[User]
Compute the rank of the given 5x5 matrix:
[[22, 10, 15, 19, -2],
 [22, 10, 15, 19, -2],
 [-24, -6, 45, 21, 12],
 [6, 4, 20, 16, 2],
 [24, 6, -45, -21, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[30, 6, -42, 5, 20],
 [49, -34, 34, 50, 66],
 [-12, -29, 3, -21, -24],
 [12, 0, -82, -38, -24],
 [-1, 9, -25, -12, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-30, -4, -6, -58, 23],
 [14, 7, -1, 60, -18],
 [-11, -14, 21, 5, -19],
 [51, -9, 22, 5, -19],
 [14, 30, -42, 50, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-21, 26, -12, -1, -2],
 [-66, -12, -24, 30, 48],
 [-5, -22, 12, -21, 0],
 [8, -14, 10, -12, -4],
 [35, 12, 6, -1, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-13, -30, -4, 6, -33],
 [32, 0, -42, -16, 10],
 [-29, 6, 24, -2, -16],
 [-34, 48, 32, -13, 4],
 [-19, -6, -14, -24, -36]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, -18, 48, 31, -26],
 [-21, 41, -28, -22, -10],
 [34, -30, -42, -17, 44],
 [4, -11, -36, -14, 10],
 [-29, 23, -38, -19, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, 25, 11, -46, 19],
 [-12, -32, -14, 15, 39],
 [-18, -33, 3, 27, 17],
 [4, 26, 10, 42, 6],
 [4, 13, 15, 24, -29]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, 6, 8, 10, -12],
 [0, 0, 0, 0, 0],
 [30, -15, -20, -25, 30],
 [18, -9, -12, -15, 18],
 [0, 0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[30, -40, -18, 23, 4],
 [-40, 11, 18, 21, -25],
 [-19, 29, -42, 13, 18],
 [26, -27, 32, -10, -7],
 [30, 10, 14, -29, 26]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, -6, -8, 10, -12],
 [1, 3, 4, -5, 6],
 [0, 0, 0, 0, 0],
 [2, 6, 8, -10, 12],
 [5, 15, 20, -25, 30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[19, -8, 39, 26, 17],
 [5, 8, -11, 12, 7],
 [11, -7, 31, 19, 12],
 [-2, -8, 22, 4, 2],
 [3, 3, -5, 3, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-1, 4, 7, 6, 7],
 [50, 6, 4, -13, 29],
 [0, 20, -15, -25, -20],
 [2, 34, 11, -4, 9],
 [-8, -36, -6, 12, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [-15, 25, 0, -25, 10],
 [3, -5, 0, 5, -2],
 [18, -30, 0, 30, -12],
 [-18, 30, 0, -30, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, 12, 0, 7, -16],
 [-4, 8, -10, 3, -4],
 [4, -8, 10, -3, 4],
 [-5, 10, 13, 8, -22],
 [-6, 12, 18, 10, -28]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-35, -15, 36, -3, 10],
 [34, -10, 0, 2, -2],
 [21, 31, 1, 34, -29],
 [0, 30, -24, 12, -15],
 [13, 33, -20, 21, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, 8, 4, -12, -12],
 [4, -4, -2, 6, 6],
 [10, -10, -5, 15, 15],
 [-6, 6, 3, -9, -9],
 [2, -2, -1, 3, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[61, -32, 10, 26, -20],
 [-13, -16, -28, 41, -30],
 [-29, -26, -6, 15, 16],
 [55, 31, 9, -31, -9],
 [12, 53, 11, -54, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[41, 10, 7, 21, 16],
 [-12, 1, -38, -30, -32],
 [10, -16, 40, 45, 36],
 [7, 0, 35, 24, 28],
 [41, 24, 11, 9, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-32, -12, 24, -6, 60],
 [30, 39, -16, 3, 6],
 [4, -10, 3, 15, -18],
 [24, -6, -8, 29, -54],
 [42, 11, 19, 28, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[10, -7, -21, -13, 13],
 [0, 7, -6, 37, -13],
 [37, -11, -57, 7, -33],
 [-21, -11, 20, -1, -41],
 [-23, -2, 34, -24, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[26, -6, -24, 12, 18],
 [-41, 6, 12, 0, -18],
 [35, -1, -12, 2, 19],
 [23, -16, -36, 20, 16],
 [33, 21, -12, 6, 33]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[16, -4, 0, -30, -16],
 [-8, 2, 0, 15, 8],
 [24, -6, -36, -15, -12],
 [-16, 4, 36, 0, 4],
 [20, -5, -3, -35, -19]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-9, -46, -9, 7, 56],
 [-12, -48, -12, 6, 60],
 [5, -30, 5, 10, 30],
 [0, 20, 0, -5, -22],
 [-18, 8, -18, -11, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 34, 9, -16, 39],
 [-20, 4, 16, 0, -16],
 [-1, 13, -60, -48, -12],
 [-50, 40, -10, -40, 40],
 [-36, -13, 3, 4, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[15, 5, -15, -15, 30],
 [12, 4, -12, -12, 24],
 [0, 0, 0, 0, 0],
 [9, 3, -9, -9, 18],
 [-9, -3, 9, 9, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-43, 7, 42, 25, 17],
 [-16, 6, 4, -1, 25],
 [28, 58, -24, 30, -48],
 [-16, 33, 8, 32, -5],
 [-47, -19, 12, 10, 56]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[8, 0, 8, -8, 8],
 [8, 0, 8, -8, 8],
 [-8, 0, -8, 8, -8],
 [-12, 0, -12, 12, -12],
 [-12, 0, -12, 12, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-20, -1, 0, 26, -53],
 [10, -11, -50, 23, 15],
 [20, 48, -2, 43, -94],
 [45, 13, -40, 15, 24],
 [-5, -26, 4, -31, 65]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[3, 2, 1, 5, -5],
 [-9, -6, -3, -15, 15],
 [-6, -4, -2, -10, 10],
 [-12, -8, -4, -20, 20],
 [-12, -8, -4, -20, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-25, 40, 20, -20, 20],
 [-9, 0, 0, 6, 6],
 [10, -4, -2, -3, -7],
 [-27, 36, 18, -15, 21],
 [18, -24, -12, 10, -14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 34, 0, 48, 42],
 [2, -14, 4, -20, -26],
 [-11, 4, 23, 8, 8],
 [5, -27, 10, -38, -45],
 [14, -4, -26, -8, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[35, 5, -15, 27, -16],
 [19, -35, 45, -25, 25],
 [1, 49, -54, 26, -41],
 [9, -20, -21, 49, 11],
 [-26, 19, -9, 41, -26]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, -20, -20, -4, 8],
 [0, -5, -5, -1, 2],
 [0, -10, -10, -2, 4],
 [0, -25, -25, -5, 10],
 [0, -5, -5, -1, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-36, -24, -12, -24, 30],
 [18, 2, 8, 20, -18],
 [-6, 4, -2, -20, 17],
 [-12, -34, 0, 20, -5],
 [24, -6, 14, 24, -17]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, -33, -10, 12, 36],
 [-3, 10, -25, 6, -29],
 [42, 30, -29, 46, 1],
 [-21, -19, 20, -24, 8],
 [39, 23, 42, 4, 30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-15, 30, 0, 20, 30],
 [-6, -30, 36, -16, -54],
 [-9, 11, 6, 8, 7],
 [3, -34, 24, -20, -50],
 [18, -29, -6, -20, -25]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[7, 24, 7, 12, 8],
 [-14, -19, -1, -16, -13],
 [-23, -4, 11, -20, -18],
 [1, 20, 2, 24, -5],
 [-12, -26, -1, -28, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[16, -24, -20, 24, -15],
 [16, -34, -19, 31, -15],
 [-56, 14, 61, -29, 42],
 [3, 18, 12, -18, 9],
 [6, 6, 27, -15, 18]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [16, -4, 16, 4, 0],
 [24, -6, 24, 6, 0],
 [8, -2, 8, 2, 0],
 [4, -1, 4, 1, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-10, 10, 30, 20, 10],
 [4, -4, -12, -8, -4],
 [4, -4, -12, -8, -4],
 [-2, 2, 6, 4, 2],
 [2, -2, -6, -4, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[11, -16, 14, 11, -3],
 [12, -12, 9, 6, -6],
 [2, 8, -10, -10, -6],
 [2, 8, -10, -10, -6],
 [-16, 16, -12, -8, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-35, -39, 3, 10, 2],
 [30, 32, -14, 0, 4],
 [-20, -22, 4, 4, 0],
 [15, 17, 1, -6, -2],
 [10, 6, -42, 28, 20]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, -2, 33, -3, 59],
 [-10, -7, -16, 12, -65],
 [-6, -22, -18, 12, 28],
 [24, -30, -8, 12, -52],
 [40, -38, -2, 10, -40]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-5, -5, -1, 1, 4],
 [25, 25, 5, -5, -20],
 [-20, -20, -4, 4, 16],
 [0, 0, 0, 0, 0],
 [15, 15, 3, -3, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[40, -26, -14, 34, -4],
 [-26, 22, 10, -26, 8],
 [0, 34, 6, -26, 36],
 [45, -25, -15, 35, 0],
 [29, -35, -13, 37, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[3, -18, -3, 15, -2],
 [38, -28, -18, 30, -32],
 [26, -16, -12, 18, -22],
 [2, -22, -3, 18, -1],
 [-1, 26, 3, -21, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-13, -12, -9, -10, 7],
 [2, -18, -10, 21, 24],
 [21, -23, -19, 40, 31],
 [9, 17, 6, -17, -28],
 [-2, -25, 12, 29, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-29, -6, 33, 23, -24],
 [1, 0, 3, 5, 0],
 [-29, -5, 13, -5, -20],
 [-7, -1, -1, -7, -4],
 [1, 0, 3, 5, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -35, 45, -2, 15],
 [16, -20, 20, -12, 20],
 [0, -32, 40, -4, 16],
 [0, 32, -40, 4, -16],
 [-28, 3, 5, 17, -19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-6, -3, -3, 4, 3],
 [12, 6, 6, -8, -6],
 [18, 9, 9, -12, -9],
 [0, 0, 0, 0, 0],
 [6, 3, 3, -4, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[10, -32, -48, -18, -38],
 [-30, 16, -16, 22, -14],
 [10, -27, -38, -16, -30],
 [-15, 3, -18, 9, -15],
 [-15, 8, -8, 11, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[26, -27, 51, 54, 9],
 [-24, -9, -12, -23, 23],
 [-44, 53, -73, -66, -12],
 [46, -23, 48, 47, -18],
 [28, 3, -21, -28, -38]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 1, 40, 26, -12],
 [15, -30, -10, -10, -25],
 [6, -7, -8, -6, -4],
 [-9, -27, 42, 24, -39],
 [18, -11, -32, -22, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[5, 1, -1, 7, 31],
 [26, 19, 5, -19, 9],
 [39, -7, 3, -9, -61],
 [-26, 41, -3, -31, -21],
 [-3, 24, -2, -14, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, 16, -4, -24, 20],
 [-2, -4, 1, 6, -5],
 [2, 4, -1, -6, 5],
 [-2, -4, 1, 6, -5],
 [2, 4, -1, -6, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-20, 11, 17, -9, 34],
 [1, -3, -4, 5, -8],
 [19, -8, -13, 4, -26],
 [12, -15, -21, 21, -42],
 [15, 4, 3, -16, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [12, 0, 0, 18, 18],
 [12, 0, 0, 18, 18],
 [4, 0, 0, 6, 6],
 [12, 0, 0, 18, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[9, 36, -5, 2, -7],
 [12, -60, -18, -6, -6],
 [-23, -9, 27, 3, 22],
 [-28, -18, 28, 2, 22],
 [-21, 42, 27, 6, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [12, 12, 20, 8, 24],
 [-6, -6, -10, -4, -12],
 [9, 9, 15, 6, 18],
 [9, 9, 15, 6, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-15, -6, -1, 8, -3],
 [-7, -21, -10, 15, -17],
 [14, 0, -2, -4, -2],
 [14, 42, 20, -30, 34],
 [-5, -30, -15, 20, -25]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[5, -41, -59, 19, -14],
 [-8, 37, 46, -30, -3],
 [9, 16, 25, -13, 2],
 [20, -11, 4, 32, 32],
 [-27, -8, -17, 17, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-20, 10, 5, 20, -15],
 [-8, 4, 2, 8, -6],
 [-24, 12, 6, 24, -18],
 [8, -4, -2, -8, 6],
 [-24, 12, 6, 24, -18]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-11, -36, 33, -19, 27],
 [29, 49, -21, 11, -49],
 [-12, -14, 10, -15, 3],
 [-21, 2, -18, 5, -53],
 [13, -36, 48, 6, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, -13, 16, 24, 24],
 [-1, 45, -1, 26, -10],
 [2, -60, 14, 16, 32],
 [29, 32, -33, -2, -36],
 [-8, -42, 28, -8, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-4, 24, -24, -16, 4],
 [3, -18, 18, 12, -3],
 [4, -24, 24, 16, -4],
 [-4, 24, -24, -16, 4],
 [-2, 12, -12, -8, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-10, -4, -2, 12, 4],
 [5, 2, 1, -6, -2],
 [-5, -2, -1, 6, 2],
 [-5, -2, -1, 6, 2],
 [-30, -12, -6, 36, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-40, -14, 8, -32, 36],
 [-30, -15, 12, -18, 24],
 [-20, -10, 8, -12, 16],
 [0, -12, 16, 16, -8],
 [30, 21, -20, 10, -20]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[4, 2, 6, 6, 6],
 [-4, -2, -6, -6, -6],
 [24, 12, 36, 36, 36],
 [-24, -12, -36, -36, -36],
 [20, 10, 30, 30, 30]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 9, -9, -8, 2],
 [12, -25, 24, 18, -5],
 [-16, -12, 0, -40, 4],
 [-5, 26, -21, -2, 3],
 [-13, 37, -33, -16, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, -3, -18, 15, -6],
 [20, 5, 30, -25, 10],
 [-16, -4, -24, 20, -8],
 [-4, -1, -6, 5, -2],
 [-16, -4, -24, 20, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[5, -8, -6, 6, -33],
 [9, -24, 18, 30, -21],
 [0, -3, 9, 6, 12],
 [-12, 39, -45, -54, 0],
 [4, -4, -12, 0, -36]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 24, 20, -12, -24],
 [0, -36, -30, 18, 36],
 [0, -18, -15, 9, 18],
 [0, 12, 10, -6, -12],
 [0, -30, -25, 15, 30]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[5, -22, -6, -14, -10],
 [2, 36, 11, 9, -30],
 [-13, 2, 4, 8, -17],
 [-16, 12, 21, -20, -35],
 [-3, -62, -29, 10, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[42, 15, 32, 5, 18],
 [33, 21, 23, -5, 3],
 [3, 3, 1, 1, -45],
 [-1, -15, 3, 13, 36],
 [26, -9, 24, 21, 30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-47, 9, -49, -10, -23],
 [31, -27, 28, -38, 18],
 [-32, 5, -39, 18, -19],
 [-30, -12, -27, 0, -6],
 [2, 57, 26, -18, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-7, -13, 4, 10, -10],
 [9, -10, 7, -25, -26],
 [-12, -27, 9, 15, -24],
 [-12, -27, 9, 15, -24],
 [4, 9, -3, -5, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 0, 24, 20, 15],
 [24, -32, -16, 40, 6],
 [-12, 19, -4, -35, -12],
 [-12, 11, 28, 5, 12],
 [-4, 4, 8, 0, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, 6, -18, 15, 12],
 [8, -4, 12, -10, -8],
 [-24, 12, -36, 30, 24],
 [-16, 8, -24, 20, 16],
 [-12, 6, -18, 15, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, -4, -24, -12, -4],
 [0, -4, -24, -12, -4],
 [0, 3, 18, 9, 3],
 [0, -4, -24, -12, -4],
 [0, -1, -6, -3, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-17, -23, -24, 27, 5],
 [-3, -5, 8, -7, -1],
 [19, 31, -42, 36, 5],
 [2, 4, -14, 13, 2],
 [-6, -8, -10, 11, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[33, -6, 19, -22, 10],
 [-5, -24, -28, 17, -15],
 [5, -16, 23, -14, 3],
 [-16, -3, 1, 13, -27],
 [49, 61, -17, 2, -12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-29, 9, 2, -18, 19],
 [0, 0, 0, 0, 0],
 [-17, 5, -2, -12, 9],
 [10, -6, -34, -9, -29],
 [28, -8, 6, 21, -13]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-25, 0, 7, -24, 11],
 [5, -35, -35, -5, 30],
 [-18, 1, 6, -17, 7],
 [28, 4, -4, 28, -16],
 [11, -27, -29, 3, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-20, 0, 22, 22, 8],
 [-10, 8, 44, 5, 6],
 [34, 0, 23, -43, 8],
 [10, 6, -24, -12, -16],
 [20, -24, 30, -18, 40]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, 12, 12, 16, -6],
 [14, 0, 6, 7, 0],
 [-8, -12, -12, -16, 6],
 [14, 0, 6, 7, 0],
 [-36, 2, -14, -16, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[20, 4, 16, -8, 8],
 [30, 6, 24, -12, 12],
 [-10, -2, -8, 4, -4],
 [-25, -5, -20, 10, -10],
 [0, 0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[1, 1, -5, 5, -6],
 [-1, -1, 5, -5, 6],
 [4, 4, -20, 20, -24],
 [-2, -2, 10, -10, 12],
 [-2, -2, 10, -10, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, -1, 3, 3, -5],
 [0, 0, 0, 0, 0],
 [-30, 5, -15, -15, 25],
 [-24, 4, -12, -12, 20],
 [-36, 6, -18, -18, 30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, -11, -15, -7, -2],
 [-12, -3, 15, 15, -18],
 [-6, 5, 10, 6, -2],
 [6, -5, -10, -6, 2],
 [-8, 11, 15, 7, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[21, -4, 9, -12, -10],
 [-27, 12, -9, 0, -6],
 [-25, 20, -5, -20, -30],
 [-14, 8, -4, -4, -8],
 [-1, 4, 1, -8, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[14, 7, -15, -28, -4],
 [20, 24, -32, 12, -20],
 [-22, -13, -9, -8, -4],
 [-9, 3, -5, -2, 19],
 [32, 60, -52, 24, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [8, 12, 2, 6, 6],
 [4, 6, 1, 3, 3],
 [-16, -24, -4, -12, -12],
 [-8, -12, -2, -6, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-25, 4, -3, 13, -9],
 [56, 8, 16, -38, 22],
 [-31, -8, -9, 22, -18],
 [50, 32, 22, -44, 40],
 [-72, -24, -24, 54, -42]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-37, -28, -9, -32, -36],
 [27, 20, 7, 24, 28],
 [19, 14, 5, 17, 20],
 [-10, -6, -4, -11, -16],
 [-9, -8, -1, -6, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[32, 22, -18, 10, -10],
 [0, 9, 23, -18, -55],
 [-53, -29, 8, -27, -51],
 [-12, 16, 23, -29, -74],
 [26, 42, -7, 2, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-18, -27, -12, 6, -18],
 [36, 6, 36, -36, 12],
 [0, 0, 0, 0, 0],
 [-60, -34, -54, 48, -32],
 [-42, -31, -36, 30, -26]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, 10, -10, 8, 12],
 [-36, 30, -30, 24, 36],
 [-36, 30, -30, 24, 36],
 [-30, 25, -25, 20, 30],
 [30, -25, 25, -20, -30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, 6, -15, -23, 35],
 [45, -15, 14, 10, -26],
 [3, 35, -15, -52, 3],
 [36, 14, 24, 29, -69],
 [29, -5, -5, -25, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-31, -1, -9, -3, -32],
 [25, -9, -11, -13, 22],
 [39, 33, 33, 3, 0],
 [-23, -33, -21, 9, 28],
 [-40, -24, -4, 28, 20]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-15, -12, 6, -12, -3],
 [-10, -8, 4, -8, -2],
 [15, 12, -6, 12, 3],
 [25, 20, -10, 20, 5],
 [25, 20, -10, 20, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-23, 32, 10, -4, -32],
 [15, 8, -4, 25, -1],
 [-34, -22, 13, -36, -10],
 [7, 7, 20, 1, -51],
 [55, 23, -12, 43, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-24, 42, 1, 38, 38],
 [-15, 24, 13, 27, 19],
 [-2, -18, -28, -14, -36],
 [15, -24, -44, -64, -41],
 [-6, 0, 21, 39, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 20, 18, -22, -2],
 [3, -32, -33, 31, 25],
 [1, 22, 21, -23, -21],
 [1, -4, -3, 5, -5],
 [-6, 46, 42, -50, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 6, 9, -15, 18],
 [8, -10, -12, 2, -24],
 [0, 10, 15, -25, 30],
 [20, -13, -12, -25, -24],
 [-20, 17, 18, 15, 36]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [5, 0, 0, -20, 10],
 [-4, 0, 0, 16, -8],
 [0, 0, 0, 0, 0],
 [-1, 0, 0, 4, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 12, 10, 8, -6],
 [-10, 12, 10, 8, -6],
 [20, -24, -20, -16, 12],
 [0, 0, 0, 0, 0],
 [-20, 24, 20, 16, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-58, -61, -68, -12, 7],
 [10, 36, 6, -9, 7],
 [-41, -17, -41, -17, 11],
 [49, 33, 33, 5, 1],
 [8, 6, -12, -10, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-30, 20, 22, 8, -30],
 [33, -22, -20, -7, 33],
 [54, -36, -6, 0, 54],
 [-30, 20, -6, -4, -30],
 [6, -4, 18, 8, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-4, -2, -6, 6, 2],
 [-16, -8, -24, 24, 8],
 [20, 10, 30, -30, -10],
 [24, 12, 36, -36, -12],
 [4, 2, 6, -6, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-9, 9, 12, 0, -15],
 [18, -18, -24, 0, 30],
 [-12, 12, 16, 0, -20],
 [-18, 18, 24, 0, -30],
 [15, -15, -20, 0, 25]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-3, 4, 5, 1, 1],
 [-26, 24, -4, 4, 8],
 [28, -26, 8, -5, -13],
 [-30, 36, 6, 12, 36],
 [-16, 18, 18, 3, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -24, 36, -24, -6],
 [-15, -20, 30, -20, -5],
 [-15, -20, 30, -20, -5],
 [-9, -12, 18, -12, -3],
 [15, 20, -30, 20, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[24, -18, -6, 18, -12],
 [12, -9, -3, 9, -6],
 [20, -15, -5, 15, -10],
 [20, -15, -5, 15, -10],
 [4, -3, -1, 3, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[10, 10, -4, -10, 8],
 [30, 30, -12, -30, 24],
 [-15, -15, 6, 15, -12],
 [-25, -25, 10, 25, -20],
 [30, 30, -12, -30, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-27, -20, 39, -3, -24],
 [-5, -5, 15, 15, 15],
 [-13, -9, 15, -9, -21],
 [26, 19, -36, 6, 27],
 [-15, -12, 27, 9, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-21, 21, 3, -9, -21],
 [8, -4, 20, -12, 24],
 [-17, 19, 13, -15, -9],
 [10, -5, 25, -15, 30],
 [16, -15, 3, 3, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[29, -14, 10, 21, -11],
 [20, -4, -2, -6, -16],
 [31, -14, 11, 12, -11],
 [57, -21, 3, 42, -39],
 [38, -16, 11, 13, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-18, -6, -12, -36, 0],
 [-15, -29, 14, -12, 30],
 [-6, -26, 20, 6, 30],
 [0, 0, 0, 0, 0],
 [15, 29, -14, 12, -30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, -31, -14, 26, 21],
 [-15, 22, 14, -3, -15],
 [5, -14, -36, 17, 15],
 [21, -2, 31, -33, -36],
 [-13, 7, -3, 12, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, 6, 1, 6, -3],
 [8, 24, 4, 24, -12],
 [2, 6, 1, 6, -3],
 [6, 18, 3, 18, -9],
 [-10, -30, -5, -30, 15]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[30, 12, -6, -18, -10],
 [1, -22, -10, -2, 37],
 [-12, 30, 33, -27, -54],
 [12, 23, 8, -10, -36],
 [-35, 50, 53, -56, -60]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[61, -9, 6, -54, 56],
 [-27, -12, -51, 11, -29],
 [39, 3, 24, -32, 38],
 [2, -18, -63, -23, -3],
 [-30, 7, -3, 23, -27]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[24, -12, 18, 6, -6],
 [-16, 8, -12, -4, 4],
 [24, -12, 18, 6, -6],
 [-8, 4, -6, -2, 2],
 [24, -12, 18, 6, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[15, 5, -15, 30, -5],
 [-9, -3, 9, -18, 3],
 [-15, -5, 15, -30, 5],
 [-6, -2, 6, -12, 2],
 [-6, -2, 6, -12, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[8, -10, 4, 12, 2],
 [-8, 10, -4, -12, -2],
 [-24, 30, -12, -36, -6],
 [-4, 5, -2, -6, -1],
 [8, -10, 4, 12, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-33, 2, 12, -22, 18],
 [27, 45, -16, 34, -33],
 [45, 26, -18, 42, 10],
 [33, -2, -19, 12, -51],
 [12, -49, 3, -6, -27]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[38, -27, -42, -20, 54],
 [29, -5, -22, -10, 28],
 [-1, -10, 1, -3, 5],
 [32, -36, -42, -23, 45],
 [-25, 18, 15, 16, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[27, -3, -24, 27, 0],
 [-26, 2, 26, -22, 4],
 [4, 0, -5, 2, -2],
 [5, -5, 10, 25, 20],
 [11, 1, -17, 1, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[14, 3, -14, -39, -7],
 [18, -7, -12, 61, 7],
 [6, 5, 3, 40, 1],
 [18, 33, 9, 21, -15],
 [-26, -17, 8, -19, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-51, -3, 27, 21, 36],
 [-41, 3, 33, 27, 32],
 [14, 13, 18, 17, -3],
 [0, -23, -48, -43, -13],
 [32, 10, 0, 2, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-9, 26, 14, 21, 24],
 [-18, -5, -38, -30, -15],
 [-11, 17, 0, 7, 13],
 [-6, -8, -20, -18, -12],
 [-2, -9, -14, -14, -11]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[12, -20, -18, 3, 24],
 [-12, -30, -14, 0, -4],
 [-12, -2, 14, -12, -20],
 [-15, -15, 20, -25, -25],
 [-30, -37, -9, -4, -26]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 36, -14, 64, -25],
 [7, 51, 44, -9, -11],
 [-4, 45, 23, 17, -16],
 [3, 6, 9, -2, -5],
 [-12, 18, -6, 42, -24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[11, 0, 2, 13, -18],
 [-11, -24, -10, 11, 5],
 [-5, -4, -92, -19, 59],
 [26, 15, -7, 12, 17],
 [28, 37, 28, -2, -24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[46, -64, 5, -13, -63],
 [-17, -27, 38, 36, -32],
 [27, 2, -30, -33, 7],
 [11, -18, 7, 0, -18],
 [35, -65, 16, 0, -66]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, 15, 5, -24, 21],
 [8, -24, -1, 37, -28],
 [-18, 33, -3, -50, 35],
 [14, -27, 2, 41, -29],
 [18, -33, 3, 50, -35]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[22, 26, -27, -43, -49],
 [19, 29, -20, 24, -16],
 [-5, -11, 7, 7, 1],
 [-10, -18, 15, 38, 15],
 [1, -1, 1, 21, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[10, -10, 19, -14, -5],
 [-50, 11, -39, 15, 61],
 [20, 40, -82, 56, 26],
 [-12, -14, -29, -13, 39],
 [-18, 54, 3, 60, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[47, -14, 23, -26, 56],
 [3, -21, 7, -22, 12],
 [-20, -10, -20, 15, -50],
 [5, 10, -3, 12, -4],
 [-17, -1, -5, 1, -14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-10, -2, -4, 12, 4],
 [-10, 4, -2, 10, -6],
 [5, -11, -2, -2, 18],
 [-5, -1, -2, 6, 2],
 [-5, 5, 0, 4, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 2, 0, 3, -2],
 [20, 10, 0, 15, -10],
 [4, 2, 0, 3, -2],
 [12, 6, 0, 9, -6],
 [-4, -2, 0, -3, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-32, 39, -17, -17, -29],
 [-22, 58, -14, -28, -32],
 [-3, 19, 21, -3, -14],
 [15, -22, -20, 0, 43],
 [9, 42, 2, -22, -19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[15, -10, 15, -10, -30],
 [12, -8, 12, -8, -24],
 [12, -8, 12, -8, -24],
 [15, -10, 15, -10, -30],
 [15, -10, 15, -10, -30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[26, 39, 10, 54, 30],
 [1, 4, 0, 35, 28],
 [35, 52, 16, 53, 16],
 [-42, -61, -54, -59, -31],
 [4, 5, 0, -14, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-9, -24, 8, 6, 17],
 [-12, 8, 24, 8, 16],
 [-18, -54, 14, 12, 35],
 [-9, 6, 18, 6, 12],
 [-9, -18, 10, 6, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[30, -30, -1, 10, 28],
 [-4, 36, -35, -30, 3],
 [38, -22, -8, -8, 40],
 [24, 7, 1, -37, -12],
 [70, -44, 46, -38, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 18, -3, 18, 15],
 [-20, 30, -5, 30, 25],
 [12, -18, 3, -18, -15],
 [16, -24, 4, -24, -20],
 [-24, 36, -6, 36, 30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-1, 20, 7, -6, -3],
 [-15, 23, 24, 1, 47],
 [56, 62, -38, -10, -30],
 [36, 57, -39, -3, 6],
 [64, 85, -49, -9, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-21, -23, -10, -27, 60],
 [-15, 5, -5, 15, -30],
 [-34, -17, -13, -26, 32],
 [4, 16, 4, 12, -48],
 [-12, 0, -3, -12, -6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-12, 14, -58, 29, 21],
 [-6, 36, 12, 7, 30],
 [12, 2, 56, -22, -12],
 [10, 42, 18, 10, 11],
 [6, 28, -20, 21, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[15, -18, -3, -6, 3],
 [-7, 21, 11, 4, 16],
 [-36, 18, -12, 12, -42],
 [-23, 15, -5, 8, -22],
 [-24, 12, -8, 8, -28]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 6, -17, 13, 11],
 [12, 18, 25, 5, -7],
 [8, -30, -21, -18, -11],
 [-20, 54, 2, 47, -1],
 [20, -54, -42, -31, -31]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -20, 10, 26, -22],
 [-41, -60, -12, 22, -24],
 [-29, -30, -9, -4, -7],
 [-32, -34, -19, -17, 1],
 [56, 70, 19, -8, 21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 10, 6, 8, 8],
 [0, 20, 12, 16, 16],
 [0, -30, -18, -24, -24],
 [0, -15, -9, -12, -12],
 [0, -20, -12, -16, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-30, 25, 25, 15, -5],
 [10, 0, -14, -35, -15],
 [17, -20, -30, -31, -23],
 [-18, 8, -4, -18, -34],
 [-18, 15, 15, 9, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[10, -12, -8, -6, -4],
 [-31, 30, 60, 45, 2],
 [-11, -4, 0, -11, -18],
 [-18, 12, 36, 24, -6],
 [10, 10, -48, -28, 26]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[25, -25, 15, 15, 30],
 [-25, 25, -15, -15, -30],
 [10, -10, 6, 6, 12],
 [-30, 30, -18, -18, -36],
 [-15, 15, -9, -9, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[20, 16, 4, -20, 8],
 [3, 16, 19, -3, -6],
 [-10, -25, -25, 10, 5],
 [-18, -28, -22, 18, 0],
 [14, 1, -11, -14, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -6, 24, 36, 12],
 [16, 4, -16, -24, -8],
 [24, 6, -24, -36, -12],
 [-24, -6, 24, 36, 12],
 [-20, -5, 20, 30, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[8, 18, -8, -8, 48],
 [-20, 25, 15, 10, 5],
 [36, -19, -31, -14, 49],
 [-8, 6, 12, -16, -36],
 [16, -13, -15, 0, 22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-50, 14, -10, 36, 34],
 [-35, 13, -5, 25, 42],
 [24, 0, -22, -30, -32],
 [38, -10, 24, -13, 5],
 [20, -16, 46, -13, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-15, 0, -25, -40, -20],
 [-11, -15, -28, -32, 25],
 [-90, -72, 6, -24, 0],
 [-17, -3, -18, -32, -19],
 [47, 45, 0, 12, -19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[16, 17, -32, -44, -17],
 [14, -8, 2, -5, -10],
 [-28, 12, -5, -23, -14],
 [12, -15, -9, 5, 21],
 [24, -10, 2, 24, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[34, -81, -47, 26, 8],
 [-27, 39, 19, 0, -10],
 [-18, -53, -38, 4, 1],
 [-11, -29, -18, 102, -15],
 [4, -8, -9, 6, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[12, 0, -26, 8, -51],
 [63, 10, -2, 14, -20],
 [13, 40, -26, 8, 23],
 [-53, -2, -9, -24, -16],
 [17, 26, -8, -34, -47]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 6, -2, 6, -4],
 [24, -12, 4, -12, 8],
 [-18, 9, -3, 9, -6],
 [-6, 3, -1, 3, -2],
 [6, -3, 1, -3, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[1, 1, 1, -4, -18],
 [-2, 8, -10, -36, 39],
 [1, -21, 12, 31, -34],
 [0, -12, 11, 21, -54],
 [-25, 41, -11, -14, 41]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[25, 16, 29, -28, -10],
 [5, -18, -7, 14, 30],
 [0, -2, -2, 16, -10],
 [8, 15, 13, 22, -55],
 [-37, -13, -37, 41, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-5, 0, -6, -8, -27],
 [-73, -13, -2, -23, 0],
 [8, 13, 28, 5, -19],
 [-54, 33, -24, 9, 27],
 [-52, -25, 12, -25, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[52, 24, -32, -18, -7],
 [-22, -16, 0, -12, 2],
 [-7, -12, 26, 6, -38],
 [7, 4, -18, -12, 13],
 [-28, 4, 38, 52, 23]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[36, -12, -24, -6, -36],
 [30, -10, -20, -5, -30],
 [-6, 2, 4, 1, 6],
 [0, 0, 0, 0, 0],
 [-18, 6, 12, 3, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-35, 21, -14, 76, -34],
 [-14, 18, -27, -8, -7],
 [20, -27, 38, 46, 5],
 [-39, 36, -15, 35, -27],
 [-45, 21, 3, 28, -35]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 8, 12, 0, 24],
 [0, -2, -3, 0, -6],
 [0, -6, -9, 0, -18],
 [0, -10, -15, 0, -30],
 [0, 6, 9, 0, 18]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 24, 4, -20],
 [15, -10, -50, -20, 45],
 [-15, 10, 20, 15, -20],
 [6, -4, 4, -4, -2],
 [3, -2, -4, -3, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -12, 0, 1, -1],
 [-29, -11, -27, 43, 20],
 [-1, -23, 25, -41, -28],
 [-36, -36, -8, 13, -1],
 [-10, -12, 0, 1, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-29, 12, -30, -6, -18],
 [25, -9, -3, 17, -28],
 [-34, 21, 24, 59, 2],
 [-16, 9, 41, 21, 42],
 [-21, 9, 12, -27, 36]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[14, 10, -21, -31, 7],
 [36, 20, -34, -14, 38],
 [-22, -12, 20, 6, -24],
 [38, 22, -39, -25, 37],
 [1, -2, 8, 29, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-60, 26, 55, -30, -11],
 [-24, -6, 27, 17, -57],
 [28, 8, -42, -2, 39],
 [-30, 16, 14, 16, -58],
 [-16, 0, 28, -36, 46]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[8, 6, 12, 20, 0],
 [-12, -3, -9, -15, -6],
 [-12, 3, 0, 0, -12],
 [24, -2, 6, 10, 20],
 [-8, 2, 0, 0, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [24, -24, -8, 4, -12],
 [-36, 36, 12, -6, 18],
 [-30, 30, 10, -5, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-5, 20, -20, 5, -20],
 [-1, 4, -4, 1, -4],
 [1, -4, 4, -1, 4],
 [2, -8, 8, -2, 8],
 [4, -16, 16, -4, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[22, 40, -18, 11, -6],
 [-1, -7, 6, 1, -3],
 [-43, -37, -6, 20, 2],
 [32, 18, 14, 20, -29],
 [12, -2, 14, -10, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-24, 12, -6, 18, -8],
 [-24, 12, -6, 18, -8],
 [20, 10, 23, -21, -12],
 [-23, 29, 10, 12, -24],
 [-24, 42, 21, 9, -36]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-16, -36, -40, 16, 0],
 [-17, -28, -23, 15, -26],
 [-19, -17, -18, 22, -8],
 [44, 24, 32, -56, 0],
 [-23, -17, -20, 28, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, -10, 12, 4, -2],
 [26, 15, -30, -14, -1],
 [-20, 10, 12, 12, 10],
 [-4, -40, 24, 0, -16],
 [-19, 20, 6, 12, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -16, -8, 44, -32],
 [56, -56, -52, 16, 39],
 [-53, -6, -4, -12, -55],
 [-34, -12, -4, 30, -20],
 [41, -10, -12, 5, 21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 15, -35, 0],
 [0, 0, -6, 14, 0],
 [-2, -5, 18, -39, -1],
 [-8, -20, -3, 19, -4],
 [-4, -10, 0, 6, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-30, 25, -15, -15, -10],
 [36, -30, 18, 18, 12],
 [12, -10, 6, 6, 4],
 [-12, 10, -6, -6, -4],
 [0, 0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 36, -12, -6, 12],
 [6, -36, 12, 6, -12],
 [0, 0, 0, 0, 0],
 [5, -30, 10, 5, -10],
 [0, 0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-25, 1, 2, 5, -2],
 [-23, 4, 8, -1, 6],
 [-20, 3, 6, 0, 4],
 [-3, 12, 24, -21, 30],
 [17, 9, 18, -21, 26]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[53, 21, 79, 37, -74],
 [-9, -55, -25, 10, 12],
 [30, -6, 36, -48, -42],
 [-12, 36, -36, -32, 38],
 [14, -36, 6, -25, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-30, 0, -15, -10, 15],
 [24, 0, 12, 8, -12],
 [36, 0, 18, 12, -18],
 [-12, 0, -6, -4, 6],
 [12, 0, 6, 4, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[20, 0, -5, 20, -5],
 [0, 0, 0, 0, 0],
 [-16, 0, 4, -16, 4],
 [-24, 0, 6, -24, 6],
 [-20, 0, 5, -20, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, 20, -12, 24, 8],
 [6, -15, 9, -18, -6],
 [12, -30, 18, -36, -12],
 [12, -30, 18, -36, -12],
 [-6, 15, -9, 18, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-26, -14, 12, 14, -4],
 [27, 27, 22, 19, 7],
 [-14, 3, 34, 3, -17],
 [13, 6, -8, 6, 10],
 [-9, 10, 44, 20, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, -3, 15, -15, -15],
 [0, -5, 25, -25, -25],
 [0, -4, 20, -20, -20],
 [0, 2, -10, 10, 10],
 [0, 2, -10, 10, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-40, -10, -32, -50, 44],
 [-12, 1, -11, 12, 8],
 [24, 15, 12, 5, -13],
 [9, 9, 25, -15, -24],
 [-13, -48, 23, 22, -29]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [-15, -15, 3, 6, -3],
 [15, 15, -3, -6, 3],
 [-30, -30, 6, 12, -6],
 [10, 10, -2, -4, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, -9, 12, 0, 9],
 [-4, 6, -8, 0, -6],
 [4, -6, 8, 0, 6],
 [12, -18, 24, 0, 18],
 [-10, 15, -20, 0, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-36, 30, 0, 12, 18],
 [30, -25, 0, -10, -15],
 [12, -10, 0, -4, -6],
 [0, 0, 0, 0, 0],
 [-36, 30, 0, 12, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[20, 15, -20, -10, -5],
 [8, 6, -8, -4, -2],
 [4, 3, -4, -2, -1],
 [24, 18, -24, -12, -6],
 [-16, -12, 16, 8, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-11, -53, -3, -21, 11],
 [12, -24, -24, 12, -12],
 [-10, 17, 19, -8, 10],
 [8, 14, -6, 12, -8],
 [-12, 24, 24, -20, 12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-1, 22, -9, 28, 0],
 [-25, -2, -38, 11, -14],
 [27, 2, -11, 32, 30],
 [-39, -24, -71, 7, -17],
 [-37, 14, 0, -15, -38]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 25, 20, -5, 0],
 [0, 15, 12, -3, 0],
 [0, 30, 24, -6, 0],
 [0, -30, -24, 6, 0],
 [0, 25, 20, -5, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-12, -4, 12, -2, -10],
 [18, 6, -18, 3, 15],
 [-12, -4, 12, -2, -10],
 [18, 6, -18, 3, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 48, 25, -40, -6],
 [2, 33, 17, -26, 1],
 [10, 45, 33, 14, -11],
 [-4, -57, -34, 23, 7],
 [16, -21, -1, 71, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[5, 24, 6, -1, 1],
 [18, 0, 47, -2, 30],
 [-17, 20, 47, 23, -9],
 [1, -8, 35, 5, 13],
 [63, 23, -43, -17, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[3, 2, 4, 6, 2],
 [-18, -12, -24, -36, -12],
 [-3, -2, -4, -6, -2],
 [0, 0, 0, 0, 0],
 [12, 8, 16, 24, 8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[44, 14, -45, 32, -18],
 [-27, -25, 23, -16, 21],
 [13, 41, -14, 8, -33],
 [20, -25, 21, -9, 35],
 [-32, -38, 0, -2, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, -24, 19, -32, -31],
 [18, 0, -15, 12, 15],
 [24, -16, -4, -8, -4],
 [-6, -12, 17, -22, -23],
 [18, -12, -3, -6, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, 13, -10, 0, 9],
 [-11, -17, 18, -6, -10],
 [-45, 27, -6, -18, 24],
 [2, -22, 16, -12, -12],
 [17, -40, 31, 38, -38]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, 32, -44, 0, 15],
 [10, 18, -26, -24, -15],
 [8, -18, 22, -8, -20],
 [-9, 16, -19, 3, 15],
 [-10, -35, 49, 0, -15]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-18, -3, -12, 3, 3],
 [6, 1, 4, -1, -1],
 [-18, -3, -12, 3, 3],
 [-36, -6, -24, 6, 6],
 [0, 0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[6, 6, -15, -15, -18],
 [-10, -10, 25, 25, 30],
 [4, 4, -10, -10, -12],
 [-12, -12, 30, 30, 36],
 [-8, -8, 20, 20, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 10, 30, 0, 30],
 [0, 12, 36, 0, 36],
 [0, 2, 6, 0, 6],
 [0, 2, 6, 0, 6],
 [0, -6, -18, 0, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, 47, -5, -50, 64],
 [-2, -19, -9, 13, -24],
 [0, -45, 3, 45, -60],
 [6, 45, -31, -48, 56],
 [15, 24, -17, -12, 22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[1, 1, 0, -1, 1],
 [-3, -3, 0, 3, -3],
 [6, 6, 0, -6, 6],
 [1, 1, 0, -1, 1],
 [1, 1, 0, -1, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[15, 11, 23, 25, 24],
 [15, 19, 3, -21, -10],
 [-9, -6, -51, -21, 6],
 [33, 38, 7, -25, 0],
 [-33, -34, -31, 1, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, -1, 0, -3, -3],
 [4, -10, -30, -6, 6],
 [-4, -2, -10, 2, 6],
 [-24, 9, 10, 19, 15],
 [-6, -6, -25, 2, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[1, 23, 0, 12, -1],
 [26, -32, 67, -24, -15],
 [14, -60, -61, -24, 24],
 [41, -16, -87, 30, 33],
 [21, -47, -57, -12, 23]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-25, -5, 15, -5, 25],
 [10, 12, -8, -6, -8],
 [-15, 2, 8, -7, 16],
 [-30, 24, 12, -30, 36],
 [-30, 14, 14, -22, 34]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-30, -62, 27, 23, -10],
 [-53, -4, -26, 54, 41],
 [-41, 12, -38, 50, 49],
 [15, 10, -6, -8, 2],
 [2, -2, -13, 11, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-20, -6, 20, -34, 8],
 [-30, -15, 25, -55, 5],
 [-22, -3, 25, -35, 13],
 [-6, -3, 5, -11, 1],
 [6, -3, -10, 7, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[11, -9, -5, 3, -19],
 [-31, 7, 4, 34, -4],
 [-33, 25, 25, 18, -9],
 [10, -10, -11, 4, 11],
 [-44, 26, 13, -16, 39]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[9, 9, 22, 27, -56],
 [-16, -1, -8, -24, -5],
 [17, 20, 2, 11, -9],
 [-35, 1, -34, -60, 14],
 [25, -22, 36, 60, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, 27, 8, -6, 6],
 [20, 7, -3, 30, 29],
 [-14, 17, 10, -11, -9],
 [18, -4, -19, 19, 38],
 [4, -3, -1, 16, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[52, -32, 12, -6, -30],
 [-23, -8, -13, 5, 40],
 [-41, 28, 23, 15, 63],
 [37, -31, -11, -20, -41],
 [21, 33, 39, -44, -70]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-15, 14, 34, -7, -1],
 [19, 23, 14, 7, 18],
 [-9, 16, 43, 38, -1],
 [1, 12, -13, 12, -13],
 [-21, -39, -28, -7, -22]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, -36, 6, -24, 0],
 [3, -18, 3, -12, 0],
 [0, 0, 0, 0, 0],
 [-3, 18, -3, 12, 0],
 [-1, 6, -1, 4, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-20, 11, -31, -23, -11],
 [-13, -21, -10, 22, -19],
 [4, -9, 9, 9, -3],
 [-7, -9, -7, 19, -4],
 [17, 16, 19, -37, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-3, -6, 9, -3, -18],
 [0, 0, 0, 0, 0],
 [-1, -2, 3, -1, -6],
 [5, 10, -15, 5, 30],
 [4, 8, -12, 4, 24]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[23, 45, 9, 57, 57],
 [29, -15, 10, 8, -26],
 [-6, -36, -18, -22, -57],
 [38, -23, -42, -26, -71],
 [50, 48, 0, 64, 45]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, 39, -4, -20, -35],
 [-3, 51, 16, -49, -50],
 [10, 38, 24, -46, -36],
 [-10, -2, -4, 38, 20],
 [21, -42, 40, -31, 25]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-15, -15, -10, -25, 25],
 [0, 0, 0, 0, 0],
 [3, 3, 2, 5, -5],
 [-18, -18, -12, -30, 30],
 [6, 6, 4, 10, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 16, -8, -1, -33],
 [1, 16, -20, 8, -48],
 [10, 4, -14, 8, -30],
 [-18, -4, 14, -6, 48],
 [-18, 4, 2, 0, 26]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[15, 1, 5, 6, 14],
 [10, -45, -55, 12, -3],
 [-17, 25, 25, 6, 14],
 [1, 32, 18, 10, 23],
 [-17, 19, 12, 8, 12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-42, 0, -42, -34, 53],
 [-1, 52, 16, -13, 11],
 [-17, -31, -28, -6, 12],
 [-51, 33, -42, -48, 63],
 [26, 1, 26, 21, -34]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[46, -1, -7, -45, 44],
 [-8, -10, 38, 0, 8],
 [31, 25, -29, -4, 13],
 [-10, 19, 25, 33, -8],
 [-47, 2, -4, 46, -49]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-16, -1, 20, 45, -42],
 [3, -15, -8, -4, 3],
 [-4, 8, 8, 4, -12],
 [7, 19, -2, -36, 15],
 [1, 10, 0, 5, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-24, -58, 37, -24, -6],
 [64, 43, -27, 7, 48],
 [-13, -24, 3, 1, 12],
 [-67, -23, 49, 10, -102],
 [50, -15, 18, -10, 42]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-12, -8, 3, 6, -11],
 [12, 16, -3, -6, 19],
 [-24, 0, 6, 12, -6],
 [12, 0, -3, -6, 3],
 [-4, -12, 1, 2, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-26, -30, 4, 10, -22],
 [17, 24, 12, 11, 29],
 [19, 30, 24, 25, 43],
 [11, 12, -4, -7, 7],
 [13, 12, -12, -17, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[6, -6, -6, 24, 0],
 [5, -5, -5, 20, 0],
 [-5, 5, 5, -20, 0],
 [3, -3, -3, 12, 0],
 [6, -6, -6, 24, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[2, 7, -20, 7, -27],
 [6, -13, 8, -13, 4],
 [8, -24, 24, -24, 22],
 [0, -6, 12, -6, 15],
 [18, -37, 20, -37, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-40, 52, -41, -22, -8],
 [10, 16, 1, 9, -1],
 [-28, 14, -22, -54, 0],
 [-18, -8, -5, -53, 8],
 [42, -34, 23, 53, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[58, -18, -4, 12, 36],
 [-54, 14, 22, 4, -8],
 [66, 0, -36, 18, 18],
 [-29, 22, -32, -19, -55],
 [25, 19, -40, 14, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -21, -4, 14, 52],
 [-33, -45, -51, 6, 24],
 [-47, -43, -47, -19, 48],
 [38, 26, 30, 38, -40],
 [-3, 6, 3, -22, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, 1, 5, 5, 3],
 [24, 4, 20, 20, 12],
 [-30, -5, -25, -25, -15],
 [12, 2, 10, 10, 6],
 [-12, -2, -10, -10, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, 12, 36, -18, -6],
 [-4, -8, -24, 12, 4],
 [-3, -6, -18, 9, 3],
 [5, 10, 30, -15, -5],
 [1, 2, 6, -3, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-24, -24, 6, 17, 9],
 [0, 0, 0, 0, 0],
 [16, 24, -24, -20, -12],
 [-12, -6, -12, 2, 0],
 [56, 48, 6, -31, -15]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-36, 9, 26, -40, 6],
 [32, 14, -17, 14, -45],
 [10, -41, -28, 36, -12],
 [20, 35, 10, 0, 30],
 [27, 3, -14, 24, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-6, 15, -29, 7, -13],
 [-1, 25, -43, -7, -18],
 [-1, -4, 7, 27, -8],
 [1, 41, -15, -51, 4],
 [-3, -39, -25, 47, -14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-40, 6, -56, 0, -18],
 [8, -1, 16, 8, 11],
 [-1, 1, 19, 34, 31],
 [38, -6, 46, -12, 6],
 [-15, 3, -3, 30, 21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[30, -6, 36, 0, 6],
 [-25, 5, -30, 0, -5],
 [-10, 2, -12, 0, -2],
 [-30, 6, -36, 0, -6],
 [-30, 6, -36, 0, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-18, 15, 18, -12, -18],
 [-18, 15, 18, -12, -18],
 [6, -5, -6, 4, 6],
 [-12, 10, 12, -8, -12],
 [12, -10, -12, 8, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-20, -33, -35, 4, -21],
 [-4, -27, -22, 5, -3],
 [-20, -10, -45, -9, -36],
 [16, 22, -7, -15, 8],
 [-12, 4, -35, -13, -28]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-21, 6, 17, -28, -1],
 [-32, 13, 16, -36, 24],
 [29, -21, 5, 0, 32],
 [-24, 20, -10, 8, -33],
 [-26, 12, 10, -24, 10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -9, -6, -3, -15],
 [-12, -6, -4, -2, -10],
 [-6, -3, -2, -1, -5],
 [-12, -6, -4, -2, -10],
 [18, 9, 6, 3, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-2, -8, 12, -8, 0],
 [-15, 10, 20, 30, -40],
 [-3, -12, 18, -12, 0],
 [-5, -20, 30, -20, 0],
 [6, -4, -8, -12, 16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[6, 0, 5, -2, -5],
 [-24, 0, -20, 8, 20],
 [6, 0, 5, -2, -5],
 [-12, 0, -10, 4, 10],
 [0, 0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[4, 3, 25, -12, 30],
 [-33, 65, -9, -58, 8],
 [-32, 57, -14, -43, -5],
 [24, -30, 39, -3, 51],
 [19, -33, -30, -4, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 28, 3, -34, 2],
 [18, -12, -21, 6, 18],
 [-6, -20, 11, 30, -14],
 [-9, 27, 7, -31, -2],
 [9, 3, -12, -9, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-49, -17, 13, -59, -37],
 [-16, 25, -20, 1, -40],
 [-5, -7, 5, -25, -11],
 [8, 32, -26, 8, -37],
 [-15, 19, -15, 5, -28]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, -30, 20, -34, -28],
 [0, 45, -30, 25, 40],
 [0, -9, 6, -5, -8],
 [30, -15, 10, 35, -10],
 [-6, 30, -20, 8, 26]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[8, 18, -12, -22, -12],
 [-16, -8, 3, 16, -4],
 [-12, -3, 0, 9, -6],
 [0, -8, 6, 8, 8],
 [-20, 11, -12, -1, -26]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 8, -4, -8, 4],
 [-2, -8, 2, -28, 14],
 [-5, 1, -2, -28, 14],
 [-6, 30, -12, 24, -12],
 [-2, 4, -2, -4, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, -5, -2, -4, 5],
 [-6, 5, 2, 4, -5],
 [18, -15, -6, -12, 15],
 [6, -5, -2, -4, 5],
 [6, -5, -2, -4, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[7, -19, -1, -22, 39],
 [6, -12, 0, -9, 18],
 [-7, 19, 1, 22, -39],
 [9, -3, 3, 21, -27],
 [2, 6, 2, 20, -30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[10, -15, 10, -20, 0],
 [-10, 15, -10, 20, 0],
 [2, -3, 2, -4, 0],
 [2, -3, 2, -4, 0],
 [12, -18, 12, -24, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, 20, 4, 8, 12],
 [-6, 15, 3, 6, 9],
 [-6, 15, 3, 6, 9],
 [-6, 15, 3, 6, 9],
 [0, 0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-36, -14, -30, -3, -21],
 [0, -6, 0, -9, -9],
 [0, -6, 0, -9, -9],
 [-12, -12, -10, -12, -18],
 [36, 14, 30, 3, 21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-21, -84, -66, 6, -93],
 [14, -17, -8, 16, -5],
 [3, -28, -45, -24, -45],
 [-16, -4, 16, 10, -2],
 [8, 40, 19, -56, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, -4, 2, -6, -8],
 [-4, 4, -2, 6, 8],
 [10, -10, 5, -15, -20],
 [-12, 12, -6, 18, 24],
 [2, -2, 1, -3, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[37, 8, 16, -2, 11],
 [28, 4, 28, -6, -2],
 [21, 8, 14, -5, 10],
 [9, -23, 0, 16, -38],
 [27, 2, -22, 13, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[16, 16, -12, -16, 4],
 [8, 8, -6, -8, 2],
 [0, 0, 0, 0, 0],
 [20, 20, -15, -20, 5],
 [16, 16, -12, -16, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-45, -10, -85, -35, -10],
 [23, 26, 51, 30, -1],
 [-13, -32, 43, 47, 35],
 [30, 16, -42, -44, -16],
 [-26, -36, 22, -30, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, -5, 12, 1, -4],
 [13, 16, -30, 29, -18],
 [1, 4, -6, 13, -10],
 [-27, -18, 42, -1, -10],
 [-9, -9, 18, -12, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-24, -20, 8, -20, -12],
 [12, 10, -4, 10, 6],
 [12, 10, -4, 10, 6],
 [-36, -30, 12, -30, -18],
 [24, 20, -8, 20, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[15, -15, -12, 0, 12],
 [-20, 20, 16, 0, -16],
 [5, -5, -4, 0, 4],
 [-30, 30, 24, 0, -24],
 [5, -5, -4, 0, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-66, 6, -6, -18, 6],
 [9, -11, -9, -7, 21],
 [-9, 11, 9, 7, -21],
 [30, -18, -12, -6, 30],
 [-34, -2, -8, -14, 14]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-46, 45, -29, -3, -31],
 [10, -6, 8, 22, 24],
 [-7, 15, 22, 19, 23],
 [14, -6, 64, -16, 23],
 [27, -21, 48, -1, 31]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-12, -4, 50, 10, -14],
 [-13, -2, -24, 11, 36],
 [-23, 10, 4, 49, 32],
 [-19, -4, -34, 14, 52],
 [13, -4, 5, -24, -23]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, -6, -2, 2, 12],
 [0, -3, -1, 1, 6],
 [0, 12, 4, -4, -24],
 [0, -12, -4, 4, 24],
 [0, -15, -5, 5, 30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, 5, 9, -26, -24],
 [1, 6, -6, 8, 9],
 [-7, 2, 6, -16, -15],
 [-15, 20, 0, -20, -15],
 [-24, 54, -18, -12, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[13, -11, 7, -18, 11],
 [6, -33, -13, -22, 16],
 [10, 21, 17, 16, -7],
 [-28, 3, -23, 0, -5],
 [20, -63, -7, -50, 30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 0, -8, 4, 6],
 [16, 0, 16, -8, -12],
 [-16, 0, -16, 8, 12],
 [-24, 0, -24, 12, 18],
 [-4, 0, -4, 2, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-15, -9, -39, 3, -33],
 [-10, 30, 28, -25, 23],
 [30, -50, -24, 45, -19],
 [10, -2, 14, 4, 12],
 [5, -5, 1, 5, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[7, 19, -18, 13, -18],
 [26, -38, -28, 6, -4],
 [-10, -23, 12, -9, 20],
 [-22, -23, -2, 3, 23],
 [-8, 21, 28, -13, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-6, 20, 16, 29, -16],
 [22, -8, 12, 5, 8],
 [8, -44, -46, -54, 4],
 [17, -37, -31, -32, -6],
 [-10, 18, 16, 8, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-26, -48, -22, 32, -7],
 [-38, -14, 1, 16, 36],
 [22, 8, -18, -32, -19],
 [18, 26, 37, 16, -4],
 [24, 34, 5, -36, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, -6, 18, -23, 14],
 [20, -8, 4, 7, 26],
 [-7, -3, 15, -26, 0],
 [-30, -2, -26, 27, -22],
 [-17, 3, -15, 14, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [30, -5, 25, -5, 15],
 [30, -5, 25, -5, 15],
 [-6, 1, -5, 1, -3],
 [30, -5, 25, -5, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-17, 7, 5, -42, 2],
 [10, 25, 50, -15, 20],
 [-1, 3, 5, -6, 2],
 [16, 18, 40, 6, 16],
 [4, -1, 0, 9, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, 6, -18, -6, 0],
 [41, -35, 39, 29, 36],
 [-4, 3, 2, -2, -6],
 [37, -31, 27, 25, 36],
 [-5, 5, -15, -5, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[10, -10, -12, 8, -12],
 [-25, 25, 30, -20, 30],
 [5, -5, -6, 4, -6],
 [-30, 30, 36, -24, 36],
 [-30, 30, 36, -24, 36]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[0, 2, -2, 4, -5],
 [0, -8, 8, -16, 20],
 [0, -2, 2, -4, 5],
 [0, 2, -2, 4, -5],
 [0, -8, 8, -16, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -2, -26, 17, 25],
 [-16, 22, 22, -38, -36],
 [18, -22, -28, 1, 9],
 [28, -16, 56, 3, -1],
 [-17, 17, 62, 8, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[16, -36, 41, 7, -1],
 [44, -42, -7, -27, 63],
 [62, -56, 0, -74, 40],
 [-25, 24, 76, 43, 8],
 [66, -60, 0, -90, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[8, -12, -2, 0, -2],
 [8, -12, -2, 0, -2],
 [-12, 18, 3, 0, 3],
 [8, -12, -2, 0, -2],
 [0, 0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[17, -8, -2, 7, 24],
 [6, -16, -2, 12, 4],
 [-21, 16, 5, -12, -30],
 [-25, 2, -12, -11, -21],
 [2, 22, 16, -8, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-31, 57, 45, 0, -49],
 [-1, 16, 18, -10, -10],
 [32, -67, -63, -32, 68],
 [-4, 26, 6, 12, -18],
 [-11, 21, -3, 14, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, -2, -4, 4, 8],
 [6, 1, 2, -2, -4],
 [36, 6, 12, -12, -24],
 [36, 6, 12, -12, -24],
 [-18, -3, -6, 6, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[66, 12, 30, -36, -42],
 [79, 15, 22, -10, 25],
 [63, 31, 31, -19, 4],
 [-42, -30, -52, 25, 28],
 [-70, -39, 16, 30, -5]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-20, 0, 16, 4, -12],
 [-15, 0, 12, 3, -9],
 [15, 0, -12, -3, 9],
 [30, 0, -24, -6, 18],
 [-10, 0, 8, 2, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 24, 24, -42, 38],
 [24, 6, 42, -6, 14],
 [-11, -36, -81, 36, -46],
 [-18, 24, 18, -18, 18],
 [7, 36, 69, -24, 34]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[10, 20, -5, 0, -5],
 [-8, -16, 4, 0, 4],
 [2, 4, -1, 0, -1],
 [-10, -20, 5, 0, 5],
 [6, 12, -3, 0, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[20, -20, -15, -5, 0],
 [-4, 4, 3, 1, 0],
 [-4, 4, 3, 1, 0],
 [4, -4, -3, -1, 0],
 [-16, 16, 12, 4, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[20, -8, 4, -32, -10],
 [-32, 10, -4, 52, 18],
 [12, -23, 18, -14, 7],
 [22, -20, 14, -32, -3],
 [-26, 9, -4, 42, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [18, -6, 0, -15, -3],
 [-12, 4, 0, 10, 2],
 [12, -4, 0, -10, -2],
 [-18, 6, 0, 15, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[9, 22, 4, -19, 21],
 [-10, -6, 8, 12, 9],
 [24, 26, 6, -8, -32],
 [-14, -36, -42, -36, -28],
 [14, -22, -12, 40, -55]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-29, -21, -36, -24, -51],
 [-40, -37, 43, -46, 18],
 [14, 11, -65, 29, -45],
 [22, -15, 1, 13, -9],
 [-14, 11, -8, -17, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[18, -23, -3, -11, 10],
 [48, -21, 21, -9, 9],
 [-26, 21, -19, 19, -24],
 [4, 11, 1, 12, -15],
 [10, -10, 40, -30, 45]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 4, -2, 4, -6],
 [8, -16, 8, -16, 24],
 [-10, 20, -10, 20, -30],
 [0, 0, 0, 0, 0],
 [10, -20, 10, -20, 30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, -1, 8, 0, -9],
 [-9, 8, -28, -9, 9],
 [-2, 1, 0, -2, -5],
 [-11, 6, -4, -11, -23],
 [-10, 6, -8, -10, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[8, -12, -4, 12, -24],
 [-10, 15, 5, -15, 30],
 [-10, 15, 5, -15, 30],
 [-12, 18, 6, -18, 36],
 [-2, 3, 1, -3, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-2, -4, 20, 4, -2],
 [9, 3, -5, -13, 4],
 [23, 4, 8, -32, 9],
 [10, -1, 19, -13, 3],
 [-5, -4, 16, 8, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[26, -39, 11, -24, 15],
 [30, 0, -15, 5, 40],
 [0, -45, 24, -33, -21],
 [2, 18, 7, 15, 3],
 [-16, -24, 0, -22, -23]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-11, 9, 12, -3, 11],
 [15, -33, 0, 3, -27],
 [-11, 9, 12, -3, 11],
 [22, -18, -24, 6, -22],
 [5, 27, -30, 3, 13]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[24, -33, 24, 12, -12],
 [-32, 18, -8, -24, -16],
 [36, -17, 6, 28, 22],
 [-30, -1, 9, -28, -37],
 [22, -14, 7, 16, 9]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[15, -3, 6, -15, -9],
 [-30, 6, -12, 30, 18],
 [20, -4, 8, -20, -12],
 [-20, 4, -8, 20, 12],
 [-5, 1, -2, 5, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[39, 15, -1, 1, 3],
 [-5, -9, -28, 15, -9],
 [57, 14, -22, -32, 68],
 [-56, -18, 0, 14, -26],
 [-4, -6, 14, 5, -21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[0, -3, -6, 2, 6],
 [0, 12, 24, -8, -24],
 [0, 0, 0, 0, 0],
 [0, -6, -12, 4, 12],
 [0, 3, 6, -2, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[31, 48, 36, -20, 3],
 [5, -23, 25, -43, -38],
 [27, 20, -13, 9, 35],
 [14, 42, 6, 14, 24],
 [43, -41, -28, 0, 28]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 30, 10, -25, -30],
 [2, -6, -2, 5, 6],
 [10, -30, -10, 25, 30],
 [2, -6, -2, 5, 6],
 [0, 0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[4, 4, 2, 1, 0],
 [-10, -34, 10, -25, -18],
 [14, 22, 2, 11, 6],
 [10, 34, -10, 25, 18],
 [-4, -4, -2, -1, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[21, -24, -7, -25, 42],
 [-24, -35, 9, 0, 30],
 [11, -32, -4, -24, 48],
 [-6, -4, 5, 11, -6],
 [17, -9, 2, 9, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-20, -10, -25, -30, -25],
 [12, 6, 15, 18, 15],
 [8, 4, 10, 12, 10],
 [-8, -4, -10, -12, -10],
 [16, 8, 20, 24, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-6, 28, -10, -12, 30],
 [-4, 5, -5, -4, 6],
 [36, -4, 40, 24, -12],
 [8, -10, 10, 8, -12],
 [-33, -10, -35, -18, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, -28, 4, -32, 4],
 [2, -11, -2, -13, -3],
 [-16, 31, -8, 35, -9],
 [-15, 35, -5, 40, -5],
 [-15, -3, -21, -6, -27]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, -18, 9, -18, -12],
 [-8, 0, 12, 6, 18],
 [-20, 28, 20, 15, 13],
 [16, -6, -31, 4, -4],
 [20, -24, -30, 0, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[38, -37, -46, -5, 11],
 [-7, 7, 8, 1, -1],
 [2, -6, 8, -2, -22],
 [2, -6, 8, -2, -22],
 [1, 4, -14, 2, 28]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-24, -25, 4, 22, 22],
 [8, 11, 26, -21, -46],
 [36, 30, -30, -21, -30],
 [30, 20, -50, -5, -5],
 [-6, -13, -8, 10, -17]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[11, -31, -4, -40, -22],
 [-15, 0, -14, 13, 17],
 [-54, 24, 3, 15, 36],
 [-18, 33, 3, 42, 27],
 [30, -45, -12, -45, -33]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[20, -30, 15, 25, 10],
 [-4, 6, -3, -5, -2],
 [24, -36, 18, 30, 12],
 [20, -30, 15, 25, 10],
 [20, -30, 15, 25, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, -8, 4, -13, -2],
 [-12, -16, 8, -23, -4],
 [12, 16, -8, 21, 4],
 [-12, -16, 8, -21, -4],
 [15, 20, -10, 24, 5]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-6, 48, -36, 48, -24],
 [-15, -20, 10, -32, 28],
 [16, 12, -4, 24, -24],
 [33, -19, 23, 2, -22],
 [7, 14, -8, 20, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-13, 11, -14, -4, 11],
 [-18, 18, -24, -24, 30],
 [27, -21, 26, -4, -13],
 [13, -8, 9, -16, 5],
 [-8, 4, -4, 16, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, 10, 42, -19, 64],
 [2, 4, -7, -2, 0],
 [-12, 6, 40, -1, 33],
 [38, -42, 37, -37, 15],
 [-14, -2, 21, 15, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[10, -28, -11, -28, 15],
 [25, 2, 34, 37, -50],
 [-30, 40, 20, 46, 4],
 [35, -32, -24, -47, -20],
 [-35, 35, -10, 6, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[30, 51, 39, -44, 45],
 [-3, -18, -20, 21, -5],
 [24, 4, 6, 24, 2],
 [0, -13, -7, 22, -15],
 [27, 21, 19, 1, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[8, -8, -16, -1, -18],
 [-16, 16, 16, 15, 30],
 [13, -13, -28, 0, -30],
 [11, -11, -4, -16, -18],
 [-15, 15, 36, -3, 36]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [16, 0, -16, 12, 0],
 [-16, 0, 16, -12, 0],
 [12, 0, -12, 9, 0],
 [16, 0, -16, 12, 0]]

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[User]
Calculate the rank of matrix A where A =
[[19, 31, 17, -14, -72],
 [53, -34, -46, -3, 5],
 [11, 16, 13, -13, -73],
 [74, 6, -29, 11, -13],
 [67, -5, -28, 19, -27]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-21, 31, 33, 18, -31],
 [24, -32, -30, -12, 26],
 [0, 8, 18, 20, -22],
 [-30, 34, 24, 0, -16],
 [18, -14, 0, 16, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [1, 5, 0, 3, -1],
 [3, 15, 0, 9, -3],
 [6, 30, 0, 18, -6],
 [-4, -20, 0, -12, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-24, -15, -3, 2, 5],
 [-11, -25, 24, -45, 18],
 [-26, -10, -12, 18, 0],
 [-33, -30, 9, -21, 15],
 [-12, -15, 9, -18, 9]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-24, 75, -48, 79, -30],
 [-12, -13, 6, -8, 17],
 [0, -34, 32, -4, -18],
 [-30, -6, 3, 41, -27],
 [-50, 39, -27, 108, -67]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-15, -2, -12, 7, 17],
 [-11, -4, 11, -9, -12],
 [-38, -12, -22, 34, 28],
 [-10, -2, -17, 18, 21],
 [-8, -8, 17, 2, -23]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[5, -30, 10, 10, -5],
 [-1, 6, -2, -2, 1],
 [4, -24, 8, 8, -4],
 [0, 0, 0, 0, 0],
 [-3, 18, -6, -6, 3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[4, -4, 5, -2, 2],
 [4, -4, 5, -2, 2],
 [20, -20, 25, -10, 10],
 [-24, 24, -30, 12, -12],
 [4, -4, 5, -2, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-22, -64, 72, -14, 32],
 [37, 2, 36, 11, 39],
 [66, 18, -9, 51, 34],
 [26, 29, -15, 5, 10],
 [-43, -35, 33, -30, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[4, 4, 0, -10, -12],
 [-4, -4, 0, 10, 12],
 [8, 8, 0, -20, -24],
 [-12, -12, 0, 30, 36],
 [-12, -12, 0, 30, 36]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[15, 36, 8, -6, 32],
 [-19, -24, -49, 2, -5],
 [-16, -40, -42, 0, -22],
 [-12, 24, 10, 12, 16],
 [52, -20, 7, -36, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-26, -22, -35, -19, 51],
 [66, 4, -25, 24, 19],
 [-12, 16, -35, -28, 32],
 [-30, -30, 20, 5, -5],
 [-24, -26, 26, 9, -14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, -4, -6, 0, 2],
 [16, 8, 12, 0, -4],
 [8, 4, 6, 0, -2],
 [24, 12, 18, 0, -6],
 [20, 10, 15, 0, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[52, -20, 52, 28, 7],
 [40, -27, 24, 41, -4],
 [14, -48, 22, 19, -12],
 [-14, 50, -22, -15, 9],
 [-56, 57, -38, -52, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-15, -12, -6, 0, 9],
 [-30, -24, -12, 0, 18],
 [15, 12, 6, 0, -9],
 [-30, -24, -12, 0, 18],
 [30, 24, 12, 0, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, -18, 0, -36, -30],
 [-6, 9, 0, 18, 15],
 [-8, 12, 0, 24, 20],
 [0, 0, 0, 0, 0],
 [12, -18, 0, -36, -30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[18, 4, -2, 0, -12],
 [-20, 22, 38, 28, -24],
 [12, 14, 14, 12, -24],
 [18, -13, -25, -18, 12],
 [-3, -12, -15, -12, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-4, 3, 9, 19, 0],
 [0, 2, 4, 8, -2],
 [8, -4, -14, -30, -2],
 [8, -4, -14, -30, -2],
 [-24, -1, 16, 38, 19]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[12, 6, -2, 30, 32],
 [9, 14, 4, 6, 7],
 [27, -26, -18, -7, -6],
 [11, -29, 24, 12, -16],
 [76, -4, -36, 4, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[2, 12, 10, 8, 8],
 [-4, -24, -20, -16, -16],
 [5, 30, 25, 20, 20],
 [3, 18, 15, 12, 12],
 [5, 30, 25, 20, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-15, 10, 4, 9, -22],
 [20, -18, -2, -14, -34],
 [15, -16, -10, -19, -40],
 [13, -1, 43, 33, 25],
 [13, 0, 32, 26, 58]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[0, -17, -31, -45, 42],
 [17, -17, -13, -26, 22],
 [-2, -12, -24, -34, 32],
 [39, -21, 3, -12, 6],
 [-18, -6, -30, -36, 36]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[30, -30, -30, -15, 10],
 [0, 0, 0, 0, 0],
 [12, -12, -12, -6, 4],
 [-12, 12, 12, 6, -4],
 [-36, 36, 36, 18, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, -12, -6, -2, -4],
 [0, 36, 18, 6, 12],
 [0, -6, -3, -1, -2],
 [0, -30, -15, -5, -10],
 [0, -30, -15, -5, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-5, -1, 3, -1, -1],
 [-20, -4, 12, -4, -4],
 [0, 0, 0, 0, 0],
 [-15, -3, 9, -3, -3],
 [5, 1, -3, 1, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-40, 24, -12, 28, 28],
 [30, -24, -18, -18, -48],
 [-8, 4, -6, 6, 2],
 [2, 0, 6, -2, 4],
 [-9, 8, 9, 5, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -36, 30, -12, -18],
 [25, 30, -25, 10, 15],
 [-30, -36, 30, -12, -18],
 [-10, -12, 10, -4, -6],
 [-5, -6, 5, -2, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[32, 30, 5, -75, -46],
 [20, 2, -34, 4, -2],
 [6, 38, -9, -96, -27],
 [-18, 10, 9, -4, -23],
 [8, 8, 44, -34, -24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-7, -14, 26, -15, -30],
 [0, 14, 16, -20, 2],
 [-13, 0, 26, -7, 8],
 [-20, -8, 44, -14, -4],
 [4, -10, -28, 26, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, -11, 14, 15, -1],
 [-15, -23, 14, 9, -3],
 [65, 5, -18, 9, -9],
 [-44, 4, -24, -36, 0],
 [35, -24, 32, 42, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[21, -27, -51, -18, -44],
 [35, 35, -5, -15, -5],
 [31, -11, -49, -30, -38],
 [29, 8, -23, -9, -24],
 [-3, -23, -27, -28, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[26, 1, 22, 3, -21],
 [-8, 2, -16, 6, -2],
 [-32, -4, -16, -12, 36],
 [-2, 2, -10, 6, -6],
 [4, -1, 8, -3, 1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-17, -19, 8, -6, -5],
 [-10, 22, -20, -38, 38],
 [-8, -24, 12, 13, -22],
 [25, 23, 8, 13, 7],
 [-24, -15, -27, -19, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[6, -12, -18, -30, -24],
 [5, -10, -15, -25, -20],
 [-4, 8, 12, 20, 16],
 [-4, 8, 12, 20, 16],
 [3, -6, -9, -15, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[30, 18, -18, -12, 0],
 [-30, -18, 18, 12, 0],
 [10, 6, -6, -4, 0],
 [-5, -3, 3, 2, 0],
 [10, 6, -6, -4, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, -21, -21, 36, 39],
 [18, 10, -10, -42, -20],
 [-13, 13, 31, -27, -28],
 [-1, 16, 22, -29, -31],
 [36, 7, -34, -37, -11]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, 4, 2, 3, 1],
 [6, -12, -6, -9, -3],
 [12, -24, -12, -18, -6],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-6, -11, 24, -22, -6],
 [-36, -42, 48, -36, 12],
 [36, 39, -36, 24, -18],
 [-12, -17, 28, -24, -2],
 [0, -4, 16, -16, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, 11, -5, -10, 15],
 [5, 29, 1, 7, 20],
 [14, 5, 13, 16, 5],
 [7, -15, -3, -55, 50],
 [1, 15, 3, 23, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[16, 16, 24, 20, 0],
 [20, 20, 30, 25, 0],
 [12, 12, 18, 15, 0],
 [-8, -8, -12, -10, 0],
 [4, 4, 6, 5, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[20, 20, -25, 20, -30],
 [16, 16, -20, 16, -24],
 [4, 4, -5, 4, -6],
 [-16, -16, 20, -16, 24],
 [0, 0, 0, 0, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-9, -30, 54, -6, 38],
 [-16, -72, 32, 58, 33],
 [-6, 30, -24, 16, 15],
 [16, 36, -68, 8, -30],
 [-9, -30, 42, -6, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-10, 15, 1, -10, -24],
 [-1, 50, 6, -13, -18],
 [1, 45, -15, 13, -30],
 [48, 10, 78, -64, 24],
 [-19, 25, -21, 9, -42]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, 12, 14, 0, 8],
 [-4, -6, -10, 0, -10],
 [-3, 0, -9, 0, -18],
 [11, 18, 27, 0, 24],
 [17, 33, 40, 0, 25]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-48, -42, 30, 24, -36],
 [16, 24, -12, 8, 8],
 [4, -19, 2, -38, 12],
 [16, 24, -12, 8, 8],
 [-20, 0, 9, 38, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-20, 14, 22, -28, -14],
 [-18, 30, 8, 0, 30],
 [-7, -6, -1, -18, -9],
 [-13, 12, 23, 34, 10],
 [-10, 16, -12, -22, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-19, -36, -22, -15, 11],
 [22, 54, 34, 24, -8],
 [-4, 2, 2, 2, 6],
 [8, 35, 23, 17, 3],
 [-14, -6, -2, 0, 16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-21, -10, -24, -2, 29],
 [-18, 37, 3, -19, -5],
 [-19, 2, -16, -6, 19],
 [-22, 42, 2, -22, -4],
 [-14, 32, 4, -16, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[1, 0, 0, 4, 2],
 [-5, 0, 0, -20, -10],
 [-5, 0, 0, -20, -10],
 [1, 0, 0, 4, 2],
 [1, 0, 0, 4, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[4, -20, -20, -4, 16],
 [3, -15, -15, -3, 12],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [2, -10, -10, -2, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-9, -9, 3, -8, -2],
 [5, -9, 18, -3, 12],
 [45, -22, 0, 0, -15],
 [-2, 21, -8, 33, -29],
 [4, 0, -23, -37, 36]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-22, 6, 12, 12, 14],
 [24, 4, -28, 4, 0],
 [25, 22, -45, 11, 1],
 [18, 18, -34, 8, 0],
 [-30, 1, 40, -27, -27]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[26, 7, -5, -20, 2],
 [-48, 4, 0, 30, 14],
 [-36, -5, 13, 31, -4],
 [32, 42, -14, -32, 30],
 [-28, 31, -7, 11, 32]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[7, 21, 5, -26, 0],
 [-4, -52, -17, 42, 5],
 [0, 28, -2, -12, -28],
 [-14, -22, 8, 32, 20],
 [9, 51, -5, -38, -44]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-21, 12, 27, 15, 33],
 [-18, 6, 42, 24, 48],
 [13, -6, -23, -13, -27],
 [-14, 13, -4, -3, -1],
 [1, 3, -17, -10, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, -24, 24, -6, -36],
 [2, 8, -8, 2, 12],
 [0, 0, 0, 0, 0],
 [-2, -8, 8, -2, -12],
 [2, 8, -8, 2, 12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[61, 19, -47, -28, -28],
 [-29, -40, 15, 5, 25],
 [24, -36, -55, -9, -8],
 [31, 58, 1, -31, -61],
 [-48, -41, 26, 25, 41]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[38, 9, -42, 13, -36],
 [-29, 5, 44, -8, 16],
 [29, -7, -22, 31, -18],
 [18, -19, 8, 14, -6],
 [-48, 35, 68, -63, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, 24, -16, -36, -15],
 [-2, -21, 14, 6, 11],
 [10, 39, -26, -30, -22],
 [8, -18, 12, -24, 7],
 [0, -6, 4, 0, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[9, 2, -2, 17, 4],
 [15, 6, 6, 15, 12],
 [12, 4, 2, 16, 8],
 [3, 6, 18, -21, 12],
 [-14, -12, -28, 18, -24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[18, -27, 0, -9, -21],
 [8, 1, 16, -2, -1],
 [-17, 5, -1, -10, 39],
 [-8, -10, -34, 5, -14],
 [20, -32, -14, -3, -40]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -29, 15, -12, 1],
 [-31, -22, 31, -25, 9],
 [35, -7, -29, 2, 0],
 [22, 22, 5, 1, 0],
 [3, -11, 16, -11, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-7, 3, -9, 6, -1],
 [29, -22, 71, -37, -18],
 [-31, 3, -20, 19, -2],
 [14, 50, -38, -17, 10],
 [10, 51, -47, -14, 24]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-36, 6, 3, 36, -18],
 [-5, 17, 2, -1, 4],
 [-5, -17, 42, -37, 19],
 [36, -28, 34, -36, 35],
 [-5, 1, 51, -37, 31]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [3, 2, 3, 1, -5],
 [-6, -4, -6, -2, 10],
 [3, 2, 3, 1, -5]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, 0, 13, -14, -12],
 [-13, -6, -11, 23, 5],
 [-5, 9, 1, 0, -12],
 [-16, 48, 2, -8, -28],
 [-29, 24, -22, 31, 43]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[44, -14, -18, 10, 34],
 [22, 4, 24, 7, -52],
 [-9, 26, -43, -60, 6],
 [-7, 19, -32, -59, -1],
 [24, -17, -19, -6, 43]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[5, -78, -61, 18, -23],
 [40, -27, 8, 29, 6],
 [45, -54, -15, 18, 0],
 [-5, 39, 33, 19, -8],
 [10, 18, 8, -34, -36]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[7, -9, 4, -8, -6],
 [-9, 31, -28, 0, 34],
 [-10, 8, 0, 14, 2],
 [24, -9, -12, -39, 9],
 [6, -15, 12, -3, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 54, -20, -4, 38],
 [0, -5, 35, 3, -3],
 [0, 15, 11, 3, 9],
 [0, 17, -21, 28, -8],
 [0, 31, -36, -56, 55]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 10, -30, -21, -32],
 [-28, 2, 58, 29, 16],
 [13, -36, -30, 2, 23],
 [-15, -60, 2, -2, 15],
 [-4, 32, -8, -14, -32]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[24, -18, 6, 18, 0],
 [-16, 6, -14, -2, 12],
 [-10, 15, 10, -20, -15],
 [-12, 18, 12, -24, -18],
 [34, -15, 26, 8, -21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[48, 29, 4, 30, 14],
 [-10, 8, -29, -29, 1],
 [12, 17, -26, 6, 26],
 [25, 11, 21, -1, -12],
 [15, 19, -10, -25, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-1, -4, 4, -1, 3],
 [-5, -20, 20, -5, 15],
 [1, 4, -4, 1, -3],
 [6, 24, -24, 6, -18],
 [5, 20, -20, 5, -15]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -13, 11, -30, -23],
 [13, 9, 24, 11, 13],
 [4, 12, 27, -7, 0],
 [19, -1, 2, 35, 27],
 [-15, 33, 15, -12, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-13, -13, 15, 5, -5],
 [-37, 8, -12, -4, 20],
 [-5, -15, 13, 15, -15],
 [7, 17, -7, -31, 25],
 [7, -38, 48, 13, -30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-6, -36, 6, 30, 6],
 [3, 18, -3, -15, -3],
 [4, 24, -4, -20, -4],
 [-4, -24, 4, 20, 4],
 [-6, -36, 6, 30, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[10, 24, 50, 26, -43],
 [-10, -2, -20, 2, 25],
 [30, -2, 20, -22, -35],
 [-10, 30, 40, 46, -20],
 [10, 0, -10, -10, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-6, 1, 6, 5, -6],
 [6, -1, -6, -5, 6],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [24, -4, -24, -20, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-54, 4, -39, 14, -3],
 [42, 12, 35, -15, 8],
 [-36, 36, 38, -38, 39],
 [18, 16, 73, -50, 36],
 [54, 12, 15, -10, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, -2, -4, 3, 4],
 [-4, -4, -8, 6, 8],
 [2, 2, 4, -3, -4],
 [6, 6, 12, -9, -12],
 [-10, -10, -20, 15, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-32, -33, -22, -47, 47],
 [8, 25, 16, 10, -26],
 [-7, -29, 0, -4, 19],
 [-17, -26, -10, -15, 32],
 [25, 13, 40, 26, -51]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[19, -8, 10, 29, 5],
 [21, 6, -6, 31, 7],
 [3, 36, -24, -22, 11],
 [26, -1, 8, 31, 10],
 [-19, -17, 20, -29, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-35, -2, -18, -13, -16],
 [-1, 47, 36, -47, 7],
 [-17, 0, 14, -7, -18],
 [48, -18, 31, 14, 23],
 [11, 33, 39, -39, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, -5, 1, 21, 25],
 [-84, 28, 43, 46, -22],
 [-40, 7, 26, 27, -2],
 [12, 2, 70, -18, 7],
 [-10, -4, 67, 26, 32]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-10, 0, 10, 2, 10],
 [30, 0, -30, -6, -30],
 [-30, 0, 30, 6, 30],
 [15, 0, -15, -3, -15],
 [-15, 0, 15, 3, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, -5, 0, 5, 6],
 [-6, 10, 0, -10, -12],
 [12, -20, 0, 20, 24],
 [12, -20, 0, 20, 24],
 [6, -10, 0, 10, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[10, 5, 15, 0, 20],
 [2, 1, 3, 0, 4],
 [8, 4, 12, 0, 16],
 [6, 3, 9, 0, 12],
 [-12, -6, -18, 0, -24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, -3, -3, 18, -3],
 [2, 1, 1, -6, 1],
 [-8, -4, -4, 24, -4],
 [8, 4, 4, -24, 4],
 [-8, -4, -4, 24, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[26, -21, -11, 13, -10],
 [8, 19, -37, -3, 22],
 [-19, 11, 3, -14, 11],
 [2, 5, 9, 9, -8],
 [17, -16, -12, 5, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-30, -6, 26, 11, -29],
 [45, -55, 35, 15, -13],
 [54, -70, 26, 51, 3],
 [33, 4, -27, -4, 40],
 [42, -41, 19, 1, -21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, 3, -2, -5, -1],
 [-24, 12, -8, -20, -4],
 [30, -15, 10, 25, 5],
 [6, -3, 2, 5, 1],
 [-6, 3, -2, -5, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-50, 26, -24, 36, -14],
 [9, -21, -12, -33, -24],
 [33, -13, 20, -17, 16],
 [-7, -5, -12, -9, -16],
 [-18, -6, -24, -12, -30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, -18, 17, -18, 3],
 [42, 4, -40, -29, -12],
 [-26, 5, 24, 26, 9],
 [-17, 26, 30, 44, 6],
 [19, -7, -31, -28, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[23, 21, 18, 4, -12],
 [-37, -21, -41, -3, 11],
 [-30, -52, -28, -46, -2],
 [-30, -45, -25, -30, 10],
 [-34, -69, -15, -52, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 2, 0, -5, 0],
 [8, -8, 0, 20, 0],
 [-4, 4, 0, -10, 0],
 [0, 0, 0, 0, 0],
 [-10, 10, 0, -25, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -10, 37, 18, -27],
 [13, -20, -14, 7, 42],
 [-12, 22, 4, -12, -38],
 [14, 24, -30, -34, -2],
 [-3, 18, 20, -9, -38]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, -20, -12, 19, -1],
 [-10, 20, 18, -16, -6],
 [14, 24, 6, -27, 11],
 [18, -12, -18, 6, 12],
 [-16, -16, 0, 20, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-20, -12, 12, 8, -8],
 [15, 9, -9, -6, 6],
 [-10, -6, 6, 4, -4],
 [-25, -15, 15, 10, -10],
 [-5, -3, 3, 2, -2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, 15, -9, 12, -3],
 [2, 10, -6, 8, -2],
 [6, 30, -18, 24, -6],
 [0, 0, 0, 0, 0],
 [-3, -15, 9, -12, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[44, 7, 53, 23, 18],
 [-20, -15, -11, -45, 0],
 [9, 10, 0, 32, 0],
 [4, 3, -11, 31, 22],
 [-9, -23, 6, -56, 23]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-1, -6, -2, 1, -3],
 [-2, -12, -4, 2, -6],
 [-3, -18, -6, 3, -9],
 [6, 36, 12, -6, 18],
 [-4, -24, -8, 4, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[38, 0, -21, 17, -15],
 [-33, 2, 18, -4, 7],
 [18, -4, -6, -22, 10],
 [-28, 8, 18, 22, -8],
 [8, -12, -25, -7, 1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-15, 12, -34, 2, -9],
 [10, 6, 8, -4, 8],
 [-15, 12, -34, 2, -9],
 [6, 12, -4, -4, 6],
 [-10, -27, 14, 8, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-72, 18, 12, 0, -48],
 [-18, 5, -1, -3, -13],
 [-6, 5, -27, -21, -11],
 [54, -13, -13, -3, 35],
 [-30, 11, -23, -21, -27]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-13, -66, -26, 13, -39],
 [31, -53, 20, -25, -27],
 [-39, 6, -42, 26, -8],
 [-32, 26, -40, 4, -14],
 [-33, 45, -12, 35, 19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-19, -7, 1, -15, 8],
 [0, 13, -28, -3, -25],
 [37, -17, 11, 21, -10],
 [3, 13, 38, 18, 40],
 [-21, -3, 21, -9, 30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, -7, 17, -4, 48],
 [-66, -12, -26, 12, 0],
 [-37, -26, -69, -23, -45],
 [-38, -7, -1, 8, 24],
 [53, 7, 10, -14, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, 17, -6, 13, -3],
 [-25, 43, 2, -12, 51],
 [14, -12, -7, 36, -54],
 [-9, 14, 18, 3, 51],
 [6, 32, 8, 34, -24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-39, 9, -31, -4, -42],
 [-24, -30, -34, -37, -78],
 [2, 25, 17, 16, 36],
 [-29, 40, 10, 6, 9],
 [-27, 24, 6, -3, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-3, -5, 10, 13, -12],
 [0, 30, -24, -6, 18],
 [2, -10, 4, -6, 0],
 [-4, -5, 12, 17, -15],
 [-3, 5, 2, 11, -6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[2, 28, -5, -14, 19],
 [-6, -18, -33, 24, 39],
 [-18, -13, -1, 9, 35],
 [4, -20, -22, 20, 2],
 [22, 6, -17, 2, -29]]

Present the answer in LaTex format: \boxed{Your answer}