[User]
Calculate the rank of matrix A where A =
[[-42, -33, 12, 30, 3],
 [44, 26, -13, -31, 2],
 [-10, -25, 2, 8, 11],
 [32, -12, -11, -21, 20],
 [18, -3, -6, -12, 9]]

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


[User]
Determine the rank of the following matrix:
[[-12, 10, -15, -16, 19],
 [-45, 25, 33, 11, -8],
 [-15, 15, 3, -9, 12],
 [-6, -14, -54, -16, 16],
 [36, 14, 45, -2, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-37, 5, 21, -9, -5],
 [10, -10, -8, -10, -12],
 [0, 12, -8, 20, 36],
 [-14, 23, -28, 31, 12],
 [-50, 4, 24, -18, -43]]

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


[User]
Determine the rank of the following matrix:
[[-18, -21, -41, -7, -30],
 [-6, 53, 73, -29, 60],
 [15, 5, 14, 15, 12],
 [-49, 26, 5, -50, 18],
 [37, -10, 11, 32, -3]]

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


[User]
Find the rank of the matrix:
[[9, -4, 12, -24, -1],
 [-37, -13, -36, -6, 14],
 [1, -18, 15, -22, 1],
 [-23, -2, -42, 12, 12],
 [35, -25, 42, -18, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, -29, -35, -17, 15],
 [20, 2, 4, -1, -14],
 [-32, -22, -7, -34, 18],
 [-33, -13, -24, 2, 23],
 [2, 22, 46, -8, -2]]

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


[User]
What is the rank of the matrix:
[[50, 19, 2, -13, -35],
 [-13, -24, -45, -5, -38],
 [75, 43, 51, -46, 20],
 [20, 7, -12, 21, -45],
 [-35, -37, -59, 4, -40]]?

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


[User]
What is the rank of the matrix:
[[3, 28, -45, 0, -39],
 [20, 32, -28, 7, -30],
 [0, 0, -22, -13, -2],
 [47, 4, 7, 41, -17],
 [-45, -12, -26, -43, 11]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, -40, -18, 11, -6],
 [-7, 40, 18, -11, 6],
 [18, -17, 12, 2, -11],
 [5, -18, -7, 7, -4],
 [30, 37, 54, 2, -17]]

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


[User]
Find the rank of the matrix:
[[-27, -4, 16, 13, -9],
 [6, 21, 17, -1, -9],
 [-3, 32, -29, 28, -23],
 [-19, 52, -8, 21, -33],
 [10, -59, 23, -15, 31]]

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


[User]
What is the rank of the matrix:
[[1, -6, 31, -64, -2],
 [48, 52, -6, -20, -40],
 [-25, -19, -19, 36, 21],
 [74, 68, 2, 8, -60],
 [-13, -20, 26, -42, 10]]?

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


[User]
What is the rank of the matrix:
[[25, -1, -38, 3, 37],
 [-35, -1, 42, 3, -43],
 [11, 1, -10, -3, 11],
 [5, 7, 26, -21, -19],
 [-25, -11, -18, 33, 7]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 37, 11, 7, 46],
 [-18, -52, -32, 8, -36],
 [-77, -1, 21, -41, -31],
 [-28, 26, 25, -31, 8],
 [-7, 1, 9, 17, -20]]

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


[User]
Determine the rank of the following matrix:
[[0, -24, -4, -24, -16],
 [0, 0, 0, 0, 0],
 [0, 18, 3, 18, 12],
 [0, -18, -3, -18, -12],
 [0, -12, -2, -12, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -14, 21, 5, -37],
 [-23, -66, 45, -54, -36],
 [-4, -58, 66, -42, -86],
 [17, 12, -11, 24, 6],
 [64, -20, 12, 46, -34]]

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

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


[User]
Determine the rank of the following matrix:
[[4, -5, 1, -6, -14],
 [-28, 28, -23, -14, 3],
 [-5, 9, 45, 0, -35],
 [27, -37, 41, -9, -17],
 [5, -1, 5, 13, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 24, 18, -6, -6],
 [1, 22, 22, -11, -11],
 [2, -4, 8, -10, -10],
 [1, -10, -2, -3, -3],
 [-2, 24, 7, 5, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 6, 54, 8, -14],
 [4, -12, 58, -38, -20],
 [28, -5, -50, 0, 27],
 [-34, -44, -44, 16, 40],
 [-33, 9, 62, 57, 21]]

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[User]
Calculate the rank of matrix A where A =
[[-24, -35, -50, -1, -13],
 [-28, 0, -13, 7, -45],
 [-20, -37, -28, 23, -17],
 [34, -3, 0, -33, 37],
 [-29, 8, -37, -36, -57]]

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


[User]
Find the rank of the matrix:
[[28, -20, 14, -20, -14],
 [19, -8, 16, 5, -16],
 [36, -36, 6, -60, -6],
 [-25, 14, -17, 5, 17],
 [15, -6, 13, 5, -13]]

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


[User]
Determine the rank of the following matrix:
[[-25, 30, -20, -25, -10],
 [5, -6, 4, 5, 2],
 [-10, 12, -8, -10, -4],
 [5, -6, 4, 5, 2],
 [-30, 36, -24, -30, -12]]

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


[User]
What is the rank of the matrix:
[[6, -6, 0, 15, -3],
 [-11, 2, -18, -5, -17],
 [-8, -4, -24, 10, -26],
 [42, -24, 36, 60, 24],
 [21, -12, 18, 30, 12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[32, -40, 2, 12, 12],
 [-27, 16, 19, -18, 12],
 [-17, -10, 35, -18, 30],
 [-17, 40, -21, -10, -16],
 [8, 14, -24, -8, -2]]

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


[User]
What is the rank of the matrix:
[[0, 42, -7, -1, 24],
 [9, -1, -5, 15, -10],
 [-16, -38, 23, -52, 21],
 [-17, 3, 11, -21, 22],
 [-12, 30, 5, -7, 34]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 4, 10, -12, 2],
 [-6, -2, -5, 6, -1],
 [24, 8, 20, -24, 4],
 [0, 0, 0, 0, 0],
 [18, 6, 15, -18, 3]]

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


[User]
Find the rank of the matrix:
[[38, -2, 31, 7, -50],
 [34, -31, 24, 22, -18],
 [10, -25, 8, 18, 14],
 [22, -43, 18, 32, 18],
 [-9, -24, -5, 17, 43]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, -5, -6, 2, -5],
 [10, 25, 30, -10, 25],
 [-2, -5, -6, 2, -5],
 [-6, -15, -18, 6, -15],
 [-2, -5, -6, 2, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, -27, -41, -52, 28],
 [-39, -42, -1, 18, 5],
 [14, -33, -14, 31, -34],
 [-27, -3, 11, 2, 14],
 [49, 21, -17, -20, -12]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [16, 16, 4, -12, -20],
 [20, 20, 5, -15, -25],
 [16, 16, 4, -12, -20],
 [0, 0, 0, 0, 0]]?

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


[User]
Determine the rank of the following matrix:
[[-3, 5, 31, -1, 25],
 [6, -3, -6, -12, 6],
 [-2, 6, 42, -6, 38],
 [7, -1, 13, -19, 27],
 [1, -3, -21, 3, -19]]

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


[User]
Find the rank of the matrix:
[[32, 16, 10, 1, -10],
 [-18, 20, -8, 7, -2],
 [23, -2, -13, 37, -40],
 [-24, -25, -14, 10, -2],
 [37, 23, 21, -16, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[20, 30, 30, 30, 25],
 [-14, -40, -28, -30, -40],
 [-21, -22, -28, -27, -15],
 [23, 6, 24, 21, -5],
 [-37, -8, -38, -33, 10]]

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


[User]
Find the rank of the matrix:
[[-2, 8, -2, 1, 18],
 [2, 7, -4, -1, 18],
 [-30, 15, 12, 15, 18],
 [26, -14, -10, -13, -18],
 [42, -38, -10, -21, -66]]

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


[User]
Calculate the rank of matrix A where A =
[[-34, 21, 14, 1, 17],
 [20, 3, 22, -6, 32],
 [33, -17, 33, 22, 34],
 [-8, 12, 0, 6, -4],
 [-54, -30, -6, 3, -6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[5, 0, 4, -3, -2],
 [-20, 10, -4, 6, 14],
 [-10, -10, -20, 12, -2],
 [20, -15, -2, -3, -17],
 [-25, 10, -8, 9, 16]]

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


[User]
Determine the rank of the following matrix:
[[-6, -4, 10, -4, 8],
 [-15, -10, 25, -10, 20],
 [6, 4, -10, 4, -8],
 [-15, -10, 25, -10, 20],
 [12, 8, -20, 8, -16]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 10, -15, -6, -12],
 [17, -10, -15, -2, 6],
 [18, -20, 30, 12, 24],
 [19, -6, -42, -10, -3],
 [37, -26, -12, 2, 21]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -2, 27, 10, 6],
 [28, 28, -36, 4, 6],
 [-30, -30, -13, -26, -20],
 [20, 20, -23, 4, 5],
 [18, 18, -34, -2, 1]]

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


[User]
Find the rank of the matrix:
[[45, -5, -35, -11, 1],
 [-1, 61, 1, 31, -49],
 [-17, 39, 15, 6, -43],
 [-26, 18, -6, 9, 8],
 [-16, 30, 12, 25, -18]]

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


[User]
What is the rank of the matrix:
[[-6, 14, 13, -46, -42],
 [18, -10, -34, -24, -27],
 [6, -11, -46, 19, 27],
 [9, -24, -20, -32, 7],
 [-14, 41, 47, 17, -40]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 13, 10, -4, -6],
 [4, -5, -18, -28, 36],
 [-62, 25, -24, -33, -58],
 [27, 25, 52, 40, -27],
 [-53, 23, -8, -16, -53]]

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


[User]
What is the rank of the matrix:
[[18, -9, 9, -9, -2],
 [18, -15, 15, -9, 3],
 [24, -26, 26, -12, 9],
 [-30, -35, 35, 15, 45],
 [24, -8, 8, -12, -6]]?

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


[User]
What is the rank of the matrix:
[[6, -9, 0, -3, 12],
 [-35, 25, -15, -15, -10],
 [-20, 8, -12, -16, 8],
 [-25, 21, -9, -7, -14],
 [-22, 11, -12, -15, 4]]?

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


[User]
Find the rank of the matrix:
[[4, 11, -1, 11, 1],
 [-9, -36, 18, -35, 0],
 [21, 16, 28, -24, -27],
 [-7, -9, -9, 16, 29],
 [-3, 28, 4, 7, -74]]

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


[User]
Determine the rank of the following matrix:
[[-10, 0, 52, 16, -10],
 [1, 2, 32, 20, -20],
 [48, -38, 6, 39, -42],
 [-34, 48, -36, -2, 20],
 [12, -16, -2, 44, -7]]

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


[User]
Find the rank of the matrix:
[[45, 7, -21, -20, 50],
 [21, -39, -7, 38, -17],
 [24, 30, 10, -26, 23],
 [37, -6, -3, 5, 13],
 [3, 11, 3, -10, 7]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, 1, 16, -19, 5],
 [51, -54, 0, 24, -27],
 [1, -22, 8, 28, 15],
 [-48, 38, 14, -18, 36],
 [-60, 74, -4, -42, 24]]

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


[User]
What is the rank of the matrix:
[[15, 25, -24, 18, -20],
 [-9, -3, 12, -18, 12],
 [-24, -7, -41, 27, -26],
 [-8, 17, 31, -53, 30],
 [-21, 14, -49, 21, -30]]?

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


[User]
Calculate the rank of matrix A where A =
[[-16, -10, 1, 9, -13],
 [0, -26, 8, 38, -28],
 [3, -39, 29, 25, -13],
 [-8, 6, -11, 45, -33],
 [18, 26, -24, 18, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 10, 12, 0, 8],
 [-2, 5, 6, 0, 4],
 [12, -30, -36, 0, -24],
 [6, -15, -18, 0, -12],
 [8, -20, -24, 0, -16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[6, -27, -3, -24, 12],
 [-2, -4, 1, -2, 3],
 [6, 25, -3, 16, -16],
 [14, -24, -7, -26, 7],
 [36, -6, -18, -24, -12]]

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


[User]
Find the rank of the matrix:
[[0, 3, 4, -6, -2],
 [6, 3, -1, -3, -4],
 [-8, -8, -4, 12, 8],
 [-8, 4, 12, -12, 0],
 [36, 0, -30, 18, -12]]

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


[User]
Determine the rank of the following matrix:
[[2, 28, -26, -30, 18],
 [-2, 8, -6, -10, 6],
 [18, 28, -22, -28, 2],
 [0, 24, -2, -37, 0],
 [17, 27, -27, -24, 7]]

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


[User]
Determine the rank of the following matrix:
[[-18, -15, 27, -6, 0],
 [-24, 0, -24, -48, -20],
 [6, 3, -3, 6, 2],
 [0, 2, -6, -4, -2],
 [-18, -11, 15, -14, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, 14, 47, 4, -47],
 [10, -16, 63, 33, -47],
 [-8, -21, -48, 14, 59],
 [-12, 20, 40, -24, -7],
 [8, -15, 13, 0, 25]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -13, -13, 16, 1],
 [3, 10, 4, -13, -12],
 [-48, 37, 63, 55, -27],
 [7, -34, -6, 5, -32],
 [-22, 20, 34, 36, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[27, 19, 33, 3, 15],
 [-17, 11, 7, -23, -5],
 [2, 25, -9, 3, 20],
 [14, -9, 17, 5, -4],
 [-8, -27, 13, -11, -26]]

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


[User]
Find the rank of the matrix:
[[40, -10, -33, 38, 6],
 [-21, -7, -8, -29, -19],
 [-44, 25, 38, -40, 4],
 [-8, -47, 17, -11, -71],
 [-43, -3, 65, -33, -11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[33, 2, 3, -5, -35],
 [16, -26, -12, -2, -4],
 [-20, 7, 2, 31, 16],
 [-21, 3, -54, -27, 6],
 [-6, -24, -32, 4, 12]]

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


[User]
What is the rank of the matrix:
[[8, 24, -8, -16, -24],
 [22, -18, -8, 12, -17],
 [12, -24, -2, 16, -1],
 [16, -24, -4, 16, -6],
 [22, -6, -10, 4, -24]]?

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


[User]
Find the rank of the matrix:
[[-15, -18, 60, -12, -90],
 [-36, 42, -7, -35, -18],
 [-51, 54, -12, -42, -18],
 [-1, 12, -19, -2, 24],
 [-7, 12, 23, -26, -48]]

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


[User]
Find the rank of the matrix:
[[-5, 3, 5, 0, -4],
 [20, -12, -20, 0, 16],
 [-20, 12, 20, 0, -16],
 [25, -15, -25, 0, 20],
 [-5, 3, 5, 0, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 32, -5, 2, -9],
 [-29, -22, -3, -8, -33],
 [-15, -30, -9, 2, -21],
 [-33, -7, 10, -17, -21],
 [-11, -17, -2, -1, -9]]

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


[User]
Determine the rank of the following matrix:
[[-23, 6, 28, -22, -29],
 [25, -38, -20, 43, 26],
 [12, 7, -13, -73, 17],
 [5, 14, 22, -1, 8],
 [26, -10, 14, -5, 31]]

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


[User]
What is the rank of the matrix:
[[-27, -13, -21, -12, 12],
 [28, 12, 16, 22, -26],
 [50, -11, 39, 32, -12],
 [7, 5, -3, 16, -24],
 [17, -15, 19, 5, 13]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[17, -23, 17, 31, 14],
 [15, -6, -34, -21, -17],
 [-15, 34, -18, -47, -15],
 [11, -8, 6, -18, 21],
 [31, 23, 25, -32, 18]]

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


[User]
Determine the rank of the following matrix:
[[-6, 0, -18, -12, 15],
 [10, 0, 30, 20, -25],
 [-8, 0, -24, -16, 20],
 [0, 0, 0, 0, 0],
 [-8, 0, -24, -16, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 33, 2, -18, 23],
 [9, 13, 16, -17, 23],
 [-54, 13, -18, 24, -21],
 [16, -34, 17, 19, -15],
 [7, -48, 20, 37, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [25, -41, 10, 21, 18],
 [-6, 16, -9, -9, -3],
 [16, -24, 4, 12, 12],
 [-11, -1, 16, 3, -12]]

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


[User]
Find the rank of the matrix:
[[-6, 6, -18, 6, 15],
 [-20, -8, 12, 4, 6],
 [-64, -25, 12, 26, 27],
 [4, -1, -4, 2, -3],
 [6, 15, -36, 6, 18]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 13, 4, 20, 21],
 [9, 41, 22, 0, -27],
 [-8, -20, -3, -26, -18],
 [10, 8, -21, 38, 14],
 [11, 41, 19, 18, -1]]

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


[User]
Determine the rank of the following matrix:
[[-10, -14, 8, 10, 22],
 [-17, -2, -16, 13, -22],
 [39, 12, 6, -51, -30],
 [13, -12, 4, -33, -24],
 [-40, -3, -9, 60, 34]]

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


[User]
Find the rank of the matrix:
[[5, -22, -38, -34, 16],
 [-2, -35, 16, 49, 15],
 [-33, -6, 42, -6, -48],
 [-19, -4, 29, 5, -27],
 [-13, -28, 9, 5, -7]]

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


[User]
Find the rank of the matrix:
[[9, 15, -15, -3, 12],
 [-15, -25, 25, 5, -20],
 [6, 10, -10, -2, 8],
 [-9, -15, 15, 3, -12],
 [-6, -10, 10, 2, -8]]

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


[User]
Find the rank of the matrix:
[[24, -12, 20, 8, 24],
 [-6, 3, -5, -2, -6],
 [-6, 3, -5, -2, -6],
 [24, -12, 20, 8, 24],
 [0, 0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[41, -42, 0, 17, -7],
 [44, -41, -24, -5, -19],
 [-5, 11, 13, -3, 2],
 [10, -7, 6, 27, 16],
 [-15, -1, -15, 5, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 18, 14, -4, -9],
 [6, 48, -20, 38, -32],
 [26, -2, 7, -13, -3],
 [15, 9, -14, 40, -24],
 [-33, 29, -60, 22, 19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -30, -2, 34, 5],
 [-10, -14, 8, -2, 0],
 [11, 30, -12, -23, -12],
 [26, 26, 22, -2, 33],
 [14, 6, 18, 10, 27]]

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


[User]
Find the rank of the matrix:
[[41, -58, 46, 54, -12],
 [-59, 2, -24, -46, 28],
 [-6, 40, 8, -8, 15],
 [3, -6, 10, 18, 10],
 [-24, 18, 20, 11, 45]]

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


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

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


[User]
What is the rank of the matrix:
[[5, -9, 48, -5, 17],
 [-1, 23, -13, -54, -15],
 [-52, 36, -24, -12, -14],
 [-5, -5, 31, -2, -2],
 [-1, -1, 8, 1, 4]]?

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


[User]
Find the rank of the matrix:
[[10, -36, 14, 14, 9],
 [-51, 20, 41, -29, 9],
 [-41, 0, 10, 1, 8],
 [-9, 78, -16, -43, -24],
 [-13, 2, -7, 1, -8]]

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


[User]
Find the rank of the matrix:
[[4, -4, 14, -16, 60],
 [6, 14, 1, 16, -30],
 [10, 22, 3, 24, -42],
 [-8, -8, -12, 0, -24],
 [-20, -30, -20, -20, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, 8, -8, 7, 4],
 [11, 8, 24, -3, -28],
 [-20, -8, -40, 8, 44],
 [-3, -12, -12, -3, 18],
 [-18, 0, -32, 10, 32]]

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


[User]
What is the rank of the matrix:
[[-25, -20, -15, 15, 25],
 [30, 24, 18, -18, -30],
 [20, 16, 12, -12, -20],
 [-30, -24, -18, 18, 30],
 [30, 24, 18, -18, -30]]?

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


[User]
What is the rank of the matrix:
[[3, -16, 16, 19, -20],
 [6, -23, 20, 26, -25],
 [-6, 5, 4, -2, -5],
 [6, -20, 16, 22, -20],
 [-6, -10, 24, 18, -30]]?

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


[User]
Determine the rank of the following matrix:
[[-5, 20, -20, 30, 15],
 [-9, 4, -8, -4, 1],
 [14, -24, 28, -26, -16],
 [-25, 36, -44, 34, 23],
 [-9, 4, -8, -4, 1]]

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


[User]
Determine the rank of the following matrix:
[[-2, 26, 59, -24, 6],
 [-16, -5, 13, -13, -8],
 [-12, -12, -51, 24, -18],
 [-26, 56, 63, -18, -18],
 [-33, 51, 35, -14, -28]]

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


[User]
What is the rank of the matrix:
[[16, 10, -10, 18, -26],
 [31, 22, -16, 36, -56],
 [22, 12, -16, 24, -32],
 [-19, -4, 22, -18, 14],
 [0, -14, -18, -6, 30]]?

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


[User]
Determine the rank of the following matrix:
[[30, 30, 0, 10, -5],
 [-12, -12, 0, -4, 2],
 [-24, -24, 0, -8, 4],
 [36, 36, 0, 12, -6],
 [36, 36, 0, 12, -6]]

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


[User]
Determine the rank of the following matrix:
[[-8, 6, 0, -12, -10],
 [-12, 9, 0, -18, -15],
 [-4, 3, 0, -6, -5],
 [-12, 9, 0, -18, -15],
 [8, -6, 0, 12, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 0, 10, 0, 25],
 [20, 0, 10, 0, 25],
 [8, 0, 4, 0, 10],
 [4, 0, 2, 0, 5],
 [-8, 0, -4, 0, -10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 12, 1, -21, -16],
 [11, 17, -2, -27, -28],
 [-8, 38, -10, -12, 10],
 [-37, -56, 1, 11, -15],
 [-50, -55, -4, 2, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -17, -27, 37, 39],
 [-38, -1, -35, 45, 67],
 [-6, 1, -30, 34, 42],
 [-19, 12, 11, -13, -1],
 [43, -22, 19, -21, -53]]

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


[User]
Find the rank of the matrix:
[[-18, 10, 31, 27, -5],
 [53, -20, 11, -57, -34],
 [10, 36, 35, -1, 6],
 [-10, 4, -1, 11, 6],
 [-47, 24, -19, 49, 40]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 6, 3, -12, 0],
 [20, 8, 4, -16, 0],
 [-15, -6, -3, 12, 0],
 [-5, -2, -1, 4, 0],
 [15, 6, 3, -12, 0]]

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


[User]
Find the rank of the matrix:
[[8, 15, 26, 5, -3],
 [10, 22, 17, -3, 4],
 [-4, 0, -38, -40, 14],
 [-8, -18, -16, 10, -2],
 [-12, -23, -38, -4, 4]]

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


[User]
What is the rank of the matrix:
[[2, -11, -13, -7, -29],
 [1, -18, 46, -10, -15],
 [4, 39, 9, 25, 50],
 [-12, -29, 13, -19, 2],
 [9, -13, 9, -7, -49]]?

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


[User]
Find the rank of the matrix:
[[-18, -11, 12, 11, 10],
 [-24, 42, 6, -42, -60],
 [18, -23, -6, 23, 34],
 [8, 3, -5, -3, -2],
 [26, -37, -8, 37, 54]]

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


[User]
Calculate the rank of matrix A where A =
[[15, -15, 27, 33, 18],
 [-4, 9, -5, -1, -15],
 [1, -10, 28, 36, 31],
 [5, 8, -5, 0, -28],
 [-25, 15, -3, 3, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[-41, 70, -26, -4, 19],
 [-27, 40, 8, 23, -18],
 [48, -10, -2, -3, 43],
 [55, -35, 19, 11, 16],
 [45, -15, -9, -13, 46]]

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


[User]
Determine the rank of the following matrix:
[[19, -5, 13, 33, 38],
 [15, -3, 6, 21, 24],
 [31, -5, 7, 37, 42],
 [12, 6, -33, -28, -34],
 [20, -4, 8, 28, 32]]

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


[User]
Find the rank of the matrix:
[[-20, 12, 20, -16, -24],
 [25, -15, -25, 20, 30],
 [0, 0, 0, 0, 0],
 [-25, 15, 25, -20, -30],
 [10, -6, -10, 8, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[37, -24, -36, 11, 6],
 [-12, -31, 6, -31, 34],
 [27, -43, -30, -10, 28],
 [-19, 50, 24, 21, -38],
 [6, -46, -12, -28, 40]]

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


[User]
Find the rank of the matrix:
[[7, -11, -12, -5, 8],
 [-19, -7, 11, -1, 24],
 [5, -19, -20, 0, 25],
 [54, -4, -51, -16, -25],
 [-78, 10, 80, -14, 39]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 3, -13, 12, -26],
 [-11, 6, -16, 14, -22],
 [-30, -18, 6, 0, -60],
 [16, 6, 2, -4, 32],
 [9, 9, -7, 4, 18]]

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


[User]
Determine the rank of the following matrix:
[[-2, -4, 9, -25, -10],
 [6, -14, 44, 9, 19],
 [-38, 21, 49, -7, -2],
 [-14, 10, -29, -16, -17],
 [18, 19, 44, 3, -5]]

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


[User]
Determine the rank of the following matrix:
[[28, 0, 4, -16, 12],
 [7, -14, -40, 27, 13],
 [30, 4, 16, -26, 10],
 [-33, 4, 7, 10, -17],
 [20, -16, -44, 24, 20]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 13, -6, -20, 10],
 [9, 11, 24, -25, 2],
 [-1, 9, -18, -10, 10],
 [-5, -7, -12, 15, -2],
 [6, 6, 18, -15, 0]]

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


[User]
Determine the rank of the following matrix:
[[12, 20, -16, -8, -16],
 [-7, -5, -24, 18, -8],
 [-8, -15, 19, 2, 15],
 [17, 20, 19, -28, -1],
 [36, 50, 2, -44, -22]]

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


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

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


[User]
Determine the rank of the following matrix:
[[6, -24, -29, 9, -38],
 [0, 24, 14, 0, 20],
 [-14, -18, 0, -14, -8],
 [36, -48, -34, 30, -28],
 [-5, 27, 9, -2, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [20, 8, -12, -20, 20],
 [5, 2, -3, -5, 5],
 [-30, -12, 18, 30, -30],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[-27, 39, -27, 19, -20],
 [-31, 48, -26, 21, -20],
 [5, -17, -26, -2, -9],
 [21, -42, -8, -12, 0],
 [-1, 9, 18, -1, 9]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[17, 9, 5, 23, -11],
 [47, -31, 45, -1, -43],
 [23, -69, 25, -29, -32],
 [-62, 50, -60, -22, 63],
 [2, 20, -12, -43, 14]]

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


[User]
Find the rank of the matrix:
[[13, -10, -35, 7, 11],
 [-23, -40, -5, 13, -1],
 [33, 15, -42, 0, 15],
 [-33, -15, 42, 0, -15],
 [21, 5, -32, 2, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[17, 4, -3, 19, 21],
 [-12, -1, 3, -14, -15],
 [-13, -45, -18, -1, -12],
 [-30, -18, 0, -30, -36],
 [-5, -34, -15, 5, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-35, -18, 14, -17, 27],
 [1, -12, -4, -8, -12],
 [23, 0, -48, 12, -13],
 [-20, -28, -12, -18, 6],
 [-29, -20, 12, -18, 17]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, 20, -40, 0, 12],
 [11, -15, 38, 4, -13],
 [3, 5, -6, 2, 1],
 [4, 0, 4, 2, -2],
 [13, -5, 22, 6, -9]]?

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


[User]
Find the rank of the matrix:
[[13, -37, -34, -18, 25],
 [14, -33, -21, 0, 20],
 [24, -24, 2, 2, 20],
 [19, 18, 18, -18, 1],
 [26, 35, 14, -57, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 9, 7, 2, 10],
 [-15, -6, -14, -6, -9],
 [-5, -9, -11, -4, -11],
 [-19, -9, -19, -8, -13],
 [3, -24, -20, -6, -27]]

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


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

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


[User]
What is the rank of the matrix:
[[-1, -29, -4, 23, -14],
 [4, -31, 0, -12, -1],
 [8, -8, -36, -15, -2],
 [3, 18, 4, -31, 15],
 [9, -27, -24, -24, 0]]?

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


[User]
Determine the rank of the following matrix:
[[-32, -54, -28, 32, -4],
 [-18, 13, 6, -20, 20],
 [16, -32, 8, 18, -25],
 [20, 4, 16, -4, -38],
 [-12, -15, -46, 36, 20]]

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


[User]
Find the rank of the matrix:
[[26, 30, 45, 7, -30],
 [18, 6, 21, -9, -18],
 [5, -26, -4, 21, 33],
 [-22, -22, -41, -31, 6],
 [-20, 10, -25, -45, -30]]

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


[User]
Determine the rank of the following matrix:
[[-12, 27, -30, 18, -12],
 [-8, 18, -20, 12, -8],
 [-19, 50, -55, 33, -22],
 [11, 26, -25, 15, -10],
 [-10, 8, -10, 6, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -6, 20, 23, -22],
 [6, -12, 15, 21, -19],
 [10, 0, 25, 25, -25],
 [-6, 12, -15, -21, 19],
 [-10, -36, -25, -7, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 35, -35, -6, -14],
 [17, 11, -11, -42, -20],
 [2, -14, 14, -12, 0],
 [-5, -30, 30, 0, 10],
 [19, 23, -23, -42, -24]]

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


[User]
Find the rank of the matrix:
[[-18, 36, -18, 36, -30],
 [9, -18, 9, -18, 15],
 [12, -24, 12, -24, 20],
 [-18, 36, -18, 36, -30],
 [-15, 30, -15, 30, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 10, -10, 0, -25],
 [18, 6, -6, 0, -15],
 [-36, -12, 12, 0, 30],
 [6, 2, -2, 0, -5],
 [-12, -4, 4, 0, 10]]

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


[User]
Find the rank of the matrix:
[[-24, -24, -24, -18, -18],
 [40, -12, -20, 1, -11],
 [-19, 17, 43, 10, 21],
 [23, -13, -39, -7, -18],
 [11, -54, -64, -28, -43]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -18, 6, -18, -18],
 [-6, -36, 12, -36, -36],
 [4, 24, -8, 24, 24],
 [6, 36, -12, 36, 36],
 [-4, -24, 8, -24, -24]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [2, -8, 10, 8, -12],
 [5, -20, 25, 20, -30],
 [-4, 16, -20, -16, 24],
 [-3, 12, -15, -12, 18]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 12, -4, -22, -4],
 [-18, 9, 12, 21, -24],
 [24, -18, -4, 8, 20],
 [12, -6, -8, -14, 16],
 [-18, 10, 10, 15, -22]]

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


[User]
Find the rank of the matrix:
[[4, -29, 8, -48, 36],
 [-16, -7, -23, -6, -12],
 [-22, 12, -24, 24, -38],
 [-1, -1, -6, 0, -1],
 [-27, -7, 17, -18, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[13, -41, 1, -3, 14],
 [-6, 30, 18, -6, -12],
 [9, -27, 3, -3, 9],
 [4, 10, 38, -16, -7],
 [-3, -9, -31, 13, 6]]

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


[User]
Determine the rank of the following matrix:
[[9, -33, 21, 6, -6],
 [-8, -29, 13, 8, 2],
 [49, 7, 13, -10, -22],
 [-19, -12, 0, 6, 8],
 [-20, -20, 4, 8, 8]]

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


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

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


[User]
What is the rank of the matrix:
[[24, 62, -2, 8, -40],
 [0, -20, 5, 10, -6],
 [-48, 78, 48, 60, 12],
 [24, 8, -34, -48, 2],
 [35, -33, -29, -32, -20]]?

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


[User]
Determine the rank of the following matrix:
[[24, 36, 12, -13, 31],
 [4, 32, 40, 7, -29],
 [24, 64, 36, 2, 6],
 [20, 7, 16, -30, 15],
 [36, 65, 26, -7, -50]]

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


[User]
Find the rank of the matrix:
[[30, -18, 6, 14, -8],
 [-5, -30, -23, 38, -28],
 [-10, 12, 2, -12, 8],
 [5, -6, -1, 6, -4],
 [-20, 42, 16, -46, 32]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -36, 36, 6, 30],
 [-10, 30, -30, -5, -25],
 [10, -30, 30, 5, 25],
 [10, -30, 30, 5, 25],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[4, -4, 12, -24, 24],
 [27, 15, -3, 6, -12],
 [14, 0, 14, -28, 26],
 [-2, -5, 8, -16, 17],
 [-19, -9, -1, 2, 2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, -8, -50, -61, 24],
 [-30, -2, -35, -49, 31],
 [0, -4, -34, -44, 17],
 [-15, -14, 1, 26, 17],
 [45, -8, -2, 11, -16]]

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


[User]
Find the rank of the matrix:
[[-1, -12, 8, 10, 15],
 [44, 27, -32, -36, -5],
 [-1, 31, -9, -28, -42],
 [38, 16, -33, -22, 6],
 [10, 20, -33, -14, -18]]

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


[User]
Determine the rank of the following matrix:
[[0, 16, -24, -4, 8],
 [0, -12, 18, 3, -6],
 [0, 4, -6, -1, 2],
 [0, 20, -30, -5, 10],
 [0, -12, 18, 3, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -2, -30, -46, 37],
 [-18, 18, 2, 19, -32],
 [-3, 31, -30, -23, -10],
 [6, 38, 20, 14, -3],
 [57, -64, 24, -39, 57]]

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


[User]
Calculate the rank of matrix A where A =
[[-36, 24, 30, 36, 6],
 [-3, -7, 10, 12, 5],
 [9, 3, -15, -18, -6],
 [3, 31, -30, -36, -17],
 [-30, 20, 25, 30, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-19, -1, 23, 0, 3],
 [16, -53, 37, -1, -12],
 [0, -18, 21, 1, -6],
 [-24, 16, 4, -4, 16],
 [-6, -7, 8, -4, 8]]

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


[User]
Find the rank of the matrix:
[[18, 1, 0, 16, -10],
 [37, -50, -6, -65, 16],
 [-30, 21, 29, 46, -9],
 [24, -25, 38, -5, -32],
 [-10, 29, -18, 13, -16]]

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


[User]
Determine the rank of the following matrix:
[[-15, 5, 25, 10, 30],
 [18, -6, -30, -12, -36],
 [-9, 3, 15, 6, 18],
 [-18, 6, 30, 12, 36],
 [6, -2, -10, -4, -12]]

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


[User]
Find the rank of the matrix:
[[-3, -17, 21, -45, -25],
 [-12, 2, -56, 18, 60],
 [26, -33, -32, -3, -5],
 [34, -5, 32, 21, -55],
 [-21, 31, 67, -45, -40]]

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


[User]
Find the rank of the matrix:
[[-17, 26, 2, -7, 7],
 [41, -58, 12, 6, -16],
 [-40, 40, -12, -20, 20],
 [10, 28, 12, 30, -14],
 [-20, 42, -7, 10, 4]]

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


[User]
What is the rank of the matrix:
[[-6, 0, 24, -30, 24],
 [2, 0, -8, 10, -8],
 [-1, 0, 4, -5, 4],
 [-6, 0, 24, -30, 24],
 [5, 0, -20, 25, -20]]?

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


[User]
Determine the rank of the following matrix:
[[-9, -12, 12, 6, -12],
 [-36, -8, 0, -12, -28],
 [-27, 17, -26, -25, -4],
 [21, -5, 10, 11, 6],
 [4, -13, 14, 6, -13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -18, 3, 36, 6],
 [11, 6, -19, -30, 1],
 [9, -36, -36, 30, 19],
 [13, 12, -20, -42, -1],
 [-9, -18, 9, 42, 5]]

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


[User]
Find the rank of the matrix:
[[15, -5, 24, -2, 15],
 [-3, -2, 8, -10, 5],
 [-24, 36, -8, 20, -12],
 [-38, -7, 6, -28, 18],
 [-2, -29, -23, -27, -9]]

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


[User]
What is the rank of the matrix:
[[13, -8, -29, -41, 23],
 [23, 34, 0, -25, 15],
 [-43, -20, -30, 5, -33],
 [11, -46, -2, -3, 25],
 [-20, 22, 36, 46, -36]]?

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


[User]
What is the rank of the matrix:
[[12, 12, -30, -24, -12],
 [8, 8, -20, -16, -8],
 [6, 6, -15, -12, -6],
 [-10, -10, 25, 20, 10],
 [0, 0, 0, 0, 0]]?

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


[User]
What is the rank of the matrix:
[[-24, 37, 24, 7, 17],
 [0, 1, 8, 3, -3],
 [3, -3, 10, 4, -7],
 [-6, 13, 36, 13, -7],
 [-12, 18, 8, 2, 10]]?

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


[User]
Calculate the rank of matrix A where A =
[[21, 48, -41, -60, 22],
 [11, 15, -47, 14, 19],
 [44, 53, -41, -20, 11],
 [-30, 2, 19, -21, 22],
 [6, -29, -58, -27, -19]]

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


[User]
Find the rank of the matrix:
[[-25, 0, -30, -25, 15],
 [5, 0, 6, 5, -3],
 [10, 0, 12, 10, -6],
 [5, 0, 6, 5, -3],
 [-15, 0, -18, -15, 9]]

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


[User]
What is the rank of the matrix:
[[-14, 13, -25, -21, 33],
 [26, 26, 18, -36, 2],
 [5, 20, -6, -15, 4],
 [23, -7, 34, -3, -19],
 [-24, 3, -33, 9, 15]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, 0, 6, -9, 3],
 [0, 0, 0, 0, 0],
 [4, 0, 2, -3, 1],
 [-16, 0, -8, 12, -4],
 [-8, 0, -4, 6, -2]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 30, -36, -6, 6],
 [-22, -25, 18, 11, 31],
 [4, -5, 12, -2, -19],
 [-12, -20, 20, 6, 8],
 [-16, -20, 16, 8, 20]]

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


[User]
What is the rank of the matrix:
[[1, 6, -13, -5, -37],
 [-47, 4, -23, -7, 61],
 [-5, 17, 21, 24, 20],
 [-12, -33, -54, -57, 53],
 [67, -13, 49, 14, -12]]?

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


[User]
Find the rank of the matrix:
[[-23, -34, 9, -21, -20],
 [16, -67, -13, -14, 13],
 [53, 0, -19, 26, 33],
 [-34, 45, 7, -21, 0],
 [48, -45, -13, 19, 14]]

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


[User]
Find the rank of the matrix:
[[-8, -10, -2, -6, 0],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [-8, -10, -2, -6, 0],
 [20, 25, 5, 15, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-39, 30, 18, -11, -22],
 [21, -21, -9, -4, 10],
 [42, -42, -18, -8, 20],
 [-1, -3, 1, -8, -2],
 [30, -36, -12, -18, 12]]

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


[User]
Determine the rank of the following matrix:
[[-19, -38, 4, 23, 7],
 [36, -26, -28, -16, 14],
 [-33, 20, 16, 17, -17],
 [14, 35, 20, -22, 6],
 [-44, -38, -30, 42, 15]]

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


[User]
Find the rank of the matrix:
[[7, 13, -45, -26, -8],
 [-6, -21, -14, -4, -26],
 [5, 11, -23, -14, 0],
 [-15, -42, 21, 18, -30],
 [-1, -7, -21, -10, -16]]

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


[User]
What is the rank of the matrix:
[[-9, -4, 7, -5, 41],
 [-20, 4, 26, 14, -3],
 [34, -19, -3, -32, 5],
 [19, 20, -10, -39, 23],
 [-23, 51, 18, -37, 82]]?

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


[User]
What is the rank of the matrix:
[[25, 58, 13, -47, -37],
 [17, 22, -1, -29, -39],
 [6, 24, 29, -13, -5],
 [22, 54, -20, -46, -60],
 [15, 40, 12, -32, -44]]?

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


[User]
What is the rank of the matrix:
[[-18, 57, 3, 36, 25],
 [34, -5, -15, 16, 15],
 [-48, 42, 18, 6, 0],
 [34, -35, 11, -8, -7],
 [30, 3, 21, 21, 12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, -9, 26, 29, 24],
 [29, 6, -10, -24, -30],
 [1, 4, -10, -11, -35],
 [-32, -30, 44, 34, 60],
 [26, 15, -30, -24, -29]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 22, 2, 4, 23],
 [-35, 0, 19, 22, 27],
 [-3, 3, 9, -6, 12],
 [-30, -46, 2, 52, -28],
 [23, 13, 3, -34, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[38, 17, -5, -39, -53],
 [10, -38, 20, -9, 27],
 [2, 39, -11, 8, 12],
 [-20, 13, -11, 22, -8],
 [5, -4, -2, -30, -33]]

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


[User]
Determine the rank of the following matrix:
[[11, 4, -27, 24, 4],
 [-36, 1, -12, 27, 26],
 [-28, -8, -9, 15, 4],
 [51, 18, 9, -18, 0],
 [7, 3, 24, -24, -2]]

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


[User]
What is the rank of the matrix:
[[3, 24, 22, -32, 1],
 [9, -18, -40, 41, 8],
 [39, 3, -36, 13, 16],
 [-7, 19, 0, -3, 6],
 [9, -24, 22, -18, -15]]?

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


[User]
Find the rank of the matrix:
[[-11, -44, 33, -29, -10],
 [31, -41, 30, -34, -19],
 [50, -36, 28, -34, -16],
 [50, -24, 22, -26, -4],
 [-46, -14, 11, -2, 6]]

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


[User]
What is the rank of the matrix:
[[0, 36, -30, -30, 34],
 [-7, 1, -9, 5, 6],
 [19, -13, 33, -5, -26],
 [-3, 21, -21, -15, 22],
 [-6, 6, -12, 0, 10]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 11, 7, 6, 13],
 [72, 39, 69, -10, -26],
 [-4, 2, -24, 34, -20],
 [35, -11, 13, -24, -29],
 [4, 6, 37, 17, 10]]

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


[User]
Determine the rank of the following matrix:
[[-28, -5, 7, 45, -19],
 [-3, 36, -17, 12, -1],
 [-31, 4, -3, 8, -33],
 [-15, -18, 6, -16, -21],
 [-20, -49, 22, -13, -25]]

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


[User]
What is the rank of the matrix:
[[24, 0, 30, -36, -12],
 [-4, -6, -7, 6, 2],
 [24, -30, 20, -36, -12],
 [-4, -18, -11, 6, 2],
 [28, -6, 33, -42, -14]]?

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


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

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


[User]
Find the rank of the matrix:
[[-22, -3, 13, 1, 20],
 [0, -5, 7, 9, 4],
 [8, -8, 8, 16, 0],
 [-22, -3, 13, 1, 20],
 [8, 2, -6, -2, -8]]

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


[User]
Determine the rank of the following matrix:
[[-6, 5, 18, -24, 31],
 [16, -25, 52, -2, -25],
 [4, 6, 73, -23, -4],
 [-17, 2, -54, 14, 11],
 [21, -50, -13, 19, -21]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 4, 12, 14, 4],
 [-11, 27, 21, -28, -14],
 [-5, 11, 48, -36, -15],
 [-22, 24, -48, 42, 12],
 [-13, -6, -3, 35, 13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 1, -5, 0, -2],
 [18, -6, 30, 0, 12],
 [12, -4, 20, 0, 8],
 [-9, 3, -15, 0, -6],
 [6, -2, 10, 0, 4]]

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


[User]
What is the rank of the matrix:
[[-10, 29, 18, 46, 20],
 [-33, -14, -42, 14, 23],
 [-1, -43, -10, -22, -36],
 [-20, -8, -55, -12, 32],
 [15, 17, 54, 18, -20]]?

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


[User]
Determine the rank of the following matrix:
[[-6, 3, -5, -24, -9],
 [-18, 30, -22, -9, -6],
 [-4, 10, -6, 8, 2],
 [18, -27, 21, 18, 9],
 [12, -18, 14, 12, 6]]

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


[User]
Find the rank of the matrix:
[[-23, 20, 2, 19, 16],
 [-30, 24, 0, 24, -3],
 [1, 12, 2, 11, -32],
 [9, -8, 2, -9, 30],
 [-40, 52, 8, 48, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-46, 6, -19, 33, 16],
 [14, 37, 40, 15, -26],
 [0, -30, -33, -33, 30],
 [34, -3, 32, 7, -46],
 [-21, 12, -7, 13, 14]]

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


[User]
Determine the rank of the following matrix:
[[5, -3, 0, 4, 4],
 [-15, 9, 0, -12, -12],
 [10, -6, 0, 8, 8],
 [-10, 6, 0, -8, -8],
 [-30, 18, 0, -24, -24]]

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


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

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


[User]
What is the rank of the matrix:
[[-27, -35, -18, -3, -4],
 [-26, -19, -52, 9, 44],
 [-55, -43, -26, 21, 12],
 [56, 39, 24, -26, -15],
 [-6, 15, 20, 22, 1]]?

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


[User]
Determine the rank of the following matrix:
[[29, -18, -7, 8, 3],
 [9, -18, -23, -46, 20],
 [-35, -12, -7, 12, 16],
 [-14, -12, -32, 22, 4],
 [-45, 0, -5, -10, 15]]

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


[User]
What is the rank of the matrix:
[[-15, -9, 9, -15, -3],
 [24, 15, 2, 1, -4],
 [35, 46, -19, 38, -33],
 [-10, -33, -2, -5, 44],
 [-8, 2, -4, 6, -8]]?

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


[User]
Calculate the rank of matrix A where A =
[[2, 43, 45, -18, 75],
 [47, 37, 33, -22, 25],
 [45, 5, -3, 6, -35],
 [5, -41, -45, 6, -69],
 [-11, 2, 12, 52, -34]]

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


[User]
What is the rank of the matrix:
[[0, 18, -3, 18, -6],
 [0, -36, 6, -36, 12],
 [0, 24, -4, 24, -8],
 [0, 18, -3, 18, -6],
 [0, -30, 5, -30, 10]]?

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


[User]
Calculate the rank of matrix A where A =
[[29, 13, -15, 9, 38],
 [-29, 20, 40, -11, -30],
 [0, 60, 6, 20, 4],
 [-7, -8, -17, 9, -16],
 [-56, 5, 43, -24, -53]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, -5, 9, -9, 6],
 [14, -8, -41, -16, 14],
 [-6, 25, 2, -9, 25],
 [8, 0, -26, -12, 14],
 [10, -37, -22, 1, -23]]

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


[User]
What is the rank of the matrix:
[[-46, -2, -8, -40, -8],
 [-9, 45, 31, 0, 39],
 [46, 18, 14, 32, 22],
 [-22, 6, -6, -32, 2],
 [24, 27, 16, 12, 27]]?

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


[User]
What is the rank of the matrix:
[[21, 13, -14, 1, -26],
 [61, -36, -48, 44, 11],
 [43, -3, -29, 16, -5],
 [19, -31, -12, 27, -6],
 [-6, -45, -15, 37, -19]]?

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


[User]
What is the rank of the matrix:
[[-20, 8, 16, -8, 24],
 [-10, 4, 8, -4, 12],
 [-10, 4, 8, -4, 12],
 [-10, 4, 8, -4, 12],
 [-20, 8, 16, -8, 24]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 25, 25, 45, -38],
 [-4, -35, -2, -11, -7],
 [-7, -66, -5, -35, -19],
 [-9, -22, 5, -5, -21],
 [4, -46, -12, -26, 10]]

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


[User]
What is the rank of the matrix:
[[-12, -4, 16, 12, -20],
 [6, 2, -8, -6, 10],
 [15, 5, -20, -15, 25],
 [-6, -2, 8, 6, -10],
 [-6, -2, 8, 6, -10]]?

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[User]
What is the rank of the matrix:
[[46, 15, 7, -17, -33],
 [-38, -5, -21, -31, 1],
 [18, -2, 14, 25, 6],
 [-4, 2, 17, 45, 34],
 [4, -2, -6, -10, -14]]?

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[User]
Calculate the rank of matrix A where A =
[[44, -1, -19, -11, -14],
 [43, -23, -15, 3, -7],
 [46, -62, 18, 6, 2],
 [13, -49, 27, 9, 9],
 [21, 2, -16, -2, -7]]

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


[User]
What is the rank of the matrix:
[[-6, -12, 18, 0, 18],
 [4, 8, -12, 0, -12],
 [5, 10, -15, 0, -15],
 [-4, -8, 12, 0, 12],
 [-4, -8, 12, 0, 12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 0, 0, -12, 6],
 [20, 0, 0, 24, -12],
 [30, 0, 0, 36, -18],
 [20, 0, 0, 24, -12],
 [-5, 0, 0, -6, 3]]

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[User]
Find the rank of the matrix:
[[1, 5, -13, 7, -15],
 [5, 38, 0, -17, 3],
 [-9, 30, 0, -9, -3],
 [-3, 13, 15, -15, 17],
 [-13, -26, 36, -11, 37]]

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[User]
Find the rank of the matrix:
[[0, -27, -16, 38, -41],
 [21, -10, -20, 32, -51],
 [-55, -31, 32, -10, -4],
 [-39, -13, 10, -10, -35],
 [-12, -26, -14, 30, -45]]

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[User]
Calculate the rank of matrix A where A =
[[36, 2, -54, -32, 12],
 [-30, 15, -1, 18, -6],
 [-24, 18, -13, 20, 1],
 [18, -5, -5, -2, 10],
 [6, -5, 4, -6, -1]]

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


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

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


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

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[User]
Find the rank of the matrix:
[[-3, 9, -24, 12, 6],
 [44, 20, 16, 0, -24],
 [-66, -30, -24, 0, 36],
 [-54, -28, -12, -4, 28],
 [29, 8, 22, -6, -18]]

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[User]
Compute the rank of the given 5x5 matrix:
[[18, 10, 6, -4, 10],
 [-9, -9, -24, 6, -9],
 [40, 36, 18, -2, 17],
 [37, 1, 10, -16, 30],
 [19, 23, 18, 0, 8]]

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[User]
What is the rank of the matrix:
[[50, 18, 7, 39, 24],
 [16, -15, 9, 12, 11],
 [-26, 31, 20, 16, 17],
 [6, -32, -19, -38, -24],
 [-4, 39, -7, 9, -1]]?

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[User]
Calculate the rank of matrix A where A =
[[6, -8, 2, -4, -12],
 [21, -15, 18, 6, -30],
 [-2, -19, -19, -32, -16],
 [10, 4, 18, 20, -4],
 [1, 3, 4, 6, 2]]

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[User]
What is the rank of the matrix:
[[14, 4, 10, -16, 3],
 [8, 6, 10, -10, 2],
 [-2, 18, 20, -2, 1],
 [20, 2, 10, -22, 4],
 [-12, 4, 0, 12, -2]]?

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[User]
What is the rank of the matrix:
[[-2, -3, -19, -20, 50],
 [-33, -12, 6, 6, -6],
 [-10, -19, 36, 31, -34],
 [-11, 4, -2, -12, 32],
 [-43, -27, 29, 22, -10]]?

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[User]
Find the rank of the matrix:
[[5, -6, 10, 26, -8],
 [-40, -15, -17, -28, 46],
 [9, 9, 21, 38, -31],
 [-15, 3, -3, -10, 8],
 [8, 18, 10, 8, -26]]

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[User]
Determine the rank of the following matrix:
[[-36, 11, -11, 27, -9],
 [48, -13, 9, -36, 17],
 [30, -3, 11, -18, 11],
 [27, -22, 36, -24, -22],
 [-24, 14, -30, 18, 14]]

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[User]
Calculate the rank of matrix A where A =
[[-12, 6, 12, 4, 10],
 [-36, 18, 36, 12, 30],
 [18, -9, -18, -6, -15],
 [0, 0, 0, 0, 0],
 [-6, 3, 6, 2, 5]]

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[User]
What is the rank of the matrix:
[[-30, -30, -5, -25, 5],
 [18, 18, 3, 15, -3],
 [-30, -30, -5, -25, 5],
 [-18, -18, -3, -15, 3],
 [36, 36, 6, 30, -6]]?

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[User]
Find the rank of the matrix:
[[-30, 10, 30, 20, -5],
 [-30, 10, 30, 20, -5],
 [-12, 4, 12, 8, -2],
 [36, -12, -36, -24, 6],
 [-30, 10, 30, 20, -5]]

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[User]
Find the rank of the matrix:
[[-17, -13, -12, -51, 32],
 [-42, 26, -12, -16, 12],
 [30, -16, 11, 6, -7],
 [-24, 32, -21, 1, 13],
 [40, -28, 26, 8, -18]]

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[User]
What is the rank of the matrix:
[[-15, 25, 10, -29, 12],
 [9, -15, 17, -1, 2],
 [-3, 5, -4, -1, 0],
 [15, -25, 40, -11, 8],
 [-9, 15, -17, 1, -2]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[3, 18, -5, -2, 8],
 [18, -12, 25, 23, 8],
 [-19, 6, -10, -9, -24],
 [-30, 12, -34, -32, -20],
 [-10, -36, -5, -11, -8]]

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[User]
Compute the rank of the given 5x5 matrix:
[[17, 11, 21, -7, -18],
 [-40, 5, 13, -10, 20],
 [-21, -21, -33, 15, 24],
 [21, -7, -12, 9, -9],
 [27, 1, 3, 3, -18]]

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[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [-2, -3, -4, 2, 0],
 [-12, -18, -24, 12, 0],
 [8, 12, 16, -8, 0],
 [-6, -9, -12, 6, 0]]

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[User]
Determine the rank of the following matrix:
[[-16, 26, -18, 6, -24],
 [-7, 8, -5, -2, -16],
 [-3, -8, 7, -6, -2],
 [11, -3, 0, 11, 29],
 [27, -14, 7, -6, 7]]

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[User]
What is the rank of the matrix:
[[-39, 6, 6, -23, -33],
 [-4, -14, -4, -18, 22],
 [-47, -19, -20, -10, -25],
 [-26, -12, -12, -6, -12],
 [15, 17, 16, 0, -1]]?

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[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-5, 3, -6, -4, -2],
 [-25, 15, -30, -20, -10],
 [10, -6, 12, 8, 4],
 [-5, 3, -6, -4, -2]]?

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

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[User]
Calculate the rank of matrix A where A =
[[-52, -28, 32, -26, 32],
 [12, -2, -2, -3, -17],
 [-32, -50, -13, 1, 36],
 [62, 66, -22, 20, -73],
 [-26, -36, -6, 5, 50]]

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

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[User]
What is the rank of the matrix:
[[27, -3, 9, 9, -12],
 [-25, 5, -7, 5, 20],
 [21, -4, 6, -3, -16],
 [5, -5, -1, -25, -20],
 [54, -6, 18, 18, -24]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-15, 25, 36, -9, 25],
 [-20, 31, 44, -10, 31],
 [3, 9, -4, 9, 17],
 [-20, -4, 10, -4, -14],
 [32, -16, -31, 4, -9]]

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[User]
Compute the rank of the given 5x5 matrix:
[[24, -19, -7, -7, 23],
 [0, 5, 11, 2, -13],
 [4, 21, 43, -2, -17],
 [0, -3, -3, 3, -9],
 [-17, 30, 34, 3, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 28, 6, -12, 26],
 [21, 30, 13, -10, 27],
 [33, -3, -22, -8, 0],
 [24, -14, -26, -4, -10],
 [-45, 10, 35, 10, 5]]

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[User]
Find the rank of the matrix:
[[13, -3, -1, 3, -36],
 [20, -8, 10, -26, -11],
 [-19, 3, 39, -21, 52],
 [9, 17, -35, 41, -23],
 [15, 2, -15, 9, -26]]

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[User]
What is the rank of the matrix:
[[-15, -9, 18, 9, 12],
 [35, -3, 12, -15, 8],
 [-33, 29, 23, 16, 10],
 [-6, -17, 49, 8, 32],
 [-5, -32, 13, 5, 12]]?

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[User]
Find the rank of the matrix:
[[-16, -14, 32, -8, -54],
 [5, 4, 12, -28, 66],
 [-47, -64, -2, -11, -35],
 [-10, -10, -22, 8, -20],
 [8, -20, 20, 41, -19]]

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[User]
Determine the rank of the following matrix:
[[10, -8, 10, -2, 4],
 [-4, 33, -23, 0, -4],
 [-4, 23, -13, 26, 20],
 [-8, -12, 4, 4, 0],
 [9, 0, 3, -12, -6]]

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[User]
Calculate the rank of matrix A where A =
[[36, 0, 30, 12, -12],
 [6, 0, 5, 2, -2],
 [-36, 0, -30, -12, 12],
 [-18, 0, -15, -6, 6],
 [24, 0, 20, 8, -8]]

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[User]
What is the rank of the matrix:
[[-19, 1, 12, 28, -12],
 [-38, -23, 9, 2, -28],
 [-5, 20, 15, 50, 0],
 [5, 5, 0, 4, 4],
 [0, 0, 0, 0, 0]]?

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


[User]
What is the rank of the matrix:
[[36, 30, -9, -19, -21],
 [45, 34, -19, 3, -51],
 [-10, -10, -1, 18, -6],
 [20, 14, -49, 13, -21],
 [-16, -14, 9, 13, 3]]?

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[User]
Find the rank of the matrix:
[[31, -15, 33, -7, -76],
 [10, -20, -20, 3, 3],
 [14, -22, 16, 0, -71],
 [64, -6, 34, -13, -31],
 [-23, 21, 4, -1, 21]]

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[User]
What is the rank of the matrix:
[[-6, -12, 18, 13, -4],
 [26, -16, -18, -21, 4],
 [-18, -7, 40, 22, 22],
 [-41, 11, 26, 43, 18],
 [-2, -13, 2, 11, -9]]?

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[User]
Determine the rank of the following matrix:
[[22, 6, 46, 16, -34],
 [20, 30, -25, 20, -5],
 [-24, -18, -19, -20, 25],
 [-12, 0, -34, -8, 22],
 [-4, -24, 54, -8, -18]]

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[User]
What is the rank of the matrix:
[[23, 19, 67, -36, -41],
 [55, 57, 13, 3, -17],
 [14, 22, 28, -38, -36],
 [-5, 3, 55, 30, -2],
 [-26, -50, -42, -40, 10]]?

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

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[User]
What is the rank of the matrix:
[[-1, -3, -16, 2, 1],
 [11, 8, 41, -27, -26],
 [-2, 29, 4, 2, -4],
 [9, -12, 15, -21, -18],
 [2, 33, -16, -10, -20]]?

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[User]
Find the rank of the matrix:
[[38, 32, -38, 32, 34],
 [20, 10, 10, -10, 15],
 [-4, -4, 16, -12, 10],
 [24, 24, -36, 32, 30],
 [-27, -22, 21, -18, -28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-29, 5, -2, 41, -20],
 [-3, -13, -30, 7, 20],
 [-12, -2, -12, 32, -8],
 [26, 3, 17, -30, 2],
 [16, -20, -38, -12, 36]]

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


[User]
Determine the rank of the following matrix:
[[-36, -6, -42, -7, -18],
 [-79, -6, -60, -27, -49],
 [31, 53, -32, -19, -3],
 [16, 19, -5, 26, 50],
 [-18, 8, -7, -33, -46]]

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[User]
Calculate the rank of matrix A where A =
[[1, -11, 43, -32, -19],
 [-10, 35, 35, -30, -20],
 [1, -13, -22, 16, -16],
 [7, -37, 8, -4, -16],
 [14, -66, -21, 20, -11]]

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


[User]
Determine the rank of the following matrix:
[[0, -1, -9, 12, 13],
 [0, 1, 2, -1, -1],
 [3, 4, 4, -5, -1],
 [-29, -32, -16, 27, -13],
 [31, 30, 7, -22, 21]]

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[User]
Determine the rank of the following matrix:
[[42, 72, 24, -4, 26],
 [20, -12, 38, -26, -32],
 [-30, -24, -27, -11, 11],
 [-2, -30, 10, 6, -29],
 [15, 24, 21, -57, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, 0, 34, 2, 43],
 [6, 8, -6, -71, -8],
 [5, -36, 36, 43, -9],
 [13, 8, -28, 54, -17],
 [16, 4, 14, -29, 14]]

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


[User]
Find the rank of the matrix:
[[5, 5, 10, 6, 1],
 [30, 30, 30, 0, 24],
 [-30, -30, -5, 30, -39],
 [10, 10, 10, 0, 8],
 [-30, -30, 0, 36, -42]]

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


[User]
Find the rank of the matrix:
[[-12, -6, -8, -2, -6],
 [-44, 56, -12, -16, -22],
 [0, -9, -2, 1, 0],
 [-4, 19, 2, -3, -2],
 [36, -54, 8, 14, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -4, -1, -3, 6],
 [20, -20, -5, -15, 30],
 [4, -4, -1, -3, 6],
 [-12, 12, 3, 9, -18],
 [-12, 12, 3, 9, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -4, -10, -4, -2],
 [-16, 0, -18, -14, 0],
 [-18, 22, 10, -13, 11],
 [8, -24, -24, 4, -12],
 [12, -12, -3, 9, -6]]

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


[User]
Find the rank of the matrix:
[[-5, -9, 67, -16, 4],
 [20, -40, 4, -34, 30],
 [-9, 32, -7, 5, -15],
 [20, -24, -4, 20, 4],
 [13, 10, 41, 47, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, 6, -2, -20, -1],
 [-47, 20, 24, -2, 18],
 [-57, -38, 52, 7, 5],
 [-1, 37, -1, 2, 20],
 [-5, -46, 40, 27, -2]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, -39, -33, -17, 11],
 [17, -45, -9, 29, -26],
 [18, -28, -17, -28, 23],
 [-8, -12, 42, 28, -18],
 [-25, 45, 36, -13, 16]]

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


[User]
Determine the rank of the following matrix:
[[-2, -22, 16, 2, -6],
 [-23, -16, 29, 51, 32],
 [-1, 11, -17, -31, -13],
 [-40, 24, -23, -5, 12],
 [-42, 4, -5, 4, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -12, 9, 18, 3],
 [-12, 12, -9, -18, -3],
 [8, -8, 6, 12, 2],
 [24, -24, 18, 36, 6],
 [-16, 16, -12, -24, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 4, 12, -8, 12],
 [9, -16, -6, -22, 12],
 [-6, -6, 24, -42, 42],
 [-7, -2, 22, -32, 34],
 [16, -9, -34, 27, -37]]

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


[User]
Determine the rank of the following matrix:
[[3, -54, 3, -12, 24],
 [19, 66, -8, 2, -28],
 [11, -46, -7, -32, -2],
 [-35, -30, 19, 36, 41],
 [20, 40, -16, -24, -44]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[13, -5, 23, -24, 20],
 [-10, 29, -23, -15, 19],
 [3, 46, -18, -1, 29],
 [-18, -28, -16, 37, -50],
 [20, 42, 10, -28, 54]]

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


[User]
Calculate the rank of matrix A where A =
[[-39, -10, -27, -29, 9],
 [16, 64, -16, 34, -20],
 [-10, -9, -7, -10, -8],
 [-42, -49, -15, -41, -10],
 [-3, -12, 3, -3, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -30, 24, -36, -30],
 [30, 17, 32, 42, 23],
 [-25, 0, -38, -18, -5],
 [-25, -20, -22, -42, -25],
 [-10, 21, -32, 18, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[23, -18, 23, 25, -4],
 [9, -11, -5, 26, -44],
 [-40, 25, -45, -49, 46],
 [-24, 12, -48, -36, 63],
 [-30, 20, -21, -44, 54]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[23, -6, 12, 52, 8],
 [-19, 24, -19, -20, 8],
 [-64, 20, 18, -12, -36],
 [7, -3, 6, 16, -1],
 [-4, -10, -3, -18, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[48, 0, -12, -12, 24],
 [-20, 18, -4, 14, -10],
 [-20, 6, 2, 8, -10],
 [0, -60, 30, -30, 0],
 [-40, 0, 10, 10, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 36, -38, 15, 14],
 [-21, -10, -2, -49, 13],
 [-34, -28, 48, -4, 8],
 [30, 2, -34, -28, -28],
 [-15, -24, 8, -69, -10]]

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


[User]
Find the rank of the matrix:
[[10, -6, -42, -44, -14],
 [-19, 37, 19, 26, 17],
 [-15, 33, 6, 12, 12],
 [16, -40, 5, -2, -11],
 [17, -39, -3, -10, -13]]

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


[User]
Find the rank of the matrix:
[[0, 12, 18, 4, -18],
 [8, -41, -14, 15, 26],
 [12, -3, 33, 18, -24],
 [8, -1, 16, 7, -12],
 [28, -20, 20, 11, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 18, -23, 31, -15],
 [-3, 22, 14, 13, -7],
 [6, -12, -24, -2, -7],
 [12, -32, 6, -24, 17],
 [-10, 2, -33, 26, 6]]

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


[User]
Find the rank of the matrix:
[[17, 5, -12, -7, 12],
 [73, 49, -36, -59, 60],
 [-45, -42, 15, 52, -46],
 [-12, -12, 2, 24, -28],
 [50, 35, -23, -47, 50]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[31, -36, 35, -43, 15],
 [-13, 22, 3, 23, 25],
 [-23, 30, -27, 39, -3],
 [32, -54, 36, -78, -30],
 [18, -21, 42, -36, 24]]

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


[User]
Determine the rank of the following matrix:
[[-6, -6, 24, -12, -36],
 [-4, -4, 16, -8, -24],
 [-3, -3, 12, -6, -18],
 [-2, -2, 8, -4, -12],
 [-3, -3, 12, -6, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [24, 54, 12, 42, -12],
 [17, 27, 16, 32, -1],
 [10, 0, 20, 22, 10],
 [15, 30, 10, 27, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 11, -16, -14, -11],
 [-2, -17, 17, 13, 12],
 [-24, -33, 14, 4, 11],
 [-40, -25, -10, -20, -5],
 [0, 9, -10, -8, -7]]

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


[User]
Determine the rank of the following matrix:
[[6, -6, -42, -60, -30],
 [2, 4, 8, 15, 5],
 [19, 11, -23, -15, -20],
 [32, 22, -26, -5, -25],
 [-32, -22, 26, 5, 25]]

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


[User]
Determine the rank of the following matrix:
[[-36, 2, 19, 3, 39],
 [-7, 34, -2, -41, -15],
 [23, -6, -19, -28, -18],
 [19, -13, -24, -11, 3],
 [-56, 19, 48, 53, 36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 8, -20, 22, 19],
 [1, 30, -30, 39, 14],
 [-5, -29, -1, 9, 10],
 [1, -12, -18, 11, 49],
 [-22, 18, -6, 58, 32]]

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


[User]
Calculate the rank of matrix A where A =
[[-25, -17, 23, -9, 12],
 [16, 14, -10, 18, 22],
 [10, -31, 14, 0, 1],
 [-36, -10, 24, -12, 14],
 [-4, 23, -11, 3, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -8, 10, -6, 12],
 [-1, -14, 3, -3, 4],
 [-4, -2, -12, 6, -14],
 [7, -19, 31, -18, 37],
 [-3, -6, -7, 3, -8]]

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


[User]
Find the rank of the matrix:
[[10, -31, 13, -23, 4],
 [1, -7, 13, -1, 16],
 [1, -10, 22, 0, 28],
 [11, -32, 8, -26, -4],
 [-3, 9, -3, 7, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -12, -12, 18, 0],
 [0, 0, 0, 0, 0],
 [-20, -20, -20, 30, 0],
 [8, 8, 8, -12, 0],
 [-8, -8, -8, 12, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -21, -30, 24, 14],
 [8, 19, 33, -18, -23],
 [-7, 7, -8, 60, -6],
 [10, 8, 31, -30, -26],
 [2, 10, 13, 6, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[36, 12, -4, 12, -9],
 [0, -46, -38, -10, -41],
 [81, 0, -24, 27, -36],
 [15, -18, -2, 15, -3],
 [-25, -20, -12, -15, -10]]

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


[User]
Find the rank of the matrix:
[[-15, -60, 0, 3, 7],
 [-8, 46, 26, -14, 2],
 [-9, -27, 3, 0, 4],
 [18, -36, -36, 18, -6],
 [39, 12, -48, 21, -15]]

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


[User]
What is the rank of the matrix:
[[-17, -24, 18, 34, -29],
 [16, 16, -40, -32, 24],
 [-17, -20, 32, 34, -27],
 [7, 20, -44, -30, 25],
 [-6, -12, 30, 20, -16]]?

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


[User]
What is the rank of the matrix:
[[-10, 11, 10, -11, -22],
 [11, 2, 8, 20, 26],
 [9, -33, -33, 6, 21],
 [7, -17, -1, 26, 25],
 [-12, -12, -2, -2, -18]]?

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


[User]
What is the rank of the matrix:
[[-24, -6, 6, 18, -6],
 [12, 3, -3, -9, 3],
 [6, 9, 9, 3, -15],
 [-26, -9, 3, 17, -1],
 [34, 16, 2, -18, -8]]?

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


[User]
Determine the rank of the following matrix:
[[-31, -66, -46, -27, -7],
 [-22, 23, 24, -59, -6],
 [-18, -28, 0, 10, 40],
 [33, 17, 2, 36, 11],
 [4, -26, -20, 2, 24]]

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


[User]
What is the rank of the matrix:
[[4, 4, -12, 24, -12],
 [4, 4, -12, 24, -12],
 [-1, -1, 3, -6, 3],
 [1, 1, -3, 6, -3],
 [-1, -1, 3, -6, 3]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, -13, -28, 24, -36],
 [-37, 19, 0, 17, 9],
 [36, 6, 0, -36, 36],
 [24, -14, -3, -6, -12],
 [-35, 23, 9, 1, 27]]

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


[User]
Determine the rank of the following matrix:
[[-7, -10, 2, -12, 0],
 [1, -2, 10, 0, -24],
 [-3, 0, -12, -3, 30],
 [15, 16, 12, 23, -38],
 [16, 20, 4, 26, -20]]

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


[User]
Determine the rank of the following matrix:
[[21, 30, 51, 31, -47],
 [11, 8, 48, 36, -46],
 [0, -3, 43, 27, -30],
 [-6, 10, -44, -27, 29],
 [2, 51, -17, -10, -3]]

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


[User]
Determine the rank of the following matrix:
[[-36, -6, -18, 0, 18],
 [36, 6, 18, 0, -18],
 [18, 3, 9, 0, -9],
 [-30, -5, -15, 0, 15],
 [-24, -4, -12, 0, 12]]

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


[User]
Determine the rank of the following matrix:
[[25, 20, -25, 30, 20],
 [20, 16, -20, 24, 16],
 [10, 8, -10, 12, 8],
 [0, 0, 0, 0, 0],
 [-30, -24, 30, -36, -24]]

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


[User]
Find the rank of the matrix:
[[-28, -18, 40, 46, -30],
 [-32, -26, 8, -24, -3],
 [-26, -39, 20, 37, -7],
 [25, 26, -14, 12, 3],
 [-20, 10, 40, 14, -36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -11, -21, -1, -35],
 [-5, 25, 5, 14, -29],
 [-13, 46, -6, 0, 17],
 [-6, 21, 1, -18, 32],
 [2, -12, -12, 15, -11]]

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


[User]
Find the rank of the matrix:
[[-3, -6, -3, 9, -18],
 [8, 12, 1, 3, -48],
 [-10, -14, -12, 22, -16],
 [-14, -42, 9, 13, -40],
 [14, 20, 10, -14, -28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 3, -3, 5, -6],
 [-12, 9, -9, 15, -18],
 [-20, 15, -15, 25, -30],
 [0, 0, 0, 0, 0],
 [8, -6, 6, -10, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 15, 10, 30, 5],
 [-3, -9, -6, -18, -3],
 [6, 18, 12, 36, 6],
 [1, 3, 2, 6, 1],
 [4, 12, 8, 24, 4]]

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


[User]
Determine the rank of the following matrix:
[[24, -24, 0, 12, -15],
 [34, -31, 9, 23, -13],
 [-32, 28, -12, -24, 9],
 [14, -13, 3, 9, -6],
 [-18, 19, 3, -7, 14]]

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


[User]
Find the rank of the matrix:
[[-41, 29, 3, 45, -47],
 [5, -20, 20, -39, 7],
 [-9, -48, -54, -63, 3],
 [-42, 4, -11, 9, -43],
 [-25, -13, -43, -21, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -5, 32, 27, 9],
 [20, 16, -14, 11, 5],
 [15, 1, -28, -20, 0],
 [30, 22, -22, 15, 9],
 [5, 23, 18, 37, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 3, 0, -3, 4],
 [0, 0, 0, 0, 0],
 [18, 9, 0, -9, 12],
 [-30, -15, 0, 15, -20],
 [-6, -3, 0, 3, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[24, 4, 20, -14, -18],
 [-30, 16, -25, 21, 33],
 [-6, 26, -5, 8, 18],
 [0, 6, 0, 1, 3],
 [0, 24, 0, 4, 12]]

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


[User]
Find the rank of the matrix:
[[-3, 3, 18, -15, 0],
 [-9, 29, 54, 5, 30],
 [1, 3, -6, 15, 6],
 [0, 4, 0, 10, 6],
 [0, 4, 0, 10, 6]]

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


[User]
Find the rank of the matrix:
[[4, -20, 20, 16, 0],
 [-5, 25, -25, -20, 0],
 [-2, 10, -10, -8, 0],
 [-3, 15, -15, -12, 0],
 [-4, 20, -20, -16, 0]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[26, 22, 2, -12, 4],
 [30, 18, 0, -30, 6],
 [-17, -7, 1, 24, -4],
 [-9, -15, -3, -12, 0],
 [12, -12, -6, -54, 6]]

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


[User]
Determine the rank of the following matrix:
[[3, -13, -3, 22, -8],
 [17, -45, 20, 17, 5],
 [-70, 14, -27, 0, 31],
 [76, -34, 12, 11, -44],
 [-31, 32, 29, 24, 27]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -35, 24, 18, 14],
 [0, -1, 30, 9, -5],
 [0, -16, -14, 1, 11],
 [0, -2, -16, -4, 4],
 [0, 1, 8, 2, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -15, -13, 11, 6],
 [-14, -32, -40, 21, 16],
 [14, -44, 8, 7, 36],
 [12, -3, -12, -33, 33],
 [-15, -40, -9, 53, -7]]

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


[User]
What is the rank of the matrix:
[[4, -5, -8, 13, 6],
 [-4, -30, -27, 15, 36],
 [8, -10, -16, 26, 12],
 [-24, -35, -17, -26, 42],
 [-12, 5, 14, -31, -6]]?

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


[User]
What is the rank of the matrix:
[[-11, 7, 10, -18, 8],
 [28, 2, -24, 30, 8],
 [47, 16, -54, 49, 40],
 [-10, 4, -12, -2, 16],
 [-1, -1, 17, -10, -11]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, 0, -16, 24, -12],
 [9, 0, -12, 18, -9],
 [3, 0, -4, 6, -3],
 [12, 0, -16, 24, -12],
 [-3, 0, 4, -6, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[3, 41, -22, -1, -1],
 [-19, 24, -21, -6, 31],
 [-13, 37, -26, -5, 23],
 [0, 46, -26, -2, 4],
 [2, -11, 7, 1, -4]]?

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


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

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


[User]
Find the rank of the matrix:
[[-8, -13, -2, 61, -3],
 [-13, -37, -7, 13, 3],
 [28, 38, 24, 6, -38],
 [16, 9, 12, 50, -40],
 [43, 53, 35, -19, -56]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 6, -5, 3, 10],
 [-47, -4, 35, 8, -20],
 [-1, -2, -7, -64, -36],
 [-20, 40, 15, -25, 10],
 [12, -3, -3, 51, 30]]

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


[User]
What is the rank of the matrix:
[[52, -30, -82, 7, 17],
 [22, -30, -32, 8, 30],
 [-1, -16, -10, 20, 29],
 [26, 6, 12, -14, -13],
 [42, -13, -30, -44, -25]]?

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


[User]
Determine the rank of the following matrix:
[[5, 12, 10, -40, 10],
 [6, -19, 19, -28, -14],
 [-2, 46, -9, -51, 38],
 [1, -27, 1, 56, -24],
 [-13, 46, -24, -60, 42]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 14, -3, -3, -35],
 [-30, 2, -15, -9, -25],
 [0, 0, 0, -20, 44],
 [-30, 7, -15, -44, 40],
 [12, -4, 6, 28, -36]]

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


[User]
Find the rank of the matrix:
[[-1, 30, -2, -2, -4],
 [-5, -40, -5, 10, 0],
 [-21, 22, -26, 22, -20],
 [-3, -24, -3, 6, 0],
 [26, -20, 32, -28, 24]]

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


[User]
Determine the rank of the following matrix:
[[-18, -36, -24, -7, -30],
 [33, 33, -12, 55, 45],
 [5, 29, 44, -41, -12],
 [-20, -18, -7, -10, 0],
 [-40, -24, -10, -42, -22]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -10, 10, 4, 0],
 [4, 4, 0, -8, 20],
 [5, 5, 0, -10, 25],
 [8, 28, -25, -16, 15],
 [-18, -66, 60, 36, -30]]

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


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

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


[User]
Find the rank of the matrix:
[[-19, -10, -6, 16, -21],
 [-16, -16, 3, 4, -3],
 [19, 26, -11, 4, -10],
 [-43, -42, 7, 12, -10],
 [23, 18, 1, -12, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[17, -71, 32, 5, -18],
 [5, 5, -27, -60, 16],
 [-39, 17, -15, 12, -20],
 [16, 32, -3, 3, 22],
 [10, -30, 0, -30, 0]]

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


[User]
Find the rank of the matrix:
[[22, -24, 4, -43, 23],
 [-26, -3, 16, -8, 20],
 [7, -9, 18, 10, 8],
 [-15, 3, 6, -4, -5],
 [52, -9, -20, -15, -25]]

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


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

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


[User]
What is the rank of the matrix:
[[21, 27, 21, -5, 28],
 [57, 3, 1, -33, 36],
 [18, 0, 0, -12, 15],
 [-78, 6, 8, 44, -31],
 [15, 27, 21, -1, 23]]?

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


[User]
Calculate the rank of matrix A where A =
[[-3, -19, 18, -33, -36],
 [19, -33, -15, -52, -58],
 [-39, 1, 18, 3, -12],
 [13, 7, 26, 5, 22],
 [-60, 0, 6, 6, -24]]

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


[User]
What is the rank of the matrix:
[[28, -20, 14, -36, 18],
 [-12, 12, -10, 12, -6],
 [-1, 8, -9, -6, 3],
 [-8, 4, -2, 12, -6],
 [-6, 0, 2, 12, -6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-44, -4, 43, 63, -2],
 [-40, 1, 29, 27, -19],
 [-10, -1, -8, -30, -21],
 [13, 30, -26, 12, 6],
 [1, -28, 30, -24, -6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, -13, 8, 3, 4],
 [-4, -1, -17, -35, 31],
 [19, -4, 39, -1, -28],
 [-23, -25, 9, 8, -4],
 [-30, -40, -14, -38, 24]]

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


[User]
Determine the rank of the following matrix:
[[-23, -6, 10, -7, -25],
 [12, 8, -4, 0, 12],
 [31, -26, -22, 35, 41],
 [10, 14, -6, -10, 38],
 [-9, 1, 10, 0, -45]]

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


[User]
What is the rank of the matrix:
[[-9, 12, 0, 9, 3],
 [12, -16, 0, -12, -4],
 [-6, 8, 0, 6, 2],
 [0, 0, 0, 0, 0],
 [-9, 12, 0, 9, 3]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -23, 10, 20, 12],
 [-1, 13, -6, -10, -8],
 [-32, 2, -8, 25, -26],
 [13, -7, 6, -5, 14],
 [-25, 1, -6, 20, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, -3, -10, 0, -15],
 [-6, 3, -34, 8, 11],
 [-45, 23, 5, 47, 3],
 [-25, -5, 33, -5, -33],
 [-51, 8, 11, 23, -24]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, -10, -10, -14, 18],
 [7, -12, -3, -15, 26],
 [8, -42, 9, -15, 52],
 [20, -28, -5, -21, 42],
 [22, -5, -12, -8, 5]]

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


[User]
What is the rank of the matrix:
[[-19, 6, -4, -5, 7],
 [-5, -3, -11, 17, 5],
 [-1, 8, 8, -29, -5],
 [-5, -3, -11, 17, 5],
 [33, 2, 30, 23, -31]]?

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


[User]
Calculate the rank of matrix A where A =
[[-3, -9, -10, -2, -6],
 [3, -7, -12, 0, 10],
 [-6, 23, 12, 3, 9],
 [-3, -44, -63, -6, 9],
 [12, 7, 44, 1, -25]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 17, -20, -2, -11],
 [-10, -11, -20, 22, 9],
 [-4, 28, -35, -2, -18],
 [2, 7, 0, -6, -5],
 [12, 18, 20, -28, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 1, -8, -3, -6],
 [20, -1, -34, -4, -29],
 [8, 5, -46, -16, -35],
 [8, -1, -10, 0, -9],
 [10, 4, -44, -14, -34]]

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


[User]
What is the rank of the matrix:
[[8, -52, 4, -34, -52],
 [-30, -40, -26, -24, -28],
 [-15, -9, 3, -12, -45],
 [-1, 3, -5, 9, 4],
 [5, 69, 25, 39, 10]]?

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


[User]
Calculate the rank of matrix A where A =
[[-29, -48, 8, -45, -77],
 [27, 35, 15, 12, 42],
 [-6, 6, -19, 36, 37],
 [-47, -40, -33, 39, -6],
 [5, 14, -25, 28, 28]]

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


[User]
Find the rank of the matrix:
[[-22, 6, -29, -2, -12],
 [-5, 12, 20, 14, 3],
 [24, -12, 0, 56, -3],
 [-30, 4, -38, -16, -17],
 [37, -39, -1, -10, -1]]

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


[User]
Find the rank of the matrix:
[[5, -10, 28, 34, 24],
 [-13, 18, -26, -22, -24],
 [27, -4, 18, 44, 30],
 [30, 4, 6, 40, 24],
 [12, 45, -68, -27, -37]]

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


[User]
Calculate the rank of matrix A where A =
[[-21, -10, 21, 8, -2],
 [-20, 19, 14, -16, -35],
 [2, -23, -8, 6, 3],
 [38, 44, -30, -20, 4],
 [-9, -35, -3, 7, -7]]

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


[User]
Find the rank of the matrix:
[[6, -8, 2, 0, 8],
 [-18, 24, -6, 0, -24],
 [-12, 16, -4, 0, -16],
 [-3, 4, -1, 0, -4],
 [-6, 8, -2, 0, -8]]

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


[User]
Determine the rank of the following matrix:
[[-14, -29, 16, -30, 22],
 [3, 28, -20, 48, 0],
 [23, 31, -12, 22, -37],
 [-6, 9, -16, 10, 3],
 [-28, -8, -16, 8, 38]]

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


[User]
Find the rank of the matrix:
[[-19, -28, -25, 15, -19],
 [18, 2, -15, 4, 10],
 [55, 14, 4, -1, 15],
 [-5, -26, -32, 17, -13],
 [34, 0, -2, 4, 2]]

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


[User]
What is the rank of the matrix:
[[-20, -20, 10, 15, -15],
 [-12, -12, 6, 9, -9],
 [8, 8, -4, -6, 6],
 [-8, -8, 4, 6, -6],
 [-24, -24, 12, 18, -18]]?

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


[User]
Find the rank of the matrix:
[[13, 23, 15, -1, 18],
 [-13, 35, 7, -27, 21],
 [25, -15, -8, 44, -3],
 [-4, -18, 5, -11, -15],
 [-9, -35, 13, -27, -30]]

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


[User]
What is the rank of the matrix:
[[6, 0, 0, 15, 0],
 [3, 2, 39, -26, 6],
 [2, 8, -6, 0, 0],
 [4, 3, 18, -8, 3],
 [17, -1, 21, 27, 3]]?

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


[User]
Find the rank of the matrix:
[[17, -40, -13, -11, -34],
 [-18, -68, -24, -46, -24],
 [48, -22, -27, 22, -18],
 [31, 18, -14, 33, 16],
 [8, -18, -1, -6, -22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -15, 10, -13, -11],
 [-12, -1, 5, 0, 14],
 [-6, 17, -10, 15, 17],
 [-8, -3, 5, -2, 8],
 [-14, -28, 25, -23, 1]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -30, -18, -75, 18],
 [-15, -30, -12, -57, 3],
 [24, 18, 0, -6, 30],
 [15, 20, 0, 45, -5],
 [2, 3, 6, -14, 13]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 32, 22, 23, -5],
 [-3, -32, -35, -12, -8],
 [4, -10, -28, -18, -4],
 [2, -10, -28, -21, -1],
 [10, 44, 40, 17, 7]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 8, -11, 0, 25],
 [-31, -12, -32, 23, 28],
 [8, -38, -21, 2, -27],
 [-3, -10, -14, 3, 4],
 [-14, 45, 38, 4, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -30, 12, 0, -22],
 [3, 30, -21, 3, 29],
 [6, 40, -22, 2, 34],
 [-6, -35, 17, -1, -28],
 [-9, -45, 18, 0, -33]]

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


[User]
Determine the rank of the following matrix:
[[-2, 7, -1, -7, 13],
 [0, 1, 0, -4, 8],
 [-18, 51, -9, -15, 21],
 [12, -34, 6, 10, -14],
 [16, -43, 8, 4, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[29, 7, 14, -21, -55],
 [3, 1, 0, -4, -1],
 [21, 15, -4, 14, -23],
 [39, 13, 14, -17, -69],
 [-4, 0, -4, 4, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[1, -1, 2, -2, -1],
 [-1, 1, -2, 2, 1],
 [-2, 2, -4, 4, 2],
 [-1, 1, -2, 2, 1],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[28, -33, 6, 5, 12],
 [18, -45, 72, -39, -6],
 [-4, 15, 9, -5, -2],
 [-68, 15, -32, 4, -14],
 [16, -39, 57, -29, -2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[27, 0, 23, 0, -8],
 [-8, 20, -12, 20, -8],
 [38, 40, 22, 40, -32],
 [45, 36, 29, 36, -32],
 [-14, 8, -14, 8, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, 25, 30, 30, 5],
 [-36, 30, 36, 36, 6],
 [-36, 30, 36, 36, 6],
 [-6, 5, 6, 6, 1],
 [6, -5, -6, -6, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -12, -12, -24, 30],
 [22, 9, 12, 25, -27],
 [8, -8, 10, 26, -7],
 [12, 6, 6, 12, -15],
 [-32, -8, -20, -44, 38]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -12, 4, -2, -6],
 [4, 6, -2, 1, 3],
 [8, 12, -4, 2, 6],
 [20, 30, -10, 5, 15],
 [-12, -18, 6, -3, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[33, -20, -34, 4, -15],
 [-17, -4, -24, -34, -43],
 [-45, 9, 14, -12, 39],
 [14, 7, 14, -11, -7],
 [-1, 9, 24, 48, 7]]

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


[User]
Find the rank of the matrix:
[[-6, -4, 36, 23, -16],
 [-25, 10, 25, -38, -14],
 [4, 42, 12, 30, -24],
 [-7, -3, -3, -24, 3],
 [9, 8, 27, 14, -34]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 0, -30, 22, -2],
 [-29, 0, 18, 0, 32],
 [29, 0, -18, 0, -32],
 [-5, 0, -36, 27, -1],
 [30, 0, -36, 12, -36]]

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


[User]
What is the rank of the matrix:
[[-17, -4, -10, -7, -5],
 [-20, 14, 14, 20, -20],
 [2, 4, 6, 7, -1],
 [-41, -21, -41, -6, 32],
 [-21, -14, -26, 4, 34]]?

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


[User]
Determine the rank of the following matrix:
[[7, 3, -5, 25, 3],
 [40, 15, -30, -8, -33],
 [9, -9, -16, -3, -36],
 [-14, -34, -19, 48, -47],
 [-5, 18, 46, -29, 63]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 6, -3, -9, 3],
 [0, -10, 5, 15, -5],
 [0, 4, -2, -6, 2],
 [0, -12, 6, 18, -6],
 [0, 8, -4, -12, 4]]

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


[User]
Determine the rank of the following matrix:
[[-31, -51, 28, -21, 41],
 [-52, -60, 14, 2, 54],
 [-58, -69, 8, 3, 35],
 [-52, -66, 46, -36, 56],
 [-28, -4, -9, 12, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 6, 10, -2, -4],
 [50, 33, 7, -41, 8],
 [30, 21, 19, -17, -4],
 [18, 9, -33, -33, 24],
 [36, 24, 8, -28, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -24, 8, 3, 8],
 [6, 38, 0, 1, -18],
 [-56, -54, 28, 22, 43],
 [-29, -23, 4, 7, 25],
 [1, 33, 16, 9, -20]]

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


[User]
What is the rank of the matrix:
[[-6, 34, 13, 1, -25],
 [-24, -32, -11, 25, 5],
 [24, -24, -10, -18, 30],
 [-18, -42, -15, 21, 15],
 [6, 30, 11, -9, -15]]?

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


[User]
Determine the rank of the following matrix:
[[4, -20, -12, 16, 24],
 [-1, 5, 3, -4, -6],
 [1, -5, -3, 4, 6],
 [4, -20, -12, 16, 24],
 [-2, 10, 6, -8, -12]]

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


[User]
What is the rank of the matrix:
[[18, -46, 10, 14, 22],
 [3, 35, 12, 15, -8],
 [-5, 39, -2, 4, -9],
 [-12, 23, -6, -16, -25],
 [59, -9, -7, 76, 58]]?

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


[User]
Determine the rank of the following matrix:
[[-15, 1, 0, -38, -6],
 [42, -42, 28, -50, -32],
 [18, -16, 10, -11, -10],
 [78, 10, -26, 13, -1],
 [-36, -14, 26, -27, -14]]

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


[User]
Determine the rank of the following matrix:
[[-21, -13, 11, 19, -19],
 [-6, 17, 6, -21, -8],
 [-21, 11, 16, -8, -20],
 [42, 10, -2, 30, 66],
 [-18, -26, -17, -17, -43]]

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


[User]
Find the rank of the matrix:
[[20, -24, -16, -4, 4],
 [30, -36, -24, -6, 6],
 [-5, 6, 4, 1, -1],
 [30, -36, -24, -6, 6],
 [20, -24, -16, -4, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -16, 24, 8, -24],
 [-22, -19, 19, 26, 34],
 [26, 18, -18, -32, -40],
 [18, 20, -20, -20, -28],
 [1, -25, 38, -16, -70]]

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


[User]
Calculate the rank of matrix A where A =
[[7, 50, 21, -1, 9],
 [-12, -51, -27, -6, -9],
 [14, 46, 28, 10, 8],
 [-10, -56, -26, -2, -10],
 [-17, -25, -26, -19, -4]]

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


[User]
What is the rank of the matrix:
[[-37, 7, 24, -35, 50],
 [-21, 6, -76, 39, -52],
 [10, 0, -12, 14, -8],
 [-1, 12, 35, -20, 22],
 [-11, 28, 78, -49, 64]]?

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


[User]
Calculate the rank of matrix A where A =
[[33, 12, -27, 27, -40],
 [45, -12, -3, 3, -32],
 [-32, 34, 5, -1, 9],
 [27, -10, 16, -28, -63],
 [-60, 26, 42, -62, -48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, -19, -29, 17, 20],
 [-49, 61, 11, -19, -30],
 [34, -46, -26, 22, 30],
 [-8, 2, -38, 16, 15],
 [1, -9, -39, 19, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[50, -5, 34, -31, -18],
 [-26, -27, -21, -27, 11],
 [-26, -1, -31, 91, -27],
 [-49, 5, -30, 10, 27],
 [-37, -25, -34, 16, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 24, 0, 36, -18],
 [0, 0, 0, 0, 0],
 [12, -24, 0, -36, 18],
 [6, -12, 0, -18, 9],
 [-2, 4, 0, 6, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 3, 19, 10, 12],
 [-25, 9, 27, -18, -20],
 [-41, 21, 55, -24, -22],
 [-14, 6, 32, -5, -7],
 [-9, -12, 23, -9, -27]]

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


[User]
Determine the rank of the following matrix:
[[-51, 6, -21, -24, 18],
 [-36, -4, -10, -18, 4],
 [-11, 30, 17, -26, -28],
 [22, -24, -15, 31, 29],
 [-27, -28, -19, 0, 19]]

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


[User]
What is the rank of the matrix:
[[2, 15, -21, -17, -21],
 [18, -40, 14, 8, 42],
 [-32, 35, 17, 19, -27],
 [-24, 45, -9, -3, -45],
 [-31, 5, 50, 45, 12]]?

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


[User]
Calculate the rank of matrix A where A =
[[-17, -38, -2, 41, -6],
 [-14, -29, -4, 32, -8],
 [19, 36, 4, -17, -18],
 [-8, 21, -34, -44, -8],
 [24, 18, 35, -9, 26]]

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


[User]
Determine the rank of the following matrix:
[[3, 3, 6, 6, 0],
 [3, -27, 19, 14, -46],
 [18, -12, 49, 44, -46],
 [4, -14, -5, 0, -18],
 [-15, 9, -56, -46, 44]]

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


[User]
What is the rank of the matrix:
[[12, 7, 14, -4, -28],
 [4, 8, -18, 10, 2],
 [-6, -8, 11, -7, 5],
 [0, 2, -8, 4, 4],
 [6, 1, 17, -7, -19]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 34, 36, 36, 2],
 [4, 27, 26, 22, -5],
 [15, -5, -15, -30, -25],
 [-8, 14, 20, 28, 14],
 [22, 4, -10, -32, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[46, -9, -24, -9, 23],
 [-36, 40, 44, -32, -28],
 [49, -73, -19, 65, 34],
 [-32, -10, -6, 23, 20],
 [-35, -22, 33, 41, -19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[35, -2, 16, -51, 41],
 [8, -17, 2, -9, 17],
 [-19, -30, 0, 39, -37],
 [-21, -33, -2, 42, -36],
 [10, -9, 6, -12, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 36, 4, 21, -12],
 [13, 24, -6, 27, 18],
 [-30, 0, 12, -18, -36],
 [2, -24, 0, -18, 0],
 [-38, -24, 16, -42, -48]]

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


[User]
Determine the rank of the following matrix:
[[-45, 10, -7, -16, -6],
 [-24, -16, -22, -2, 10],
 [-63, -10, -12, -11, -7],
 [-27, 22, -20, -27, -3],
 [9, 4, -44, -16, 23]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -19, -9, -24, -27],
 [19, -32, -4, -8, -2],
 [-9, 29, 0, -19, 29],
 [-10, 18, 23, 6, 17],
 [-28, 34, 58, 26, -16]]

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


[User]
What is the rank of the matrix:
[[12, -40, 11, -41, 12],
 [9, -3, -21, 3, -18],
 [9, -25, 22, -32, -36],
 [16, -38, 7, -39, -18],
 [2, 8, -23, 15, 6]]?

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


[User]
Find the rank of the matrix:
[[38, 19, 10, 26, 2],
 [-26, -22, -22, -35, 13],
 [32, -29, 10, -12, 49],
 [20, 55, -13, 17, 12],
 [40, 2, 10, 15, 16]]

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