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

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


[User]
Calculate the rank of matrix A where A =
[[-17, 17, 51, -36, 5],
 [-13, 13, 39, -24, 5],
 [-18, 36, -24, -6, -8],
 [6, 6, -70, 24, -14],
 [22, -40, 12, 12, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[26, -21, 16, 14, 65],
 [21, 43, -37, 30, 2],
 [5, -40, 19, 10, 23],
 [-26, -34, 22, -16, -24],
 [-4, -42, 36, -44, -2]]

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


[User]
What is the rank of the matrix:
[[-24, 6, -24, -36, -18],
 [16, -4, 16, 24, 12],
 [8, -2, 8, 12, 6],
 [-4, 1, -4, -6, -3],
 [-12, 3, -12, -18, -9]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-69, -27, -24, 30, 0],
 [28, -24, -2, -45, 24],
 [4, 6, -38, 25, 18],
 [-18, -42, -26, 13, 40],
 [11, 42, -4, -8, -33]]

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


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

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


[User]
What is the rank of the matrix:
[[15, -26, 8, -18, 13],
 [-10, 14, 16, -7, 9],
 [24, -10, -24, 10, -24],
 [-1, 20, 32, -29, 8],
 [40, 18, 65, -58, 24]]?

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


[User]
What is the rank of the matrix:
[[-9, 31, -25, 14, -34],
 [-25, -12, 1, 17, 13],
 [12, -43, 22, -23, 19],
 [16, 17, -31, -43, -21],
 [-10, 24, -12, 36, -46]]?

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


[User]
Determine the rank of the following matrix:
[[0, 24, -12, -36, 24],
 [0, 24, -12, -36, 24],
 [0, 4, -2, -6, 4],
 [0, 24, -12, -36, 24],
 [0, 16, -8, -24, 16]]

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


[User]
Find the rank of the matrix:
[[-30, -23, -29, -45, -16],
 [-43, -8, 39, 3, -54],
 [-54, 2, 10, 13, -43],
 [18, 13, -7, 8, 22],
 [-14, 15, 9, 49, -9]]

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


[User]
Determine the rank of the following matrix:
[[-32, 17, 35, -41, 37],
 [-44, -4, 28, -8, 13],
 [12, -61, 8, -26, -28],
 [-10, -59, 15, 7, -29],
 [-1, 44, 3, 19, 27]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, 46, -38, 50, -7],
 [-41, -13, -57, 34, -51],
 [14, 27, 4, 7, -10],
 [66, 30, 18, -24, 30],
 [-32, -1, -94, 45, -42]]

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


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

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


[User]
Find the rank of the matrix:
[[-17, -36, -24, 35, 32],
 [33, -32, -42, 0, 36],
 [37, -23, -15, -1, 20],
 [-13, -47, -51, 34, 49],
 [-13, 20, 36, 1, -20]]

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


[User]
What is the rank of the matrix:
[[-10, -2, 8, 12, 2],
 [-20, -4, 16, 24, 4],
 [33, 9, 0, -48, 27],
 [7, 3, 12, -14, 21],
 [13, 3, -6, -17, 3]]?

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[User]
Calculate the rank of matrix A where A =
[[-43, 10, 23, -12, 5],
 [-60, 9, 39, -20, 3],
 [10, 0, 17, 0, 2],
 [43, -8, -18, 12, -3],
 [-17, 1, 21, -8, 0]]

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[User]
Calculate the rank of matrix A where A =
[[-23, 4, 24, 8, 41],
 [2, -4, -7, -1, -4],
 [-20, -9, -7, -2, 12],
 [13, -19, -25, 2, -3],
 [0, 0, 7, 5, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[-36, -12, -24, -24, -30],
 [-24, -8, -16, -16, -20],
 [-6, -2, -4, -4, -5],
 [18, 6, 12, 12, 15],
 [0, 0, 0, 0, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[-6, -6, -6, -6, 0],
 [8, 8, 8, 8, 0],
 [10, 10, 10, 10, 0],
 [-6, -6, -6, -6, 0],
 [8, 8, 8, 8, 0]]

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


[User]
Find the rank of the matrix:
[[-2, 4, -8, 22, 32],
 [28, -22, 40, -8, -2],
 [-25, -22, -11, 1, 17],
 [-32, -39, -7, -4, 20],
 [19, 33, -4, 17, 5]]

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[User]
What is the rank of the matrix:
[[-32, 16, 32, 59, 12],
 [61, 14, 22, -33, -25],
 [-71, -3, -6, 57, 28],
 [-23, -4, -11, 5, 2],
 [-6, -14, -12, -14, -8]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[4, -11, -12, -22, -30],
 [-26, 43, -11, -57, 5],
 [-4, 2, -24, -12, -12],
 [-40, 50, -8, -16, 20],
 [-49, 56, 21, -1, 27]]

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


[User]
What is the rank of the matrix:
[[-8, 16, -12, 8, 14],
 [-12, 24, -18, 12, 21],
 [-17, -11, 24, 17, 5],
 [-5, -15, 20, 5, -5],
 [-34, 18, 4, 34, 32]]?

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[User]
Calculate the rank of matrix A where A =
[[54, 29, 2, 9, -17],
 [-21, -27, -18, -1, -13],
 [34, 6, 10, 36, 1],
 [-16, 1, -18, -39, -17],
 [-41, 0, 14, -30, 30]]

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


[User]
What is the rank of the matrix:
[[-9, -11, 9, 32, 11],
 [25, 2, -7, 6, -31],
 [5, 38, 3, -26, -16],
 [4, 11, -10, -42, -4],
 [-14, 35, 8, -30, 8]]?

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

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


[User]
Determine the rank of the following matrix:
[[-20, -20, -8, 20, 4],
 [10, -25, -34, -20, 27],
 [12, -9, -18, -18, 15],
 [-20, -20, -8, 20, 4],
 [9, 37, 34, -1, -25]]

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


[User]
Find the rank of the matrix:
[[18, 30, -18, 6, 24],
 [-12, -20, 12, -4, -16],
 [0, 0, 0, 0, 0],
 [18, 30, -18, 6, 24],
 [18, 30, -18, 6, 24]]

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


[User]
Find the rank of the matrix:
[[12, 19, 4, -24, -32],
 [-7, -20, 8, -23, 26],
 [4, -4, 7, -22, 4],
 [46, -4, 19, -20, 24],
 [62, 16, 20, -26, -4]]

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[User]
Calculate the rank of matrix A where A =
[[55, -44, -26, 19, 6],
 [-40, 32, 23, -22, -18],
 [-10, 8, 14, -22, -32],
 [30, -24, -21, 24, 26],
 [30, -24, -21, 24, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -4, -6, 11, -23],
 [22, -16, 18, -19, -1],
 [8, -9, -3, 9, -29],
 [-26, 18, -24, 27, -7],
 [-18, 14, -12, 11, 9]]

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


[User]
Determine the rank of the following matrix:
[[17, -31, 20, -3, -14],
 [1, 15, -21, 9, 16],
 [10, -4, -7, 6, 6],
 [-30, 12, 21, -18, -18],
 [18, -16, -1, 6, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[36, 5, 38, 0, -10],
 [24, -15, 22, 20, -30],
 [24, 30, 28, -7, 18],
 [-27, -4, -30, 15, 1],
 [-42, 4, -44, 4, 18]]

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


[User]
Find the rank of the matrix:
[[-38, -31, -53, -4, 46],
 [-14, -11, -17, 0, 14],
 [0, 9, 4, -16, -18],
 [18, 18, -5, -34, 0],
 [-20, -6, -6, -4, -12]]

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


[User]
Find the rank of the matrix:
[[19, -54, 16, 20, -20],
 [11, 26, -32, -4, 4],
 [16, -72, 34, 23, -26],
 [31, -30, 4, 2, -44],
 [-2, -12, 28, -10, -26]]

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


[User]
Find the rank of the matrix:
[[20, -20, 4, -16, -8],
 [-30, -2, 14, 8, 28],
 [0, -8, 5, -4, 4],
 [-10, 42, -22, 24, -12],
 [30, -14, -4, -16, -20]]

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


[User]
Find the rank of the matrix:
[[-38, 17, 43, 34, -4],
 [-26, -10, -12, -21, 6],
 [-14, 30, -52, -17, -54],
 [30, 18, -3, 15, -17],
 [62, -2, -44, -23, -6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, -36, -16, 28, 28],
 [-24, 12, 22, 50, 6],
 [-28, 41, -16, -31, -54],
 [19, -11, 52, 36, 42],
 [36, -4, -18, 6, 14]]

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


[User]
Find the rank of the matrix:
[[12, -7, 20, 5, 12],
 [-5, 2, 6, 6, 24],
 [-5, -19, 46, -31, 36],
 [-12, -9, 25, -22, 30],
 [-22, 28, -52, 28, 0]]

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


[User]
Find the rank of the matrix:
[[10, 4, 0, -8, 8],
 [13, 10, 0, -4, 12],
 [32, 20, 0, -16, 28],
 [5, 2, 0, -4, 4],
 [15, 18, 0, 4, 16]]

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


[User]
What is the rank of the matrix:
[[-10, 15, -30, 0, 0],
 [-12, 18, -36, 0, 0],
 [6, -9, 18, 0, 0],
 [6, -9, 18, 0, 0],
 [-4, 6, -12, 0, 0]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, -24, 3, -20, -67],
 [-32, -5, -11, -13, 7],
 [40, 39, 66, -76, 19],
 [5, 7, 14, 5, 37],
 [-6, -9, 0, -6, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -15, 28, -8, 24],
 [15, 35, -29, 29, -41],
 [24, 38, -39, 22, -38],
 [11, 49, -39, 28, -32],
 [23, -61, 38, -49, 21]]

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


[User]
Calculate the rank of matrix A where A =
[[56, 38, 1, 6, -29],
 [-30, -28, -38, -10, 2],
 [23, 14, -18, -11, -24],
 [14, 1, -16, 23, 0],
 [-5, -12, -29, 7, -1]]

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


[User]
Find the rank of the matrix:
[[-5, -17, -24, -2, -12],
 [0, -13, -10, 3, -9],
 [7, -11, -30, -26, -27],
 [35, 36, 34, -37, -11],
 [-9, 20, 8, -3, 20]]

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


[User]
Find the rank of the matrix:
[[24, -4, -16, -24, 16],
 [36, -6, -24, -36, 24],
 [-36, 6, 24, 36, -24],
 [12, -2, -8, -12, 8],
 [-30, 5, 20, 30, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -5, 4, -9, -1],
 [2, 25, 15, 24, 40],
 [-18, -30, -31, -21, -61],
 [-48, 30, -24, 54, 6],
 [-16, 10, -8, 18, 2]]

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


[User]
Find the rank of the matrix:
[[10, -9, 6, -8, 19],
 [-28, -14, -54, -4, 13],
 [-10, 19, -32, 8, -21],
 [-43, -22, 7, -3, 28],
 [3, 14, -52, 1, -11]]

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


[User]
Determine the rank of the following matrix:
[[10, 32, -42, 16, 6],
 [-27, -37, 47, -14, 14],
 [-11, 22, -26, -40, 19],
 [28, 22, -26, -4, -26],
 [0, -13, 17, -2, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[51, -23, 5, -18, -22],
 [24, 6, -29, 42, -57],
 [-39, 12, 4, 42, 9],
 [-6, 5, -4, -6, 4],
 [-3, -7, 17, -54, 40]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 20, -11, 12, 14],
 [-22, 12, -11, -28, 26],
 [0, 20, -11, 12, 14],
 [-25, 20, -16, -28, 34],
 [-21, 16, -13, -24, 28]]

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


[User]
Determine the rank of the following matrix:
[[29, -16, -21, -27, 28],
 [-34, 14, 24, 30, -26],
 [-30, -12, 18, 18, 12],
 [-34, 14, 24, 30, -26],
 [29, -16, -21, -27, 28]]

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


[User]
Calculate the rank of matrix A where A =
[[19, 3, 23, -14, 2],
 [21, 14, 30, 12, -10],
 [10, -1, 11, -14, 4],
 [-18, -1, -21, 18, -4],
 [-14, -14, -22, -20, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[7, 6, -40, 15, -2],
 [35, -10, 20, 3, -6],
 [13, -6, 20, -3, -2],
 [42, -4, -20, 18, -8],
 [21, -12, 45, -9, -3]]?

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


[User]
Find the rank of the matrix:
[[-12, -26, 0, 40, -10],
 [-4, -14, 8, 32, -6],
 [-16, -28, -10, 30, -10],
 [18, 25, 21, -11, 8],
 [-20, -26, -26, 6, -8]]

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


[User]
What is the rank of the matrix:
[[26, -50, 8, 19, 26],
 [-41, -5, -23, 56, -37],
 [14, -18, 30, 6, 18],
 [-4, 28, -10, -26, -7],
 [-24, 20, -12, 9, -23]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 53, -25, 17, 29],
 [34, -12, 12, 7, -17],
 [23, -43, 23, 25, 4],
 [9, 69, -30, -45, -48],
 [-27, -19, 11, 5, 38]]

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


[User]
Determine the rank of the following matrix:
[[8, 32, -32, -12, 12],
 [-1, -4, 13, 15, -24],
 [-10, -40, 40, 15, -15],
 [2, 8, -12, -9, 13],
 [1, 4, -9, -9, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-21, 4, -18, -37, -12],
 [25, -21, 17, -15, 1],
 [-32, 26, -22, 16, -2],
 [8, -12, 4, -24, -4],
 [22, -11, 17, 14, 7]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[21, -33, -9, 0, -3],
 [4, 23, 13, 19, -20],
 [10, 12, 15, 23, -22],
 [7, 4, 39, 42, -25],
 [27, -18, 3, 18, -21]]

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


[User]
What is the rank of the matrix:
[[-3, -2, -40, 5, 8],
 [15, -21, 30, -19, -29],
 [-40, 13, -10, -63, -35],
 [25, -24, 28, 48, 12],
 [28, -3, 46, 3, -3]]?

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


[User]
Calculate the rank of matrix A where A =
[[-2, -30, -31, -29, -50],
 [-3, 9, 9, 3, 15],
 [-4, 2, -7, -18, 1],
 [10, -19, -31, -28, -27],
 [-7, 4, 45, 59, 15]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-48, 65, -16, 16, -24],
 [38, -38, 46, -22, 14],
 [24, -20, -26, -5, -26],
 [-6, 23, 26, 2, 58],
 [-24, 12, 30, -1, -18]]

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


[User]
Find the rank of the matrix:
[[42, -24, 15, 32, -17],
 [36, -33, 4, 33, 6],
 [-12, -12, -8, 0, -8],
 [-34, -23, 9, -17, 19],
 [4, -10, -42, 18, 10]]

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


[User]
What is the rank of the matrix:
[[34, 44, -42, 26, 12],
 [-38, -37, 30, -17, 13],
 [7, 5, 25, 6, -19],
 [-11, -22, -17, -23, -2],
 [-18, -15, -10, -9, 21]]?

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


[User]
Find the rank of the matrix:
[[0, 0, -20, -24, 4],
 [0, 0, -10, -12, 2],
 [0, 0, -25, -30, 5],
 [0, 0, -30, -36, 6],
 [0, 0, -20, -24, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[46, 30, 5, 0, 26],
 [34, 48, 23, -18, 20],
 [2, -60, -42, 35, 7],
 [-22, 18, 22, -23, -11],
 [-18, 6, 20, -31, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-35, 15, 21, 25, -9],
 [-3, 38, 56, 8, 30],
 [-18, 42, 82, 6, 44],
 [37, -36, -36, -8, -26],
 [-59, 14, 12, 36, -22]]

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


[User]
Find the rank of the matrix:
[[11, -9, -21, -21, 0],
 [-43, 30, 7, 48, 6],
 [1, -9, 9, 39, 0],
 [24, -5, 3, -69, -5],
 [6, -4, 1, -6, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, -40, -19, -15, -7],
 [-12, -46, -22, -18, -6],
 [-3, -18, -9, -9, 3],
 [-7, -3, 0, 6, -20],
 [8, 35, 17, 15, 1]]

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


[User]
Find the rank of the matrix:
[[6, -30, -22, -20, -18],
 [2, -10, 2, -8, -2],
 [3, -15, 10, -13, 0],
 [0, 0, -28, 4, -12],
 [-7, 35, 28, 23, 22]]

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


[User]
Find the rank of the matrix:
[[-20, 22, 8, 6, -8],
 [19, -16, -2, 9, -19],
 [20, -15, 0, 15, -30],
 [-21, 14, -2, -21, 41],
 [1, 1, 2, 6, -11]]

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


[User]
What is the rank of the matrix:
[[7, 55, 11, -19, -31],
 [-4, -36, 16, 7, 29],
 [8, 16, -64, 15, 39],
 [-36, -33, 12, 66, 5],
 [-12, 15, -36, 51, 54]]?

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


[User]
Calculate the rank of matrix A where A =
[[11, -20, -12, -8, -48],
 [-16, -4, 8, -16, -38],
 [2, -31, 33, 11, 60],
 [66, -29, 7, 47, 48],
 [-43, 22, -10, -30, -24]]

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


[User]
Determine the rank of the following matrix:
[[1, -22, 2, -22, -17],
 [-33, 6, 34, 6, 21],
 [-22, -20, 26, -20, -4],
 [33, -6, -34, -6, -21],
 [-12, -24, 16, -24, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -15, -16, 16, -8],
 [25, 25, -35, -15, -5],
 [-3, -18, 3, 15, -3],
 [-22, -7, 32, 0, 8],
 [14, 9, -20, -4, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[-25, 30, 20, -5, -5],
 [-22, -12, 26, 4, 28],
 [-37, 6, 38, 1, 25],
 [-30, 36, 24, -6, -6],
 [-14, 36, 7, -7, -19]]?

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


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

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


[User]
Find the rank of the matrix:
[[-5, 8, -4, 14, 7],
 [1, -16, 32, 2, 37],
 [0, 6, -13, -2, -16],
 [-14, 32, -32, 36, -6],
 [-16, 34, -31, 42, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -2, -27, 23, -11],
 [12, 6, 16, -14, -2],
 [36, 8, -22, 18, -26],
 [24, 10, 18, -16, -8],
 [0, 6, 42, -36, 12]]

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


[User]
Determine the rank of the following matrix:
[[30, -30, 36, 12, -12],
 [-30, 30, -36, -12, 12],
 [-30, 30, -36, -12, 12],
 [0, 0, 0, 0, 0],
 [10, -10, 12, 4, -4]]

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


[User]
Find the rank of the matrix:
[[30, 20, 15, 0, 25],
 [6, 4, 3, 0, 5],
 [-18, -12, -9, 0, -15],
 [12, 8, 6, 0, 10],
 [36, 24, 18, 0, 30]]

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


[User]
Determine the rank of the following matrix:
[[3, -17, 26, -53, 7],
 [25, -7, -2, -2, 4],
 [-1, -5, 12, 34, -6],
 [-9, 11, -15, 16, -5],
 [25, -24, 18, -21, -13]]

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


[User]
What is the rank of the matrix:
[[-50, -5, -2, -49, -11],
 [-22, 12, -40, -14, 23],
 [-48, -8, -3, -35, -13],
 [10, -16, 19, 41, -20],
 [-20, 0, -50, 18, 12]]?

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


[User]
Determine the rank of the following matrix:
[[-18, -48, 21, 1, 16],
 [-13, 42, -1, 13, 16],
 [8, -64, 0, -14, -8],
 [38, -14, -34, -40, 24],
 [1, 20, 12, 8, -24]]

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


[User]
What is the rank of the matrix:
[[45, 7, 16, -15, 14],
 [11, -3, -3, -4, 16],
 [51, 13, 0, 31, -22],
 [-20, 7, -13, -6, -8],
 [63, 2, 1, 49, -14]]?

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


[User]
Find the rank of the matrix:
[[5, 3, -7, -8, 20],
 [4, 39, -31, -35, 17],
 [-12, 14, -6, -20, -41],
 [12, -30, 5, 1, 46],
 [-14, 18, 8, 10, -42]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 21, 11, 10, 5],
 [-5, 1, 7, 10, 9],
 [-9, -27, 15, 30, 33],
 [-9, 9, 12, 15, 12],
 [0, 12, -1, -5, -7]]

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


[User]
Determine the rank of the following matrix:
[[24, 46, 24, 42, 35],
 [-3, -24, 3, -19, -19],
 [-6, 20, -6, 14, 42],
 [8, 27, 7, 23, 28],
 [-6, -18, -12, -16, -34]]

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


[User]
What is the rank of the matrix:
[[-7, -29, 5, 9, -18],
 [-4, 15, -19, -24, 31],
 [-6, -10, -6, -6, 4],
 [-9, -41, 9, 15, -28],
 [3, -8, 12, 15, -19]]?

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


[User]
What is the rank of the matrix:
[[11, 0, 12, 26, -6],
 [-6, -36, -36, -24, 0],
 [6, -8, 0, 12, -4],
 [-3, 37, 27, 3, 5],
 [3, 51, 45, 21, 3]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, -3, -12, -12, 15],
 [30, 18, 60, 6, -66],
 [-15, -2, -2, 25, -2],
 [-10, 0, 4, 22, -8],
 [-10, -3, -8, 10, 7]]?

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[User]
Calculate the rank of matrix A where A =
[[1, 19, -71, -46, 26],
 [-25, -12, -7, 0, -12],
 [58, -34, -7, 40, -27],
 [-46, 32, 43, 3, -53],
 [49, 10, -31, 3, -22]]

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


[User]
What is the rank of the matrix:
[[2, -4, -12, 10, 4],
 [6, -12, -36, 30, 12],
 [-1, 2, 6, -5, -2],
 [4, -8, -24, 20, 8],
 [1, -2, -6, 5, 2]]?

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


[User]
Find the rank of the matrix:
[[-44, 12, -6, -34, -31],
 [-26, 6, -22, -6, -30],
 [20, -10, -20, 20, 25],
 [-35, 12, 38, -60, 3],
 [42, -10, 22, 22, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[32, 35, -6, 15, 3],
 [11, 0, 17, -20, 9],
 [22, -10, 9, -30, 35],
 [-26, -17, 30, -21, -21],
 [39, 11, 2, -17, 35]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-23, 28, 29, 22, -22],
 [-14, 18, 29, 22, -3],
 [-24, 45, 50, 31, -19],
 [14, 4, 7, -4, 17],
 [2, -23, -24, -9, 1]]

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


[User]
What is the rank of the matrix:
[[21, 70, 27, 15, 66],
 [30, 8, -42, 10, -18],
 [-54, -30, 42, 12, -6],
 [-21, -4, 1, -12, 16],
 [-21, 11, 15, 41, 5]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -3, 75, 56, -13],
 [5, 13, -60, -52, 8],
 [-45, 20, -59, -28, 45],
 [0, 7, 54, -1, -28],
 [-41, 39, -11, -15, 19]]

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


[User]
Determine the rank of the following matrix:
[[-22, 41, -9, -70, 0],
 [34, -24, 11, 34, 4],
 [-31, 63, -39, -71, -7],
 [-5, 17, 2, -4, 6],
 [3, -25, 31, 20, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -6, -34, 20, 4],
 [-20, 3, -17, 8, 2],
 [1, 1, 3, 32, 12],
 [11, 19, 56, 41, 18],
 [36, -5, 12, 29, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 11, 21, -2, 7],
 [24, -17, 13, 14, -29],
 [3, -1, 14, 4, -7],
 [-3, 1, -14, -4, 7],
 [-21, 19, 34, -4, 13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 12, -18, -3, 12],
 [10, 8, -12, -2, 8],
 [25, 20, -30, -5, 20],
 [-25, -20, 30, 5, -20],
 [25, 20, -30, -5, 20]]

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


[User]
Determine the rank of the following matrix:
[[-5, 10, -15, -15, 0],
 [-4, 8, -12, -12, 0],
 [5, -10, 15, 15, 0],
 [-6, 12, -18, -18, 0],
 [-2, 4, -6, -6, 0]]

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


[User]
What is the rank of the matrix:
[[5, -36, 31, -9, -26],
 [-15, 24, -23, -1, 22],
 [30, -30, 31, 8, -32],
 [-5, 18, -16, 3, 14],
 [30, 12, -4, 22, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-42, 42, 0, 44, -38],
 [-8, 9, 11, 7, -20],
 [-43, 48, 12, 30, -69],
 [-27, 30, -37, 9, -5],
 [-5, 3, 31, 17, -19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 1, 29, -1, 5],
 [8, 18, 24, 6, -14],
 [4, 8, -15, 7, -11],
 [-20, 22, -59, -51, 39],
 [-5, -46, 12, 51, -47]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-5, -7, 0, 8, 0],
 [13, -14, -21, 3, -35],
 [-13, -9, 6, 14, 10],
 [-9, -8, 3, 11, 5],
 [-19, 1, 18, 10, 30]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 12, -16, -16, -16],
 [4, -1, 10, 9, 6],
 [-20, 35, 40, 30, 0],
 [-24, 40, 42, 31, -2],
 [20, -21, 2, 5, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 25, 35, -25, -15],
 [-4, -3, -4, -15, -20],
 [-8, 7, 10, -40, -44],
 [-9, -21, -33, -5, -15],
 [-12, -12, -24, -10, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[37, 0, -32, 0, 9],
 [4, 0, -5, 0, 2],
 [33, 0, -30, 0, 9],
 [21, 0, -18, 0, 5],
 [32, 0, -28, 0, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[27, -20, 23, 21, -1],
 [-15, -24, 17, -11, -45],
 [-30, -13, -14, 35, 12],
 [-20, 56, -44, -42, 30],
 [-8, 16, -6, -46, -8]]

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


[User]
What is the rank of the matrix:
[[-7, 13, 6, -16, 4],
 [16, -12, -12, 24, -4],
 [17, -5, -12, 20, -2],
 [-10, 23, 9, -26, 7],
 [-40, -1, 27, -38, 1]]?

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


[User]
Calculate the rank of matrix A where A =
[[-1, -29, -4, 16, -23],
 [16, 4, 4, -16, 8],
 [12, 26, 6, -24, 24],
 [18, -30, 0, 0, -18],
 [-15, -21, -6, 24, -21]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-23, 20, -15, 42, 24],
 [18, -30, 0, -72, 6],
 [-17, -1, -24, -12, 45],
 [18, -8, 18, -12, -32],
 [-21, 13, -18, 24, 31]]

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


[User]
Find the rank of the matrix:
[[8, -7, -23, 18, 0],
 [-12, 12, 36, -4, -8],
 [0, 1, 1, 8, -2],
 [-2, -35, -31, -62, -34],
 [6, 1, -11, -8, 20]]

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


[User]
Find the rank of the matrix:
[[-15, 23, 28, -15, 20],
 [0, -8, -16, 24, -20],
 [30, -36, -36, 0, -15],
 [-25, 27, 24, 9, 5],
 [-5, 17, 28, -33, 30]]

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


[User]
Determine the rank of the following matrix:
[[8, -7, -4, -15, -26],
 [27, 7, 19, -15, 1],
 [7, -10, -13, -18, -39],
 [-29, -36, 23, -12, -15],
 [26, 41, -10, 21, 40]]

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


[User]
Calculate the rank of matrix A where A =
[[27, -24, -9, -10, 3],
 [64, -26, -28, -51, -8],
 [-4, 14, 32, 19, 50],
 [38, -4, 6, -20, 32],
 [-32, 22, 36, 37, 40]]

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


[User]
What is the rank of the matrix:
[[-15, -6, 0, -6, 12],
 [-9, 8, -6, 0, 10],
 [16, -11, 9, 1, -17],
 [-29, 0, -6, -8, 26],
 [12, 28, -12, 12, -4]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-58, 5, 67, -19, 14],
 [-54, 8, 34, 16, 12],
 [-12, 44, -59, 43, -6],
 [12, 18, -1, -31, -2],
 [27, -2, -51, 24, -18]]

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


[User]
What is the rank of the matrix:
[[-35, 23, -29, 26, 17],
 [-36, 36, 4, 24, -4],
 [-33, 21, -7, 22, 11],
 [62, -44, -2, -40, -12],
 [-7, -11, 7, 2, 15]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -6, 12, 22, 2],
 [-25, -28, 4, 16, -34],
 [15, 14, -8, -18, 12],
 [-25, -26, 8, 22, -28],
 [5, 4, -4, -8, 2]]

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


[User]
What is the rank of the matrix:
[[-40, 38, -8, -2, 23],
 [48, 35, 9, 22, 39],
 [-8, -33, -15, -6, -27],
 [58, -37, 46, 10, -20],
 [42, -11, -28, -28, -7]]?

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


[User]
What is the rank of the matrix:
[[1, 8, 24, -24, -21],
 [-50, -39, -10, 7, -27],
 [-68, 3, -16, -5, -54],
 [47, 52, 23, -35, -9],
 [10, -65, -12, 39, 51]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, 27, -33, 1, -11],
 [37, 20, -17, -3, 14],
 [13, 18, -21, -15, 12],
 [22, -14, -4, 36, -20],
 [38, -2, 8, 8, 12]]

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


[User]
Determine the rank of the following matrix:
[[-4, -62, 32, 14, 66],
 [-31, 52, 2, -34, 20],
 [18, 12, 11, -2, 20],
 [31, 6, -23, 31, -8],
 [50, -54, -21, 67, 0]]

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


[User]
What is the rank of the matrix:
[[-20, -1, 13, -62, 16],
 [56, -28, 60, 36, -76],
 [22, -15, -17, 56, -14],
 [42, 0, 12, 84, -48],
 [-12, 19, 25, -38, 0]]?

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


[User]
What is the rank of the matrix:
[[16, -4, 17, 28, 2],
 [19, 19, 33, 53, -33],
 [-21, -12, -7, -45, 15],
 [30, 9, -25, 0, -60],
 [-21, 11, 32, 7, 4]]?

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


[User]
Find the rank of the matrix:
[[-68, 12, -16, 46, -22],
 [6, -17, 11, 32, 56],
 [-20, -14, 16, -60, -70],
 [50, 1, -13, -50, 6],
 [-22, -14, 20, 28, 13]]

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


[User]
Determine the rank of the following matrix:
[[9, 44, -12, -3, -8],
 [-27, 39, -86, -43, 11],
 [-40, -10, -23, -14, 22],
 [-9, 7, -27, -15, -5],
 [-4, -47, 17, 6, 9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, -16, 3, 27, -5],
 [9, 15, -32, 3, -5],
 [-27, 21, 24, -45, 9],
 [2, -21, -34, 0, 9],
 [-12, 34, 43, -18, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-33, 46, 48, -17, 21],
 [10, -40, -25, 0, 54],
 [-42, -9, 26, -19, 73],
 [29, -27, -10, -36, -30],
 [-32, 55, 34, 19, -3]]

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


[User]
Find the rank of the matrix:
[[8, 0, -44, 28, 4],
 [-10, 0, 55, -35, -5],
 [8, 0, -20, 16, -12],
 [8, 0, -20, 16, -12],
 [0, 0, -18, 9, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[-16, -12, -4, 24, -8],
 [4, 3, 1, -6, 2],
 [12, 9, 3, -18, 6],
 [-12, -9, -3, 18, -6],
 [-12, -9, -3, 18, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-30, -3, -5, -21, 24],
 [44, -2, 13, 19, -33],
 [-41, -13, -2, -43, 45],
 [50, -5, 18, 16, -39],
 [34, -1, 12, 14, -33]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[46, -81, 31, 1, -31],
 [-47, 48, 16, 16, -25],
 [4, -18, 28, -48, -18],
 [-5, -30, -59, -39, 46],
 [28, 10, 24, -12, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-36, 0, 11, -6, -7],
 [24, 0, -6, 12, 30],
 [-8, 0, 4, 8, 28],
 [-10, 0, 4, 4, 16],
 [-26, 0, 7, -10, -23]]

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


[User]
Determine the rank of the following matrix:
[[-34, 33, -31, 19, -2],
 [-8, 11, -39, -2, 9],
 [26, -16, -2, -33, 5],
 [-34, 29, -35, 27, 2],
 [0, 4, 4, -8, -4]]

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


[User]
Determine the rank of the following matrix:
[[-30, 6, -38, -32, 76],
 [-15, 4, -2, 67, -6],
 [-27, 11, -14, -14, 22],
 [-21, 3, -29, -14, 58],
 [30, -16, -9, -60, 36]]

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


[User]
What is the rank of the matrix:
[[26, -16, -13, 1, 9],
 [4, -51, 11, 5, -3],
 [-53, 33, -6, 12, -27],
 [13, 0, 39, -21, 18],
 [16, -41, -21, 13, -3]]?

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


[User]
Find the rank of the matrix:
[[-18, -12, 9, 3, -9],
 [36, 24, -18, -6, 18],
 [-6, -4, 3, 1, -3],
 [24, 16, -12, -4, 12],
 [24, 16, -12, -4, 12]]

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


[User]
What is the rank of the matrix:
[[-12, -20, 16, -20, 12],
 [-12, -20, 16, -20, 12],
 [18, 30, -24, 30, -18],
 [-12, -20, 16, -20, 12],
 [-6, -10, 8, -10, 6]]?

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


[User]
What is the rank of the matrix:
[[29, -12, -21, -5, 5],
 [-80, 36, 63, 13, -1],
 [-4, 18, 9, 23, 19],
 [6, 24, -18, -9, -22],
 [25, -39, -12, -17, 9]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-48, -11, 4, 34, 21],
 [26, -4, -12, -42, -10],
 [-10, 54, -52, -22, 50],
 [29, 1, 44, 37, 29],
 [19, -14, 22, 3, -2]]

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


[User]
Find the rank of the matrix:
[[-22, 2, 16, 18, -8],
 [7, -7, -27, -31, 8],
 [-1, -25, -39, -40, 11],
 [1, 9, 1, -2, -1],
 [12, -14, -42, -47, 13]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, 25, 2, 44, -13],
 [-1, 18, 20, -24, 14],
 [-11, -16, -19, 3, 32],
 [-3, 6, -20, 40, -38],
 [19, 6, -5, 17, -86]]

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


[User]
What is the rank of the matrix:
[[-2, 1, 0, -2, 6],
 [-5, -2, 0, -8, 29],
 [-17, 31, 0, -2, -19],
 [-7, 26, 0, 8, -49],
 [21, -33, 0, 6, 7]]?

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


[User]
What is the rank of the matrix:
[[-15, -36, 18, 15, -21],
 [5, 18, -19, 1, 23],
 [12, 12, 22, -12, -28],
 [12, 18, 9, -12, -12],
 [11, 24, -8, -3, 9]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 0, 19, 14, 4],
 [-25, 5, -31, -26, 13],
 [12, -84, 6, -3, -80],
 [-37, 65, 31, -25, 29],
 [-5, -29, 44, -8, -57]]

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


[User]
What is the rank of the matrix:
[[-18, -21, 3, 4, 46],
 [2, 14, 59, -13, 0],
 [1, -11, 16, -10, 16],
 [-3, 33, 14, 12, -20],
 [10, -32, 31, -31, -26]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 9, 12, -15, 0],
 [-2, 38, 40, 30, -18],
 [2, 30, 24, 30, -16],
 [11, -3, -8, 25, -4],
 [-17, 13, 23, -30, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-35, -2, -37, -1, -40],
 [55, -19, 36, 6, 54],
 [-15, 7, -8, -2, -14],
 [-25, 15, -10, -4, -22],
 [10, -23, -13, 5, 2]]

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


[User]
What is the rank of the matrix:
[[-4, -4, 2, -4, 1],
 [-20, -18, 2, -20, 2],
 [-32, -28, 0, -32, 2],
 [16, 6, 32, 16, 11],
 [4, 0, 14, 4, 5]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, -37, 21, -31, 10],
 [-20, -48, 38, -1, 26],
 [-43, 4, -23, 6, 16],
 [0, 47, -49, -25, -26],
 [40, 11, 2, -17, -14]]

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


[User]
What is the rank of the matrix:
[[-23, -9, -25, -14, 4],
 [-31, 14, 31, 22, -12],
 [-10, 3, -6, 0, 0],
 [14, -7, 18, 2, -2],
 [64, -1, -24, -13, 13]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-33, 15, -1, 2, -5],
 [4, -16, 1, -6, 34],
 [-30, 20, -10, -5, -20],
 [7, -5, -6, -8, 5],
 [23, 1, 9, 13, -23]]

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


[User]
Find the rank of the matrix:
[[36, -12, -12, -24, 30],
 [-4, -24, -28, -8, 2],
 [14, -30, -34, -20, 17],
 [48, 3, 6, -24, 36],
 [-44, 2, 0, 24, -34]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-37, -1, 4, -6, 30],
 [-25, -3, 14, -6, -1],
 [-5, -14, 38, -49, -48],
 [42, 5, -16, 19, -17],
 [-9, -1, -10, -20, 37]]

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


[User]
Calculate the rank of matrix A where A =
[[26, 32, 25, -7, -31],
 [-4, -22, -5, -20, 38],
 [-35, -15, 23, -50, 14],
 [28, -1, 5, -2, 13],
 [15, 1, 0, 39, -25]]

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


[User]
Determine the rank of the following matrix:
[[24, -37, -41, -1, -12],
 [-6, 22, 38, 4, -6],
 [-1, 3, 19, 4, -18],
 [10, 4, 44, 10, -42],
 [-7, -17, -25, -2, -6]]

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


[User]
Determine the rank of the following matrix:
[[-12, 18, 4, 3, -27],
 [-38, 28, 13, 20, -33],
 [7, 2, 1, -4, 21],
 [33, -6, -32, -46, 21],
 [39, 12, -11, -33, -27]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 24, 12, 24, -24],
 [25, 30, 15, 30, -30],
 [15, 18, 9, 18, -18],
 [-15, -18, -9, -18, 18],
 [15, 18, 9, 18, -18]]

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


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

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


[User]
What is the rank of the matrix:
[[1, 12, 0, 27, 1],
 [9, -36, 12, 60, 36],
 [-5, 60, -16, -26, -38],
 [8, -72, 20, 46, 50],
 [-14, -12, 6, -42, -10]]?

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


[User]
What is the rank of the matrix:
[[12, -10, 50, 4, 36],
 [-16, 62, -55, 50, 0],
 [-47, 6, -20, 29, 2],
 [25, 28, -19, -25, -34],
 [-17, -47, 23, -29, -10]]?

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


[User]
Find the rank of the matrix:
[[18, -30, -24, 30, 24],
 [0, 0, 0, 0, 0],
 [6, -10, -8, 10, 8],
 [18, -30, -24, 30, 24],
 [3, -5, -4, 5, 4]]

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


[User]
What is the rank of the matrix:
[[5, 6, 6, -1, 1],
 [-5, -6, -6, 1, -1],
 [-5, -6, -6, 1, -1],
 [30, 36, 36, -6, 6],
 [0, 0, 0, 0, 0]]?

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


[User]
Determine the rank of the following matrix:
[[4, 16, -8, -2, 34],
 [-18, -8, -12, -3, 3],
 [1, -4, 4, 1, -11],
 [29, 12, 20, 5, -7],
 [-6, 8, -12, -3, 27]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-31, 3, 11, 28, 26],
 [5, 9, 5, -2, 16],
 [-62, -13, 0, 52, 34],
 [5, 56, -4, -7, 12],
 [-9, 25, -8, 7, 29]]

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


[User]
Determine the rank of the following matrix:
[[-10, -16, -1, -19, 6],
 [8, 0, -12, -20, 8],
 [22, 10, -20, -15, 8],
 [-26, 12, 21, -27, 2],
 [2, 42, 18, 23, -12]]

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


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

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


[User]
What is the rank of the matrix:
[[-24, -12, -24, -4, 12],
 [-6, -3, -6, -1, 3],
 [6, 3, 6, 1, -3],
 [-36, -18, -36, -6, 18],
 [18, 9, 18, 3, -9]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[17, -17, 24, 11, -5],
 [-12, 7, 32, -19, -12],
 [-6, 16, 10, 36, -29],
 [23, -32, -24, -2, 23],
 [-17, 39, 44, 23, -33]]

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


[User]
What is the rank of the matrix:
[[12, 9, -12, 3, 18],
 [46, 18, -54, 24, -12],
 [2, 7, -1, -2, 20],
 [8, -5, -8, 5, -10],
 [0, -11, -5, 8, -52]]?

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


[User]
Find the rank of the matrix:
[[-4, 32, 16, 38, 22],
 [11, 38, 10, 35, 34],
 [-36, -48, 0, -30, -54],
 [12, -12, -12, -21, -3],
 [31, 18, -10, 0, 29]]

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


[User]
What is the rank of the matrix:
[[0, -9, -3, 18, -9],
 [24, 3, -15, -54, 23],
 [-6, 3, 5, 6, -2],
 [-12, 24, 16, -24, 14],
 [36, -36, -36, 0, -6]]?

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


[User]
Determine the rank of the following matrix:
[[29, -3, -21, 25, -39],
 [59, -35, -60, 0, 19],
 [-29, 9, -9, -11, 29],
 [-74, 45, 24, 2, -12],
 [18, -27, -3, -27, 54]]

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


[User]
What is the rank of the matrix:
[[-6, 26, 6, 36, -26],
 [-12, -12, 12, 8, -4],
 [12, 20, -12, 0, -2],
 [3, 19, -3, 14, -11],
 [6, -26, -6, -36, 26]]?

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


[User]
Determine the rank of the following matrix:
[[-14, -10, 22, 1, 33],
 [-35, -22, 6, 13, 59],
 [-16, -10, 0, 13, 21],
 [-22, -6, 24, 47, 27],
 [11, -8, 8, -38, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, -19, 30, 14, 26],
 [3, 17, -30, -13, -22],
 [-4, 7, -27, 4, 10],
 [-18, -8, -6, 8, 24],
 [-7, 6, -21, -3, 0]]

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


[User]
Find the rank of the matrix:
[[15, -25, -20, 30, -5],
 [-12, 20, 16, -24, 4],
 [3, -5, -4, 6, -1],
 [-18, 30, 24, -36, 6],
 [9, -15, -12, 18, -3]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, -23, 16, 3, 16],
 [-12, -19, 10, 7, 9],
 [4, 9, -2, -14, -9],
 [4, -8, 0, 7, -4],
 [6, 28, -10, -12, -1]]

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


[User]
Find the rank of the matrix:
[[-13, 6, -7, -17, -13],
 [3, 20, 29, 24, 5],
 [-36, -18, -13, -4, -34],
 [13, -43, -13, 43, -13],
 [-42, -11, 11, 0, -6]]

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


[User]
Find the rank of the matrix:
[[4, -21, -35, -14, -17],
 [-16, -2, -5, 13, -8],
 [-23, -18, -59, 19, -35],
 [3, -21, -12, -34, 18],
 [34, 19, 6, 0, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 10, 1, 7, -6],
 [-1, -18, 3, -3, 30],
 [-6, 36, 0, 18, -36],
 [3, 14, -4, -1, -30],
 [-7, 10, 4, 13, 6]]

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


[User]
Determine the rank of the following matrix:
[[55, -1, -41, -36, -34],
 [-30, 12, 2, 26, 16],
 [-12, 57, -52, 49, 14],
 [21, 15, -38, -4, -14],
 [-76, 31, -1, 65, 38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 41, 23, 8, -11],
 [27, -1, -1, -34, -36],
 [24, 4, 26, -18, -32],
 [-24, -4, -26, 18, 32],
 [20, 46, 23, -3, -24]]

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


[User]
Find the rank of the matrix:
[[-22, -26, -40, 39, 40],
 [-10, 30, -14, 24, 14],
 [-20, 0, -34, 39, 34],
 [-14, -22, -26, 24, 26],
 [10, -10, 16, -21, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-47, 33, -54, -24, -36],
 [-28, 13, -43, -2, -27],
 [-26, 19, -19, -10, -15],
 [-44, 25, -61, -12, -39],
 [-45, 27, -54, -12, -36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, -5, -21, -25, -49],
 [4, -20, 5, -12, -31],
 [12, -30, 25, -22, 25],
 [-6, 0, 2, 4, 0],
 [38, 20, -40, -16, -46]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -2, -1, 11, -25],
 [-27, 6, -33, 27, -13],
 [29, -17, 2, 2, 54],
 [6, 12, 29, -38, 7],
 [15, -18, -18, 24, 38]]

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


[User]
Determine the rank of the following matrix:
[[-12, 0, 6, -3, 18],
 [44, 0, -27, -24, -41],
 [-4, 0, 4, 13, -4],
 [12, 0, -8, -11, -8],
 [-12, 0, 4, -17, 28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, 24, -2, -12, 24],
 [-18, 24, 11, 9, 9],
 [-42, 30, -21, -47, 45],
 [42, -36, 17, 43, -45],
 [40, 6, -2, -10, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 5, 0, -5, 5],
 [0, 4, 0, -4, 4],
 [0, 5, 0, -5, 5],
 [0, 1, 0, -1, 1],
 [0, -5, 0, 5, -5]]

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


[User]
Determine the rank of the following matrix:
[[12, 30, -2, 14, -9],
 [6, -30, 6, -22, 18],
 [-15, 32, -6, 27, -17],
 [-9, 42, -24, 33, -69],
 [24, -12, 4, -18, 9]]

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


[User]
What is the rank of the matrix:
[[19, 11, 3, -17, 3],
 [16, -12, 4, -16, 8],
 [-5, 6, -8, 23, -31],
 [-12, -18, 6, -24, 48],
 [30, 19, -5, -8, -28]]?

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


[User]
What is the rank of the matrix:
[[6, 21, 9, 2, 32],
 [54, 29, -15, 18, 0],
 [24, -6, -18, 8, -34],
 [-24, -19, 3, -8, -11],
 [-36, -31, 3, -12, -21]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 6, -9, -5, -21],
 [-20, -10, -40, 15, 0],
 [14, 22, 16, -18, -9],
 [-2, -16, 9, 4, -19],
 [12, 16, 17, -19, -34]]

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


[User]
What is the rank of the matrix:
[[-26, 3, 3, -50, -31],
 [25, -26, -5, -11, 24],
 [4, -29, 41, -4, -19],
 [-25, 16, 16, 2, -31],
 [0, -13, 22, -1, -12]]?

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


[User]
What is the rank of the matrix:
[[15, -18, -12, 0, 18],
 [-20, 24, 16, 0, -24],
 [-30, 36, 24, 0, -36],
 [-25, 30, 20, 0, -30],
 [-15, 18, 12, 0, -18]]?

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


[User]
Calculate the rank of matrix A where A =
[[-15, 0, 20, -30, 15],
 [18, 0, -24, 36, -18],
 [-6, 0, 8, -12, 6],
 [-12, 0, 16, -24, 12],
 [-6, 0, 8, -12, 6]]

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


[User]
Determine the rank of the following matrix:
[[-24, 10, 16, 12, -4],
 [-12, 12, 10, 12, -4],
 [-24, 31, 22, 30, -10],
 [24, -3, -14, -6, 2],
 [-48, 13, 30, 18, -6]]

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


[User]
Determine the rank of the following matrix:
[[10, -20, 26, 12, 0],
 [-38, 22, -27, -7, 18],
 [18, -29, -21, 10, -20],
 [-18, 6, -10, -2, 8],
 [37, 20, -8, -40, -39]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 30, -42, -35, 25],
 [0, -25, 8, 5, -18],
 [-12, -25, 20, 5, -30],
 [-1, -5, 1, 0, -4],
 [-22, 20, -10, -20, 2]]

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


[User]
Determine the rank of the following matrix:
[[36, -8, 6, -32, -4],
 [-24, 4, -12, 34, 8],
 [-14, 8, 27, -34, -18],
 [-28, 6, -6, 27, 4],
 [-4, 4, 18, -26, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 15, 12, 30, -14],
 [-10, 16, -3, 1, -1],
 [-48, 31, -21, -23, 1],
 [18, 8, 15, 29, -7],
 [37, -61, 22, 24, -15]]

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


[User]
Determine the rank of the following matrix:
[[-18, -11, -2, -25, -12],
 [-12, -17, 13, -6, -16],
 [23, 30, -36, -53, 10],
 [-17, -9, -6, -14, -6],
 [-36, 2, -7, 9, 16]]

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


[User]
Find the rank of the matrix:
[[26, -17, -32, 31, -42],
 [6, 9, -30, 12, 0],
 [3, 6, -30, 7, 1],
 [28, 17, -22, 44, -18],
 [50, -14, -20, 64, -66]]

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


[User]
What is the rank of the matrix:
[[-9, 3, -4, 18, -9],
 [5, 3, -14, 5, 19],
 [26, 36, 38, -25, 8],
 [11, -9, 16, -18, -9],
 [-5, 21, 4, 42, -19]]?

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


[User]
Determine the rank of the following matrix:
[[-61, -8, 23, -2, -19],
 [-36, -10, 0, 16, -12],
 [39, 7, 18, -21, 3],
 [-55, -27, 17, 20, -29],
 [41, -27, 8, -38, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 2, -30, 24, 24],
 [-3, 0, -18, 13, 2],
 [-11, 13, 51, -12, -26],
 [2, 3, 39, -21, -32],
 [5, -7, -33, 9, 38]]

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


[User]
What is the rank of the matrix:
[[4, 12, -10, -8, -6],
 [10, -3, -22, 1, -18],
 [-10, -42, 3, 12, -11],
 [-12, -8, 39, 14, 33],
 [1, 17, 2, -7, 6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 9, 11, -1, 2],
 [-21, 31, -15, -3, -38],
 [-21, 9, -46, -4, -46],
 [-13, -19, -8, -10, 10],
 [20, -44, -56, 8, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, 0, 20, -25, -15],
 [-16, -8, -28, 30, 22],
 [-14, -8, -32, 35, 25],
 [18, 12, 54, -60, -42],
 [-12, 0, 24, -30, -18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[17, 18, 11, 3, -30],
 [2, 26, -10, 1, -8],
 [11, -20, 5, -16, -16],
 [-1, -8, -25, -28, -1],
 [-7, 34, -1, 23, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, 18, 56, -3, 15],
 [-10, -60, -74, -22, -16],
 [11, -48, 14, -13, 13],
 [11, -9, -20, -8, 9],
 [17, 39, 24, 0, 11]]

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


[User]
Determine the rank of the following matrix:
[[-14, 25, -5, -25, 27],
 [-2, -25, 7, 17, -5],
 [2, -35, 6, 21, -14],
 [-10, 7, -16, -35, 14],
 [10, 37, -17, -31, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-28, 14, 3, 6, 28],
 [-28, 32, -12, -12, 20],
 [1, -40, 3, 35, 26],
 [5, -26, 7, 21, 10],
 [-10, 46, -40, -46, -21]]

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


[User]
What is the rank of the matrix:
[[36, -6, 10, 0, -5],
 [14, 20, 14, -45, -10],
 [10, 19, -26, 27, -29],
 [52, -1, 16, -12, -11],
 [-26, 24, -22, 3, -16]]?

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


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

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


[User]
Find the rank of the matrix:
[[5, -10, -28, 24, -23],
 [30, 0, -36, -12, -36],
 [15, 10, 4, -32, -1],
 [-5, 0, 6, 2, 6],
 [-14, -4, 8, 16, 10]]

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


[User]
Determine the rank of the following matrix:
[[-14, -5, -3, -35, -11],
 [-44, 10, 14, -5, 39],
 [-7, 5, -9, 40, 7],
 [-20, 10, 14, 15, 35],
 [16, 1, -17, 51, -11]]

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


[User]
Find the rank of the matrix:
[[-3, -8, 25, 24, 12],
 [-12, 3, 0, -28, 17],
 [15, -9, 15, 12, -27],
 [-39, -6, 45, -36, 69],
 [15, -2, -5, 20, -25]]

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


[User]
Determine the rank of the following matrix:
[[-17, -18, 14, -8, -14],
 [-8, -12, -4, -22, 4],
 [22, 24, -16, 14, 16],
 [2, 0, -8, -10, 8],
 [-13, -18, -2, -28, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 16, -8, 4, 24],
 [-6, -24, 12, -6, -36],
 [1, 4, -2, 1, 6],
 [0, 0, 0, 0, 0],
 [-6, -24, 12, -6, -36]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -43, -11, -35, -16],
 [48, 73, -8, 24, -6],
 [-13, -8, -28, -25, 18],
 [16, 31, 0, 16, 6],
 [-25, -50, 11, -16, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 3, -4, -8, -36],
 [-18, -10, -16, 34, 10],
 [33, 28, 47, -45, 31],
 [-48, -38, -49, 32, -12],
 [9, 5, 5, -9, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -3, -18, 34, -17],
 [-60, 27, -41, -13, -25],
 [35, -17, 37, -22, 26],
 [50, -13, 12, -5, 5],
 [12, 17, -38, 27, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 20, 25, 15, 0],
 [0, -24, -30, -18, 0],
 [0, -4, -5, -3, 0],
 [0, -20, -25, -15, 0],
 [0, 12, 15, 9, 0]]

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


[User]
Determine the rank of the following matrix:
[[12, -72, 30, 54, 54],
 [-20, 24, -24, -20, -12],
 [30, -36, 36, 30, 18],
 [-14, -12, -9, 7, 15],
 [2, 36, -8, -26, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -11, 3, 17, 23],
 [-3, 4, -1, -6, -9],
 [2, -4, 2, 8, 2],
 [6, -8, 2, 12, 18],
 [7, -11, 4, 19, 16]]

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


[User]
Find the rank of the matrix:
[[-33, 50, -45, 27, 13],
 [-13, -15, -10, -16, -5],
 [24, -94, 70, -24, -28],
 [-6, -8, 3, -9, 11],
 [-24, -36, 38, 21, 20]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-16, -4, -20, 32, 12],
 [34, -14, -25, 4, -3],
 [-6, 6, 15, -12, -3],
 [24, -9, -15, 0, -3],
 [-24, 4, 0, 16, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, 32, 9, 27, 56],
 [-6, 25, -3, 34, 56],
 [-16, 28, -7, 29, 31],
 [-4, -14, -7, -19, -50],
 [20, -42, -25, -5, -22]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, 4, 12, 10, 11],
 [28, 32, 38, 16, 13],
 [-40, -17, 16, -37, -19],
 [14, 3, -3, 12, 8],
 [10, 18, 3, 9, 1]]

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


[User]
Determine the rank of the following matrix:
[[17, 12, -14, -14, -28],
 [18, 54, -24, -24, 30],
 [23, 48, -26, -26, 8],
 [-14, -48, 20, 20, -32],
 [10, -12, -4, -4, -44]]

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


[User]
Determine the rank of the following matrix:
[[0, 4, -10, -14, 16],
 [-30, 47, -20, 23, -27],
 [72, -13, -54, -21, 51],
 [18, -5, -16, -17, 25],
 [18, -19, 4, -7, 11]]

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


[User]
What is the rank of the matrix:
[[-3, -9, 12, 18, 18],
 [3, 9, -12, -18, -18],
 [0, 0, 0, 0, 0],
 [-6, -18, 24, 36, 36],
 [-1, -3, 4, 6, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[8, 44, 12, 2, -31],
 [-28, -4, -12, -22, 41],
 [27, -4, 10, 22, -36],
 [12, -4, 4, 10, -15],
 [3, 44, 10, -2, -24]]

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


[User]
Determine the rank of the following matrix:
[[-2, -1, -2, 12, -4],
 [60, 33, 40, -25, 14],
 [10, -13, -4, 7, -14],
 [-46, -35, -36, 21, -18],
 [54, 15, 28, -21, 2]]

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


[User]
Find the rank of the matrix:
[[18, 7, 25, 22, 17],
 [6, -3, -15, -2, -19],
 [72, 48, 60, 78, 18],
 [54, 13, 23, 46, -5],
 [54, 33, 51, 60, 21]]

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


[User]
What is the rank of the matrix:
[[3, -24, -60, -48, 0],
 [-4, 12, 6, 4, 0],
 [-39, -48, -27, -6, 0],
 [23, -24, 27, 22, 0],
 [28, 36, 24, 8, 0]]?

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


[User]
Find the rank of the matrix:
[[-28, -24, 22, 18, -1],
 [-33, -33, 12, 29, -7],
 [-25, -12, 16, 11, -8],
 [48, 45, -12, -42, 15],
 [17, 14, 12, -19, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 6, 24, -10, -20],
 [-24, 18, 27, 30, 0],
 [5, -9, -24, -1, 14],
 [-4, -6, -27, 14, 24],
 [-8, 6, 9, 10, 0]]

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


[User]
Determine the rank of the following matrix:
[[-18, 24, -32, -2, 18],
 [-18, -21, -38, 10, 27],
 [21, -5, 34, -21, -1],
 [24, -18, 36, -24, 6],
 [10, -18, 20, 10, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -12, 0, -6, -24],
 [10, 10, 0, 5, 20],
 [4, 4, 0, 2, 8],
 [-6, -6, 0, -3, -12],
 [-10, -10, 0, -5, -20]]

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


[User]
What is the rank of the matrix:
[[0, -2, 6, 0, -5],
 [0, -19, 48, 15, -37],
 [0, 3, 6, -25, -10],
 [0, -11, 30, 5, -24],
 [0, -4, 0, 20, 4]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[10, -12, -3, -5, 22],
 [6, -8, -4, -4, 8],
 [-19, 32, 31, 21, 18],
 [18, -32, -34, -22, -28],
 [-16, 28, 29, 19, 22]]

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


[User]
Determine the rank of the following matrix:
[[-6, -24, 0, 18, 36],
 [1, -56, 36, 15, 66],
 [5, -30, 30, 0, 30],
 [6, 4, 12, -12, -12],
 [-5, 0, -12, 9, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -31, 23, 4, -5],
 [-3, 36, -2, 5, 21],
 [-3, 23, -1, 1, 16],
 [6, -6, 42, 48, -12],
 [-5, -7, 9, -6, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-40, -22, -12, 9, 10],
 [-20, -18, -8, 21, 30],
 [-4, -12, -4, 24, 36],
 [-10, -2, -2, -6, -10],
 [-12, 6, 0, -27, -42]]

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


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

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


[User]
Find the rank of the matrix:
[[11, 14, 22, -22, 32],
 [-7, -6, -6, 10, -12],
 [-26, -12, 6, 23, -15],
 [2, -4, -14, 5, -13],
 [-4, -8, -16, 12, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 20, -5, 30, 10],
 [-18, -24, 6, -36, -12],
 [3, 4, -1, 6, 2],
 [-3, -4, 1, -6, -2],
 [9, 12, -3, 18, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 20, -12, -24, -25],
 [24, -12, 22, 25, 11],
 [-27, 3, -24, -15, -8],
 [-22, 25, -24, -39, -23],
 [16, -1, 24, 3, 29]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 30, -32, 44, -27],
 [22, -13, 46, -53, 23],
 [75, 56, 35, -13, 2],
 [42, 13, 50, -49, 8],
 [26, -3, -28, 35, 43]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, -9, -22, -6, -21],
 [-16, -6, 32, -8, -28],
 [0, 12, 27, -11, -21],
 [15, 33, 6, 18, -27],
 [-34, -6, -29, -11, -31]]

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


[User]
Calculate the rank of matrix A where A =
[[53, 54, -15, 16, 57],
 [-31, -42, -10, -12, -51],
 [44, 46, -16, 24, 34],
 [-14, -17, -11, 5, -42],
 [17, 53, 41, 69, 17]]

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


[User]
What is the rank of the matrix:
[[6, -6, -9, 18, 12],
 [6, -6, -9, 18, 12],
 [10, -10, -15, 30, 20],
 [2, -2, -3, 6, 4],
 [0, 0, 0, 0, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-33, 33, -43, 7, -10],
 [-7, 12, -24, 9, 10],
 [-22, 8, 0, 34, 20],
 [-56, 34, -2, 5, -42],
 [27, -9, -36, 28, 64]]

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


[User]
Find the rank of the matrix:
[[12, 16, 12, 4, 24],
 [15, 20, 15, 5, 30],
 [18, 24, 18, 6, 36],
 [12, 16, 12, 4, 24],
 [15, 20, 15, 5, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 32, -42, -3, -8],
 [-12, 0, -6, 27, -24],
 [0, -16, 22, -3, 8],
 [3, -12, 18, -9, 12],
 [-2, -8, 10, 3, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 5, -21, 18, 1],
 [-31, 6, 30, -17, 5],
 [-9, 24, -22, -17, 23],
 [35, -15, -7, 41, -20],
 [28, -13, -26, 9, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, 66, -32, -16, -48],
 [56, -43, 4, 36, 54],
 [-9, 28, -17, 8, -25],
 [-14, 42, -24, 4, -34],
 [54, 24, -40, 36, 22]]

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


[User]
Determine the rank of the following matrix:
[[-5, 29, -3, 4, 6],
 [-20, 26, 18, -14, 9],
 [-15, -15, 25, -22, 1],
 [25, -13, -29, 24, -8],
 [0, 30, -10, 10, 5]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [4, -12, -8, -16, 20],
 [4, -12, -8, -16, 20],
 [-4, 12, 8, 16, -20],
 [-1, 3, 2, 4, -5]]?

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


[User]
What is the rank of the matrix:
[[-17, 35, -29, 0, 12],
 [4, 4, 2, -24, -2],
 [16, -16, -9, 26, 11],
 [9, -23, 12, 19, -3],
 [2, 2, -13, 16, 9]]?

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


[User]
Find the rank of the matrix:
[[25, -1, -28, 1, -10],
 [-15, 49, 16, 37, -10],
 [-1, 20, 26, -5, 6],
 [9, -14, -20, -2, -4],
 [-11, 21, -12, 35, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[25, -2, -19, -27, -9],
 [-6, 25, 12, 15, 44],
 [-2, 25, 12, 8, 12],
 [-20, 5, 20, 7, -22],
 [-53, 44, 64, -14, -7]]

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


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

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


[User]
What is the rank of the matrix:
[[-29, 12, 7, -36, -7],
 [42, 2, 1, 18, -9],
 [-29, -1, 35, -6, -40],
 [-35, 23, 11, -7, -14],
 [-29, -47, 6, -6, 9]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-39, 13, 9, 9, -34],
 [30, -2, -10, -6, 24],
 [-24, 9, 37, 42, -25],
 [14, -12, -24, -31, 17],
 [-29, 7, 3, 1, -24]]

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


[User]
What is the rank of the matrix:
[[-34, 8, 1, -18, 36],
 [-47, 36, 0, -42, 40],
 [-7, -22, -23, -6, 45],
 [16, 0, 18, 20, -40],
 [-28, 18, 9, -16, 15]]?

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


[User]
Find the rank of the matrix:
[[-22, 17, 24, 37, 20],
 [19, -46, -39, -20, -28],
 [-29, 28, 21, 14, 18],
 [10, -34, -28, -16, -18],
 [-1, -40, -20, 27, -12]]

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


[User]
What is the rank of the matrix:
[[-8, 8, -16, 12, 26],
 [37, -10, 20, -42, 8],
 [12, -4, 8, -14, -1],
 [15, -6, 12, -18, -6],
 [-3, -2, 4, 2, -14]]?

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


[User]
What is the rank of the matrix:
[[3, 29, 36, 10, -52],
 [25, 2, 24, -45, 18],
 [-25, -5, -30, 40, -2],
 [9, -28, -12, -15, 10],
 [-15, 4, -12, 25, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[8, -21, 14, 18, 17],
 [9, -1, -4, 13, 2],
 [-11, 11, 0, -35, -18],
 [-21, 21, -10, -23, -12],
 [16, -21, 20, -16, -5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[40, -47, 14, -9, -35],
 [-25, 23, 3, -3, 20],
 [-10, 12, -17, 17, 15],
 [-35, 44, -6, -1, 26],
 [-10, 43, -19, -2, -2]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [-10, 2, -4, 12, 12],
 [20, -4, 8, -24, -24],
 [-15, 3, -6, 18, 18]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[42, 15, -20, 32, -25],
 [-7, 14, 18, -20, 17],
 [2, 3, -10, 6, 28],
 [15, -30, 36, 54, -6],
 [-38, -14, 18, -34, 1]]

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


[User]
Find the rank of the matrix:
[[-9, 9, 26, 25, 28],
 [8, -13, -22, -20, -31],
 [5, -7, -14, -13, -18],
 [-7, -10, 24, 27, 1],
 [-2, -8, 8, 10, -6]]

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


[User]
Find the rank of the matrix:
[[-7, 23, -21, -5, 22],
 [-10, 42, -30, 2, 36],
 [6, -22, 18, 2, -20],
 [-4, 18, -12, 2, 15],
 [7, -23, 21, 5, -22]]

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


[User]
Calculate the rank of matrix A where A =
[[-31, -1, 3, 14, -71],
 [-38, 20, 33, 45, -16],
 [-37, -28, 36, 80, 37],
 [-8, 0, -15, -13, -14],
 [4, -27, -38, -27, 12]]

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


[User]
Determine the rank of the following matrix:
[[11, 20, 18, -12, -28],
 [2, -16, -36, 24, 26],
 [-6, -12, -12, 8, 17],
 [-6, 12, 36, -24, -21],
 [-3, 12, 30, -20, -20]]

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


[User]
What is the rank of the matrix:
[[13, -20, 33, -13, -7],
 [-11, 19, -24, 8, 5],
 [-15, 21, -42, 18, 9],
 [16, -26, 38, -14, -8],
 [-16, 35, -21, 1, 4]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[33, 39, 9, -8, -8],
 [-31, -33, -3, 6, 16],
 [28, 36, 12, -8, 0],
 [-5, -15, -15, 5, -20],
 [-9, -3, 9, -1, 20]]

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[User]
Calculate the rank of matrix A where A =
[[-4, 0, -56, 6, -17],
 [-21, -21, 8, 24, 1],
 [-32, 14, 36, 30, 12],
 [-20, 16, -32, 0, -14],
 [14, -62, 10, 34, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[40, 6, -24, 30, -34],
 [-20, -3, 12, -15, 17],
 [10, 11, 1, 15, -9],
 [-32, -1, 22, -21, 27],
 [-4, 7, 8, 3, 3]]

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


[User]
What is the rank of the matrix:
[[-40, 7, 1, 19, 31],
 [-38, 8, 5, -13, -7],
 [24, -3, 3, -39, -51],
 [-48, 10, 6, -14, -6],
 [26, -5, -2, -2, -8]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, -12, 0, -8, 2],
 [-5, 16, 37, 1, 29],
 [43, 33, 21, -22, -26],
 [-5, -17, -13, 2, 4],
 [60, 40, 34, -35, -30]]

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


[User]
Determine the rank of the following matrix:
[[-4, -1, -5, -4, -5],
 [-12, 13, -31, 12, -27],
 [-8, 22, -34, 28, -28],
 [20, 13, 17, 32, 19],
 [-16, 12, -36, 8, -32]]

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


[User]
What is the rank of the matrix:
[[7, 11, -14, -1, 11],
 [-8, -32, 33, -28, 2],
 [12, 12, -18, -12, 24],
 [9, -3, -3, -27, 27],
 [2, -14, 11, -26, 16]]?

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


[User]
Determine the rank of the following matrix:
[[65, -64, 31, -12, 29],
 [-24, 48, -6, 9, 18],
 [6, 0, -16, 19, 0],
 [6, -18, 12, -12, 51],
 [31, -30, -5, 14, 25]]

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


[User]
Determine the rank of the following matrix:
[[19, 12, -6, 3, -1],
 [-54, 36, 19, -11, 28],
 [-29, 48, 27, 45, 22],
 [-16, 12, -2, 62, 4],
 [37, -6, 30, 27, -13]]

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


[User]
Find the rank of the matrix:
[[30, 36, 12, -18, 0],
 [0, 0, 0, 0, 0],
 [-25, -30, -10, 15, 0],
 [10, 12, 4, -6, 0],
 [-5, -6, -2, 3, 0]]

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


[User]
Find the rank of the matrix:
[[-24, -28, 16, -8, 14],
 [27, 21, 10, 23, -21],
 [-24, -10, -32, -32, 23],
 [0, 18, -48, -24, 9],
 [-6, -22, 44, 18, -4]]

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


[User]
What is the rank of the matrix:
[[-7, 18, -40, 33, -20],
 [15, -7, 30, -31, 3],
 [35, -31, -14, -12, 22],
 [25, -3, -50, 1, -3],
 [31, 6, -20, 11, -26]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -12, -9, -9, -6],
 [-4, 2, -13, -50, -3],
 [-52, -68, -8, -12, -62],
 [-14, -34, 0, 45, -17],
 [-18, -14, 8, -5, -23]]

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


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

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


[User]
Find the rank of the matrix:
[[24, 36, -18, -44, -14],
 [-34, -8, -1, 13, -10],
 [-46, -22, 3, 49, -10],
 [-16, 8, -12, 24, -20],
 [16, 38, -26, -6, -28]]

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


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

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


[User]
Find the rank of the matrix:
[[-13, -8, -11, -8, -15],
 [-20, -28, 24, 44, 7],
 [12, 20, -10, -22, 2],
 [15, 30, -2, -16, 16],
 [79, 14, 30, 10, 22]]

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


[User]
Find the rank of the matrix:
[[-20, 5, -27, -33, -2],
 [20, 35, -48, 54, -9],
 [8, 34, -29, 45, -13],
 [-46, 16, 23, 0, 4],
 [18, 29, -29, 54, -7]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 20, 14, 24, -30],
 [-12, -18, 0, -24, 36],
 [-33, -1, -6, -7, 7],
 [19, -13, -14, -11, 11],
 [-28, 41, 28, 42, -52]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, 4, -10, 16, 10],
 [2, 16, 18, -40, 6],
 [15, 40, 19, 41, 35],
 [24, 0, -12, 1, 6],
 [19, 48, 31, -9, 35]]

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


[User]
What is the rank of the matrix:
[[6, 10, -6, 2, -2],
 [5, -1, 9, -1, 5],
 [7, 35, -42, 9, -19],
 [7, 21, -21, 5, -9],
 [4, 30, -39, 8, -18]]?

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


[User]
Determine the rank of the following matrix:
[[-44, 25, -25, -24, 5],
 [8, 32, 19, -19, 6],
 [0, -30, -1, 15, -4],
 [-16, 26, -9, -17, 4],
 [4, -44, 1, 23, -6]]

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


[User]
What is the rank of the matrix:
[[53, -31, 8, -20, -7],
 [27, -15, 0, -12, -3],
 [-24, 18, -24, 0, 6],
 [26, 3, 26, 0, 11],
 [3, 14, 12, 4, 12]]?

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


[User]
Find the rank of the matrix:
[[37, 49, -8, 16, 2],
 [-36, -52, 20, -14, -5],
 [-8, -4, 28, -10, -44],
 [20, 34, 3, 5, 8],
 [-32, -42, -3, -13, 11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, -22, -24, 27, -15],
 [-6, 15, 24, -27, 24],
 [-5, -3, -45, 10, -34],
 [-17, 13, 11, -1, -9],
 [-4, -7, 10, 31, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 1, -32, -35, 42],
 [-17, -29, 14, 10, -31],
 [6, 4, -20, -5, 24],
 [-26, -54, -38, -15, 17],
 [10, 6, -24, 0, 28]]

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


[User]
Find the rank of the matrix:
[[6, -50, -12, -14, -44],
 [23, 9, 65, -47, 33],
 [-4, -26, -49, 20, -25],
 [9, -37, -54, 18, -39],
 [-28, -33, -22, 5, -32]]

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


[User]
What is the rank of the matrix:
[[-11, -4, 0, 1, 7],
 [-3, -8, -10, 39, 25],
 [-19, -39, -26, -18, -19],
 [-39, -69, -39, 7, 10],
 [-17, -49, -36, 13, -1]]?

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


[User]
Determine the rank of the following matrix:
[[33, 0, -10, -2, -22],
 [33, 33, 21, 24, 0],
 [36, -15, -25, -14, -34],
 [-23, -17, -9, -12, 4],
 [-29, -20, -10, -14, 6]]

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


[User]
What is the rank of the matrix:
[[-36, 44, 2, -10, -17],
 [-45, 35, 13, -31, -3],
 [-27, 33, 3, -3, -18],
 [12, -16, -4, -10, 21],
 [-6, 6, 0, -6, 2]]?

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


[User]
Find the rank of the matrix:
[[-13, 5, 24, 23, -3],
 [16, -6, -30, -27, 4],
 [14, -6, -24, -30, 2],
 [-21, 3, 54, -6, -15],
 [-10, 2, 24, 2, -6]]

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


[User]
What is the rank of the matrix:
[[7, -52, 30, -28, -28],
 [13, -22, -15, 17, -16],
 [26, -16, -18, -34, 26],
 [5, -12, -6, 12, -12],
 [34, -14, -33, -31, 34]]?

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


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

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


[User]
What is the rank of the matrix:
[[0, -6, 51, 15, -27],
 [-24, 18, 23, 3, -1],
 [-15, -21, 9, -15, -6],
 [12, 22, -17, 11, 11],
 [-35, 35, -5, -5, 20]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, 14, 26, 0, 36],
 [4, -18, 12, -16, 2],
 [-28, -4, -25, -16, 45],
 [20, 30, 48, 24, -2],
 [-2, -1, 5, -4, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, -26, -4, 29, -6],
 [-9, -6, 4, 21, -4],
 [-10, -4, 34, 19, -21],
 [-19, 54, -30, 42, 37],
 [26, -36, 28, -60, -30]]

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


[User]
Determine the rank of the following matrix:
[[-6, 29, -11, 32, 22],
 [-48, 16, -52, 40, 32],
 [-46, 4, -38, 22, 24],
 [13, -16, 21, -25, -16],
 [30, -12, 3, -12, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[28, -52, -18, 16, -18],
 [-1, -57, -3, 2, 25],
 [64, -13, 51, -10, 9],
 [3, 9, -12, 14, 6],
 [21, -21, 8, 4, 11]]

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


[User]
What is the rank of the matrix:
[[-14, -25, -24, 16, 21],
 [-12, -10, -16, 8, 10],
 [-6, 15, 0, -6, -9],
 [4, -40, -12, 19, 27],
 [-6, -5, -8, 4, 5]]?

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


[User]
Find the rank of the matrix:
[[-18, -9, -6, 18, -9],
 [-46, -20, -4, 36, -12],
 [-30, -6, 24, 0, 18],
 [24, 12, 8, -24, 12],
 [3, -3, -16, 12, -15]]

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


[User]
Determine the rank of the following matrix:
[[-2, 2, 3, -11, -4],
 [12, 22, 27, 1, 14],
 [9, 12, -13, 23, 5],
 [-5, -22, 16, 2, 9],
 [7, 20, -3, 1, -1]]

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


[User]
What is the rank of the matrix:
[[0, -12, 0, 6, 0],
 [0, -30, 0, 15, 0],
 [0, -6, 0, 3, 0],
 [0, -12, 0, 6, 0],
 [0, 0, 0, 0, 0]]?

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


[User]
What is the rank of the matrix:
[[-33, 10, 3, 83, 0],
 [-36, -6, 4, 70, -24],
 [-4, -23, -11, -8, -22],
 [21, 22, 0, 10, -22],
 [-4, -10, -33, 21, 30]]?

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


[User]
Determine the rank of the following matrix:
[[44, 20, 2, -6, -18],
 [12, -15, 11, -2, -8],
 [26, 65, -21, -16, -7],
 [26, 63, -21, -14, -3],
 [-30, -24, 5, 1, 10]]

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


[User]
What is the rank of the matrix:
[[18, 6, 0, -33, 3],
 [24, 6, 15, -48, 3],
 [28, 8, 10, -54, 4],
 [6, 0, 15, -15, 0],
 [14, 12, -55, -11, 6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [18, -15, -12, 0, 18],
 [30, -25, -20, 0, 30],
 [-12, 10, 8, 0, -12],
 [-24, 20, 16, 0, -24]]

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


[User]
Determine the rank of the following matrix:
[[4, -1, -5, -4, 4],
 [16, -4, -20, -16, 16],
 [-12, 3, 15, 12, -12],
 [-20, 5, 25, 20, -20],
 [-8, 2, 10, 8, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -12, 18, 0, -9],
 [-30, 20, -30, 0, 15],
 [-30, 20, -30, 0, 15],
 [24, -16, 24, 0, -12],
 [-24, 16, -24, 0, 12]]

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


[User]
What is the rank of the matrix:
[[-40, 30, 6, -18, -2],
 [-30, 5, 16, -8, 23],
 [10, 4, -15, 2, -26],
 [-40, 16, 12, -13, 12],
 [6, 16, -13, -4, -26]]?

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


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

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


[User]
What is the rank of the matrix:
[[15, -23, 38, 35, -12],
 [-16, -14, 17, -40, 27],
 [7, -23, 27, 3, 4],
 [19, -15, 3, 3, 3],
 [-14, -2, 19, 46, -49]]?

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


[User]
What is the rank of the matrix:
[[-62, 71, -18, 4, -8],
 [-5, 13, -10, -27, 54],
 [-35, 23, 29, 37, -13],
 [9, -12, -3, 18, -75],
 [-6, -9, 40, 24, 38]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-40, 1, -35, -21, -9],
 [-17, 1, -35, -13, 5],
 [-5, 26, 28, 38, -38],
 [40, -15, 8, 3, 38],
 [-22, -13, 4, -43, -19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 4, -6, 6, -5],
 [44, 16, 12, -66, 43],
 [28, 22, -3, -42, 25],
 [24, -4, 18, -36, 26],
 [0, 30, -27, 0, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -32, -5, 5, -20],
 [28, -8, 25, 31, -40],
 [-17, 6, -15, -19, 25],
 [-34, 12, -30, -38, 50],
 [-11, -30, -15, -7, -5]]

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


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

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


[User]
What is the rank of the matrix:
[[-21, -31, -8, 28, -15],
 [20, 28, 8, -24, 16],
 [4, 12, 0, -16, -4],
 [13, 7, 8, 4, 23],
 [13, 7, 8, 4, 23]]?

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


[User]
Determine the rank of the following matrix:
[[-4, 24, -20, -8, -20],
 [-5, 30, -25, -10, -25],
 [3, -18, 15, 6, 15],
 [-1, 6, -5, -2, -5],
 [0, 0, 0, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -7, 1, 7, 16],
 [-12, -17, 4, 18, 37],
 [0, -16, -4, 12, 44],
 [20, -9, -16, -2, 41],
 [32, 0, -22, -14, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-45, -6, 3, -6, 7],
 [-25, -50, 25, -20, 0],
 [20, -8, 19, -2, -4],
 [30, -24, -23, -4, -7],
 [-28, 52, 12, 14, 9]]

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


[User]
What is the rank of the matrix:
[[-47, 2, -31, -58, 61],
 [-3, 18, -5, 0, -7],
 [0, 0, 0, 0, 0],
 [36, -5, 27, 49, -58],
 [49, 18, 16, 39, -11]]?

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


[User]
What is the rank of the matrix:
[[17, 6, 0, -20, 13],
 [21, 0, 6, -36, 21],
 [-6, -12, 8, -8, 2],
 [32, 16, -8, -34, 20],
 [-19, -16, -26, -20, -19]]?

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


[User]
Determine the rank of the following matrix:
[[-21, 12, 30, -21, -3],
 [-8, 8, 8, 16, 4],
 [-7, 6, 8, 7, 2],
 [-7, 4, 10, -7, -1],
 [9, -8, -10, -11, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -12, 12, -14, -8],
 [-37, 44, -38, 53, -38],
 [-1, -10, -16, -9, 28],
 [-33, 34, -44, 43, -24],
 [-23, 24, -34, 31, -22]]

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


[User]
Find the rank of the matrix:
[[20, -24, 4, -28, 4],
 [6, 36, 6, 18, -18],
 [37, 6, 13, -21, -15],
 [-14, 24, -2, 24, -6],
 [8, -24, 0, -20, 8]]

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


[User]
What is the rank of the matrix:
[[-2, 0, 4, 6, 3],
 [-26, 10, -33, -2, -1],
 [0, 4, -34, -32, -16],
 [-44, 12, -14, 36, 18],
 [12, -6, 27, 12, 6]]?

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


[User]
What is the rank of the matrix:
[[2, -10, -6, -6, 16],
 [14, -10, -42, -42, -18],
 [10, -14, -30, -30, 2],
 [-8, 22, 24, 24, -25],
 [-6, 12, 18, 18, -9]]?

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


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

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


[User]
What is the rank of the matrix:
[[-42, -21, -21, -27, 48],
 [4, 5, -3, -1, -6],
 [-19, -8, -12, -14, 21],
 [-25, -5, -25, -25, 25],
 [9, 6, 2, 4, -11]]?

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


[User]
Find the rank of the matrix:
[[3, -2, 1, 3, -5],
 [18, -12, 6, 18, -30],
 [12, -8, 4, 12, -20],
 [0, 0, 0, 0, 0],
 [-3, 2, -1, -3, 5]]

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


[User]
Determine the rank of the following matrix:
[[-6, 22, -28, 9, -11],
 [10, 26, -13, -33, 15],
 [-29, -39, 30, 14, -5],
 [-19, -9, -2, 20, -13],
 [15, -27, 14, 47, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, -14, 0, -30, 53],
 [-32, 4, -33, 3, 38],
 [3, 33, -27, 51, -27],
 [32, -2, 32, 0, -34],
 [45, 3, 37, -1, -9]]

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


[User]
Determine the rank of the following matrix:
[[-25, 33, -30, -24, -10],
 [-28, -30, 44, 21, 20],
 [41, 9, -42, 6, -26],
 [-17, 30, -50, -48, -26],
 [-24, 33, 8, -12, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -7, 0, 15, 12],
 [4, 61, 45, 30, 1],
 [14, 5, -18, -21, 8],
 [-14, -9, 31, 27, -24],
 [0, -11, -8, -6, -1]]

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


[User]
What is the rank of the matrix:
[[18, -28, 30, -4, -24],
 [21, 22, -31, 12, 10],
 [0, -4, -16, 8, 16],
 [3, -50, 27, 0, -6],
 [9, 49, -38, 7, 11]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -8, 8, 0, 4],
 [-35, -10, 20, -5, -25],
 [-26, -6, 14, -4, -21],
 [-42, -12, 24, -6, -30],
 [20, 10, -14, 2, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 10, -4, 12, -8],
 [25, 25, -10, 30, -20],
 [-5, -5, 2, -6, 4],
 [-15, -15, 6, -18, 12],
 [30, 30, -12, 36, -24]]

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


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

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


[User]
Find the rank of the matrix:
[[-27, 23, 21, 11, 39],
 [-16, 19, 6, -1, 7],
 [-19, 16, 15, 8, 28],
 [-14, 11, 12, 7, 23],
 [-43, 37, 33, 17, 61]]

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


[User]
What is the rank of the matrix:
[[22, 10, -33, 11, 11],
 [-6, 7, 1, 4, -19],
 [31, 24, -7, -1, -22],
 [32, 31, -19, 8, 19],
 [24, 7, -5, -6, -49]]?

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


[User]
Find the rank of the matrix:
[[11, -20, -16, 6, 24],
 [15, 53, -20, 37, -7],
 [4, 3, -4, 1, -1],
 [-10, -33, 4, 5, 31],
 [20, 26, -24, 22, 2]]

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


[User]
Find the rank of the matrix:
[[-6, 12, -4, -10, 6],
 [-6, 12, -4, -10, 6],
 [15, -30, 10, 25, -15],
 [0, 0, 0, 0, 0],
 [6, -12, 4, 10, -6]]

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


[User]
Find the rank of the matrix:
[[-21, 3, -21, 28, -27],
 [-51, -28, -13, -46, -33],
 [-14, -24, 38, 10, 21],
 [-69, -42, 9, -6, -27],
 [25, 12, -1, -12, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-75, -39, 11, 45, 14],
 [-35, -28, 26, 29, 24],
 [6, 39, -1, -18, -46],
 [9, -23, 31, 12, 41],
 [-3, -8, -22, 0, 3]]

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


[User]
Find the rank of the matrix:
[[-22, -33, -1, -24, -65],
 [-21, -10, -15, 14, -42],
 [-29, -18, 17, -3, -11],
 [-5, 18, -23, 9, -37],
 [-26, -30, 32, 6, 30]]

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


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

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


[User]
What is the rank of the matrix:
[[15, 6, 2, 28, 29],
 [-86, 29, 24, -59, -45],
 [-34, 56, 44, -60, 9],
 [104, -20, -14, 54, 54],
 [-9, -7, -10, -5, -2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -22, -10, 10, 7],
 [16, 20, -10, -31, -41],
 [-18, 36, 52, 22, 38],
 [16, -40, -36, -2, -18],
 [-31, -2, -20, -13, 14]]

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


[User]
Determine the rank of the following matrix:
[[24, 18, -12, -57, -10],
 [-8, 26, -4, 3, 38],
 [16, 8, -16, -45, -14],
 [0, -20, -20, -15, -30],
 [-24, -74, -20, 39, -66]]

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


[User]
Determine the rank of the following matrix:
[[30, -8, -20, -17, 15],
 [-42, 38, 54, 47, -15],
 [-27, 16, 21, 19, -5],
 [-3, 18, -9, -3, 35],
 [-48, 17, 25, 23, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -37, 19, -24, 10],
 [-19, 3, -19, -15, -8],
 [22, 16, 12, 30, 4],
 [-5, -7, -1, -9, 0],
 [33, 24, 18, 45, 6]]

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


[User]
Determine the rank of the following matrix:
[[-18, 25, -57, 18, -6],
 [-2, -54, 54, 20, 39],
 [-2, -38, -22, 10, 8],
 [19, 34, -25, -23, -31],
 [1, 50, -68, -27, -47]]

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


[User]
What is the rank of the matrix:
[[41, -27, -86, -55, -55],
 [31, -13, -36, -18, -22],
 [19, 7, 38, 41, 29],
 [-3, 9, 28, 9, 11],
 [-30, -6, -24, 0, 0]]?

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


[User]
Find the rank of the matrix:
[[8, 32, 32, 16, 34],
 [-13, 32, 4, 3, 29],
 [2, -46, -28, 25, -8],
 [7, -20, -4, -19, -34],
 [-31, 20, -28, -13, 12]]

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


[User]
Determine the rank of the following matrix:
[[0, -10, -5, -15, -40],
 [-3, -11, -7, -15, -36],
 [18, 18, 18, 18, 24],
 [12, 10, 11, 9, 8],
 [-21, -13, -17, -9, 4]]

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


[User]
Find the rank of the matrix:
[[0, -12, 18, 0, -18],
 [0, 20, -30, 0, 30],
 [0, -20, 30, 0, -30],
 [0, 16, -24, 0, 24],
 [0, -4, 6, 0, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[26, -34, -10, 27, -40],
 [-104, 19, 7, -75, 61],
 [52, -4, 6, 43, -32],
 [32, 5, -20, 25, -14],
 [-2, 15, -20, 3, 6]]?

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


[User]
Find the rank of the matrix:
[[15, -13, -3, 17, 12],
 [53, -45, 6, 1, -12],
 [3, 0, 39, 9, -63],
 [27, -19, 25, -3, -58],
 [-29, 23, -1, 9, 16]]

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


[User]
Determine the rank of the following matrix:
[[14, -4, 6, 14, 14],
 [-8, -3, 2, -23, -23],
 [-43, -1, -23, 4, 50],
 [48, -10, 47, 3, -24],
 [-23, 22, -24, 22, 23]]

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


[User]
Find the rank of the matrix:
[[10, 3, -38, -32, -2],
 [-50, -92, 36, 38, -42],
 [-15, -7, -38, -19, -5],
 [-50, -85, 38, 48, -28],
 [5, 10, -52, -37, 2]]

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


[User]
Find the rank of the matrix:
[[-3, -18, -3, -15, 0],
 [5, 30, 5, 25, 0],
 [-2, -12, -2, -10, 0],
 [3, 18, 3, 15, 0],
 [4, 24, 4, 20, 0]]

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


[User]
What is the rank of the matrix:
[[13, 48, 4, 5, -14],
 [-8, 32, 17, 34, -15],
 [-19, 31, 10, 38, -21],
 [-6, 35, 13, 29, -16],
 [-45, -15, -36, 6, -21]]?

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


[User]
Determine the rank of the following matrix:
[[56, 0, 18, -10, 63],
 [-12, 30, -23, 50, 18],
 [-8, 1, -29, 33, 15],
 [-28, 20, -21, 26, -19],
 [24, -2, -1, -2, 29]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, -2, -3, -4, 12],
 [43, 12, -40, 13, 15],
 [51, -33, -50, 0, -35],
 [-21, 45, 14, 18, 29],
 [-15, 35, 11, 13, 26]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -15, -20, 15, -8],
 [-10, -18, -13, -4, 20],
 [-30, -6, 2, -14, 20],
 [-55, -42, -41, 12, 14],
 [20, 15, 6, 13, -28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-21, -7, -15, -6, -10],
 [8, -13, -11, -15, 21],
 [-20, -14, -26, 50, -54],
 [0, -14, -16, 2, 1],
 [-14, -28, -40, 54, -50]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -9, 5, 9, -16],
 [-18, -7, -15, 6, -46],
 [6, -14, 14, 21, -24],
 [9, -12, 49, 45, 7],
 [-6, -2, 8, 12, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, -26, 16, 8, 0],
 [-11, 43, 5, -38, 25],
 [-2, 9, 43, 2, -1],
 [-13, 44, 4, -34, 26],
 [30, -21, -28, -1, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -8, 6, -8, 8],
 [-27, -31, 28, -21, 23],
 [-72, -36, 0, -42, 24],
 [0, 5, -13, -6, 1],
 [21, 33, -36, 19, -25]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 41, 45, 53, -22],
 [20, 17, 21, -1, -7],
 [45, 44, 50, 9, -7],
 [-25, -18, -30, -26, -17],
 [-15, 20, 16, 38, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -3, -2, -22, -15],
 [-20, 25, 0, 22, 11],
 [-42, 32, -11, 9, 12],
 [-10, -20, -3, 17, 24],
 [-6, -19, -5, 0, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-19, -23, 20, -25, -19],
 [13, 13, -12, 19, 9],
 [-2, 14, -8, -14, 22],
 [-2, 1, 0, -5, 3],
 [2, -14, 8, 14, -22]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-23, -7, 15, -16, -13],
 [7, 17, 8, -23, -8],
 [-35, -9, -10, -3, -26],
 [-3, 9, -27, 6, -15],
 [-14, -15, 30, -11, 5]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 10, 22, 4, -6],
 [-7, -6, 19, -1, -2],
 [-14, -12, 38, -2, -4],
 [5, 20, 21, 7, -8],
 [-5, 0, 23, 1, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -22, -46, 46, -26],
 [-18, -27, 5, 12, 43],
 [-1, 27, 17, -32, -25],
 [17, 38, 0, -2, -32],
 [8, -9, 11, -32, 5]]

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