[User]
Calculate the rank of matrix A where A =
[[4, 2, 74, 48, -23],
 [-3, 34, -30, -31, 18],
 [49, -25, 29, 12, 4],
 [-1, 22, -24, 12, 7],
 [-37, 14, -16, -32, -1]]

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


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

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


[User]
Find the rank of the matrix:
[[24, 25, -30, -13, -4],
 [24, -18, 63, -36, 9],
 [70, -6, 6, -52, -30],
 [76, 5, 0, -57, -26],
 [-18, 14, 21, 2, 31]]

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


[User]
Find the rank of the matrix:
[[1, 6, 43, -23, 38],
 [-60, -30, 18, 20, 0],
 [20, 0, 2, -4, 8],
 [-29, 6, -23, 11, -30],
 [-16, 54, -34, -16, -40]]

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


[User]
Find the rank of the matrix:
[[-13, 0, -21, -18, -11],
 [24, 60, 18, 24, -12],
 [-6, -28, 0, -4, 10],
 [1, -4, 3, 2, 3],
 [-16, -40, -12, -16, 8]]

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


[User]
Determine the rank of the following matrix:
[[-3, -18, -6, -3, 15],
 [-6, -36, -12, -6, 30],
 [4, 24, 8, 4, -20],
 [0, 0, 0, 0, 0],
 [-4, -24, -8, -4, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[30, 20, -18, 30, -24],
 [-15, -15, 7, -20, 21],
 [45, 30, -27, 45, -36],
 [-18, -14, 10, -20, 18],
 [-48, -39, 26, -55, 51]]

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


[User]
Determine the rank of the following matrix:
[[34, -35, 33, -15, 6],
 [19, -19, 11, 24, 32],
 [-4, 13, -29, -20, -23],
 [-37, 33, 25, 6, -10],
 [-11, 16, -67, 13, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 10, -59, 14, -19],
 [21, -4, 39, -22, -21],
 [-10, -36, 61, 39, -45],
 [-39, -14, 4, 17, -10],
 [-8, -6, 0, 10, -19]]

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


[User]
Find the rank of the matrix:
[[-6, 6, -1, 50, -45],
 [33, 6, 40, -19, -31],
 [-15, 15, -5, 3, -19],
 [15, 8, 21, -27, -10],
 [18, -15, 9, -48, 48]]

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


[User]
What is the rank of the matrix:
[[-35, 6, 16, -6, -33],
 [-15, -6, 8, -6, -25],
 [14, 48, 42, 34, -28],
 [12, 15, -12, 8, 41],
 [13, -51, -27, -23, 3]]?

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


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

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


[User]
What is the rank of the matrix:
[[0, -48, -36, 0, 42],
 [-2, -39, -17, 38, 3],
 [-7, -23, -10, 19, 5],
 [13, 32, 25, 11, -38],
 [22, -42, -20, 50, -6]]?

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


[User]
Determine the rank of the following matrix:
[[3, -18, -9, -15, 15],
 [6, -36, -18, -30, 30],
 [1, -6, -3, -5, 5],
 [1, -6, -3, -5, 5],
 [1, -6, -3, -5, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, 18, 3, -12, 6],
 [-4, -14, 6, -20, 11],
 [18, 23, -17, 24, -21],
 [-21, 9, 24, 36, -1],
 [-32, 1, -15, -8, 15]]

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


[User]
What is the rank of the matrix:
[[-9, -8, 27, -33, -31],
 [15, 18, -46, 7, 70],
 [-23, 27, -28, -18, 26],
 [8, 4, -10, -29, 29],
 [6, 10, -29, 6, 37]]?

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


[User]
Calculate the rank of matrix A where A =
[[26, -30, -44, -44, 12],
 [0, -10, -8, -28, 22],
 [9, 1, -2, 10, -14],
 [-39, 30, 44, 18, 20],
 [60, 2, -8, -20, -10]]

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


[User]
Find the rank of the matrix:
[[-24, -39, -3, 30, -9],
 [-16, -17, -17, -10, 21],
 [-10, -8, -15, -15, 21],
 [14, 13, 18, 15, -24],
 [24, 39, 3, -30, 9]]

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


[User]
Determine the rank of the following matrix:
[[-10, -2, -26, -10, 6],
 [23, -1, 13, 25, -35],
 [-22, 6, 29, 15, -10],
 [38, -8, -46, -18, 4],
 [12, -16, 13, -13, 48]]

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


[User]
Determine the rank of the following matrix:
[[-5, -30, 5, -5, 20],
 [3, 3, 1, -1, -2],
 [13, 18, 3, -3, -12],
 [-13, -3, -7, 7, 2],
 [-13, -3, -7, 7, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -10, -52, 35, -14],
 [14, -35, -16, -4, -4],
 [-30, 39, 16, -59, 5],
 [0, -35, 56, -25, 41],
 [4, -16, -24, -33, -13]]

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


[User]
Determine the rank of the following matrix:
[[-9, 13, 14, 16, -18],
 [-5, 15, 28, 26, -10],
 [13, -1, 26, 16, 26],
 [-19, 13, -8, 2, -38],
 [-19, 23, 18, 24, -38]]

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


[User]
What is the rank of the matrix:
[[36, 51, 3, -24, -42],
 [-2, 90, -22, 16, -22],
 [-16, 5, -11, 8, 14],
 [8, 71, -17, -4, -22],
 [32, -11, 25, -10, -30]]?

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


[User]
Calculate the rank of matrix A where A =
[[16, 4, -40, -11, -48],
 [-11, -47, -1, -11, -3],
 [-12, 2, 14, 0, 15],
 [24, -23, -32, 12, -24],
 [9, 41, -25, 16, -17]]

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


[User]
Find the rank of the matrix:
[[-23, -2, 3, -10, 8],
 [17, 8, -7, 15, -12],
 [-4, -16, 12, -20, 16],
 [-18, -12, 10, -20, 16],
 [-20, 10, -6, 5, -4]]

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


[User]
What is the rank of the matrix:
[[9, -15, -3, -9, 9],
 [0, 0, 0, 0, 0],
 [-9, 15, 3, 9, -9],
 [-3, 5, 1, 3, -3],
 [-3, 5, 1, 3, -3]]?

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],
 [16, 4, 4, 12, -20],
 [12, 3, 3, 9, -15],
 [4, 1, 1, 3, -5]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -9, -4, -2, -17],
 [18, 18, 12, -30, 6],
 [-17, -19, -12, 26, -11],
 [-7, -11, -6, 7, -13],
 [21, 27, 16, -28, 23]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 12, -9, 18, -12],
 [-4, 4, -3, 6, -4],
 [-8, 8, -6, 12, -8],
 [-20, 20, -15, 30, -20],
 [20, -20, 15, -30, 20]]

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


[User]
Find the rank of the matrix:
[[-36, 29, -29, 4, -23],
 [6, -13, 13, -10, 12],
 [-12, 33, -33, 28, -31],
 [-6, 20, -20, 18, -19],
 [-6, -36, 36, -46, 37]]

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


[User]
Determine the rank of the following matrix:
[[4, -4, -8, 16, -20],
 [-5, -2, 5, -13, 16],
 [-9, 2, 13, -29, 36],
 [-1, -6, -3, 3, -4],
 [-19, -30, 3, -27, 32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[39, 0, 23, 20, -36],
 [-4, 6, -4, -5, 2],
 [-7, -12, -1, 4, 8],
 [-5, -6, -1, -3, 10],
 [-2, -14, 4, -9, 22]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 2, -2, -12, -10],
 [30, 5, -5, -30, -25],
 [18, 3, -3, -18, -15],
 [24, 4, -4, -24, -20],
 [36, 6, -6, -36, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 16, 24, -24, -24],
 [-20, 16, 24, -24, -24],
 [10, -8, -12, 12, 12],
 [-25, 20, 30, -30, -30],
 [-15, 12, 18, -18, -18]]

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


[User]
Determine the rank of the following matrix:
[[-1, 20, 18, 0, -9],
 [6, 12, 2, -11, -23],
 [0, 12, 10, -1, -7],
 [9, -24, -32, -13, -10],
 [3, 0, -4, -5, -8]]

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


[User]
Find the rank of the matrix:
[[4, -1, 2, -3, 0],
 [12, -3, 6, -9, 0],
 [-16, 4, -8, 12, 0],
 [-16, 4, -8, 12, 0],
 [-12, 3, -6, 9, 0]]

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


[User]
What is the rank of the matrix:
[[-4, -12, -20, 0, 16],
 [-3, -9, -15, 0, 12],
 [-3, -9, -15, 0, 12],
 [-5, -15, -25, 0, 20],
 [-6, -18, -30, 0, 24]]?

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


[User]
Find the rank of the matrix:
[[-30, -20, 0, 5, -10],
 [10, 40, 0, 19, 18],
 [-41, -19, 0, 12, -10],
 [-16, -44, 0, -18, -20],
 [-8, 28, 0, 22, 12]]

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


[User]
Find the rank of the matrix:
[[-30, 24, -54, -18, -12],
 [-8, -20, -76, 48, 10],
 [-15, -20, 5, 23, 10],
 [6, -6, 48, -6, 3],
 [5, 30, -5, -37, -15]]

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


[User]
Determine the rank of the following matrix:
[[-26, 19, 8, 16, -2],
 [20, 8, 10, -1, 8],
 [-36, -20, -22, -1, -16],
 [22, 13, 14, 1, 10],
 [24, 4, 8, -4, 8]]

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


[User]
Determine the rank of the following matrix:
[[2, 1, 1, -5, -4],
 [2, 1, 1, -5, -4],
 [-4, -2, -2, 10, 8],
 [-2, -1, -1, 5, 4],
 [2, 1, 1, -5, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 12, -15, -5, 10],
 [-4, 0, -18, -17, -11],
 [-8, 12, -45, -43, -2],
 [-18, -4, -12, -25, -19],
 [27, 28, -36, -2, 0]]

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


[User]
What is the rank of the matrix:
[[-34, -18, -46, 52, -42],
 [-2, 10, -21, 35, -7],
 [22, -19, 14, -34, 23],
 [-22, -18, -13, 7, -23],
 [-9, 4, -4, 9, -9]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, -6, 35, -23, 37],
 [-40, -5, -9, 16, -45],
 [-2, 1, 45, -22, 1],
 [-19, 11, -31, 34, -20],
 [12, -10, 5, -1, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, -1, 31, 35, 29],
 [-4, 19, -3, 11, 2],
 [-17, -19, -21, -39, -25],
 [6, -48, -12, -24, 6],
 [-12, -19, -11, -35, -24]]

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


[User]
Find the rank of the matrix:
[[27, 14, 20, -35, -1],
 [18, -10, -4, 7, 8],
 [6, -21, -17, 30, 10],
 [9, -6, -6, 6, 15],
 [-9, -11, -17, 23, 19]]

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


[User]
What is the rank of the matrix:
[[-36, -36, 0, 42, 3],
 [-6, -6, 2, 9, 0],
 [12, 12, -4, -18, 0],
 [-12, -12, 20, 34, -4],
 [-6, -6, -2, 5, 1]]?

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


[User]
Determine the rank of the following matrix:
[[10, -23, 16, 12, -10],
 [15, -35, 15, -2, -12],
 [25, 9, -8, 55, 8],
 [-17, 19, 7, 15, -19],
 [14, -22, -1, -13, -8]]

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


[User]
What is the rank of the matrix:
[[36, -6, -6, -36, -12],
 [-18, 3, 3, 18, 6],
 [6, -1, -1, -6, -2],
 [12, -2, -2, -12, -4],
 [36, -6, -6, -36, -12]]?

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


[User]
What is the rank of the matrix:
[[0, 36, -24, -18, 30],
 [-6, -36, 24, 45, -9],
 [-5, 9, -6, 18, 25],
 [4, 6, -4, -21, -9],
 [-6, -36, 24, 45, -9]]?

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


[User]
What is the rank of the matrix:
[[14, 36, 11, -4, -2],
 [12, 0, 3, 12, -12],
 [-14, -36, -11, 4, 2],
 [15, -18, 0, 24, -21],
 [42, 36, 18, 24, -30]]?

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


[User]
Find the rank of the matrix:
[[0, 0, 3, 6, -12],
 [0, 0, 6, 12, -24],
 [0, 0, 6, 12, -24],
 [0, 0, -4, -8, 16],
 [0, 0, 5, 10, -20]]

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


[User]
What is the rank of the matrix:
[[-4, 4, 8, 2, -8],
 [-2, 2, 4, 1, -4],
 [-4, 4, 8, 2, -8],
 [-8, 8, 16, 4, -16],
 [0, 0, 0, 0, 0]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, -17, -7, -37, 35],
 [-4, 12, 20, 20, -44],
 [29, 7, -25, 17, 21],
 [70, 26, -53, 49, 27],
 [34, 27, -21, 24, -16]]

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


[User]
Determine the rank of the following matrix:
[[-31, -78, -47, 22, 81],
 [-4, -28, -14, 12, 28],
 [-8, 63, 26, -22, -60],
 [-11, -15, -9, 24, 17],
 [-25, 43, 13, 8, -37]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 0, -2, 5, 14],
 [3, 4, 14, -17, -58],
 [34, 11, -4, -35, -33],
 [-10, -7, -15, 6, 35],
 [-28, -13, -13, 16, 37]]

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


[User]
Calculate the rank of matrix A where A =
[[36, 30, 24, -18, -6],
 [-30, -25, -20, 15, 5],
 [36, 30, 24, -18, -6],
 [-12, -10, -8, 6, 2],
 [18, 15, 12, -9, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[28, 30, 24, 14, 12],
 [-58, 3, 16, -3, -22],
 [-4, 3, 16, 15, 8],
 [-8, 15, 20, 9, 0],
 [-12, 36, 12, -18, -24]]

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


[User]
What is the rank of the matrix:
[[51, -18, -39, 51, -36],
 [18, 21, 23, 15, 24],
 [-27, -39, 6, -10, -29],
 [13, -36, -27, 1, 15],
 [-7, 0, -26, -26, 27]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, 0, -26, 8, 2],
 [16, -6, -2, 2, 8],
 [19, -20, -30, 20, -6],
 [-42, -22, -20, 27, -58],
 [-49, -30, -40, 40, -74]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 24, 18, 24, 6],
 [-12, -4, -21, -24, -15],
 [-3, -14, -15, -19, -7],
 [-18, 24, -9, -6, -15],
 [-6, 12, 0, 2, -4]]

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


[User]
Find the rank of the matrix:
[[-7, 8, -17, -3, 13],
 [18, -21, 0, -15, -30],
 [-37, -18, -14, -11, 1],
 [35, -9, 10, -6, -27],
 [-16, 14, 22, 22, 20]]

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


[User]
What is the rank of the matrix:
[[6, 31, 45, -28, 50],
 [-46, -24, -34, 22, -18],
 [14, -47, -17, 62, -43],
 [2, 26, 55, 7, 49],
 [-60, 0, 30, 16, 53]]?

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


[User]
Determine the rank of the following matrix:
[[12, -16, -16, 20, 0],
 [-9, 12, 12, -15, 0],
 [15, -20, -20, 25, 0],
 [15, -20, -20, 25, 0],
 [-12, 16, 16, -20, 0]]

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


[User]
What is the rank of the matrix:
[[15, 21, -10, -15, 8],
 [-36, -18, 30, 0, -6],
 [31, 20, -25, -5, 7],
 [-14, -16, 10, 10, -6],
 [-20, 8, 20, -20, 4]]?

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


[User]
Determine the rank of the following matrix:
[[19, 21, -15, -25, -16],
 [3, 18, -34, 8, -14],
 [29, 27, -28, -21, -7],
 [9, 30, -54, 13, -12],
 [49, 22, 5, -63, -9]]

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


[User]
Determine the rank of the following matrix:
[[-8, -14, 21, 33, -10],
 [-4, -21, 28, 41, -19],
 [20, -3, -5, -16, -13],
 [24, -6, -3, -15, -18],
 [40, -6, -10, -32, -26]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-20, 86, -36, 6, -14],
 [39, 35, -14, 16, -10],
 [-8, -6, -48, 70, 14],
 [47, 34, -20, -22, 8],
 [13, -8, -1, -57, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -10, 17, 6, -22],
 [5, 5, -4, 0, 16],
 [23, -9, 18, 12, -22],
 [11, 7, 0, 44, -15],
 [9, -15, 19, -2, -33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -3, -12, 3, 15],
 [-1, 3, -18, 22, -5],
 [-16, -8, -8, -12, 32],
 [-16, -8, -8, -12, 32],
 [-12, 0, -36, 30, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -34, -18, -34, -13],
 [-28, 28, 10, -18, -4],
 [-26, 50, 18, -6, 3],
 [17, 49, -3, 27, 30],
 [-29, 32, 9, -9, 11]]

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


[User]
Determine the rank of the following matrix:
[[6, -2, -8, 12, 4],
 [-9, 3, 12, -18, -6],
 [0, 0, 0, 0, 0],
 [18, -6, -24, 36, 12],
 [18, -6, -24, 36, 12]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, -60, 20, -36, -24],
 [-64, -13, 70, 17, 4],
 [-8, -23, 2, -14, -12],
 [-12, -27, 14, 3, -28],
 [-16, -31, 26, 20, -44]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, -24, -24, -16, 4],
 [0, 0, 0, 0, 0],
 [20, 24, 24, 16, -4],
 [5, 6, 6, 4, -1],
 [15, 18, 18, 12, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -4, 8, 10, -6],
 [0, 0, 0, 0, 0],
 [-18, -6, 12, 15, -9],
 [30, 10, -20, -25, 15],
 [30, 10, -20, -25, 15]]

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


[User]
Find the rank of the matrix:
[[-32, -14, 5, 62, -31],
 [-42, 28, 20, 10, 60],
 [-12, -14, 12, -16, -30],
 [-61, 0, 30, 29, 8],
 [23, -46, 0, -21, -64]]

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


[User]
Find the rank of the matrix:
[[22, -17, 13, 7, 12],
 [-2, -13, 37, 3, 28],
 [12, -10, 9, 4, 8],
 [-22, 9, 8, -5, 4],
 [22, 7, -50, 1, -36]]

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


[User]
Determine the rank of the following matrix:
[[4, 24, 4, -12, -16],
 [-4, -24, -4, 12, 16],
 [-3, -18, -3, 9, 12],
 [1, 6, 1, -3, -4],
 [1, 6, 1, -3, -4]]

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


[User]
What is the rank of the matrix:
[[-36, -16, -24, -25, -7],
 [23, 18, 9, 0, 9],
 [42, 30, 8, -20, 10],
 [32, 0, 24, 30, -6],
 [19, 17, 20, 30, 15]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [0, 24, 36, -30, 12],
 [0, 24, 36, -30, 12],
 [0, -16, -24, 20, -8],
 [0, 4, 6, -5, 2]]

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


[User]
Find the rank of the matrix:
[[15, 32, 53, 32, 37],
 [27, 12, -6, -21, 30],
 [6, -19, -40, -30, -10],
 [-60, -86, -2, -4, -66],
 [9, 19, -37, -63, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -15, -3, 15, 9],
 [10, -6, 6, -12, 18],
 [1, -6, 0, 3, 6],
 [8, -30, 2, 10, 34],
 [10, -15, 5, -5, 25]]

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


[User]
What is the rank of the matrix:
[[-22, 17, -1, 24, 1],
 [9, -6, 0, -8, 3],
 [8, -10, 6, -4, 10],
 [16, 1, -11, -10, 11],
 [29, -31, 15, -18, 28]]?

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [0, 0, -2, 4, -6],
 [0, 0, 12, -24, 36],
 [0, 0, 0, 0, 0],
 [0, 0, 2, -4, 6]]

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


[User]
What is the rank of the matrix:
[[7, 19, 0, -17, -33],
 [-33, 4, 15, 63, 2],
 [-41, 4, 41, 90, -12],
 [36, 7, -40, -85, -1],
 [33, -30, -15, -18, -18]]?

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


[User]
What is the rank of the matrix:
[[-19, 26, -38, -21, -40],
 [4, 0, -36, 16, 16],
 [-47, 44, 7, -43, -44],
 [-19, 22, -16, -21, -32],
 [65, -54, -30, 45, 24]]?

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


[User]
Determine the rank of the following matrix:
[[-12, -2, 8, -2, 12],
 [12, 2, -8, 2, -12],
 [-36, -6, 24, -6, 36],
 [18, 3, -12, 3, -18],
 [-18, -3, 12, -3, 18]]

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


[User]
Determine the rank of the following matrix:
[[3, 7, 13, -12, -5],
 [3, 6, 6, -4, -5],
 [-9, -12, 24, -36, 15],
 [-24, -42, -6, -16, 40],
 [-12, -19, 11, -24, 20]]

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


[User]
Find the rank of the matrix:
[[43, -18, -34, 42, 2],
 [-46, 12, 52, -48, 1],
 [9, -30, 24, 0, 6],
 [-30, 36, 2, -22, -5],
 [-31, 2, 60, -36, 6]]

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


[User]
Determine the rank of the following matrix:
[[-1, 1, -28, -10, -3],
 [22, 7, -5, -18, -18],
 [5, -23, -8, -49, -47],
 [43, -10, -45, -74, -65],
 [35, -49, -2, -19, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -18, -9, 18, -15],
 [66, -36, 18, -36, 42],
 [39, -18, 12, -24, 27],
 [3, -18, -6, 12, -9],
 [27, -18, 6, -12, 15]]

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


[User]
Find the rank of the matrix:
[[0, 1, -6, -3, 2],
 [0, 6, -36, -18, 12],
 [0, -2, 12, 6, -4],
 [0, -4, 24, 12, -8],
 [0, -3, 18, 9, -6]]

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


[User]
What is the rank of the matrix:
[[-24, -3, 0, -24, 24],
 [3, 5, -50, 18, -37],
 [5, -3, -44, -16, -3],
 [18, -1, 22, 6, 2],
 [-11, -4, 24, -20, 29]]?

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


[User]
Calculate the rank of matrix A where A =
[[-18, 0, 15, -6, 3],
 [0, 24, -10, 4, 10],
 [-6, 24, -5, 2, 11],
 [32, 8, -30, 12, -2],
 [-18, -12, 20, -8, -2]]

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


[User]
Determine the rank of the following matrix:
[[16, -9, -4, -25, -17],
 [18, 19, 22, -22, -13],
 [-12, 12, -15, 12, 6],
 [-10, 0, -30, 5, 0],
 [18, 15, 15, -24, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 4, -25, 5, -32],
 [59, -40, 45, -36, 47],
 [50, 10, 21, -29, 37],
 [-2, -50, 35, -19, 13],
 [-17, -2, 6, 13, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -34, -56, -36, -6],
 [-74, 2, 2, -30, -72],
 [6, -45, 67, 48, 0],
 [8, 52, -59, -39, 13],
 [11, -23, -61, -27, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, 19, 0, 5, 27],
 [-34, -28, 0, 10, -24],
 [4, 3, 0, -5, -1],
 [-32, -26, 0, 14, -18],
 [-2, -3, 0, -17, -19]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 56, -4, 32, -16],
 [1, -24, 15, -16, 0],
 [-44, -38, -49, 31, 14],
 [0, -5, 20, -10, 0],
 [9, 5, 11, -12, 4]]

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


[User]
What is the rank of the matrix:
[[4, 0, -12, -8, -16],
 [-40, -18, 21, -10, -2],
 [-18, -24, -2, 4, -24],
 [15, -8, -13, 18, -12],
 [50, -18, -59, 30, -62]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -15, -60, 0, -21],
 [-5, 5, 44, -6, 20],
 [39, -42, 18, 3, 15],
 [-2, 8, 12, 2, 2],
 [-4, -20, -32, -12, -2]]

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


[User]
What is the rank of the matrix:
[[4, 4, -4, -12, 20],
 [2, 2, -2, -6, 10],
 [-1, -1, 1, 3, -5],
 [-5, -5, 5, 15, -25],
 [2, 2, -2, -6, 10]]?

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


[User]
Determine the rank of the following matrix:
[[-28, -34, -100, -56, -82],
 [7, -25, -24, -29, -16],
 [-40, 47, -24, -21, -24],
 [34, -18, 53, 48, 45],
 [16, 23, 65, 40, 48]]

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


[User]
What is the rank of the matrix:
[[-28, -13, -31, -6, 21],
 [16, -17, 4, 26, -22],
 [15, 6, 42, -42, -3],
 [8, 23, -4, 26, -6],
 [-4, 38, 17, -36, 19]]?

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


[User]
Find the rank of the matrix:
[[-20, -28, -28, -17, -28],
 [19, 21, 26, 13, 22],
 [-26, -34, -32, -16, -28],
 [-12, -17, 7, 17, 20],
 [12, -30, 18, -9, -12]]

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


[User]
Find the rank of the matrix:
[[8, -24, 34, -4, -44],
 [-36, -9, -36, -12, 0],
 [22, 11, 34, 10, -16],
 [-21, -22, -28, -13, 6],
 [-52, 30, -35, -2, -14]]

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


[User]
Find the rank of the matrix:
[[16, 2, 0, 0, 16],
 [-42, -3, -9, 6, -36],
 [-14, -4, 9, -6, -20],
 [16, 5, -12, 8, 24],
 [2, 1, -3, 2, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 0, 8, -2, 12],
 [-3, 0, 4, -1, 6],
 [-3, 0, 4, -1, 6],
 [-6, 0, 8, -2, 12],
 [9, 0, -12, 3, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 50, -30, 35, 0],
 [12, 57, -48, 27, -24],
 [-8, 32, -26, 6, 11],
 [3, -29, 0, -38, -27],
 [-28, -9, 20, -7, 58]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[28, 5, -12, -19, 4],
 [-20, 1, 20, 17, -12],
 [-12, 3, 18, 12, -12],
 [12, 21, 42, 6, -36],
 [-32, -12, -2, 17, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[22, -36, -12, 26, -68],
 [-27, 36, 0, -23, 56],
 [8, -30, -6, 6, -18],
 [0, -27, -27, 13, -43],
 [15, -29, 3, 8, -19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 19, -4, -24, 23],
 [29, 43, 20, 5, 23],
 [1, 8, -8, -23, 16],
 [33, 48, 24, 9, 24],
 [5, 4, 8, 13, -4]]

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


[User]
What is the rank of the matrix:
[[-3, -5, 2, 1, 0],
 [6, 10, -4, -2, 0],
 [-15, -25, 10, 5, 0],
 [0, 0, 0, 0, 0],
 [-15, -25, 10, 5, 0]]?

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


[User]
What is the rank of the matrix:
[[15, 32, -17, 4, 16],
 [30, 14, 16, -2, -8],
 [10, -12, 22, -4, -16],
 [15, 17, -2, 1, 4],
 [15, 22, -7, 2, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[57, 33, 9, 9, -9],
 [-38, -29, 36, 21, -32],
 [24, 21, -4, -11, 10],
 [-20, -21, 36, 15, -34],
 [-33, -13, -23, -15, 24]]

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


[User]
Find the rank of the matrix:
[[-25, -11, 29, 23, 0],
 [-10, -38, 34, -2, 28],
 [15, 3, -15, -15, 3],
 [-15, -15, 23, 11, 7],
 [-15, -15, 23, 11, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -4, -28, 16, -14],
 [21, -2, -29, 20, -10],
 [-6, 4, 13, -4, 11],
 [5, 14, 13, 12, 32],
 [4, -8, -16, 0, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 6, -8, 10, 1],
 [3, 18, -24, 30, 3],
 [-21, -36, 33, -45, -6],
 [-14, 6, -23, 25, 1],
 [7, 12, -11, 15, 2]]

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


[User]
Find the rank of the matrix:
[[-16, -40, -44, -34, 10],
 [10, 6, 18, 26, -11],
 [0, -20, -10, 5, -5],
 [-2, -14, -10, -2, -1],
 [-4, -8, -10, -9, 3]]

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


[User]
Determine the rank of the following matrix:
[[59, 5, -28, 5, 49],
 [43, 5, -28, 7, 37],
 [7, 5, -46, 37, 31],
 [61, 5, -31, 9, 54],
 [-33, 1, -20, 27, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[26, -27, -34, -36, 15],
 [-2, 30, 28, 18, -24],
 [4, 28, 24, 12, -24],
 [14, 10, 4, -6, -12],
 [12, 7, 2, -6, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 4, 5, -2, -2],
 [9, 12, 15, -6, -6],
 [-3, -4, -5, 2, 2],
 [0, 0, 0, 0, 0],
 [-15, -20, -25, 10, 10]]

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


[User]
Find the rank of the matrix:
[[-18, 6, 34, -23, -19],
 [-13, 3, 14, -39, 14],
 [8, 2, -8, 14, -14],
 [-8, -2, 18, 11, -11],
 [-1, 5, -8, -40, 19]]

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


[User]
Find the rank of the matrix:
[[-18, -30, -36, -6, 6],
 [3, 5, 6, 1, -1],
 [3, 5, 6, 1, -1],
 [18, 30, 36, 6, -6],
 [-12, -20, -24, -4, 4]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 3, 1, -1, -8],
 [4, 12, 22, -22, 13],
 [0, 0, -6, 6, -15],
 [1, 3, 7, -7, 7],
 [-6, -18, -18, 18, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-21, -28, -46, 17, 11],
 [18, 27, 41, -3, -10],
 [24, -7, 24, 15, -10],
 [-21, -28, -27, 4, 4],
 [18, -42, 27, 12, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[21, 77, 31, -28, 4],
 [1, -22, -13, 7, -17],
 [2, 23, 15, -13, 13],
 [-11, -26, 12, -13, 32],
 [16, 20, -13, 32, -14]]

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


[User]
What is the rank of the matrix:
[[-20, 69, -9, 55, 13],
 [-69, 28, 3, 61, 78],
 [-16, 38, -3, 49, 20],
 [-23, -2, 2, 18, 23],
 [-20, -19, 1, -5, 4]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [15, 6, 0, 6, -15],
 [-20, -8, 0, -8, 20],
 [-10, -4, 0, -4, 10],
 [-10, -4, 0, -4, 10]]

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


[User]
Find the rank of the matrix:
[[-48, 6, -60, -24, 66],
 [-6, -13, 10, -3, -3],
 [6, 2, 4, 3, -6],
 [12, -18, 36, 6, -30],
 [12, 15, -6, 6, -3]]

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


[User]
Find the rank of the matrix:
[[-2, 6, -1, 1, 0],
 [4, -12, 2, -2, 0],
 [0, 0, 0, 0, 0],
 [-4, 12, -2, 2, 0],
 [12, -36, 6, -6, 0]]

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


[User]
Find the rank of the matrix:
[[30, -25, -10, 15, 15],
 [-30, 25, 10, -15, -15],
 [36, -30, -12, 18, 18],
 [6, -5, -2, 3, 3],
 [-24, 20, 8, -12, -12]]

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


[User]
Find the rank of the matrix:
[[-20, -3, -4, 3, -5],
 [14, 17, 24, 21, 36],
 [-7, -32, -27, -34, -35],
 [4, -40, -12, -32, -4],
 [-17, -16, -5, -6, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -31, 6, -76, -66],
 [5, 25, 0, 67, 38],
 [-15, -8, 11, 6, 18],
 [7, -44, 56, -6, 12],
 [-23, -25, 48, 35, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, -30, -10, 0, 15],
 [-16, 0, 10, -12, -15],
 [-26, -18, 14, -24, -21],
 [10, 2, -6, 8, 9],
 [-28, 20, 20, -16, -30]]

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


[User]
What is the rank of the matrix:
[[6, -20, 22, -24, -6],
 [21, 7, 0, 4, 23],
 [-3, 3, -4, 4, -1],
 [-9, -19, 16, -20, -19],
 [0, 14, -14, 16, 8]]?

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


[User]
Determine the rank of the following matrix:
[[10, -12, 20, 6, -22],
 [-14, 15, -28, -9, 27],
 [3, -9, 6, 0, -18],
 [24, -18, 48, 18, -30],
 [-15, 0, -30, -15, -5]]

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


[User]
Find the rank of the matrix:
[[-36, 18, 36, 0, -48],
 [8, 40, 34, -16, -30],
 [14, 31, 16, -41, 17],
 [20, -2, -8, 16, -4],
 [16, -4, -10, 8, 6]]

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


[User]
Find the rank of the matrix:
[[5, 34, -22, 58, 13],
 [4, 25, -11, 11, -12],
 [7, 31, -21, 25, -9],
 [3, -21, -4, -25, -6],
 [-4, -19, 6, 17, 27]]

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


[User]
Find the rank of the matrix:
[[47, -24, -27, 27, 24],
 [1, -57, -6, 26, -23],
 [-12, -26, 25, -3, -31],
 [-45, 38, 2, -20, -3],
 [-32, 37, 19, -27, -7]]

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


[User]
What is the rank of the matrix:
[[-4, 10, -4, -6, 6],
 [4, -10, 4, 6, -6],
 [-10, 25, -10, -15, 15],
 [2, -5, 2, 3, -3],
 [-6, 15, -6, -9, 9]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, 8, 5, 8, 1],
 [-32, -62, 25, 16, 39],
 [4, 41, -7, 9, -21],
 [16, 21, 3, 8, 2],
 [66, -24, -3, -24, -15]]

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


[User]
Find the rank of the matrix:
[[14, 7, 31, -3, -10],
 [-4, 2, 14, 6, 12],
 [0, -7, -10, -9, -16],
 [-10, -16, -46, -12, -18],
 [-12, 6, 21, 18, 36]]

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


[User]
Determine the rank of the following matrix:
[[15, -18, 3, -2, 14],
 [-3, -3, 6, -5, -4],
 [11, -29, 28, -10, 13],
 [12, -14, 14, 4, 18],
 [-4, 17, -21, 7, -6]]

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


[User]
Determine the rank of the following matrix:
[[50, 28, -14, 33, 8],
 [46, 4, -43, 54, -33],
 [44, 24, -23, 33, -17],
 [18, 12, -6, 11, -2],
 [36, 40, 9, 5, 23]]

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


[User]
What is the rank of the matrix:
[[30, 4, 20, 2, -6],
 [-24, 6, -18, 0, 6],
 [-13, 16, 14, 22, -9],
 [2, -25, -25, -28, 13],
 [7, -3, -21, -20, 12]]?

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


[User]
Calculate the rank of matrix A where A =
[[-28, 6, -5, -46, 19],
 [-9, 1, -3, -12, 14],
 [-18, 2, -6, -24, 28],
 [-18, 4, -3, -30, 11],
 [-12, 4, 0, -24, -4]]

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


[User]
Find the rank of the matrix:
[[25, 38, -1, -53, 5],
 [17, 20, -9, -23, 13],
 [11, 25, -2, -24, 14],
 [-21, 9, 15, -20, 45],
 [-9, -29, -4, 40, -20]]

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


[User]
What is the rank of the matrix:
[[10, -13, 7, -5, -6],
 [18, -21, 15, -9, -6],
 [8, -12, 4, -4, -8],
 [16, -20, 12, -8, -8],
 [-14, 18, -10, 7, 8]]?

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


[User]
What is the rank of the matrix:
[[6, -17, -30, 4, 7],
 [37, -27, -6, 3, 21],
 [-25, -4, 12, 35, -4],
 [-25, 8, 0, 11, -10],
 [-3, 6, 6, -3, -3]]?

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


[User]
Find the rank of the matrix:
[[0, 6, 0, 3, -12],
 [0, 6, 0, 3, -12],
 [0, 6, 0, 3, -12],
 [0, -10, 0, -5, 20],
 [0, -12, 0, -6, 24]]

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


[User]
Determine the rank of the following matrix:
[[-17, 34, 23, -2, 19],
 [12, 54, 35, 4, -3],
 [19, -35, -26, -1, -23],
 [-13, 32, 17, -8, 11],
 [-22, -12, -4, 0, 20]]

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


[User]
Find the rank of the matrix:
[[-10, -15, 2, -22, -22],
 [0, 0, 0, 0, 0],
 [-28, -3, -10, 6, 6],
 [24, 9, 6, 6, 6],
 [-5, 0, -2, 2, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[-20, 30, -15, 5, 30],
 [4, -6, 3, -1, -6],
 [20, -30, 15, -5, -30],
 [-20, 30, -15, 5, 30],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[-25, -27, 12, -24, 36],
 [5, -10, -9, -15, 6],
 [-10, -15, 3, -15, 18],
 [-15, 9, 18, 18, 0],
 [25, 13, -18, 6, -24]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, -42, 7, -14, -10],
 [10, -6, -11, -50, 2],
 [33, -49, 42, 28, -1],
 [-18, 10, -26, -3, -11],
 [-9, 5, 17, 60, -1]]

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


[User]
Find the rank of the matrix:
[[-3, -34, -16, 20, -38],
 [9, -15, 12, -15, -12],
 [-12, -6, -24, 30, -12],
 [-2, -27, -12, 15, -30],
 [-1, -20, -8, 10, -22]]

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


[User]
What is the rank of the matrix:
[[-20, -12, -8, -16, 12],
 [26, -6, 20, 28, -30],
 [13, -30, 22, 23, -33],
 [-10, 21, -16, -17, 24],
 [6, 36, -12, -6, 18]]?

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


[User]
Calculate the rank of matrix A where A =
[[-14, -3, -7, -4, -5],
 [-10, 23, -27, -28, -13],
 [24, 12, 6, 0, 6],
 [-12, 34, -38, -40, -18],
 [-42, -9, -21, -12, -15]]

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


[User]
Determine the rank of the following matrix:
[[16, 18, 34, -14, -6],
 [-12, -17, -39, 9, 11],
 [20, 12, 2, -22, 12],
 [34, 26, 25, -35, 10],
 [0, 0, 0, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[35, -3, 20, 2, -8],
 [-5, -15, -8, -2, 8],
 [20, 6, 14, 2, -8],
 [0, 45, 15, 5, -20],
 [0, -9, -3, -1, 4]]

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


[User]
What is the rank of the matrix:
[[-14, -10, -2, -1, 22],
 [-9, 10, -13, 11, 10],
 [47, 35, 2, 21, -4],
 [-11, 5, -8, -4, -38],
 [8, -15, 13, -1, 48]]?

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


[User]
Determine the rank of the following matrix:
[[-2, 24, -48, -4, 36],
 [-44, -54, 56, 4, -72],
 [-61, -21, 12, 10, -19],
 [9, 17, -2, 4, -1],
 [26, 16, -20, -4, 50]]

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


[User]
Determine the rank of the following matrix:
[[3, -9, 20, 9, 10],
 [-30, 14, 11, -13, 36],
 [2, 30, 3, -17, 22],
 [27, 10, 1, 16, 32],
 [-36, -23, 20, -2, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, -40, 41, 24, 9],
 [13, 0, 33, 26, 5],
 [37, 2, 50, 4, 46],
 [2, 48, 12, 18, 0],
 [31, -4, 35, -8, 43]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 18, -30, -36, 30],
 [0, -3, 5, 6, -5],
 [0, 15, -25, -30, 25],
 [0, -15, 25, 30, -25],
 [0, 12, -20, -24, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -2, -6, 27, -9],
 [-14, 2, -8, 28, 7],
 [-24, -2, -2, 19, 7],
 [-28, 32, -12, -36, 72],
 [-24, -12, -12, 84, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -6, 5, 4, -5],
 [50, 18, -26, -4, 20],
 [40, 27, -28, -14, 25],
 [50, 18, -26, -4, 20],
 [0, 35, -20, -30, 25]]

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


[User]
Find the rank of the matrix:
[[26, -29, 4, -12, 11],
 [24, -9, -6, -24, 15],
 [-35, 20, 5, 30, -20],
 [-32, 23, 2, 24, -17],
 [-33, 33, -3, 18, -15]]

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


[User]
Determine the rank of the following matrix:
[[39, 24, -3, 33, 30],
 [-4, 29, -43, -52, -17],
 [-34, -27, 41, -4, -33],
 [39, 37, -70, -11, 41],
 [-63, -27, 45, -14, -45]]

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


[User]
Find the rank of the matrix:
[[-3, -31, -17, -42, -4],
 [50, 9, -33, 4, -17],
 [-4, 47, 9, 40, 1],
 [13, 2, 22, -13, -6],
 [30, -9, -47, -3, -10]]

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


[User]
Find the rank of the matrix:
[[-18, 20, -42, -14, 21],
 [-6, -28, 41, 2, -41],
 [-36, -8, -17, -24, -14],
 [24, -12, 40, 20, -16],
 [30, 24, -4, 22, 25]]

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


[User]
Determine the rank of the following matrix:
[[26, 4, 6, -3, -28],
 [-40, 4, -5, -3, 27],
 [-12, 0, -2, 0, 10],
 [6, 0, 1, 0, -5],
 [-36, 24, 4, -18, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, -48, -50, 7, 15],
 [22, -36, -52, -1, 7],
 [-4, 3, 26, 5, 6],
 [6, -21, -46, 2, -1],
 [22, -24, -2, -1, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 6, 9, -15, -8],
 [14, 6, 1, 9, 24],
 [12, -18, 8, 16, 24],
 [-25, 18, -11, -26, -47],
 [12, 30, -4, -4, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -17, 34, -16, -15],
 [-18, -47, 10, -29, -18],
 [-5, -15, 33, -20, -6],
 [12, 38, 24, 20, 2],
 [-8, -17, -56, 11, -6]]

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


[User]
Determine the rank of the following matrix:
[[-24, 20, 24, -12, -4],
 [-21, -14, -14, 11, 12],
 [-39, 45, 44, -42, -19],
 [-36, 11, 6, -19, -3],
 [27, -24, -22, 25, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 35, 38, 38, 26],
 [-40, 25, 3, -7, 4],
 [-27, 10, -1, -16, -5],
 [-69, 49, 38, -7, 7],
 [-52, 26, -4, -19, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[31, 4, -20, 27, 42],
 [4, 2, -1, 10, 14],
 [62, -22, -45, 44, 34],
 [14, -27, -22, 2, -20],
 [-36, 26, 34, -2, 20]]

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


[User]
Find the rank of the matrix:
[[14, 16, 26, -28, -56],
 [0, 29, 23, 19, -6],
 [-6, -29, -27, -6, 28],
 [57, 26, -33, 1, -10],
 [-47, -30, 29, -30, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 5, -3, 6, 7],
 [14, -5, 8, -2, 8],
 [-58, 41, -44, 2, -36],
 [-48, 54, -48, -6, -36],
 [21, -8, 11, -5, 7]]

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


[User]
Find the rank of the matrix:
[[-57, -19, 0, 3, -24],
 [18, 15, -18, 15, 8],
 [-27, 42, -19, -57, 51],
 [17, 6, 20, -26, 10],
 [7, -65, 58, 20, -58]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [0, 4, -8, 2, 12],
 [0, 0, 0, 0, 0],
 [0, 12, -24, 6, 36],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-6, -3, 2, 5, -6],
 [-36, -18, 12, 30, -36],
 [-36, -18, 12, 30, -36],
 [-12, -6, 4, 10, -12],
 [18, 9, -6, -15, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-33, 16, -11, -10, 25],
 [-5, -17, -12, 37, -18],
 [-18, 16, -2, -28, 10],
 [-18, 25, 3, -59, 1],
 [-31, 19, -8, -31, 8]]

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


[User]
Determine the rank of the following matrix:
[[-37, 27, 1, 1, -31],
 [-18, 17, 0, 8, 16],
 [-20, 25, 14, 6, -2],
 [19, 1, 17, 9, 45],
 [-22, 44, 40, 12, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -48, -30, 6, -12],
 [30, -4, 38, -38, -4],
 [-13, -7, -16, 10, -4],
 [-2, -14, -7, -2, -7],
 [-28, 2, -4, -2, -10]]

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


[User]
Determine the rank of the following matrix:
[[4, -35, -39, -29, -16],
 [2, 15, 12, 0, 14],
 [-3, 2, 11, 5, -13],
 [3, -16, -16, -19, -6],
 [3, -1, 1, -22, -16]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [8, 12, 0, -12, -8],
 [-8, -12, 0, 12, 8],
 [0, 0, 0, 0, 0]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, 2, -34, 0, -4],
 [-35, -5, -28, -9, -51],
 [40, 14, 19, -14, 57],
 [-16, 66, -53, -11, 26],
 [-11, 17, 11, 41, -10]]

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


[User]
Determine the rank of the following matrix:
[[23, 15, 13, -32, -26],
 [-14, 24, -45, -8, -22],
 [-20, -31, 2, 44, 35],
 [-15, 4, -32, 11, -6],
 [-6, -18, 10, 20, -12]]

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


[User]
Find the rank of the matrix:
[[24, -30, 17, 14, 30],
 [23, -41, 32, 30, 39],
 [12, 42, 3, -42, -51],
 [-7, -59, -18, 46, 75],
 [-23, 23, -53, -24, -12]]

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


[User]
Find the rank of the matrix:
[[39, 9, 14, -4, -16],
 [28, 21, 17, -18, -5],
 [28, 50, 7, -29, -37],
 [37, 14, 39, -24, -1],
 [30, 51, 20, -37, -34]]

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


[User]
What is the rank of the matrix:
[[14, 21, -13, 19, -20],
 [-12, 6, -6, 10, 0],
 [-22, -3, -1, 3, 10],
 [10, -33, 25, -39, 20],
 [-6, -18, 12, -18, 15]]?

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


[User]
Find the rank of the matrix:
[[6, -2, -8, -2, 2],
 [-9, 3, 12, 3, -3],
 [12, -4, -16, -4, 4],
 [3, -1, -4, -1, 1],
 [12, -4, -16, -4, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 8, 26, -14, 26],
 [-13, -8, -54, -2, -29],
 [28, -3, 37, 58, -18],
 [-18, -9, -11, 4, -16],
 [-24, -3, -72, -39, -12]]?

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


[User]
What is the rank of the matrix:
[[-22, -13, 0, 12, -3],
 [-52, -22, -12, 18, -12],
 [10, 35, -40, -40, -15],
 [-6, 27, -42, -33, -18],
 [20, -10, 30, 15, 15]]?

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


[User]
What is the rank of the matrix:
[[0, 24, 24, 18, -6],
 [0, -4, -4, -3, 1],
 [0, -20, -20, -15, 5],
 [0, 0, 0, 0, 0],
 [0, -24, -24, -18, 6]]?

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


[User]
Find the rank of the matrix:
[[-12, 6, -6, 36, -30],
 [30, -3, 3, -48, 36],
 [-24, -4, 4, 16, -8],
 [-42, -3, 3, 42, -27],
 [-20, -2, 2, 18, -11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 45, 17, 9, -2],
 [-16, 0, -24, -12, -12],
 [30, 7, 36, 84, 24],
 [6, 7, 34, -3, 5],
 [-25, -13, -24, -6, -21]]

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


[User]
What is the rank of the matrix:
[[-8, 20, 8, -12, 0],
 [0, 0, 0, 0, 0],
 [-10, 25, 10, -15, 0],
 [10, -25, -10, 15, 0],
 [10, -25, -10, 15, 0]]?

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


[User]
What is the rank of the matrix:
[[5, 10, -20, -15, -10],
 [5, 8, -4, -3, -7],
 [-15, -20, -20, -15, 15],
 [-12, -14, -32, -24, 9],
 [17, 26, -4, -3, -22]]?

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 24, 8, 0, -24],
 [12, -36, -12, 0, 36],
 [4, -12, -4, 0, 12],
 [2, -6, -2, 0, 6],
 [4, -12, -4, 0, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 11, 30, -8, -17],
 [60, -7, 30, 46, 19],
 [-23, -1, -18, -12, -1],
 [-12, -2, -12, -4, 2],
 [-5, 2, 0, -6, -4]]

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


[User]
Determine the rank of the following matrix:
[[-8, 32, -22, -30, 10],
 [2, 10, -17, -6, 2],
 [2, -2, -2, 3, -1],
 [-12, 28, -8, -30, 10],
 [-6, 10, 1, -12, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -15, 13, 60, 98],
 [3, -38, -61, 71, -31],
 [24, -21, -57, 24, -58],
 [-26, -12, -10, 90, 58],
 [8, 6, -38, 30, -48]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 12, 2, 12, 2],
 [12, -36, -6, -36, -6],
 [-12, 36, 6, 36, 6],
 [10, -30, -5, -30, -5],
 [8, -24, -4, -24, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 3, 4, -5, 6],
 [8, 6, 8, -10, 12],
 [-4, -3, -4, 5, -6],
 [20, 15, 20, -25, 30],
 [-24, -18, -24, 30, -36]]

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


[User]
Find the rank of the matrix:
[[-24, -26, 14, 0, -30],
 [-27, 12, -18, -15, -15],
 [-6, -12, 8, 2, -10],
 [-18, -3, -3, -6, -15],
 [-18, 19, -21, -14, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -15, 3, -1, -31],
 [12, -27, 21, 0, -36],
 [13, 24, -28, 29, 11],
 [-19, -2, -8, -30, -6],
 [0, -21, 9, -15, -33]]

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


[User]
Determine the rank of the following matrix:
[[-1, -16, 56, -17, -44],
 [9, -20, 6, 26, 0],
 [16, -15, -1, 29, 10],
 [29, 21, 17, -19, 4],
 [-5, -24, -2, 26, -4]]

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


[User]
What is the rank of the matrix:
[[-4, 63, 25, -10, -32],
 [10, 39, 24, -2, -11],
 [24, 6, 30, 3, 2],
 [-58, 29, 14, 34, -37],
 [18, 2, 46, -19, -35]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 15, 6, 21, -3],
 [33, -12, -21, -15, -12],
 [6, -14, -2, -20, 6],
 [-6, 1, 4, 1, 3],
 [-6, 14, 2, 20, -6]]

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


[User]
Find the rank of the matrix:
[[-25, 26, 65, -30, -12],
 [-22, 9, 14, -5, -6],
 [21, -9, -21, 6, 5],
 [42, -4, 6, -10, 6],
 [-4, 4, -28, -1, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-25, -24, -23, -7, 19],
 [-27, -36, -29, -5, 22],
 [17, 35, 24, 4, -16],
 [-5, -29, -38, -34, 39],
 [11, 51, 18, 50, 11]]

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


[User]
What is the rank of the matrix:
[[14, 26, 25, -14, 18],
 [-31, 26, 19, -4, 26],
 [24, -41, -25, 12, -34],
 [19, -23, 19, -2, -25],
 [-3, 26, 25, -16, 11]]?

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


[User]
Calculate the rank of matrix A where A =
[[-15, 35, 30, -8, -15],
 [-6, -54, -29, -18, 16],
 [-3, -7, -17, -26, -47],
 [-18, -51, -12, -18, 39],
 [12, 10, -22, -16, -70]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [18, 0, -36, 0, 12],
 [15, 0, -30, 0, 10],
 [-12, 0, 24, 0, -8],
 [3, 0, -6, 0, 2]]?

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


[User]
Determine the rank of the following matrix:
[[-3, -1, 5, 4, -10],
 [17, 15, -11, -12, 10],
 [-14, -7, 19, 16, -35],
 [-2, 4, 12, 8, -30],
 [9, 3, -15, -12, 30]]

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


[User]
Find the rank of the matrix:
[[10, 5, 4, 2, -4],
 [-22, -35, -5, -20, 28],
 [-18, -5, 27, -20, 4],
 [-46, -25, 14, -28, 20],
 [32, -30, -34, 6, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 19, 67, -14, -14],
 [-14, -66, 32, -4, -2],
 [21, 1, -18, -54, -22],
 [0, -36, 20, 17, 10],
 [-68, -52, 16, -38, -30]]

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


[User]
Determine the rank of the following matrix:
[[-39, 10, -30, -7, -5],
 [41, 41, -32, 60, -42],
 [-18, 2, 44, -52, 42],
 [4, -52, 28, -42, 26],
 [14, 54, -22, 56, -31]]

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


[User]
What is the rank of the matrix:
[[18, 36, 0, 39, 30],
 [31, 50, -9, 54, 24],
 [24, 2, 14, 1, -11],
 [-23, -4, -11, -6, 1],
 [-26, -51, 4, -54, -33]]?

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


[User]
Determine the rank of the following matrix:
[[-18, 16, -8, 5, -8],
 [8, -5, 12, -13, 8],
 [-22, 6, -6, -1, -20],
 [32, -32, 23, -21, 14],
 [-24, 29, -10, 7, -4]]

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


[User]
What is the rank of the matrix:
[[-30, 12, -18, -12, 21],
 [2, -4, 6, -8, 13],
 [36, -24, 36, -12, 18],
 [10, -8, 12, -7, 11],
 [34, -16, 24, 7, -13]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, -2, -18, -9, 3],
 [16, -1, -43, 24, -10],
 [8, -17, 41, 15, -18],
 [46, -42, -66, 19, -18],
 [35, -15, -58, 54, -37]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -3, -15, -18, -15],
 [8, -2, -10, -12, -10],
 [20, -5, -25, -30, -25],
 [12, -3, -15, -18, -15],
 [24, -6, -30, -36, -30]]

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


[User]
Find the rank of the matrix:
[[6, 16, 7, 11, -13],
 [4, -16, 6, -2, 6],
 [-5, -10, -6, -8, 9],
 [-5, 10, -7, -1, -2],
 [-14, 36, -20, 0, -10]]

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


[User]
Find the rank of the matrix:
[[19, 34, -2, 26, -39],
 [-8, -34, -10, -10, 34],
 [-5, -2, -14, 11, 23],
 [55, 17, 30, -20, -59],
 [42, -29, 28, -54, 6]]

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


[User]
Determine the rank of the following matrix:
[[-16, 6, 11, -52, 47],
 [52, 18, 0, -20, 16],
 [-6, 25, -15, -34, 37],
 [-21, 16, -26, 34, -28],
 [9, -10, 15, 24, -33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -4, 10, -7, 15],
 [12, 10, 2, -32, 15],
 [-6, 6, -6, 54, -15],
 [-31, -34, 10, -20, -2],
 [48, 48, -12, 6, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-50, 31, 24, -25, -39],
 [-5, 22, -3, 11, 6],
 [-16, 6, 24, -18, -6],
 [-6, 11, -3, 4, -3],
 [12, 12, 18, 6, 36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 0, 10, -2, 5],
 [17, 19, 15, -14, 4],
 [-11, 23, 11, -14, 0],
 [23, -14, -23, 2, 0],
 [-31, 13, 7, -4, -3]]

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


[User]
What is the rank of the matrix:
[[18, -18, 36, 30, -12],
 [-9, 9, -18, -15, 6],
 [3, -3, 6, 5, -2],
 [0, 0, 0, 0, 0],
 [-3, 3, -6, -5, 2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, 2, -26, 10, -4],
 [21, -32, -12, -18, 20],
 [1, -27, -22, -13, 25],
 [3, 17, 12, 9, -17],
 [-35, -11, 22, -17, 21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -18, -15, 15, 6],
 [3, -24, -11, -10, 2],
 [-27, 48, 31, -10, -10],
 [25, -60, -35, 0, 10],
 [40, -12, -22, 50, 12]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-48, -10, -12, 5, 24],
 [11, 10, 3, 37, -10],
 [-9, 26, -4, 45, -10],
 [8, -9, 0, -3, -13],
 [-29, -8, -16, -37, -20]]

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


[User]
What is the rank of the matrix:
[[-1, -3, 5, 1, 5],
 [-5, -15, 25, 5, 25],
 [5, 15, -25, -5, -25],
 [5, 15, -25, -5, -25],
 [1, 3, -5, -1, -5]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 8, 16, -8, -24],
 [-18, 12, 24, -12, -36],
 [-9, 6, 12, -6, -18],
 [18, -12, -24, 12, 36],
 [3, -2, -4, 2, 6]]

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


[User]
Find the rank of the matrix:
[[-25, 10, -25, 10, -5],
 [0, 2, 7, 3, 6],
 [20, -14, -1, -17, -14],
 [5, -12, -30, -17, -29],
 [40, -24, 12, -28, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 20, 29, 20, -20],
 [0, -24, -36, -24, 24],
 [42, -4, 1, -4, 4],
 [-18, 0, -3, 0, 0],
 [30, -12, -13, -12, 12]]

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


[User]
Determine the rank of the following matrix:
[[-30, 24, -18, -36, -30],
 [20, -16, 12, 24, 20],
 [15, -12, 9, 18, 15],
 [5, -4, 3, 6, 5],
 [-10, 8, -6, -12, -10]]

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


[User]
What is the rank of the matrix:
[[43, 2, -7, -4, -10],
 [0, 6, -3, -34, -13],
 [-61, 4, 10, -44, -7],
 [32, 24, -46, 0, 14],
 [-6, 64, -43, -34, 9]]?

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


[User]
Find the rank of the matrix:
[[-75, 9, 24, -34, -15],
 [-52, 25, 20, 10, -3],
 [6, 54, -33, -21, -11],
 [30, -74, 17, -10, 0],
 [10, 3, 12, 22, -9]]

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


[User]
What is the rank of the matrix:
[[-12, 31, -41, -23, -16],
 [7, -21, -60, 26, -66],
 [5, 11, 62, -12, 58],
 [3, 25, 26, -18, 34],
 [31, 7, 8, 14, -2]]?

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


[User]
Find the rank of the matrix:
[[20, -30, 8, -48, 2],
 [25, -9, 29, -3, -26],
 [0, 12, 8, 24, -12],
 [15, -24, 5, -39, 3],
 [25, -18, 23, -21, -17]]

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


[User]
What is the rank of the matrix:
[[27, -35, -47, 16, -4],
 [13, -25, 17, 49, 12],
 [-8, 0, -24, -32, -18],
 [-13, 5, -4, -22, -12],
 [65, 15, -4, 46, 54]]?

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


[User]
What is the rank of the matrix:
[[22, -37, -30, -18, -28],
 [4, -9, -6, -2, -8],
 [13, -23, -18, -10, -18],
 [-19, 24, 24, 20, 14],
 [1, 4, 0, -4, 6]]?

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


[User]
What is the rank of the matrix:
[[-16, 7, 18, -4, 14],
 [10, -9, -32, 27, -16],
 [29, -17, 20, -1, 41],
 [7, -20, 16, 7, 28],
 [-38, 15, -14, 18, -22]]?

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


[User]
Calculate the rank of matrix A where A =
[[65, 7, 38, 16, 50],
 [-20, 42, 1, -23, -24],
 [-24, 6, -3, -3, -32],
 [62, 24, 53, 17, 28],
 [13, -25, 16, 26, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 0, 5, -6, 1],
 [-10, 0, 25, -30, 5],
 [4, 0, -10, 12, -2],
 [8, 0, -20, 24, -4],
 [4, 0, -10, 12, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, 37, 21, 32, -1],
 [-24, -34, 10, -8, 1],
 [-29, -42, 3, -13, 0],
 [-2, 7, 27, 44, -7],
 [-22, -35, -39, -20, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[27, 56, 31, 28, 24],
 [9, 51, 40, 16, 0],
 [-9, 38, -3, 10, -16],
 [-16, -25, -38, 16, 14],
 [19, 8, 14, -6, 6]]

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


[User]
What is the rank of the matrix:
[[-21, 21, 0, -30, -45],
 [25, -20, 10, 20, 45],
 [0, 34, 18, -24, -39],
 [-15, 36, -18, 12, -45],
 [-12, 6, 18, -48, -27]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 26, 8, -22, 4],
 [21, 12, 24, -38, -14],
 [13, -13, -8, 24, -17],
 [-28, -3, -24, -14, 36],
 [9, -32, -24, -14, -6]]

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


[User]
Find the rank of the matrix:
[[-12, 9, -6, -3, 3],
 [0, 0, 0, 0, 0],
 [-16, 12, -8, -4, 4],
 [-12, 9, -6, -3, 3],
 [-12, 9, -6, -3, 3]]

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


[User]
Determine the rank of the following matrix:
[[0, -2, 0, -29, -3],
 [13, 4, 17, 65, -25],
 [11, -26, 26, 5, -23],
 [-1, 40, -18, 41, -4],
 [15, 52, -4, -15, -8]]

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


[User]
Determine the rank of the following matrix:
[[22, 28, 10, 49, 44],
 [48, -55, -19, -17, -41],
 [-31, -34, -24, -7, 0],
 [-47, 28, 8, -15, 4],
 [36, -10, -4, -2, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -19, 15, 2, -1],
 [18, 16, 18, 28, 1],
 [16, -20, 40, 24, 6],
 [15, 34, -16, 13, -25],
 [-21, -43, -5, -34, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[30, -13, -12, 3, -1],
 [19, -21, -6, -35, 39],
 [-18, -3, -7, -63, 46],
 [-51, 14, 36, -24, -28],
 [63, -36, -1, 18, -7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[35, -10, 0, -10, -40],
 [15, -21, 36, -30, -12],
 [-39, 13, -4, 14, 44],
 [-13, 0, 8, -2, 16],
 [1, -17, 36, -26, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -34, 2, 11, 1],
 [39, 23, -22, 2, 1],
 [35, 12, -26, -19, 9],
 [32, 24, 4, 17, 11],
 [21, 4, -34, -11, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[17, 21, 1, 16, -28],
 [-33, 87, -26, -4, -71],
 [23, -48, 13, 4, 74],
 [-51, 43, -25, -40, -56],
 [34, -73, 21, 0, 63]]

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


[User]
Find the rank of the matrix:
[[-8, -14, -20, 11, -15],
 [11, -23, -5, 6, -20],
 [26, 26, 50, -26, 30],
 [-18, -12, -30, 15, -15],
 [26, -26, 10, 0, -20]]

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


[User]
Determine the rank of the following matrix:
[[29, -21, 12, 42, 18],
 [36, 8, -4, 13, 21],
 [14, 39, -55, 18, -39],
 [33, 20, 14, 31, 18],
 [-38, -38, 3, -56, 4]]

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


[User]
Determine the rank of the following matrix:
[[-8, -25, 0, -10, 0],
 [12, 24, -41, -4, -23],
 [18, 17, -50, -15, -32],
 [14, 11, -29, -31, -17],
 [12, 24, -16, 31, -15]]

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


[User]
Find the rank of the matrix:
[[-12, -10, 2, -10, 0],
 [24, 20, -4, 20, 0],
 [6, 5, -1, 5, 0],
 [0, 0, 0, 0, 0],
 [-30, -25, 5, -25, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [-3, 2, -2, -3, 1],
 [-3, 2, -2, -3, 1],
 [9, -6, 6, 9, -3],
 [-12, 8, -8, -12, 4]]

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


[User]
Find the rank of the matrix:
[[-4, -55, 27, 2, -6],
 [-3, 18, -12, 3, -12],
 [8, 15, -1, -14, 62],
 [-15, 42, -30, -9, 60],
 [25, 32, -1, -9, 20]]

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


[User]
What is the rank of the matrix:
[[-8, 24, 24, -8, -16],
 [14, -27, -18, 13, 16],
 [9, 45, 0, -12, -18],
 [19, -18, -24, 11, 14],
 [-5, -6, 50, 9, -10]]?

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


[User]
Determine the rank of the following matrix:
[[-10, 8, 4, -11, 9],
 [10, -8, -4, 11, -9],
 [-26, 22, 7, -28, 23],
 [-28, 26, 1, -29, 24],
 [2, 2, -11, 4, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 6, 18, 18, -18],
 [3, -10, -6, 6, 0],
 [15, 10, 30, 30, -30],
 [9, -6, 6, 18, -12],
 [-15, -10, -30, -30, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -14, 4, -14, 6],
 [-3, -9, 6, -18, 15],
 [-5, -27, 10, -33, 19],
 [-2, -30, 4, -18, -2],
 [1, 3, -2, 6, -5]]

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


[User]
What is the rank of the matrix:
[[0, 22, -34, -45, 33],
 [17, -2, 21, -1, -18],
 [57, 18, 11, -38, 8],
 [-16, -8, -8, 36, 26],
 [30, 12, 2, -16, 22]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 24, -30, -30, -36],
 [0, 0, 0, 0, 0],
 [-2, 8, -10, -10, -12],
 [0, 0, 0, 0, 0],
 [-3, 12, -15, -15, -18]]

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


[User]
Find the rank of the matrix:
[[3, 6, 6, 6, -18],
 [-2, -4, -4, -4, 12],
 [-2, -4, -4, -4, 12],
 [0, 0, 0, 0, 0],
 [4, 8, 8, 8, -24]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [-12, 12, -36, 30, 36],
 [4, -4, 12, -10, -12],
 [-8, 8, -24, 20, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -16, -8, 8, -24],
 [-6, -24, -12, 12, -36],
 [-5, -20, -10, 10, -30],
 [4, 16, 8, -8, 24],
 [-1, -4, -2, 2, -6]]

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


[User]
Find the rank of the matrix:
[[51, -12, -36, 27, 3],
 [29, -10, -24, 21, 3],
 [0, 27, 30, -48, -11],
 [-46, 14, 36, -30, -4],
 [45, -9, -30, 21, 2]]

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


[User]
What is the rank of the matrix:
[[-4, 0, -1, -2, -5],
 [8, 0, 2, 4, 10],
 [0, 0, 0, 0, 0],
 [16, 0, 4, 8, 20],
 [-24, 0, -6, -12, -30]]?

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


[User]
Find the rank of the matrix:
[[-13, 24, 14, -13, -10],
 [14, -30, -28, 19, -5],
 [18, -36, -30, 22, 1],
 [1, -12, -8, 5, -9],
 [25, -36, -38, 27, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -18, -12, 0, -6],
 [-5, -21, 2, -24, -35],
 [6, 18, 12, 0, 6],
 [2, 0, 16, -24, -28],
 [-2, -5, -6, 4, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-26, -14, -15, -29, -13],
 [-30, -3, 23, -25, 26],
 [-12, -9, -8, -59, 20],
 [7, -8, 18, -68, 61],
 [31, 22, -35, 47, -46]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-13, 45, -2, -32, 11],
 [-5, -6, -28, -37, 4],
 [-27, 44, 12, -9, 6],
 [-26, -1, 17, 17, 10],
 [-31, -5, 35, 50, 0]]

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


[User]
What is the rank of the matrix:
[[12, 18, 0, 24, 24],
 [-12, -18, 0, -24, -24],
 [-6, -9, 0, -12, -12],
 [-8, -12, 0, -16, -16],
 [-12, -18, 0, -24, -24]]?

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


[User]
Find the rank of the matrix:
[[-19, -39, -15, -17, 2],
 [-51, -24, -18, -24, -18],
 [-8, -7, 4, -3, 7],
 [43, -50, -2, 0, 44],
 [-50, 27, -26, -15, -57]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -8, -2, -7, -1],
 [12, 70, 27, -25, -52],
 [-30, 13, -4, -3, -11],
 [13, 16, 9, 34, -18],
 [34, -18, 4, 4, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[69, 10, -15, 50, -20],
 [-41, -12, -13, -49, 23],
 [-12, 44, -30, 10, 44],
 [13, 24, -4, 27, 6],
 [-17, -35, 23, -35, -27]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -2, -2, 10, 7],
 [21, -14, 18, 22, 1],
 [-21, 14, -18, -22, -1],
 [-3, 2, -4, -1, 2],
 [-9, 6, -4, -15, -6]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [9, 6, 9, 0, -9],
 [3, 2, 3, 0, -3],
 [-18, -12, -18, 0, 18],
 [-12, -8, -12, 0, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[17, 2, -16, 9, 21],
 [24, -14, -31, -11, 9],
 [8, 10, -3, 17, 21],
 [3, 12, 3, 18, 18],
 [-10, 4, 12, 2, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[27, 45, -36, 21, -24],
 [0, 0, -18, -48, 60],
 [-3, -5, 21, 43, -54],
 [18, 30, -24, 14, -16],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-6, -2, -4, 0, -6],
 [0, 0, 0, 0, 0],
 [-12, -4, -8, 0, -12],
 [-12, -4, -8, 0, -12],
 [9, 3, 6, 0, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -12, -4, -12, -12],
 [24, -9, -6, -27, 0],
 [-12, 18, 6, 18, 18],
 [-20, 39, 12, 33, 42],
 [0, -9, -2, -3, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[7, -8, 2, 12, -3],
 [12, -28, -18, 42, 12],
 [23, -32, -2, 48, -3],
 [-5, 20, 20, -30, -15],
 [11, -4, 16, 6, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -3, 12, 15, -3],
 [8, -4, 16, 20, -4],
 [2, -1, 4, 5, -1],
 [-8, 4, -16, -20, 4],
 [12, -6, 24, 30, -6]]

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


[User]
What is the rank of the matrix:
[[18, 3, -14, 25, 1],
 [-14, -1, 6, -15, 1],
 [-18, -6, 25, -35, -5],
 [-34, -5, 24, -45, -1],
 [12, 3, -13, 20, 2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, 9, 34, -28, 3],
 [3, -6, 9, -3, 3],
 [8, 12, 20, -20, 0],
 [6, 16, 14, -18, -2],
 [2, -11, 7, 1, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, -1, 18, -40, 31],
 [-12, -10, -15, 3, -2],
 [-12, -10, -15, 3, -2],
 [39, 31, 42, 0, -1],
 [-18, -16, -27, 11, -8]]

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


[User]
Determine the rank of the following matrix:
[[3, -23, -44, -2, 44],
 [22, 66, 3, -35, -7],
 [-28, -46, 0, 23, -16],
 [-7, -3, -7, -2, -5],
 [2, 24, -21, -22, 1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[27, -57, 10, 19, -7],
 [-30, 33, -51, -18, -6],
 [11, -4, 19, -3, 1],
 [2, -6, -20, -14, -10],
 [2, 29, 22, -21, 4]]

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


[User]
What is the rank of the matrix:
[[40, -41, -52, -5, -19],
 [19, -17, -22, -2, -10],
 [-33, 32, 42, -5, -3],
 [-11, 21, 26, -6, -18],
 [-27, 7, 18, -44, -76]]?

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


[User]
What is the rank of the matrix:
[[17, -11, 6, -5, -9],
 [-41, -49, -34, 62, -7],
 [-4, 0, 42, -28, 4],
 [39, 34, 47, -62, 15],
 [28, 39, -49, 4, -14]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, -24, 12, 16, -16],
 [6, 12, -6, -8, 8],
 [-6, -12, 6, 8, -8],
 [-15, -30, 15, 20, -20],
 [-18, -36, 18, 24, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 32, 0, -12, -36],
 [0, 6, -54, 45, 0],
 [0, -2, 18, -15, 0],
 [-12, -14, -18, 21, 18],
 [14, 20, -12, 3, -21]]

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


[User]
Find the rank of the matrix:
[[-32, -5, 9, 2, -2],
 [41, 37, 23, -26, 51],
 [-50, -49, -7, 54, -47],
 [-55, -19, -1, -8, -21],
 [-8, -15, -5, 10, -14]]

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


[User]
Determine the rank of the following matrix:
[[65, -9, -42, 11, -54],
 [-37, -4, 31, -20, 50],
 [-8, -8, 20, -22, 53],
 [-11, 14, 7, -26, -82],
 [-44, 1, 23, -17, -15]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 36, -36, 24, -12],
 [10, 30, -30, 20, -10],
 [0, 0, 0, 0, 0],
 [6, 18, -18, 12, -6],
 [10, 30, -30, 20, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[18, 36, -30, 12, 36],
 [-3, -6, 5, -2, -6],
 [-9, -18, 15, -6, -18],
 [-3, -6, 5, -2, -6],
 [18, 36, -30, 12, 36]]

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


[User]
Find the rank of the matrix:
[[24, -36, -39, -42, -21],
 [-11, 14, 14, 27, 17],
 [8, 9, 17, 28, 5],
 [11, -30, -37, -53, -22],
 [20, -7, 0, 26, 6]]

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


[User]
What is the rank of the matrix:
[[-30, -6, 0, 31, 26],
 [-39, -14, -27, 22, 41],
 [-1, 16, 22, -8, 15],
 [-27, 0, 6, 46, 53],
 [-6, -7, 12, 51, 6]]?

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


[User]
Determine the rank of the following matrix:
[[-12, 10, -8, 0, 12],
 [-30, 29, -1, -18, 12],
 [0, -4, -19, 18, 18],
 [20, -14, 26, -12, -32],
 [-32, 24, -34, 12, 44]]

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


[User]
What is the rank of the matrix:
[[25, 20, 10, -10, 15],
 [22, 28, 10, 1, -3],
 [29, 49, 8, 4, -12],
 [30, -6, 48, 12, 0],
 [35, -11, 38, -13, 35]]?

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


[User]
What is the rank of the matrix:
[[-7, 16, 9, 1, 0],
 [9, -20, -35, -33, 4],
 [-14, 19, 11, 8, -10],
 [8, -27, -33, -21, -4],
 [-8, -25, -35, -8, -30]]?

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


[User]
Determine the rank of the following matrix:
[[5, -17, -15, 3, 16],
 [36, 24, 24, 56, -20],
 [9, 18, 33, 13, -43],
 [5, -15, -49, -11, 34],
 [-25, -7, -20, -13, 61]]

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


[User]
What is the rank of the matrix:
[[-21, 22, 18, -2, 20],
 [-27, 24, 18, -12, 30],
 [-22, 24, 20, 0, 20],
 [6, -12, -12, -12, 0],
 [24, -18, -12, 18, -30]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, 22, -36, -10, 15],
 [32, 24, -16, -40, 44],
 [-14, -7, 2, 15, -16],
 [-4, 4, -8, 0, 1],
 [40, 16, 0, -40, 42]]

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


[User]
What is the rank of the matrix:
[[12, -24, -8, 16, -4],
 [2, 7, -2, -4, 6],
 [-3, -27, 4, 16, -19],
 [10, 2, -8, 0, 10],
 [-28, 34, 20, -24, -4]]?

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


[User]
What is the rank of the matrix:
[[36, 6, 16, -52, 38],
 [3, -26, -12, 19, -18],
 [35, 4, 40, -75, 62],
 [19, -24, 4, -13, 8],
 [42, -31, 12, -40, 27]]?

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


[User]
What is the rank of the matrix:
[[9, -13, 35, 35, -36],
 [34, 18, -8, -8, 11],
 [12, 14, -14, -14, 19],
 [11, 8, -15, -15, 11],
 [-20, 5, -20, -20, 25]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, 10, 20, -13, 18],
 [35, -20, 15, 5, 0],
 [-12, 2, -19, 0, 4],
 [19, -8, 11, 1, 1],
 [-18, 18, 9, -6, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -1, 1, -2, -6],
 [32, 17, 19, 6, -42],
 [40, 15, 21, 2, -54],
 [6, -14, -4, -14, -12],
 [-8, -23, -13, -18, 6]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, 15, -18, 9, -4],
 [22, -10, -12, 46, 24],
 [-9, 2, 6, -17, -8],
 [2, -3, 0, 6, 4],
 [-36, -15, 36, -48, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[54, -96, 6, -66, 0],
 [-22, 24, 2, 26, 6],
 [11, -30, 18, -35, 20],
 [7, -10, -3, -5, -2],
 [-23, 18, -6, 47, -12]]

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


[User]
What is the rank of the matrix:
[[-6, 1, 11, -10, 14],
 [-8, -28, 0, -6, 4],
 [4, -6, -10, 8, -12],
 [-8, -20, 4, -8, 8],
 [0, 4, 2, -1, 2]]?

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


[User]
What is the rank of the matrix:
[[12, -30, 24, 3, -45],
 [-15, 22, 2, -2, 45],
 [-7, -31, 6, -15, -39],
 [30, 33, 24, 39, 36],
 [-40, -33, -28, -47, -30]]?

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


[User]
Calculate the rank of matrix A where A =
[[-12, -60, 33, 9, -7],
 [7, 40, -10, -16, 19],
 [31, 37, -11, -9, -1],
 [46, 46, -32, -4, 32],
 [-7, -7, -41, 23, 41]]

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


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

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


[User]
Find the rank of the matrix:
[[8, 22, 26, 59, 36],
 [-10, -15, 25, 36, -4],
 [-6, 5, -29, -40, -6],
 [-29, -29, 20, 41, -23],
 [-5, 5, 2, -45, 29]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 16, -4, -8, 16],
 [-12, 16, -4, -8, 16],
 [0, 0, 0, 0, 0],
 [9, -12, 3, 6, -12],
 [15, -20, 5, 10, -20]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-25, -42, 50, -36, -53],
 [5, -19, 41, -19, -16],
 [28, -7, 15, -32, -26],
 [14, -4, 8, -1, 2],
 [-20, 2, -14, 14, 6]]

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


[User]
Determine the rank of the following matrix:
[[8, 14, 1, 20, 18],
 [-4, 4, -6, 45, 35],
 [-12, -10, 15, -32, -18],
 [12, 18, 3, 15, 15],
 [-20, 0, 2, 68, 60]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 28, 25, 27, 39],
 [-3, -24, -21, -21, -33],
 [-5, -4, -2, 4, -4],
 [15, 0, -5, -25, -5],
 [8, 28, 23, 17, 37]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 36, 8, -8, 16],
 [28, -12, 22, 20, -16],
 [42, -18, 33, 30, -24],
 [-15, 15, -9, -12, 12],
 [17, 7, 18, 10, -4]]

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


[User]
Determine the rank of the following matrix:
[[12, -15, -18, 12, 9],
 [-8, 10, 12, -8, -6],
 [8, -10, -12, 8, 6],
 [20, -25, -30, 20, 15],
 [-24, 30, 36, -24, -18]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 13, -13, -17, 15],
 [2, -4, -19, 7, -17],
 [-8, 4, -20, -4, -4],
 [10, -9, -7, 13, -19],
 [0, -2, -16, 4, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -9, 6, 6, 15],
 [6, 9, -6, -6, -15],
 [8, 12, -8, -8, -20],
 [-8, -12, 8, 8, 20],
 [-8, -12, 8, 8, 20]]

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


[User]
Find the rank of the matrix:
[[12, 4, -2, -6, -12],
 [24, 8, -4, -12, -24],
 [6, 2, -1, -3, -6],
 [-18, -6, 3, 9, 18],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[-2, 11, -4, -8, -2],
 [6, -1, 0, -2, -4],
 [-34, 27, -8, -6, 16],
 [-10, -25, 10, 25, 15],
 [-52, 30, -8, 0, 28]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -10, 6, 21, 20],
 [19, -12, 2, 23, 36],
 [53, -22, 30, -9, -28],
 [3, 18, -18, -27, -12],
 [-11, 40, -50, -35, 12]]

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


[User]
What is the rank of the matrix:
[[9, -27, 24, 0, 6],
 [32, -26, 20, -42, -30],
 [20, -20, 16, -24, -16],
 [-23, 29, -24, 24, 14],
 [0, 0, 0, 0, 0]]?

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


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

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


[User]
What is the rank of the matrix:
[[1, -2, 4, 1, -6],
 [6, -12, 24, 6, -36],
 [-3, 6, -12, -3, 18],
 [-5, 10, -20, -5, 30],
 [0, 0, 0, 0, 0]]?

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


[User]
What is the rank of the matrix:
[[-2, -6, 5, 5, -21],
 [14, 21, 13, -2, 6],
 [-25, 7, 0, 13, 6],
 [6, 18, -15, -15, 63],
 [-45, -50, -25, 15, -30]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[3, 5, -1, 1, -2],
 [9, 15, -3, 3, -6],
 [0, 0, 0, 0, 0],
 [-6, -10, 2, -2, 4],
 [18, 30, -6, 6, -12]]

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


[User]
What is the rank of the matrix:
[[14, -8, -14, -4, -22],
 [-65, 62, 73, -14, 17],
 [-9, 3, 5, -20, -37],
 [-9, -3, 4, -5, 0],
 [-20, 26, 28, 12, 40]]?

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-16, -24, -16, -24, 24],
 [-16, -24, -16, -24, 24],
 [16, 24, 16, 24, -24],
 [-16, -24, -16, -24, 24]]?

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


[User]
Calculate the rank of matrix A where A =
[[8, 0, 6, 4, -8],
 [13, -15, 6, -21, -28],
 [25, -15, 15, -15, -40],
 [-6, -6, -6, -14, 0],
 [24, -12, 15, -10, -36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -33, 42, -15, 30],
 [36, -6, -4, -42, -12],
 [-36, -39, 54, -3, 42],
 [-6, -5, -3, -26, 22],
 [30, -14, 17, -17, -20]]

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


[User]
What is the rank of the matrix:
[[4, -12, 11, -17, -22],
 [-20, -14, 29, 6, -5],
 [-44, 20, 20, -25, -6],
 [0, -10, 15, -35, -35],
 [12, -12, -3, 33, 18]]?

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


[User]
Calculate the rank of matrix A where A =
[[32, 24, 36, -6, -28],
 [50, 30, 54, 3, -46],
 [-32, -24, -36, 6, 28],
 [-40, -20, -42, -9, 38],
 [26, 2, 24, 24, -28]]

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


[User]
Determine the rank of the following matrix:
[[-21, 33, -31, 35, -6],
 [-14, -14, 21, -66, -52],
 [-42, -25, 29, -28, -47],
 [9, 3, 10, -11, 6],
 [-27, 36, -47, 51, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, 10, 16, -10, -33],
 [14, -8, -8, -2, -7],
 [-5, -13, -22, -34, -23],
 [-45, 16, 10, -12, 13],
 [-73, 17, 2, -38, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[24, 2, -12, -12, 22],
 [0, 20, 24, 0, 4],
 [4, -23, -30, -2, -1],
 [-12, -16, -12, 6, -14],
 [8, -11, -18, -4, 5]]

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


[User]
Determine the rank of the following matrix:
[[-27, -26, 31, 7, 2],
 [0, -3, 40, 7, -14],
 [-18, -18, -7, -21, 6],
 [-16, -14, -24, -18, 4],
 [17, 14, 25, 15, 14]]

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


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

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


[User]
Determine the rank of the following matrix:
[[13, 14, -24, 15, -22],
 [-36, -21, 39, 15, 27],
 [-3, 12, -18, 45, -24],
 [-7, 6, -8, 35, -14],
 [-33, -22, 40, 5, 30]]

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


[User]
What is the rank of the matrix:
[[17, 18, 1, -23, 13],
 [18, -10, 21, -22, 5],
 [-15, 6, -11, 13, -3],
 [-30, -6, -19, 38, -15],
 [-6, 8, -20, 18, -4]]?

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


[User]
Find the rank of the matrix:
[[5, 10, -25, 30, -20],
 [6, 12, -30, 36, -24],
 [1, 2, -5, 6, -4],
 [4, 8, -20, 24, -16],
 [-3, -6, 15, -18, 12]]

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


[User]
Find the rank of the matrix:
[[14, 42, -4, 8, -18],
 [5, -29, -14, 6, 3],
 [12, -36, -24, 12, 0],
 [11, 37, -2, 6, -15],
 [-26, -6, 28, -20, 18]]

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


[User]
Determine the rank of the following matrix:
[[-27, 14, -23, -1, -35],
 [-39, -72, -25, 33, 5],
 [-21, -50, -15, 33, 34],
 [-6, 7, -32, 14, 28],
 [63, 20, 40, -22, 41]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 2, 4, 7, -18],
 [-10, -9, -3, -9, -24],
 [4, -3, -3, -6, 6],
 [-26, -8, 2, -1, -54],
 [-10, 35, 25, 55, 0]]

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


[User]
What is the rank of the matrix:
[[-15, 25, -42, -35, 32],
 [22, -3, 42, 2, -16],
 [1, 18, -18, -25, 38],
 [23, 1, 9, -1, -12],
 [-21, -24, -3, 37, 42]]?

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


[User]
Calculate the rank of matrix A where A =
[[27, 58, 21, 41, 9],
 [23, 40, 1, 31, -53],
 [52, 41, 13, 51, -6],
 [-15, 38, 22, 7, 36],
 [-9, -19, -24, -30, 8]]

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


[User]
What is the rank of the matrix:
[[17, 21, -11, -13, 11],
 [12, 14, -2, -10, -26],
 [25, 30, -10, -20, -20],
 [37, 45, -19, -29, -5],
 [-10, -13, 11, 7, -33]]?

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


[User]
Determine the rank of the following matrix:
[[-36, 54, -14, 21, -20],
 [9, -12, -3, -18, -3],
 [60, -72, 30, -6, -18],
 [8, 4, 0, -38, 44],
 [-9, 6, 7, 21, 25]]

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


[User]
What is the rank of the matrix:
[[-18, 4, 4, -10, 12],
 [-3, -30, 11, 18, -26],
 [-26, 27, 10, -36, 23],
 [-2, -26, 12, 14, -26],
 [-2, -9, 15, -3, -21]]?

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


[User]
Find the rank of the matrix:
[[-19, -4, -18, -46, -6],
 [15, -8, -6, -31, 16],
 [-33, 3, -30, -22, -29],
 [13, -1, 30, -3, 17],
 [-12, 8, 0, 35, -18]]

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[User]
What is the rank of the matrix:
[[-54, 49, -38, 0, -41],
 [-8, 8, -6, 0, -12],
 [-56, 50, -39, 0, -36],
 [-20, 14, -12, 0, 18],
 [28, -26, 20, 0, 26]]?

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


[User]
Determine the rank of the following matrix:
[[23, 4, 8, 9, 1],
 [-42, -48, 12, -18, 6],
 [-1, 10, -7, 0, -2],
 [-40, -42, 9, -17, 5],
 [-18, -2, -7, -7, -1]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-28, 2, 54, 27, -43],
 [-22, 11, -49, -7, -2],
 [-46, 18, 33, -31, 34],
 [-22, -46, 8, -19, 10],
 [-22, 46, 53, -9, 20]]

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


[User]
Determine the rank of the following matrix:
[[26, -13, -6, 41, 47],
 [-26, -47, 7, -33, -33],
 [-47, -18, -30, 11, -18],
 [-27, 34, -58, 45, 28],
 [0, 24, 18, -9, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 1, 0, 4, 5],
 [-6, -2, 0, -8, -10],
 [-9, -3, 0, -12, -15],
 [-15, -5, 0, -20, -25],
 [9, 3, 0, 12, 15]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 1, -6, 1, 2],
 [-14, 40, 12, -14, -4],
 [1, -36, 6, 9, -2],
 [-5, 6, 6, -3, -2],
 [0, 0, 0, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-27, -23, -35, -25, -10],
 [-29, -14, 29, -12, 24],
 [5, 32, -20, -18, 19],
 [-5, -1, 3, 11, -8],
 [-20, -34, -12, -22, -4]]

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


[User]
What is the rank of the matrix:
[[20, -15, 7, -21, 24],
 [-42, 19, -34, 32, 28],
 [-15, 11, -14, 10, 26],
 [-30, 14, -21, 25, 4],
 [-11, -34, -23, 1, 18]]?

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[User]
Calculate the rank of matrix A where A =
[[4, -26, 35, -21, 24],
 [-40, 40, -75, 23, -46],
 [-9, 1, -22, -48, 11],
 [-41, 11, -17, 57, -41],
 [-13, 10, -18, -19, -12]]

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


[User]
Find the rank of the matrix:
[[19, 10, 38, -21, 4],
 [9, -3, 18, 28, 38],
 [30, -43, 27, 40, 26],
 [26, -26, 32, 29, 29],
 [34, -44, 28, 4, -14]]

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


[User]
Determine the rank of the following matrix:
[[14, -34, -24, -25, -71],
 [37, 40, 47, 10, 1],
 [-20, -14, 3, 19, 36],
 [-8, 10, 1, -4, 23],
 [7, 16, 11, -27, 12]]

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[User]
Calculate the rank of matrix A where A =
[[10, 0, -30, -46, 32],
 [-13, 28, 39, 15, -8],
 [12, -32, -36, -4, 0],
 [9, 6, -27, -51, 36],
 [-11, 6, 33, 41, -28]]

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


[User]
What is the rank of the matrix:
[[-20, 0, -20, -20, 4],
 [-6, 18, 0, -3, 12],
 [21, 12, 25, 23, 3],
 [9, 48, 25, 17, 27],
 [-7, -24, -15, -11, -13]]?

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[User]
Find the rank of the matrix:
[[-5, -1, 16, -8, 43],
 [30, 13, 3, -19, 26],
 [-8, 1, 23, -7, 48],
 [9, -36, -14, -34, 55],
 [-36, -13, -18, 18, 16]]

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[User]
Calculate the rank of matrix A where A =
[[39, -1, 1, 72, 25],
 [-21, 5, 7, -8, -25],
 [10, -2, 3, -10, 40],
 [-25, 5, 6, -14, -31],
 [15, -1, -5, 36, -11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, -2, -3, -19, -15],
 [9, 13, -3, -16, -15],
 [36, 11, -6, -35, -30],
 [13, -4, -1, -7, -5],
 [35, -36, 1, -1, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -10, -15, -5, -2],
 [17, 12, -18, -16, 8],
 [-29, -20, 32, 28, -14],
 [-8, -16, -18, 0, -18],
 [-22, -12, 34, 30, -24]]

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


[User]
Determine the rank of the following matrix:
[[15, 3, -6, 18, 0],
 [-10, -2, 4, -12, 0],
 [30, 6, -12, 36, 0],
 [-20, -4, 8, -24, 0],
 [-5, -1, 2, -6, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -20, -25, -15, 30],
 [18, 24, 6, 12, 0],
 [4, -8, -22, -9, 30],
 [-1, 4, 9, 4, -12],
 [-3, 12, 27, 12, -36]]

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


[User]
What is the rank of the matrix:
[[-9, -5, -3, -3, 14],
 [-12, 4, -20, 12, -8],
 [-24, -24, 1, 3, -19],
 [4, -6, 9, 7, -41],
 [-3, 23, -31, 9, 26]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 12, 26, 39, -32],
 [-20, 44, -32, 2, 14],
 [-1, -34, -12, -49, 48],
 [-17, -9, 53, -9, -53],
 [55, -25, -45, 23, 31]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 24, 20, -8, 16],
 [12, 24, 20, -8, 16],
 [15, 30, 25, -10, 20],
 [18, 36, 30, -12, 24],
 [-3, -6, -5, 2, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 16, 12, 25, 16],
 [5, 35, -3, 35, 8],
 [-25, 14, 8, 0, 44],
 [25, 22, -4, 35, -20],
 [-25, -45, 9, -55, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[13, -18, 54, -42, 34],
 [-32, 34, 4, -32, 29],
 [36, -32, 24, 24, -4],
 [33, -38, -26, -4, -37],
 [-52, 27, -2, -11, -2]]

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


[User]
Find the rank of the matrix:
[[-6, -36, 30, -18, 18],
 [0, 0, 0, 0, 0],
 [-3, -18, 15, -9, 9],
 [0, 0, 0, 0, 0],
 [6, 36, -30, 18, -18]]

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


[User]
Find the rank of the matrix:
[[-30, 6, 24, -24, 6],
 [20, -4, -16, 16, -4],
 [-15, 3, 12, -12, 3],
 [-15, 3, 12, -12, 3],
 [-20, 4, 16, -16, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, -30, -30, 30, -30],
 [12, -15, -15, 15, -15],
 [-16, 20, 20, -20, 20],
 [-8, 10, 10, -10, 10],
 [-24, 30, 30, -30, 30]]

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


[User]
Find the rank of the matrix:
[[12, -6, 18, 0, -6],
 [-4, 2, -6, 0, 2],
 [-8, 4, -12, 0, 4],
 [-4, 2, -6, 0, 2],
 [-8, 4, -12, 0, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -4, -15, 0, -33],
 [0, 0, -3, 2, -5],
 [18, 6, -3, 17, 7],
 [-18, -6, -15, -5, -37],
 [-18, -6, 9, -21, 3]]

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


[User]
Determine the rank of the following matrix:
[[30, -28, -4, -4, 9],
 [49, -33, 7, -3, -10],
 [-11, 45, 20, 21, -33],
 [19, -3, -18, -43, 28],
 [45, 42, 1, -39, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 17, -32, -58, 2],
 [55, -45, -5, 32, -7],
 [-44, 35, 15, -6, 3],
 [-18, -12, 12, -3, 6],
 [70, -42, -12, 21, -18]]

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


[User]
Find the rank of the matrix:
[[-17, 13, -35, -10, 42],
 [-5, 25, -25, -20, 30],
 [29, 35, 20, -29, -24],
 [41, 11, 55, -10, -66],
 [20, 44, 0, -36, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -16, 12, -24, 16],
 [24, 28, 18, -6, -40],
 [27, -6, 24, -33, 0],
 [-36, 8, -32, 44, 0],
 [-30, 20, -28, 46, -16]]

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


[User]
Determine the rank of the following matrix:
[[-3, 0, 3, -2, -5],
 [-18, 0, 18, -12, -30],
 [-3, 0, 3, -2, -5],
 [6, 0, -6, 4, 10],
 [9, 0, -9, 6, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 0, 20, 30, 35],
 [11, -78, 38, 6, -25],
 [-4, 54, -16, 30, -1],
 [6, -9, 19, 42, -15],
 [9, -39, 33, 24, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[39, 6, -59, -62, -46],
 [24, -17, -30, -69, -16],
 [54, 17, 12, -22, -57],
 [-45, -47, -9, -2, 57],
 [52, 75, 34, -9, -59]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -26, -61, -32, -71],
 [47, 35, 21, 30, 40],
 [-25, -19, -21, 18, 16],
 [-8, -11, -7, -14, -14],
 [0, -1, -2, 20, 29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, 12, 8, -14, 14],
 [-12, 12, 12, -2, 4],
 [-3, 18, 24, 15, -9],
 [1, 24, 34, 26, -17],
 [6, -6, -6, 1, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -7, -17, 16, -27],
 [24, -12, -18, 24, -30],
 [12, 9, -19, -8, -25],
 [24, 6, -30, 0, -42],
 [-4, -4, 7, 4, 9]]

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


[User]
What is the rank of the matrix:
[[-18, 6, -24, -24, 30],
 [18, -6, 24, 24, -30],
 [6, -2, 8, 8, -10],
 [6, -2, 8, 8, -10],
 [-12, 4, -16, -16, 20]]?

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


[User]
Determine the rank of the following matrix:
[[17, 14, 7, 9, -6],
 [-11, -10, -13, 13, 18],
 [-24, -18, 6, -48, -18],
 [13, 12, 17, -19, -24],
 [19, 14, -7, 43, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[37, -2, -23, -14, -40],
 [18, 18, -29, 8, -15],
 [-12, -16, 24, -8, 20],
 [-4, 24, -24, 18, -40],
 [2, 28, -28, 21, 0]]

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


[User]
What is the rank of the matrix:
[[-12, 0, 18, 15, 6],
 [-12, 0, 18, 15, 6],
 [-8, 0, 12, 10, 4],
 [-16, 0, 24, 20, 8],
 [8, 0, -12, -10, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, -43, 44, -3, -47],
 [3, 44, -40, 51, 64],
 [-29, -22, -11, 36, -1],
 [15, 10, 13, 8, 7],
 [21, 28, -11, -44, 9]]

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


[User]
Determine the rank of the following matrix:
[[8, 10, -6, 2, -4],
 [32, 6, -22, -14, -4],
 [-4, 12, 2, 10, -4],
 [-24, 21, 15, 27, -6],
 [-10, -4, 7, 3, 2]]

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


[User]
Determine the rank of the following matrix:
[[10, -4, -8, 0, 12],
 [10, -4, -8, 0, 12],
 [25, -10, -20, 0, 30],
 [-10, 4, 8, 0, -12],
 [15, -6, -12, 0, 18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, -2, 10, -4, -8],
 [20, -4, 20, -8, -16],
 [25, -5, 25, -10, -20],
 [25, -5, 25, -10, -20],
 [30, -6, 30, -12, -24]]

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


[User]
Determine the rank of the following matrix:
[[9, -4, -1, -2, -14],
 [21, -24, 27, -30, -6],
 [5, -12, 19, -18, 10],
 [-10, -9, 28, -21, 40],
 [-9, -7, 23, -17, 34]]

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


[User]
Calculate the rank of matrix A where A =
[[30, -20, 0, -15, -10],
 [-12, 8, 0, 6, 4],
 [24, -16, 0, -12, -8],
 [-6, 4, 0, 3, 2],
 [36, -24, 0, -18, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 14, -8, -5, 20],
 [-18, 7, 16, -17, -2],
 [18, 31, -8, -30, 22],
 [-44, -32, 32, 13, -38],
 [-34, -25, 28, 4, -37]]

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


[User]
What is the rank of the matrix:
[[9, 4, -10, -7, -3],
 [27, 14, -32, -17, -6],
 [-42, -18, 46, 34, 15],
 [30, 8, -28, -34, -18],
 [36, 14, -38, -32, -15]]?

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


[User]
What is the rank of the matrix:
[[-24, 36, 30, 0, -12],
 [4, -6, -5, 0, 2],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [20, -30, -25, 0, 10]]?

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


[User]
Find the rank of the matrix:
[[18, -28, 16, -26, -24],
 [26, -12, 0, 14, -24],
 [37, -22, 4, 11, -36],
 [-37, 22, -4, -11, 36],
 [24, -32, 17, -25, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 5, 6, 1, 4],
 [5, -5, -6, -1, -4],
 [0, 0, 0, 0, 0],
 [-5, 5, 6, 1, 4],
 [-30, 30, 36, 6, 24]]

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


[User]
Determine the rank of the following matrix:
[[20, -32, -16, 8, -24],
 [52, -40, -42, 51, -19],
 [7, -27, 26, 25, 3],
 [-2, -36, 40, 12, -4],
 [-1, 4, -8, -8, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[22, 25, -16, -31, -4],
 [11, -11, 8, -29, -9],
 [58, 40, 11, -19, -26],
 [18, -22, 7, -69, -14],
 [-27, 0, -24, 6, 19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, -33, 20, 4, -6],
 [-19, -19, 11, -6, -23],
 [-3, -52, 37, -28, -41],
 [-20, -1, -18, 20, -29],
 [-2, 23, 7, -12, 43]]

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