[User]
Calculate the rank of matrix A where A =
[[8, -8, -20, -12, 24],
 [0, 0, 0, 0, 0],
 [4, -4, -10, -6, 12],
 [8, -8, -20, -12, 24],
 [12, -12, -30, -18, 36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[35, -2, -56, 27, 49],
 [24, -24, -12, -6, -6],
 [31, -10, -40, 15, 29],
 [31, 2, -54, 28, 50],
 [-29, 2, 46, -22, -40]]

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


[User]
What is the rank of the matrix:
[[29, -45, -9, -26, -10],
 [3, 19, 40, -40, 4],
 [-14, -14, -38, 4, -19],
 [-25, 33, 15, -26, -7],
 [46, -40, 17, -14, 10]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -5, 40, -22, 35],
 [6, 10, -40, 20, -38],
 [5, 10, -50, 26, -46],
 [2, 1, 20, -8, 23],
 [5, 5, -25, 2, -42]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -8, 10, 0, -12],
 [-6, 8, -10, 0, 12],
 [18, -24, 30, 0, -36],
 [15, -20, 25, 0, -30],
 [6, -8, 10, 0, -12]]

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[User]
Calculate the rank of matrix A where A =
[[-5, 9, 16, 12, -17],
 [29, 1, -6, -24, -23],
 [31, -17, -6, -72, 9],
 [6, 8, 23, 12, -20],
 [-31, 2, 12, 18, 15]]

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


[User]
Find the rank of the matrix:
[[-12, 21, 22, -16, 18],
 [-12, -3, -10, -6, -8],
 [12, -9, -22, 17, -7],
 [0, 36, 32, -9, 37],
 [-20, -5, -22, -8, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -35, 8, 46, 29],
 [3, -19, 24, -3, -17],
 [-7, -9, -7, 0, 12],
 [-10, -4, 5, -16, -7],
 [9, 48, -20, -2, -8]]

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[User]
What is the rank of the matrix:
[[6, 18, -15, -6, 15],
 [12, 36, -30, -12, 30],
 [-8, -24, 20, 8, -20],
 [0, 0, 0, 0, 0],
 [4, 12, -10, -4, 10]]?

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


[User]
Calculate the rank of matrix A where A =
[[53, 87, -12, 15, 19],
 [-19, 0, 33, 0, -20],
 [-10, 6, 21, 0, -29],
 [28, 57, -4, -1, 0],
 [-38, -66, -6, -30, 8]]

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[User]
What is the rank of the matrix:
[[-33, 13, -44, 12, -8],
 [0, 15, -23, -28, -59],
 [-9, 18, 22, -27, -5],
 [-18, 0, -26, 20, 10],
 [-33, 28, 15, -17, 20]]?

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[User]
Determine the rank of the following matrix:
[[-14, 4, -27, -3, -28],
 [-23, -9, -36, 11, 6],
 [14, -11, 2, 16, 10],
 [32, -22, -9, 18, -8],
 [33, 21, 39, 8, -42]]

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


[User]
Find the rank of the matrix:
[[27, 26, -21, -6, -37],
 [-1, -52, 44, -42, 28],
 [-3, 40, -42, 42, -26],
 [-8, -24, 4, 0, 4],
 [-26, 19, -25, 48, 5]]

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[User]
Calculate the rank of matrix A where A =
[[12, -8, -8, -4, -4],
 [0, 0, 0, 0, 0],
 [-36, 24, 24, 12, 12],
 [-30, 20, 20, 10, 10],
 [30, -20, -20, -10, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-45, -9, -56, -16, 32],
 [12, 38, 26, -5, -2],
 [40, 24, 56, 6, -32],
 [-18, -5, -21, -12, 3],
 [8, 21, 15, 1, 3]]

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[User]
What is the rank of the matrix:
[[19, 27, -33, 30, 44],
 [2, -12, 18, -50, 0],
 [49, -16, 13, -52, -25],
 [2, 11, -23, 37, 24],
 [9, -8, 2, -8, -5]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-33, 54, 21, -5, 30],
 [-12, 21, -33, 13, -15],
 [-27, 21, -38, 8, 30],
 [28, -44, -38, 6, -27],
 [14, -13, 15, -33, 51]]

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[User]
Find the rank of the matrix:
[[19, 24, 0, 16, -24],
 [-24, -28, 44, 18, 28],
 [-10, -14, -26, -31, 14],
 [0, 2, 38, 33, -2],
 [19, 22, -38, -17, -22]]

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[User]
Determine the rank of the following matrix:
[[-21, 50, 43, 16, 11],
 [-31, 17, 1, -1, 6],
 [-28, 7, -22, -58, 7],
 [-33, 56, 37, 21, 19],
 [19, 24, -3, 5, 35]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-21, -32, 33, -13, 30],
 [4, -6, 16, 6, 12],
 [-13, -48, 13, -17, 22],
 [-8, 3, -14, -19, -16],
 [-23, 56, -5, 35, 4]]

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[User]
What is the rank of the matrix:
[[13, -19, -11, -3, 21],
 [-54, 18, 48, -15, -33],
 [9, 35, -9, 21, -29],
 [-17, 11, 7, -27, -3],
 [-11, -8, 10, -9, 4]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, 15, -30, 10, 5],
 [10, -6, 12, -4, -2],
 [15, -9, 18, -6, -3],
 [25, -15, 30, -10, -5],
 [-20, 12, -24, 8, 4]]

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[User]
What is the rank of the matrix:
[[-10, 11, -10, 0, -2],
 [-50, 59, -55, 22, -5],
 [0, 6, 0, 8, 0],
 [5, 2, 11, -10, -5],
 [0, 10, 4, 0, -4]]?

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

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


[User]
Determine the rank of the following matrix:
[[-13, 0, 3, -13, -3],
 [-17, -2, 4, -19, -4],
 [0, -10, -23, 18, 19],
 [-22, 8, -42, 42, 34],
 [14, 38, 7, 38, -5]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-23, 22, -14, -12, -5],
 [18, -12, 24, 24, 6],
 [-9, 16, 13, 16, 1],
 [-3, -8, -29, -32, -5],
 [-24, 26, -7, -4, -4]]

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


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

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[User]
What is the rank of the matrix:
[[-18, 27, 30, -15, -54],
 [34, 16, -10, 10, 4],
 [-38, -17, 25, -44, -4],
 [72, 36, -15, 9, 6],
 [-40, -19, 15, -20, -4]]?

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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, 19, -25, -1, 27],
 [-16, 3, -24, -17, 7],
 [19, -65, 37, -3, 30],
 [-16, 10, 13, 26, 26],
 [-47, 16, -44, -18, 33]]

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[User]
Calculate the rank of matrix A where A =
[[9, -12, -5, -10, -25],
 [1, -8, 16, -20, 11],
 [47, 17, 12, -2, 9],
 [-27, 42, 8, 5, 32],
 [22, 43, 7, 8, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, 21, 7, -5, -27],
 [12, 13, -35, 8, 2],
 [0, 26, -42, 12, -12],
 [18, 21, -27, -33, 15],
 [0, -16, 36, -24, 12]]

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


[User]
Find the rank of the matrix:
[[6, 5, 3, 1, -5],
 [36, 30, 18, 6, -30],
 [36, 30, 18, 6, -30],
 [0, 0, 0, 0, 0],
 [-6, -5, -3, -1, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 0, -18, -12, -3],
 [10, 0, 12, 8, 2],
 [-25, 0, -30, -20, -5],
 [-10, 0, -12, -8, -2],
 [-20, 0, -24, -16, -4]]

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


[User]
Find the rank of the matrix:
[[-5, 1, -4, -3, 2],
 [-12, 8, -12, -8, 12],
 [6, -4, 6, 4, -6],
 [13, 3, 8, 7, 2],
 [-34, 18, -32, -22, 28]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 3, 49, -20, -10],
 [-28, 32, 32, 34, -19],
 [-24, 36, 24, 54, -21],
 [10, -10, -12, -8, 6],
 [-55, 25, 25, 0, -10]]

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[User]
Calculate the rank of matrix A where A =
[[23, 16, -7, -19, 18],
 [-5, 32, -17, -23, -15],
 [-4, 34, -8, -24, -19],
 [-1, 27, -22, -21, -6],
 [4, 11, -59, -14, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -16, 33, 10, -13],
 [6, -4, -33, 8, 27],
 [12, 8, -24, -4, 12],
 [0, 8, 21, -10, -21],
 [18, 12, -36, -6, 18]]

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


[User]
Determine the rank of the following matrix:
[[1, 36, -41, -30, 7],
 [30, 0, 30, -36, -6],
 [-8, -18, 13, 24, -2],
 [-33, -18, -12, 54, 3],
 [-22, 18, -43, 12, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -15, 22, -3, -17],
 [-28, -5, -26, -26, 32],
 [-18, 29, -28, -6, 62],
 [-11, -20, -7, -12, -16],
 [11, 30, 17, 42, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[35, 48, 3, 42, -4],
 [55, 26, -14, 26, -29],
 [33, 8, -37, 38, -4],
 [6, 18, -13, 40, 15],
 [-13, 26, -25, 23, 49]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 17, -22, 9, -11],
 [44, -15, -9, 11, -16],
 [-4, -1, 5, -3, 4],
 [38, -23, 10, 1, -3],
 [20, -21, 21, -7, 8]]

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


[User]
What is the rank of the matrix:
[[27, 18, -45, 6, 15],
 [-15, -18, 21, 14, -13],
 [6, -12, -18, 36, -6],
 [-16, -28, 18, 34, -19],
 [-20, -20, 30, 10, -15]]?

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


[User]
What is the rank of the matrix:
[[-33, -6, 12, 28, -21],
 [-9, -18, 21, 4, -3],
 [11, -10, 9, -12, 9],
 [27, -18, 15, -28, 21],
 [3, -42, 45, -12, 9]]?

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


[User]
What is the rank of the matrix:
[[8, -1, -27, 0, -18],
 [6, 6, -27, -9, -9],
 [-12, 12, 30, -14, 34],
 [4, -17, 3, 22, -20],
 [-12, -9, 51, 14, 20]]?

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


[User]
What is the rank of the matrix:
[[-4, 2, 2, 5, -1],
 [-8, 4, 4, 10, -2],
 [-24, 12, 12, 30, -6],
 [16, -8, -8, -20, 4],
 [20, -10, -10, -25, 5]]?

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


[User]
Determine the rank of the following matrix:
[[-2, 5, 14, 15, -17],
 [22, 25, -7, 18, -6],
 [12, -38, -12, -42, 38],
 [15, 22, -3, 18, -9],
 [-2, -12, 14, 0, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 13, -5, -35, -4],
 [27, 27, 15, -15, 24],
 [-15, -5, -15, -25, -20],
 [9, 21, -3, -45, 0],
 [-21, -10, -19, -25, -26]]

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


[User]
Find the rank of the matrix:
[[6, 12, -10, 14, 10],
 [-37, 22, -5, 1, -31],
 [-33, -17, 20, -31, -34],
 [-29, 49, -5, 19, -14],
 [-58, 42, 6, 6, -4]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -39, 23, 45, 14],
 [-12, 22, -2, -16, 14],
 [-8, 39, -10, -36, 17],
 [-17, -13, -10, 42, -7],
 [12, 37, 3, -62, 11]]

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[User]
Calculate the rank of matrix A where A =
[[24, 18, 12, -6, -6],
 [4, 3, 2, -1, -1],
 [-12, -9, -6, 3, 3],
 [4, 3, 2, -1, -1],
 [24, 18, 12, -6, -6]]

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


[User]
What is the rank of the matrix:
[[46, 22, -23, -15, -36],
 [-27, 25, 62, 47, 21],
 [53, 58, 8, -1, 1],
 [56, -6, -32, -28, 0],
 [16, 7, 2, -4, 20]]?

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


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

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


[User]
What is the rank of the matrix:
[[0, -12, 4, 12, 8],
 [0, 6, -2, -6, -4],
 [0, -18, 6, 18, 12],
 [0, 30, -10, -30, -20],
 [0, -24, 8, 24, 16]]?

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


[User]
What is the rank of the matrix:
[[-33, 6, -27, -23, 19],
 [-41, 10, -38, -36, 20],
 [24, -12, 33, 39, -3],
 [7, -2, 7, 7, -3],
 [2, 8, -13, -23, -13]]?

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[User]
Calculate the rank of matrix A where A =
[[-20, 9, 20, -34, 8],
 [16, -17, 36, 29, -23],
 [-4, -5, 32, -5, -9],
 [9, -14, 31, 18, -19],
 [24, 12, -48, 30, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 7, 0, -12, -28],
 [-12, 0, -14, -12, 14],
 [-6, 6, -2, -12, -22],
 [-11, 7, -7, -18, -21],
 [30, -12, 25, 42, 23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, 67, -5, -16, 18],
 [-14, 19, -10, 11, 5],
 [28, -34, 38, -36, -16],
 [17, -29, -3, 14, 12],
 [-26, 21, 29, 6, 4]]

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


[User]
What is the rank of the matrix:
[[12, 60, 22, 14, -16],
 [-12, -13, 5, -1, -12],
 [42, 37, -9, 29, -26],
 [-11, -5, 10, 4, -23],
 [-10, 3, 15, 9, -34]]?

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


[User]
Determine the rank of the following matrix:
[[32, 2, 40, 26, -28],
 [-15, 16, -25, -11, 22],
 [18, -16, 28, 1, -28],
 [11, -24, 21, -21, -30],
 [3, -31, 13, -34, -28]]

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


[User]
What is the rank of the matrix:
[[66, -27, 9, -21, -31],
 [-27, 29, -22, 0, 3],
 [1, 1, 1, -43, 27],
 [15, -22, 44, -6, -26],
 [3, 13, -23, -27, 17]]?

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


[User]
Find the rank of the matrix:
[[-21, 9, 20, 16, -17],
 [9, -18, 18, 0, -12],
 [-3, -18, 26, 1, -26],
 [-52, 26, -20, -13, -24],
 [23, -10, 38, 31, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, 18, 9, 0, 12],
 [6, 12, 6, 0, 8],
 [-9, -18, -9, 0, -12],
 [6, 12, 6, 0, 8],
 [6, 12, 6, 0, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -31, -3, -22, -35],
 [-4, 0, -38, 18, 34],
 [-26, 25, -2, 56, 67],
 [-28, 13, -23, 46, 60],
 [-12, 3, -22, 24, 34]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[30, -34, 14, -22, -4],
 [-51, 37, -3, 40, 12],
 [-24, 0, 16, 21, 10],
 [-27, 5, 13, 23, 10],
 [18, 10, -22, -17, -10]]

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


[User]
What is the rank of the matrix:
[[28, 28, -27, 2, 27],
 [6, 9, 46, 17, 3],
 [-13, 30, 24, 31, -2],
 [6, 7, -63, -15, 10],
 [19, 4, 16, 1, 12]]?

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


[User]
What is the rank of the matrix:
[[38, 0, -10, 46, 26],
 [30, -28, -30, 54, 8],
 [-37, -6, 5, -41, -28],
 [16, 18, 10, 8, 19],
 [30, 48, 30, 6, 42]]?

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


[User]
Calculate the rank of matrix A where A =
[[14, -11, 6, -25, -13],
 [8, -4, 4, -24, -8],
 [-8, 24, 1, -61, 3],
 [2, -9, -1, 28, 0],
 [10, -9, 4, -13, -9]]

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


[User]
Find the rank of the matrix:
[[-3, 33, -22, 12, 14],
 [-9, 34, -14, 23, 16],
 [-3, -7, 10, 4, -2],
 [-15, 40, -10, 35, 20],
 [-18, 33, 0, 39, 18]]

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


[User]
Find the rank of the matrix:
[[-16, 20, 8, 12, -8],
 [-12, 27, 4, 1, 6],
 [24, -54, -8, -2, -12],
 [12, 15, -11, -29, 36],
 [-20, -11, 16, 39, -46]]

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


[User]
Calculate the rank of matrix A where A =
[[-46, 15, 49, 32, 12],
 [34, -17, -39, -24, -12],
 [48, -26, -56, -34, -18],
 [-10, -13, 3, 6, -6],
 [-4, 22, 14, 4, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[38, 14, 6, -76, 10],
 [-12, -31, 21, 45, -4],
 [-26, 5, -9, -23, -12],
 [34, 10, 19, 17, 46],
 [-4, 17, -14, -42, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[42, -54, 9, 3, -14],
 [-6, 18, 9, -21, 26],
 [40, -50, 10, 0, -10],
 [-18, 24, -3, -3, 8],
 [-6, 6, -3, 3, -2]]

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


[User]
Find the rank of the matrix:
[[-17, 23, 55, 7, -8],
 [18, -42, -36, -6, -48],
 [-6, 20, 26, 6, 17],
 [16, -14, 32, 22, -48],
 [-10, -13, -61, -25, 18]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-21, -23, 15, 40, 13],
 [-3, -31, 35, 34, 29],
 [5, 8, -3, -10, -1],
 [2, 39, -32, -38, -12],
 [-14, -27, -25, 5, -33]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-25, 8, 19, 0, 22],
 [12, 10, 6, 10, 2],
 [-38, -34, -10, -41, -11],
 [23, 8, 7, 6, -8],
 [-32, -20, -10, -21, 1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[6, -15, 34, -9, -34],
 [2, -44, -5, 26, 12],
 [-27, 20, -29, -7, 13],
 [6, -21, -22, 27, 46],
 [-36, 46, 2, -42, -24]]

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


[User]
What is the rank of the matrix:
[[6, -9, -9, 0, -15],
 [-8, 12, 12, 0, 20],
 [-8, 12, 12, 0, 20],
 [10, -15, -15, 0, -25],
 [4, -6, -6, 0, -10]]?

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


[User]
Find the rank of the matrix:
[[-10, 15, -25, 15, 20],
 [6, -9, 15, -9, -12],
 [-12, 18, -30, 18, 24],
 [2, -3, 5, -3, -4],
 [6, -9, 15, -9, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[23, -14, -30, 48, 18],
 [-24, 9, -36, 6, -30],
 [7, -1, 30, -18, 12],
 [-23, 11, -6, -18, -24],
 [32, -17, -12, 42, 30]]

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


[User]
Find the rank of the matrix:
[[-3, 12, -9, -9, 15],
 [-4, 16, -12, -12, 20],
 [-1, 4, -3, -3, 5],
 [3, -12, 9, 9, -15],
 [-2, 8, -6, -6, 10]]

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


[User]
What is the rank of the matrix:
[[6, -13, 6, -2, -9],
 [-20, 14, -31, 36, -14],
 [-20, 6, -34, 44, -26],
 [-16, 32, -17, 8, 20],
 [-10, 27, -8, -2, 23]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -30, -30, -15, 0],
 [-4, -6, -6, -3, 0],
 [24, 36, 36, 18, 0],
 [-4, -6, -6, -3, 0],
 [-24, -36, -36, -18, 0]]

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


[User]
Find the rank of the matrix:
[[-12, 38, -26, -20, 6],
 [-9, -52, -8, -6, -18],
 [6, -27, 2, -6, -48],
 [9, 16, 16, 14, 18],
 [-15, 8, -2, 14, 84]]

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


[User]
Determine the rank of the following matrix:
[[22, -12, -30, 0, 18],
 [9, -13, -15, 1, 25],
 [16, -19, -10, -8, 21],
 [1, 1, 60, -53, 46],
 [10, -11, -39, 24, -18]]

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


[User]
What is the rank of the matrix:
[[16, -49, -8, 3, -9],
 [-12, 24, 32, -26, 46],
 [-19, 6, 22, -27, -30],
 [67, -32, -26, 49, 8],
 [-17, 20, -6, 1, 16]]?

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


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

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


[User]
Find the rank of the matrix:
[[-34, -39, 27, 30, -21],
 [38, 10, 2, -53, 26],
 [-2, 43, -53, 1, 27],
 [-2, -18, 6, -33, 30],
 [20, -25, 41, -19, -15]]

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


[User]
Determine the rank of the following matrix:
[[12, 20, 24, -9, -22],
 [-12, 39, 14, 15, -18],
 [-9, -16, -18, 18, 8],
 [3, -2, 2, 6, -8],
 [-3, 2, -2, -6, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-80, 35, -49, 23, 49],
 [36, -13, 23, -7, 15],
 [-36, 52, -34, -8, 42],
 [29, 59, 6, 36, -20],
 [-1, 53, -15, -5, 12]]

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


[User]
What is the rank of the matrix:
[[41, 41, -48, -13, 22],
 [-6, -14, 27, 4, -17],
 [-24, -8, 36, -6, -26],
 [5, -27, 32, -45, -66],
 [62, 22, -33, -20, -3]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, 12, -24, 6, 19],
 [40, 15, -28, 7, 23],
 [-10, -12, 0, -6, -15],
 [40, 3, -30, 9, 15],
 [34, -3, -34, 1, 4]]

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


[User]
Determine the rank of the following matrix:
[[-8, 24, 8, 20, 16],
 [-8, 24, 8, 20, 16],
 [2, -6, -2, -5, -4],
 [-6, 18, 6, 15, 12],
 [2, -6, -2, -5, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, 2, 7, 6, -2],
 [-8, 2, 11, 7, -4],
 [-12, 6, -15, 9, 12],
 [-22, 10, -17, 17, 16],
 [1, -2, 17, 0, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, -15, 16, -20, -38],
 [7, 13, -29, -23, 24],
 [29, 19, -21, 43, 20],
 [-17, -12, 17, -9, -22],
 [9, -5, 13, -9, 24]]

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


[User]
Determine the rank of the following matrix:
[[-65, 12, 28, 13, 11],
 [40, -19, -17, -27, -9],
 [30, -12, -18, -6, -23],
 [13, -20, -26, -13, 44],
 [-38, 2, 24, -8, -9]]

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


[User]
Determine the rank of the following matrix:
[[3, 12, -12, 45, -33],
 [36, 37, 26, 23, 8],
 [-41, -15, -34, -32, -3],
 [8, 13, -6, 43, -28],
 [-23, -36, -20, 7, -23]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 18, -13, -12, -15],
 [21, -32, 7, 1, 5],
 [-34, 16, -11, 1, -3],
 [-61, 74, -9, -19, 9],
 [-8, 6, 24, 35, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -27, -44, -30, 0],
 [12, 6, 0, 28, 32],
 [12, 30, 34, 36, 4],
 [-16, -6, -28, -12, -8],
 [7, 21, 25, 22, -2]]

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


[User]
Find the rank of the matrix:
[[-5, 12, 25, -21, 26],
 [-16, 11, 11, 0, -27],
 [21, -29, -9, 12, -17],
 [-22, 48, 44, -12, -12],
 [44, -7, -4, 9, 39]]

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


[User]
Determine the rank of the following matrix:
[[-4, -31, 36, -22, 39],
 [37, -37, -1, -28, -7],
 [8, -13, 0, -13, 21],
 [26, 27, -47, 79, -32],
 [-1, -4, 3, -11, 6]]

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


[User]
What is the rank of the matrix:
[[-24, -8, -20, 24, 12],
 [36, 12, 30, -36, -18],
 [12, 4, 10, -12, -6],
 [18, 6, 15, -18, -9],
 [-30, -10, -25, 30, 15]]?

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


[User]
Calculate the rank of matrix A where A =
[[-25, 5, 25, 15, 25],
 [16, -17, 8, -15, 2],
 [-11, -7, 27, 3, 23],
 [-23, 23, -9, 21, -1],
 [12, 16, -44, 0, -36]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[56, -16, -6, 30, 58],
 [1, 25, -26, -7, -28],
 [-3, -3, 3, -3, -33],
 [21, 5, -14, 7, -4],
 [3, 3, -5, -1, -21]]

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


[User]
What is the rank of the matrix:
[[15, 34, -24, -26, 40],
 [1, 5, -10, 15, -5],
 [21, 25, -32, -26, 15],
 [-9, -3, 18, -3, 15],
 [-1, 8, 10, -23, 30]]?

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


[User]
Determine the rank of the following matrix:
[[-8, 33, -6, 8, 35],
 [-22, 55, 16, 9, 28],
 [6, 15, 15, -27, -15],
 [16, -53, -22, 8, -35],
 [9, -37, -56, 48, -32]]

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


[User]
What is the rank of the matrix:
[[40, -4, 12, 10, -20],
 [18, -16, 7, -42, -12],
 [-6, -18, -42, -4, -11],
 [18, 4, 8, 19, -7],
 [24, 14, 37, 16, -1]]?

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


[User]
Find the rank of the matrix:
[[10, -1, 0, -5, -26],
 [0, 33, -12, -33, -57],
 [-18, -4, 18, 11, 43],
 [4, -33, 6, 32, 51],
 [24, 30, -72, -30, -66]]

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


[User]
Find the rank of the matrix:
[[27, 17, -7, 3, 11],
 [11, 3, -5, 7, 8],
 [-33, -23, 3, -17, -19],
 [36, -4, -30, 20, 28],
 [15, -23, -39, -17, 5]]

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


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

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


[User]
What is the rank of the matrix:
[[10, 0, 11, -1, -9],
 [-40, 25, -27, 27, 8],
 [-48, 35, -29, 37, 4],
 [-46, 15, -26, 36, 15],
 [-32, 20, -27, 15, 10]]?

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


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

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


[User]
What is the rank of the matrix:
[[9, -12, 0, 0, 9],
 [-6, 8, 0, 0, -6],
 [-6, 8, 0, 0, -6],
 [12, -16, 0, 0, 12],
 [-15, 20, 0, 0, -15]]?

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


[User]
Calculate the rank of matrix A where A =
[[-14, -15, 22, -18, -10],
 [-1, 2, 16, 14, -5],
 [-18, -11, 22, 38, -20],
 [-7, 31, 0, 28, 25],
 [8, -12, -10, -8, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -15, -24, 4, -11],
 [48, 9, 3, -9, 5],
 [11, -46, 17, 16, 55],
 [-20, 10, -28, -44, -74],
 [-2, 2, -16, 39, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, -1, 9, 5, -10],
 [34, 21, -12, 22, 25],
 [-35, 1, 33, -11, 4],
 [-11, -12, 5, -19, -7],
 [0, -1, -14, 20, -19]]

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


[User]
Determine the rank of the following matrix:
[[26, -42, -14, -22, 12],
 [-5, 9, -1, 1, 0],
 [21, -31, -23, -28, 17],
 [33, -51, -27, -36, 21],
 [1, -1, -3, -3, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -28, 14, -38, -30],
 [22, -33, 21, -17, 25],
 [48, -17, -5, -9, 19],
 [29, 37, -52, -7, -59],
 [7, -25, 13, 0, 34]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -6, -36, -18, 0],
 [0, -1, -6, -3, 0],
 [0, 1, 6, 3, 0],
 [0, 3, 18, 9, 0],
 [0, 4, 24, 12, 0]]

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


[User]
Determine the rank of the following matrix:
[[14, 29, -16, -40, -33],
 [2, -4, 8, 19, 3],
 [-17, -35, 18, 54, 39],
 [-2, -2, 4, -24, 6],
 [-9, 3, -18, -35, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 20, 16, -32, -4],
 [5, 21, 20, -16, 11],
 [0, 1, 0, -6, -4],
 [4, 12, 16, 16, 28],
 [4, 12, 16, 16, 28]]

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


[User]
Determine the rank of the following matrix:
[[44, 8, -26, -2, 4],
 [24, -1, -8, 6, 0],
 [10, -43, 49, 23, -34],
 [30, 12, -25, -13, 4],
 [-14, 2, 1, 17, 11]]

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


[User]
What is the rank of the matrix:
[[6, 0, -1, -4, -12],
 [-12, 4, 6, -12, 0],
 [12, 1, -1, -13, -30],
 [-24, 12, 16, -44, -24],
 [-18, 0, 3, 12, 36]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -2, -24, -35, -11],
 [55, 36, -9, 30, -18],
 [11, -6, -45, -3, -15],
 [-8, -1, 20, 22, 8],
 [34, 31, -8, 26, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 31, -26, 2, -9],
 [-18, 9, -9, 24, 4],
 [36, 41, 26, 4, 29],
 [54, 8, 30, -10, 10],
 [6, 19, -3, -17, -2]]

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


[User]
Find the rank of the matrix:
[[39, 2, -37, -10, 3],
 [1, 2, 9, -35, -27],
 [42, -15, -38, -21, -25],
 [31, -4, -36, 14, 15],
 [6, -4, -9, 8, 8]]

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


[User]
Determine the rank of the following matrix:
[[35, -5, 5, -10, 25],
 [2, 0, 8, -6, 6],
 [5, 0, 20, -15, 15],
 [-2, 1, 19, -13, 10],
 [34, -5, 1, -7, 22]]

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


[User]
Find the rank of the matrix:
[[23, 9, -2, -47, -33],
 [-21, -15, -32, 44, 33],
 [-8, -3, 17, 27, 10],
 [6, 18, 20, -54, -10],
 [2, 3, 35, 12, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -10, 5, 10, 25],
 [-14, -12, 27, 6, -5],
 [-27, 0, 14, 3, -7],
 [-4, 9, -22, 0, 16],
 [-9, -3, 26, -3, -31]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -4, -2, 12, 4],
 [3, -2, -1, 6, 2],
 [-12, 8, 4, -24, -8],
 [0, 0, 0, 0, 0],
 [6, -4, -2, 12, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 1, 1, 5, 2],
 [-15, 5, 5, 25, 10],
 [10, 4, -12, -6, 8],
 [-39, -9, 39, 33, -18],
 [17, 9, -23, -7, 18]]

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


[User]
Determine the rank of the following matrix:
[[-20, 26, 48, -29, 24],
 [-52, -27, -3, 30, 42],
 [40, -8, 0, 15, -12],
 [24, -20, -27, 34, -30],
 [28, -21, -35, 13, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[21, 21, -6, -8, 10],
 [30, 15, -30, 10, -5],
 [54, 48, -24, -12, 18],
 [-12, 1, 22, -14, 11],
 [30, 29, -10, -10, 13]]?

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


[User]
Find the rank of the matrix:
[[1, 43, -12, 16, -22],
 [-4, 16, 12, 46, -26],
 [-13, -39, 14, 21, 22],
 [22, 30, -30, -23, -15],
 [-21, 19, 6, 69, -10]]

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


[User]
What is the rank of the matrix:
[[14, -5, -21, 22, -23],
 [13, -10, -17, 24, -21],
 [14, 10, -28, 12, -24],
 [6, 0, -10, 8, -10],
 [4, -10, -2, 12, -6]]?

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


[User]
Determine the rank of the following matrix:
[[-20, -5, -20, -10, -25],
 [-14, -5, -6, 4, -15],
 [-21, -6, -17, -5, -25],
 [30, 15, -10, -40, 25],
 [24, 9, 8, -10, 25]]

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


[User]
What is the rank of the matrix:
[[-2, -13, -9, 12, 0],
 [9, -36, 12, 30, 6],
 [3, 30, -16, -25, -17],
 [16, -1, 45, -3, 9],
 [13, 4, 0, -4, -12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 14, 2, 24, 54],
 [-11, 10, -26, 22, 5],
 [33, 25, 1, 7, -23],
 [-14, 6, -6, 30, 46],
 [-12, -7, -1, -5, 13]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 35, 20, -20, 50],
 [12, 14, 8, -8, 20],
 [2, -17, 12, -8, -6],
 [14, -32, 36, -26, 0],
 [21, -19, 38, -29, 14]]

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


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

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[User]
Determine the rank of the following matrix:
[[2, -6, -8, -18, -28],
 [9, 17, 8, 15, -11],
 [12, 28, 9, 17, -16],
 [5, 37, -6, -11, -17],
 [-19, 5, -15, -24, 45]]

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[User]
Determine the rank of the following matrix:
[[-18, -18, 9, 12, 6],
 [-6, -6, 3, 4, 2],
 [30, 30, -15, -20, -10],
 [36, 36, -18, -24, -12],
 [-6, -6, 3, 4, 2]]

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

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[User]
What is the rank of the matrix:
[[-28, -39, -6, -36, 40],
 [-42, -27, -2, 12, 34],
 [13, 1, 7, -6, -27],
 [-20, -18, -8, -6, 32],
 [8, 13, 28, -33, -34]]?

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[User]
Determine the rank of the following matrix:
[[28, -21, 2, -8, -15],
 [0, 0, 0, 0, 0],
 [40, -27, 10, -8, -25],
 [7, -21, -37, -20, 15],
 [-2, -6, -18, -8, 10]]

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


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

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[User]
Compute the rank of the given 5x5 matrix:
[[-17, -3, 16, 2, -20],
 [0, 18, 24, 18, -6],
 [-30, -39, 37, -36, 29],
 [-4, -12, 18, -14, 28],
 [-9, -15, 15, -15, 18]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-8, -8, -1, -3, -9],
 [-39, 26, 13, 49, 26],
 [-24, 9, 18, 13, 46],
 [61, 19, -13, -70, -12],
 [-15, -39, -6, -15, -33]]

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[User]
Determine the rank of the following matrix:
[[-4, -2, -24, 14, -13],
 [-36, 16, 14, -6, 43],
 [-22, 10, 14, -6, 29],
 [-7, 3, 0, 0, 7],
 [32, -4, -30, -2, -27]]

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[User]
What is the rank of the matrix:
[[1, -7, 8, -12, 15],
 [-35, -13, 44, 24, -3],
 [4, 11, -4, 6, -21],
 [45, 22, -56, -26, -8],
 [-27, -1, -12, 48, -15]]?

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[User]
Find the rank of the matrix:
[[20, 1, 26, 7, 16],
 [-5, -6, 5, 4, 19],
 [30, 5, 32, 7, 10],
 [-25, -6, -23, -4, -1],
 [0, -1, 2, 1, 4]]

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[User]
Calculate the rank of matrix A where A =
[[-25, 25, 67, -9, -15],
 [-20, 4, 15, -10, 3],
 [-40, -3, -11, 7, 33],
 [15, -13, -24, -17, -6],
 [15, 14, 40, -10, -30]]

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[User]
Calculate the rank of matrix A where A =
[[-72, 33, 21, -3, -15],
 [66, -28, -35, 14, 25],
 [18, 9, -18, 33, 24],
 [-24, -1, 1, -16, -10],
 [-12, -11, -7, -20, -8]]

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[User]
Calculate the rank of matrix A where A =
[[-24, 2, -20, 7, -10],
 [2, 14, 0, -16, 10],
 [14, -4, 12, -1, 4],
 [16, -24, 16, 20, -8],
 [-26, -12, -20, 23, -20]]

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[User]
Find the rank of the matrix:
[[12, -1, -23, 13, 3],
 [-42, 10, 9, -26, -30],
 [-36, 8, 14, -24, -24],
 [6, -2, 5, 2, 6],
 [-24, 8, -20, -8, -24]]

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[User]
Calculate the rank of matrix A where A =
[[-3, -27, 72, -16, -51],
 [-5, 33, -72, 20, 44],
 [43, -27, 21, 22, 30],
 [-31, 47, -75, -8, 21],
 [36, -54, 78, 46, -22]]

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[User]
Determine the rank of the following matrix:
[[3, -9, -18, -18, 33],
 [6, -29, -14, 19, 11],
 [5, -25, -10, 20, 5],
 [-3, 14, 8, -7, -8],
 [1, -7, 2, 14, -9]]

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[User]
Calculate the rank of matrix A where A =
[[-6, -1, 27, -13, 5],
 [3, 0, -17, 7, -2],
 [0, -2, -14, 2, 2],
 [-9, -12, -33, -9, 18],
 [-9, -8, -5, -13, 14]]

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[User]
Find the rank of the matrix:
[[-6, -14, 14, 36, -21],
 [-6, 0, 6, 0, -11],
 [12, -6, -24, -18, 34],
 [-22, -14, 4, -23, -10],
 [-28, -10, 36, 22, -19]]

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[User]
Determine the rank of the following matrix:
[[11, -21, 12, 19, 1],
 [2, -10, 6, 8, 0],
 [-18, -12, 9, 3, -3],
 [-18, -12, 9, 3, -3],
 [22, 26, -18, -12, 4]]

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[User]
Determine the rank of the following matrix:
[[-33, -60, 18, -45, -39],
 [-60, -6, -24, -60, -66],
 [17, 26, -34, 14, 16],
 [12, -33, 48, 12, 15],
 [35, -24, 42, 33, 39]]

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[User]
What is the rank of the matrix:
[[1, 9, -42, -17, -60],
 [20, -24, 0, -15, -15],
 [-30, -6, 48, 25, -5],
 [-18, -27, -17, -10, 35],
 [-25, 6, 9, 10, -50]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[10, 0, -15, -6, -3],
 [22, 30, 21, -18, 21],
 [1, 5, 6, -2, 4],
 [3, 20, 34, -4, 18],
 [0, -20, -29, 6, -17]]

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[User]
What is the rank of the matrix:
[[8, -8, 23, 20, -11],
 [27, -21, 18, 12, 27],
 [19, -19, 2, 6, 43],
 [-17, 12, -37, -26, -22],
 [39, -40, 17, 24, 12]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[30, 30, -25, 15, -10],
 [-12, -12, 10, -6, 4],
 [-6, -6, 5, -3, 2],
 [-24, -24, 20, -12, 8],
 [-36, -36, 30, -18, 12]]

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[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-20, 24, 12, 12, -4],
 [-15, 18, 9, 9, -3],
 [-15, 18, 9, 9, -3],
 [20, -24, -12, -12, 4]]

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[User]
What is the rank of the matrix:
[[-5, -24, -2, -8, 3],
 [30, 14, 12, -4, -31],
 [-55, 6, -22, 20, 60],
 [15, -38, 6, -20, -20],
 [-20, 34, -8, 20, 25]]?

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[User]
Calculate the rank of matrix A where A =
[[-19, -31, 0, -7, -63],
 [5, -39, 8, 17, -59],
 [10, 27, 0, 0, 56],
 [11, -7, 12, 11, 21],
 [-4, 33, -8, -14, 46]]

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[User]
Calculate the rank of matrix A where A =
[[-26, -16, 26, -10, -33],
 [-18, 13, -22, 17, -15],
 [33, 28, 14, -26, 23],
 [-6, -18, 2, 8, -19],
 [-26, 17, 30, -27, -20]]

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[User]
Calculate the rank of matrix A where A =
[[-15, 18, -14, 38, -24],
 [12, -35, -37, -36, -20],
 [37, 15, 14, 47, 11],
 [-55, 28, -18, 28, -38],
 [48, -18, -9, 3, 4]]

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[User]
Determine the rank of the following matrix:
[[16, -24, 12, -12, -16],
 [24, -36, 18, -18, -24],
 [0, 0, 0, 0, 0],
 [4, -6, 3, -3, -4],
 [0, 0, 0, 0, 0]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-19, -1, 4, 37, 15],
 [-20, -3, 1, 31, 15],
 [-14, -30, -12, -42, -6],
 [11, 25, -12, 3, 9],
 [-14, -41, -1, -43, -15]]

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

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[User]
Calculate the rank of matrix A where A =
[[-8, 22, -5, 21, -27],
 [6, -12, 0, -8, 12],
 [-13, 20, 5, 7, -15],
 [17, -4, -25, 29, -21],
 [2, -28, 20, -44, 48]]

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[User]
Find the rank of the matrix:
[[-66, -6, 21, -43, 45],
 [12, 3, -21, 4, -12],
 [6, -1, 12, 7, -1],
 [6, 2, -15, 1, -7],
 [12, -1, 15, 12, -4]]

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[User]
What is the rank of the matrix:
[[-25, -15, -25, 5, -20],
 [3, 1, -3, -11, 6],
 [10, 4, -5, -28, 17],
 [39, 21, 21, -39, 42],
 [-3, -1, 3, 11, -6]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-30, 45, -18, 21, -12],
 [21, 21, -3, 6, 3],
 [0, -15, 0, -9, -18],
 [-18, 57, -16, 27, 6],
 [19, 19, 1, 8, 19]]

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[User]
Compute the rank of the given 5x5 matrix:
[[18, -24, -30, -30, -24],
 [9, -12, -15, -15, -12],
 [6, -8, -10, -10, -8],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0]]

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[User]
Calculate the rank of matrix A where A =
[[2, -15, -10, 18, 7],
 [11, -4, -16, 22, -17],
 [-19, 18, 18, -40, 21],
 [6, 11, -14, 6, -19],
 [-3, 1, 42, -28, 6]]

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[User]
What is the rank of the matrix:
[[0, 0, 20, 12, -4],
 [-6, -6, 18, 10, -1],
 [6, 6, 12, 8, -5],
 [-6, -6, 28, 16, -3],
 [30, 30, -15, -5, -10]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-38, -21, 11, 58, 58],
 [-10, -10, -17, 2, 3],
 [86, 70, 34, -50, -30],
 [56, 43, 10, -42, -29],
 [13, 29, 35, 30, 43]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-38, 30, 34, 6, 18],
 [-5, 5, 5, 1, 1],
 [-16, 20, 18, 4, -2],
 [-40, 20, 30, 4, 34],
 [23, -15, -19, -3, -15]]

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[User]
Calculate the rank of matrix A where A =
[[30, 48, 36, 0, -15],
 [-16, -15, 27, -18, 40],
 [17, 24, 9, 6, -20],
 [-6, -7, -3, -6, 16],
 [-38, -61, -39, 2, 13]]

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[User]
Determine the rank of the following matrix:
[[-11, 29, -25, -25, 4],
 [35, 13, -37, -27, 27],
 [25, 53, -33, -41, 14],
 [-16, 26, -12, -14, -5],
 [40, 32, -40, -40, 28]]

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[User]
Calculate the rank of matrix A where A =
[[31, -23, -36, -10, 30],
 [30, 26, -11, 14, -7],
 [29, -3, 1, 27, 47],
 [-52, -15, 43, 11, 37],
 [40, 18, -39, -12, -35]]

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[User]
Calculate the rank of matrix A where A =
[[-10, 2, -34, -4, -34],
 [-13, 20, 5, -12, 2],
 [-23, 13, -26, -3, -54],
 [24, -36, -18, 18, -2],
 [11, -22, -1, 18, -14]]

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

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


[User]
Compute the rank of the given 5x5 matrix:
[[59, -19, 5, 21, -14],
 [55, 5, 31, -18, 34],
 [7, 13, -5, -8, 2],
 [23, -33, 11, 26, -12],
 [-60, 0, -6, -3, 0]]

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

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[User]
Calculate the rank of matrix A where A =
[[-5, 0, 0, 0, -8],
 [-45, -28, -28, 28, 26],
 [10, 14, 14, -14, -33],
 [-15, -8, -8, 8, 4],
 [40, 28, 28, -28, -34]]

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

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[User]
Calculate the rank of matrix A where A =
[[-3, 6, 6, 18, 18],
 [2, -4, -4, -12, -12],
 [2, -4, -4, -12, -12],
 [3, -6, -6, -18, -18],
 [2, -4, -4, -12, -12]]

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

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[User]
Find the rank of the matrix:
[[-45, -4, 12, 22, 0],
 [30, 23, -26, -6, 23],
 [-3, 43, -36, 20, 45],
 [62, 2, -5, -35, -18],
 [22, -57, 29, -32, -32]]

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


[User]
Find the rank of the matrix:
[[-7, -12, 17, -3, 21],
 [-10, 0, 14, 6, 6],
 [-12, -27, 33, -9, 45],
 [-10, 15, 5, 15, -15],
 [13, -12, -11, -15, 9]]

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

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 9, 6, -6, -3],
 [-20, -12, -8, 8, 4],
 [4, 12, 20, 8, -28],
 [-21, -15, -13, 6, 11],
 [-18, -6, 2, 12, -10]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-14, -2, 2, 12, -2],
 [30, -6, -10, -32, 10],
 [-34, -46, -18, 4, 18],
 [11, -19, -13, -22, 13],
 [12, -24, -16, -26, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -19, -23, -9, -16],
 [0, 5, 25, 0, 5],
 [3, -9, 27, -9, -6],
 [4, -18, 6, -12, -14],
 [-5, 21, -15, 15, 16]]

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


[User]
Find the rank of the matrix:
[[28, 8, -8, 4, 16],
 [-9, -3, -4, -10, -6],
 [79, 26, -18, 18, 46],
 [-57, -18, 6, -22, -34],
 [10, -16, -36, -46, 0]]

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[User]
Calculate the rank of matrix A where A =
[[38, 26, 5, 29, 28],
 [-24, 5, -25, -24, -27],
 [24, 50, -10, 8, 2],
 [-11, -29, 25, -3, 1],
 [20, -2, 10, 20, 22]]

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[User]
Calculate the rank of matrix A where A =
[[0, -7, -4, -13, -19],
 [14, -7, -20, -23, -11],
 [-2, -4, 0, -6, -12],
 [2, 4, 0, 6, 12],
 [-7, -7, 4, -8, -23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 0, -8, -2, 6],
 [20, 0, -16, -4, 12],
 [-25, 0, 20, 5, -15],
 [-25, 0, 20, 5, -15],
 [15, 0, -12, -3, 9]]

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[User]
Calculate the rank of matrix A where A =
[[39, 12, -5, 27, 27],
 [-54, 0, -6, -42, -36],
 [21, 84, -59, 9, 35],
 [9, -36, 45, -24, 29],
 [12, -60, 46, 18, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -18, -5, -4, -4],
 [-31, -4, 37, 1, 48],
 [0, -18, -27, -24, -24],
 [0, 0, 20, 14, 20],
 [-42, 6, 35, -6, 48]]

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


[User]
What is the rank of the matrix:
[[-11, -4, 41, -47, -41],
 [7, -62, -22, 0, 29],
 [-2, 32, -4, 16, 14],
 [4, -27, 7, -19, 26],
 [-7, -52, -7, -15, 31]]?

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[User]
What is the rank of the matrix:
[[-8, 49, -37, -9, -46],
 [15, -13, 32, 29, -2],
 [35, 14, 37, 36, -26],
 [5, 10, -14, 9, -21],
 [16, -16, -14, 11, -1]]?

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[User]
Determine the rank of the following matrix:
[[-2, -48, 36, 18, 7],
 [0, 43, -30, -3, -14],
 [-28, 20, -28, 24, -23],
 [-15, -31, 18, 30, -7],
 [38, 34, 12, 24, -24]]

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


[User]
Determine the rank of the following matrix:
[[24, 4, -24, 4, -24],
 [-12, 1, 24, -7, 10],
 [24, 4, -24, 4, -24],
 [-27, -12, -3, 8, 32],
 [-12, -5, 0, 3, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 15, 35, -10, 40],
 [6, -24, -8, 28, 20],
 [-6, -3, 17, 8, 34],
 [3, -21, -1, 26, 28],
 [-3, -6, 10, 10, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -12, -11, 18, -13],
 [-1, -16, -8, 24, -14],
 [-5, -4, -21, 6, -13],
 [-6, -20, -29, 30, -27],
 [-8, -20, -37, 30, -31]]

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


[User]
Find the rank of the matrix:
[[12, -36, -33, -9, 48],
 [2, -15, -1, 3, 35],
 [2, -13, -2, 2, 29],
 [8, -10, -29, -13, -10],
 [-12, 42, 30, 6, -66]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, -16, 2, -32, -8],
 [-15, -16, -31, -29, 21],
 [-21, -20, -62, -43, 39],
 [-3, -8, -47, -28, 24],
 [34, 24, 44, 36, -36]]

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


[User]
What is the rank of the matrix:
[[-17, -7, -36, 31, -22],
 [-8, 4, -6, 31, -14],
 [3, 5, 12, 3, 2],
 [-4, -8, -18, -7, -2],
 [-6, -6, -18, 3, -6]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, 4, 11, -4, 14],
 [-66, 24, -30, 48, -36],
 [32, -8, 18, -22, 22],
 [4, 4, 7, -1, 9],
 [-41, 24, -10, 33, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 0, -24, 36, -12],
 [-4, 0, -8, 12, -4],
 [-16, 4, -12, 26, -4],
 [-10, 6, 10, -3, 8],
 [-4, -2, -18, 23, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 4, 5, 6, 3],
 [-3, -12, -15, -18, -9],
 [13, 22, 20, 12, 18],
 [-10, 10, 25, 50, 5],
 [-1, -14, -20, -28, -10]]

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


[User]
Find the rank of the matrix:
[[-9, 24, 7, -24, 2],
 [6, -30, -12, 27, -6],
 [13, -44, -15, 42, -6],
 [-37, -4, -25, -18, -26],
 [-3, 36, 17, -30, 10]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[21, 19, -9, 15, -14],
 [-6, 6, 30, 6, -36],
 [-41, -29, 37, -22, -1],
 [12, 18, 12, 15, -33],
 [4, 6, 4, 5, -11]]

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


[User]
Find the rank of the matrix:
[[-12, 6, -36, -24, -18],
 [2, -20, 29, -32, 8],
 [-16, -2, -1, -27, -7],
 [-2, 27, -16, 60, -1],
 [4, 5, 25, 36, 13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, 16, -6, -17, 9],
 [29, 26, -3, 25, -30],
 [-44, 8, 24, 11, -45],
 [-44, -2, 16, 21, -39],
 [79, 16, -28, 0, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, -30, -20, -5, 0],
 [5, 55, 20, 10, 5],
 [9, 15, 0, 3, 3],
 [2, -6, -4, -1, 0],
 [25, -5, -20, 0, 5]]

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


[User]
Find the rank of the matrix:
[[-34, -1, 59, -15, 57],
 [-16, 3, -22, 9, 1],
 [20, 7, -59, 21, -37],
 [-18, -24, 56, -4, 26],
 [-42, 10, -7, 10, 38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -16, -13, 32, -10],
 [-25, -29, -16, 18, 1],
 [25, 21, -22, -2, 15],
 [-20, -14, 21, -4, -11],
 [20, 18, 43, -4, -27]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 16, -4, -26, 2],
 [10, 36, -8, -38, 10],
 [-30, 6, 0, 21, 9],
 [23, -16, -6, -11, -1],
 [9, 2, 4, -7, -7]]

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


[User]
Find the rank of the matrix:
[[5, 1, 19, -14, -11],
 [-4, -6, -10, 12, 1],
 [22, 19, 21, 7, -4],
 [-18, -26, -20, 16, -7],
 [-5, -11, 5, -12, 0]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[24, -30, 30, -24, -54],
 [-12, 0, -6, 12, 18],
 [10, 5, 2, -10, -12],
 [-30, 15, -24, 30, 54],
 [-10, 15, -14, 10, 24]]

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


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

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


[User]
What is the rank of the matrix:
[[-36, 12, -6, -60, -6],
 [-26, 12, -1, -35, 4],
 [-2, -4, -5, -15, -12],
 [30, -10, 5, 50, 5],
 [4, -6, -4, -5, -11]]?

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


[User]
Find the rank of the matrix:
[[-24, -24, 24, -36, -12],
 [0, 0, 0, 0, 0],
 [-16, -16, 16, -24, -8],
 [8, 8, -8, 12, 4],
 [20, 20, -20, 30, 10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -6, -3, -5, 0],
 [-24, 24, 12, 20, 0],
 [-12, 12, 6, 10, 0],
 [6, -6, -3, -5, 0],
 [-24, 24, 12, 20, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-59, 10, 8, -12, 47],
 [-34, 8, -15, 22, 6],
 [26, -10, 26, -48, 11],
 [46, 19, -11, 0, -32],
 [-11, -12, 2, -20, 6]]?

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


[User]
What is the rank of the matrix:
[[32, -42, -8, 13, 19],
 [-24, 6, 9, -83, -39],
 [-1, 9, 0, 4, 16],
 [3, -27, -33, -72, 6],
 [-22, 48, 14, 21, 12]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, -11, -39, 17, -6],
 [-1, -11, -39, 17, -6],
 [-16, -5, -16, 6, 18],
 [26, 7, 22, -8, -30],
 [9, 9, 31, -13, -6]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 3, -15, -6, 18],
 [4, 1, -5, -2, 6],
 [-24, -6, 30, 12, -36],
 [0, 0, 0, 0, 0],
 [-12, -3, 15, 6, -18]]

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


[User]
What is the rank of the matrix:
[[-24, 12, -40, 9, 18],
 [8, -4, 14, -2, -6],
 [-20, 10, -19, 29, 15],
 [-8, 4, -12, 5, 6],
 [4, -2, 1, -10, -3]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 19, -15, 8, -26],
 [-3, 1, 27, -16, -14],
 [4, -6, -8, 5, 14],
 [2, -2, -10, 6, 8],
 [-5, 11, -11, 6, -14]]

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


[User]
Find the rank of the matrix:
[[-20, -50, 16, 4, 45],
 [23, 17, -10, 2, -18],
 [3, 37, -8, -6, -32],
 [-3, 23, -6, -2, -16],
 [26, -6, -18, 20, 16]]

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


[User]
What is the rank of the matrix:
[[-46, 17, -7, 7, -50],
 [-20, -10, 20, 18, -10],
 [-18, 68, -79, 2, -38],
 [37, -14, -10, 11, -2],
 [-33, 31, -26, -26, -40]]?

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-15, -6, -9, -6, -3],
 [-5, -2, -3, -2, -1],
 [25, 10, 15, 10, 5],
 [30, 12, 18, 12, 6]]?

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


[User]
Determine the rank of the following matrix:
[[-26, -9, -25, 4, -4],
 [30, 9, -3, 18, 0],
 [58, 6, 31, -13, 14],
 [-66, 0, 2, -3, -14],
 [14, -3, -6, 0, 4]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [36, -36, 36, 36, -30],
 [0, 0, 0, 0, 0],
 [24, -24, 24, 24, -20],
 [24, -24, 24, 24, -20]]?

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


[User]
Find the rank of the matrix:
[[-20, -30, 15, -25, -55],
 [-20, -36, 14, -22, -46],
 [21, 30, -16, 27, 60],
 [-4, -18, 1, 1, 7],
 [-3, -18, 0, 3, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[-17, 16, -15, 36, -25],
 [-37, -4, 2, -10, 29],
 [-1, -13, -15, 1, -5],
 [-13, -13, 20, -24, 26],
 [-3, -18, 29, 5, -20]]?

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


[User]
Determine the rank of the following matrix:
[[-15, -42, 5, 2, 15],
 [56, 49, -9, -28, 26],
 [47, 56, -64, -31, -2],
 [20, -5, 4, -12, 26],
 [38, 26, 17, -6, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, 48, 21, 30, -3],
 [-20, 61, 0, 25, 1],
 [12, -27, -8, -15, 1],
 [-12, -21, 48, 15, -9],
 [-20, 37, 20, 25, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -38, 38, 26, -5],
 [56, 15, -64, -25, 16],
 [16, -48, 15, 26, -2],
 [-12, 35, -12, -5, -22],
 [-12, 12, 4, -4, -2]]

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


[User]
Find the rank of the matrix:
[[-25, -15, -12, 24, -10],
 [-24, -2, -10, 0, 0],
 [24, -12, 12, -12, 27],
 [-5, -11, 2, 25, -3],
 [-15, 3, 6, -15, 30]]

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


[User]
Find the rank of the matrix:
[[12, -11, -4, 22, 5],
 [-36, 7, -18, -21, -33],
 [0, 59, -34, -21, 7],
 [-2, 14, 2, -15, 4],
 [-1, 35, -14, -9, -10]]

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


[User]
Determine the rank of the following matrix:
[[-2, -4, -1, -4, 1],
 [-12, -24, -6, -24, 6],
 [-20, -20, -24, -4, -8],
 [22, 14, 32, -10, 16],
 [9, 3, 15, -9, 9]]

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


[User]
What is the rank of the matrix:
[[36, -54, 18, 0, -48],
 [-6, 0, 9, -9, 10],
 [10, -12, 1, 3, -14],
 [16, -21, 4, 3, -22],
 [6, 0, -9, 9, -10]]?

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


[User]
What is the rank of the matrix:
[[-10, 10, -15, 15, 25],
 [2, -2, 3, -3, -5],
 [10, -10, 15, -15, -25],
 [-10, 10, -15, 15, 25],
 [12, -12, 18, -18, -30]]?

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [15, -5, -20, -30, 30],
 [15, -5, -20, -30, 30],
 [12, -4, -16, -24, 24],
 [-3, 1, 4, 6, -6]]

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


[User]
What is the rank of the matrix:
[[-3, 20, 9, -44, 40],
 [-17, 0, -38, -1, -36],
 [-29, 24, -86, 15, -62],
 [2, -3, 26, -13, 7],
 [30, 6, 36, 48, 30]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, 11, -35, -3, 18],
 [-29, -1, -19, -33, 15],
 [-8, 3, -19, -15, 12],
 [12, 3, -3, 9, 0],
 [7, -2, 14, 12, -9]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 0, -10, 2, -6],
 [6, 18, 6, -12, -30],
 [12, 0, -30, 6, -18],
 [-3, -15, -10, 11, 22],
 [12, -18, -51, 21, 3]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 40, 46, 26, 4],
 [0, 21, 27, 12, -3],
 [4, 30, 44, 14, -14],
 [16, -34, -22, -32, -34],
 [-8, 3, -7, 8, 19]]

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


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

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


[User]
What is the rank of the matrix:
[[1, -5, 5, -4, 10],
 [4, -10, 20, 14, 0],
 [-2, 10, -10, 8, -20],
 [5, -5, 25, 40, -30],
 [0, 2, 0, 6, -8]]?

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


[User]
Find the rank of the matrix:
[[-24, 11, 3, 6, 14],
 [84, 14, -36, -12, -46],
 [48, 42, -38, 0, -24],
 [-72, -9, 39, 0, 36],
 [30, 35, -24, -3, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 8, -12, 10, 4],
 [-6, 24, -36, 30, 12],
 [4, -16, 24, -20, -8],
 [-4, 16, -24, 20, 8],
 [-5, 20, -30, 25, 10]]

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


[User]
What is the rank of the matrix:
[[0, -2, -6, -12, -2],
 [-8, 13, 17, 36, 3],
 [-8, 4, -10, -18, -6],
 [4, -3, 2, 3, 2],
 [16, -15, -1, -6, 5]]?

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


[User]
Determine the rank of the following matrix:
[[-23, 41, -28, 27, 39],
 [5, 6, -18, 11, -2],
 [1, 25, -1, 17, 16],
 [-31, -5, 11, 33, -6],
 [-29, 10, 25, 23, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -30, -4, 6, -9],
 [12, -10, 8, -16, 1],
 [-18, 26, 13, -18, 8],
 [-10, 12, -15, 26, -1],
 [5, -6, 10, -17, 1]]

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


[User]
Determine the rank of the following matrix:
[[10, 10, -10, -30, 0],
 [-8, -8, 8, 24, 0],
 [-12, -28, 12, 4, -16],
 [-4, -20, 4, -20, -16],
 [-4, -24, 4, -28, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [2, 0, 0, 2, -10],
 [6, 0, 0, 6, -30],
 [-1, 0, 0, -1, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-19, 28, -21, -15, -2],
 [42, 12, 27, -24, 75],
 [8, 13, 8, 0, 37],
 [-2, 2, -6, -10, -10],
 [2, -5, 4, 6, 1]]

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


[User]
Find the rank of the matrix:
[[4, 5, -6, 3, -1],
 [3, -18, 3, -18, 6],
 [-13, 20, 7, 24, -8],
 [-24, 28, 16, 36, -12],
 [17, -15, -13, -21, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, 0, 0, -42, 32],
 [24, 12, 6, 48, -36],
 [20, -44, -22, 13, -12],
 [12, 12, 6, 27, -20],
 [-8, 44, 22, 8, -4]]

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


[User]
Find the rank of the matrix:
[[25, -7, -25, 26, 28],
 [27, 3, -35, 46, 44],
 [5, 1, 11, -6, -4],
 [-15, 27, 48, -20, -23],
 [15, -9, -19, 14, 16]]

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


[User]
Determine the rank of the following matrix:
[[15, 0, 10, 3, -3],
 [6, -3, 15, -9, -15],
 [-28, 7, -11, 17, 5],
 [-30, 21, 5, 36, -5],
 [-18, -30, 12, 39, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 29, -18, -4, 59],
 [12, 36, 18, -9, 45],
 [-8, -38, -6, 3, -67],
 [24, 10, 54, 13, 19],
 [10, 36, 12, -4, 58]]

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


[User]
Find the rank of the matrix:
[[0, -48, -27, 6, 18],
 [0, -40, -21, 26, 30],
 [0, -26, -12, 40, 36],
 [0, 44, 24, -16, -24],
 [0, 9, 6, 12, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -56, -32, 2, 2],
 [-22, -8, 7, 26, -5],
 [-16, -6, 11, 7, -4],
 [-16, -50, -16, -23, 1],
 [34, 0, -32, -22, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, 62, 7, 16, 32],
 [-1, 6, -11, -12, 14],
 [-7, -18, -3, 2, -15],
 [-10, -12, -12, -4, -6],
 [-6, 28, -4, 12, 10]]

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


[User]
Find the rank of the matrix:
[[-22, 20, -22, 8, 0],
 [-17, 20, -19, 6, -2],
 [3, -30, 15, 0, 12],
 [-6, 10, -8, 2, -2],
 [-3, 30, -15, 0, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 1, -10, 9, -5],
 [-4, 5, 18, -3, 7],
 [28, -16, 7, -36, 8],
 [36, -22, -1, -42, 6],
 [20, -11, 8, -27, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, 13, -32, 4, -36],
 [-8, -2, 6, 8, -2],
 [-24, 12, -28, 16, -44],
 [-19, 2, -3, 16, -19],
 [-3, -3, 8, 4, 4]]

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


[User]
Find the rank of the matrix:
[[34, -42, -2, 46, -6],
 [23, -32, -31, -1, 1],
 [-34, 42, 78, 16, -6],
 [8, -11, -34, -19, 4],
 [-40, 48, 48, -20, 0]]

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


[User]
What is the rank of the matrix:
[[2, -20, 8, 8, 44],
 [4, 38, 5, 0, -25],
 [-18, -18, -11, -16, 7],
 [27, 1, 13, 26, 2],
 [-20, -10, -14, -20, -8]]?

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


[User]
Determine the rank of the following matrix:
[[21, -5, -1, 18, -2],
 [0, -2, -34, 6, 16],
 [16, 5, 16, 9, -34],
 [-13, 2, -60, -1, 22],
 [-13, -3, 2, -10, 20]]

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


[User]
Find the rank of the matrix:
[[-10, 44, -22, -22, -25],
 [6, -41, 29, 26, 32],
 [44, -27, 6, 9, -12],
 [38, -23, -16, 26, 14],
 [14, -18, 21, 36, 39]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -42, -24, -33, 23],
 [-28, 31, -1, 1, 1],
 [12, 36, -17, -12, -10],
 [23, 53, 27, 52, -36],
 [20, 5, -13, 13, -12]]

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


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

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


[User]
Find the rank of the matrix:
[[28, 20, -38, -26, -4],
 [-12, -9, 12, 9, 6],
 [-8, 2, 7, 1, 8],
 [-19, 1, 50, 23, -17],
 [0, -33, -6, 15, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -2, -5, -5, -1],
 [-10, 20, 36, 34, -6],
 [1, -2, 9, 11, 15],
 [9, -18, -24, -21, 15],
 [13, -26, -23, -17, 35]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, -24, 24, 8, 24],
 [25, -30, 30, 10, 30],
 [30, -36, 36, 12, 36],
 [-30, 36, -36, -12, -36],
 [5, -6, 6, 2, 6]]

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


[User]
Find the rank of the matrix:
[[10, 21, 6, -15, 7],
 [30, -26, -26, 6, -16],
 [36, -46, 40, 40, 0],
 [38, -90, 38, 64, -10],
 [28, 14, 47, 3, 17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, 18, -6, -15, -9],
 [33, -5, 24, -8, -24],
 [-35, 22, -42, -11, 25],
 [-24, 60, -72, -66, 12],
 [-47, -1, -24, 11, 28]]

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


[User]
Find the rank of the matrix:
[[18, 42, 12, -42, 60],
 [-17, 7, -9, -14, 18],
 [7, 23, 5, -24, 34],
 [-12, -8, -7, 5, -8],
 [-18, -22, -11, 19, -28]]

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


[User]
Determine the rank of the following matrix:
[[-15, 27, -40, 15, 11],
 [-5, -15, 20, 5, -15],
 [15, -27, 40, -15, -11],
 [4, -24, 34, -4, -16],
 [4, -24, 34, -4, -16]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, 13, -9, -1, -1],
 [22, 13, 10, 17, 17],
 [20, 18, -11, 0, 0],
 [-30, -17, -16, -25, -25],
 [-42, -31, 1, -17, -17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -27, -36, -14, -25],
 [-10, 10, 6, -10, 19],
 [-11, -2, -16, 11, 0],
 [-36, 8, -28, 16, 22],
 [-5, 15, 12, 20, 13]]

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


[User]
What is the rank of the matrix:
[[-31, -28, -29, -54, -27],
 [45, 72, 1, -26, -39],
 [-47, -66, -15, 1, 6],
 [-1, -16, -4, -13, -36],
 [59, 46, 41, 23, 18]]?

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


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

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


[User]
What is the rank of the matrix:
[[2, 3, 4, 1, -13],
 [10, 7, 12, 5, -45],
 [4, -12, -10, 2, 19],
 [-6, -5, -8, -3, 29],
 [-12, -2, -8, -6, 38]]?

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


[User]
Determine the rank of the following matrix:
[[1, -48, 64, -1, -20],
 [55, -16, 79, -6, 31],
 [-14, -33, 28, 48, -2],
 [-4, 48, -37, -45, 11],
 [25, -3, 51, -22, 17]]

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


[User]
Find the rank of the matrix:
[[-31, 10, -7, -31, 37],
 [-4, 8, -9, -8, 59],
 [57, -40, -40, 48, 17],
 [-30, 13, 46, -14, -80],
 [15, -11, -56, -6, 31]]

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


[User]
Calculate the rank of matrix A where A =
[[13, -23, -14, -2, 8],
 [20, -11, -7, -9, 0],
 [38, 5, -40, 10, -11],
 [29, -24, -34, 4, 5],
 [-46, 3, 8, 22, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -48, 9, 45, 14],
 [-22, 19, -4, -12, 34],
 [24, -29, -2, 22, -4],
 [-22, 19, -4, -12, 34],
 [-40, 55, 4, -44, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[45, 17, -44, 40, 19],
 [-2, 27, 3, 1, -17],
 [29, 7, -26, 34, 13],
 [-9, 13, 4, -25, -10],
 [-31, 12, 33, -19, -28]]

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


[User]
Determine the rank of the following matrix:
[[0, 40, 5, 50, -25],
 [3, -35, 1, -46, 23],
 [0, -48, -6, -60, 30],
 [24, 0, 43, -18, 9],
 [9, 15, 18, 12, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, -6, -3, 18, 27],
 [5, 43, 18, -9, 14],
 [-11, 8, 2, 23, 19],
 [-9, 25, 7, -10, 12],
 [-8, -51, -23, -7, -17]]

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


[User]
Determine the rank of the following matrix:
[[-31, 38, 31, -12, 20],
 [-26, 19, 20, 0, 10],
 [15, -33, -21, 24, -24],
 [23, 7, -7, -22, 7],
 [8, -2, 2, 50, -53]]

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


[User]
Determine the rank of the following matrix:
[[3, -17, -24, 26, -2],
 [-24, 27, -33, -57, -36],
 [6, 32, -48, -32, -46],
 [26, -9, 17, 37, 16],
 [39, -9, 3, 51, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -31, 0, -31, 28],
 [-15, 21, 33, 21, -3],
 [7, -8, -17, -8, -1],
 [6, -21, -2, -21, 18],
 [18, -45, -22, -45, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 44, -33, 9, -60],
 [7, -36, 29, 38, 23],
 [52, -27, 1, -21, 47],
 [-20, -39, 38, -13, 29],
 [53, 23, -38, -15, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, -22, 21, -58, -22],
 [-16, 10, -28, -8, -32],
 [29, 41, -8, 54, 24],
 [-25, -45, 14, -26, 4],
 [4, 4, 5, -42, -30]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 25, -30, 11, 26],
 [11, -44, 32, -11, -39],
 [12, -45, 10, -24, -13],
 [-32, -14, -52, 5, -33],
 [8, 30, -32, 34, 50]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -2, 5, -1, -12],
 [40, -16, 25, -27, 18],
 [21, -26, -10, -1, 27],
 [2, -36, -15, 55, -4],
 [7, -18, 12, 23, -19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -8, 18, 9, -12],
 [-33, 22, -18, 27, -30],
 [-17, 16, -22, 5, -4],
 [-25, 19, -20, 16, -17],
 [-22, 11, -2, 25, -29]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, 60, -30, -22, -12],
 [1, 62, -60, -61, -16],
 [-22, -20, 32, 0, 20],
 [-39, -6, -8, -29, 6],
 [17, -16, 35, 12, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, 4, -24, 20, -16],
 [-12, 2, -12, 10, -8],
 [12, -2, 12, -10, 8],
 [-18, 3, -18, 15, -12],
 [36, -6, 36, -30, 24]]

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


[User]
Find the rank of the matrix:
[[-21, -51, 19, -11, 48],
 [31, 92, 2, 26, -74],
 [-26, -30, -2, -4, 38],
 [10, -17, -14, -18, -6],
 [27, 19, 10, 26, -20]]

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


[User]
Determine the rank of the following matrix:
[[-3, -31, 22, -31, -8],
 [14, 6, 36, 6, 16],
 [-16, -18, -30, -18, -20],
 [4, 11, 1, 11, 6],
 [8, 35, -11, 35, 14]]

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


[User]
Determine the rank of the following matrix:
[[-36, 37, -10, -22, -5],
 [-6, 32, -12, -14, -6],
 [-12, 34, -12, -16, -6],
 [36, 18, -12, 0, -6],
 [30, -40, 12, 22, 6]]

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


[User]
Find the rank of the matrix:
[[53, 33, -71, -8, 20],
 [-3, 37, 22, 50, -50],
 [21, 72, 6, 78, -75],
 [-19, 36, -14, 20, 3],
 [-18, -30, 33, -9, -3]]

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


[User]
Find the rank of the matrix:
[[-36, 16, 6, 4, -80],
 [28, 2, -11, -7, 55],
 [-11, 28, -6, -11, -49],
 [-18, -8, 4, 22, 2],
 [-24, -28, 16, 26, -6]]

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


[User]
What is the rank of the matrix:
[[9, 6, 24, 18, -15],
 [26, 5, 21, 6, 14],
 [14, 25, 13, 0, 24],
 [-21, -31, -27, -9, -20],
 [-26, -5, -21, -6, -14]]?

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


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

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


[User]
Find the rank of the matrix:
[[13, 3, -8, 1, -4],
 [11, -22, 7, -17, -12],
 [-24, 33, 27, 36, 48],
 [19, -2, 27, 7, 20],
 [25, 12, -17, 7, -4]]

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


[User]
What is the rank of the matrix:
[[-30, -24, 42, 4, -40],
 [-6, 6, -11, 6, -1],
 [-17, 8, 23, -19, -15],
 [-21, -6, 16, 3, -22],
 [7, 38, -12, -32, 21]]?

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


[User]
Find the rank of the matrix:
[[-38, 10, 24, -26, 24],
 [-38, -14, 6, -53, 41],
 [-15, 31, 10, 12, -4],
 [16, 45, 8, 40, -22],
 [8, 37, 26, -5, 19]]

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


[User]
Find the rank of the matrix:
[[2, 32, 30, 26, 8],
 [11, 53, -6, 20, 20],
 [13, 44, -33, 5, 20],
 [12, 44, -16, 28, 4],
 [8, 4, -28, 30, -30]]

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


[User]
What is the rank of the matrix:
[[38, -32, 0, -15, 37],
 [22, -34, -22, 0, 30],
 [25, -25, 4, 34, 40],
 [-17, 17, 2, -39, -31],
 [-9, -33, -50, 16, 12]]?

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


[User]
What is the rank of the matrix:
[[-12, 0, 12, 0, 2],
 [-18, 0, 18, 0, 3],
 [36, 0, -36, 0, -6],
 [6, 0, -6, 0, -1],
 [12, 0, -12, 0, -2]]?

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


[User]
Calculate the rank of matrix A where A =
[[-21, -16, 4, 5, -27],
 [-32, -2, 18, 10, -4],
 [-8, -8, 0, 2, -11],
 [-3, -22, -14, 1, -17],
 [-3, 6, 6, 1, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, 19, -22, -23, -35],
 [31, -49, 10, 7, 35],
 [37, -52, 6, 2, 58],
 [-4, 19, -36, -39, -19],
 [12, 0, -46, -52, -4]]

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


[User]
Determine the rank of the following matrix:
[[-32, 30, 24, -48, -36],
 [-24, 22, 20, -36, -24],
 [-4, 2, 10, -6, 6],
 [-12, 9, 18, -18, 0],
 [4, 2, -26, 6, -30]]

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


[User]
Find the rank of the matrix:
[[12, 10, -6, 2, 2],
 [-12, -10, 6, -2, -2],
 [36, 30, -18, 6, 6],
 [-6, -5, 3, -1, -1],
 [-18, -15, 9, -3, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -33, 27, 5, -25],
 [-6, -43, 0, 28, 33],
 [-15, -34, -15, 40, 51],
 [31, 34, 12, -13, -15],
 [10, -4, 36, 18, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -24, -6, 18, 24],
 [-25, 49, 12, -14, -22],
 [75, -19, -7, 25, -28],
 [-11, -29, -7, 21, 24],
 [14, -18, -10, 10, 16]]

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


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

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


[User]
What is the rank of the matrix:
[[4, -12, 12, 16, 24],
 [-3, 9, -9, -12, -18],
 [-1, 3, -3, -4, -6],
 [5, -15, 15, 20, 30],
 [3, -9, 9, 12, 18]]?

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


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

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


[User]
Find the rank of the matrix:
[[8, 18, -44, 24, 0],
 [-8, 5, 2, -4, -10],
 [-9, 16, -41, 24, -16],
 [14, 30, -54, 16, 2],
 [-25, -25, 18, -14, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[25, -15, -30, -10, -30],
 [-25, 15, 30, 10, 30],
 [0, 0, 0, 0, 0],
 [-20, 12, 24, 8, 24],
 [15, -9, -18, -6, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 20, 28, -12, 32],
 [-24, 25, 26, -6, 31],
 [-36, 30, 24, 0, 30],
 [-40, 30, 20, 4, 26],
 [-36, 30, 24, 0, 30]]

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


[User]
Calculate the rank of matrix A where A =
[[33, -12, 8, -13, -14],
 [8, 10, -12, -30, 34],
 [-30, -8, 22, 19, 8],
 [-29, -10, 32, -7, 48],
 [11, -17, 18, 18, -35]]

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


[User]
Find the rank of the matrix:
[[-36, 34, 56, 22, 57],
 [4, 54, 0, 18, 26],
 [-4, -26, 40, 26, 21],
 [-40, -78, 32, -34, -24],
 [0, 18, 2, 7, 14]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -18, 15, 3, -6],
 [48, -42, 27, -9, 0],
 [26, -14, 5, -11, 7],
 [22, -18, 11, -5, 1],
 [22, -28, 22, 2, -7]]

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


[User]
What is the rank of the matrix:
[[-9, -10, -19, 5, -24],
 [1, -4, 1, 5, -1],
 [-20, 5, -34, 23, -5],
 [-3, 19, -1, -14, 14],
 [-5, 4, -9, -17, -13]]?

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


[User]
Find the rank of the matrix:
[[0, 4, -9, 28, -25],
 [-4, 22, -30, 30, -28],
 [24, -23, 18, -9, -23],
 [14, -28, 33, -34, 17],
 [-20, 30, -33, 38, -11]]

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


[User]
Determine the rank of the following matrix:
[[14, 1, 0, 2, 32],
 [-16, -35, -12, -30, -62],
 [-20, -35, -20, -30, -50],
 [-4, -18, -8, -15, -18],
 [-4, -19, -4, -16, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 39, 9, 3, -9],
 [16, 0, -20, 11, -41],
 [-26, 48, 18, -9, 1],
 [21, -26, -21, 22, -21],
 [16, -11, -11, -18, -20]]

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


[User]
Find the rank of the matrix:
[[13, 33, 25, 28, -48],
 [0, -30, -25, -25, 30],
 [-22, -27, -25, -22, 12],
 [-35, -14, -15, -11, -6],
 [1, 4, 5, 3, 6]]

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


[User]
What is the rank of the matrix:
[[26, 3, 24, 2, 16],
 [-18, -51, -8, -4, -6],
 [-32, -33, -12, 1, 17],
 [11, -45, 10, -5, -11],
 [-34, -24, -4, 6, 46]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 14, 14, -32, -3],
 [8, -26, -28, 43, 9],
 [43, -58, 10, 2, -18],
 [-16, 0, -20, 38, 9],
 [-50, 72, -4, -14, 18]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-22, 12, -36, -8, -1],
 [-14, -12, 12, -16, 19],
 [-28, -6, -8, -22, 20],
 [0, 9, -16, 5, -9],
 [34, 15, -4, 31, -32]]?

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


[User]
Determine the rank of the following matrix:
[[33, 4, -10, -25, 12],
 [-16, -33, -23, -16, -32],
 [-40, -27, -5, 0, -32],
 [-15, 43, 53, 21, 36],
 [-12, -27, -15, -30, -24]]

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


[User]
Determine the rank of the following matrix:
[[10, -17, -9, 16, 13],
 [-3, 10, -14, -19, -21],
 [-29, 29, -13, -33, -12],
 [-39, 25, -14, -25, -3],
 [-24, -20, -14, 32, 54]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -12, 0, -9, -9],
 [3, 4, 0, 3, 3],
 [-12, -16, 0, -12, -12],
 [-15, -20, 0, -15, -15],
 [15, 20, 0, 15, 15]]

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


[User]
What is the rank of the matrix:
[[-3, 5, -1, 1, -4],
 [6, -10, 2, -2, 8],
 [-12, 20, -4, 4, -16],
 [6, -10, 2, -2, 8],
 [15, -25, 5, -5, 20]]?

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


[User]
Determine the rank of the following matrix:
[[42, 10, 12, -6, -16],
 [-33, -26, -24, 6, 2],
 [-26, -9, -10, 7, 14],
 [-44, -2, -6, 8, 26],
 [-30, 4, -1, 17, 43]]

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


[User]
Determine the rank of the following matrix:
[[-8, 38, -10, 2, 8],
 [23, -17, -13, -72, 17],
 [20, 9, 37, -80, 7],
 [-53, 46, 12, 62, -24],
 [30, -6, -43, 10, 26]]

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


[User]
Determine the rank of the following matrix:
[[16, -4, -2, 9, 4],
 [10, -2, -2, 12, 4],
 [-11, 3, 1, -3, -2],
 [8, 0, -4, 30, 8],
 [-11, 3, 1, -3, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 15, 18, 18, -6],
 [-37, 15, -13, -38, 26],
 [10, -12, -2, 8, -8],
 [-19, 13, -3, -18, 14],
 [16, -29, -10, 10, -14]]

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


[User]
Find the rank of the matrix:
[[-10, -7, -16, 0, 16],
 [-40, 24, -10, 4, 42],
 [-38, 25, -5, 2, 37],
 [-4, -2, 26, -28, -22],
 [2, 1, 5, -2, -5]]

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


[User]
What is the rank of the matrix:
[[2, -3, 13, 41, -51],
 [12, -8, 7, 9, -13],
 [18, 39, -33, 7, -21],
 [-53, 42, -24, 9, 7],
 [14, 6, -13, -20, 31]]?

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


[User]
What is the rank of the matrix:
[[13, 56, -15, -55, -17],
 [7, 52, -17, -50, -19],
 [29, -18, 11, -9, 0],
 [-12, -40, 12, 44, 16],
 [-31, -30, 3, 48, 12]]?

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


[User]
Determine the rank of the following matrix:
[[18, 30, 30, -14, -31],
 [-10, -50, -30, -10, 35],
 [-16, -20, -24, 16, 24],
 [-10, 25, 0, 30, -5],
 [22, 5, 24, -34, -21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 8, 20, -24, 24],
 [-18, 12, 30, -36, 36],
 [12, -8, -20, 24, -24],
 [18, -12, -30, 36, -36],
 [-3, 2, 5, -6, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, 6, -80, -26, -12],
 [-52, 32, 46, 42, -14],
 [20, -12, 2, -36, -16],
 [62, -18, -14, -39, 28],
 [22, 29, 3, -48, -21]]

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 12, -8, -8, 4],
 [0, 0, 0, 0, 0],
 [5, 30, -20, -20, 10],
 [-6, -36, 24, 24, -12],
 [-3, -18, 12, 12, -6]]

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


[User]
What is the rank of the matrix:
[[-7, 19, -33, 13, -4],
 [7, 17, -73, 18, -5],
 [23, -5, -15, -10, -7],
 [-2, -43, 21, -28, -26],
 [-1, -14, -30, 19, 20]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 15, 0, 15, 20],
 [-8, -6, 0, -6, -8],
 [12, 9, 0, 9, 12],
 [-16, -12, 0, -12, -16],
 [-20, -15, 0, -15, -20]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-41, -38, 32, 36, 40],
 [-21, -35, 1, -15, -9],
 [14, 35, 14, 32, 40],
 [-44, -78, -48, 4, -52],
 [27, 24, -27, -21, -39]]

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


[User]
Find the rank of the matrix:
[[20, 0, 24, 0, -4],
 [30, 0, 36, 0, -6],
 [-25, 0, -30, 0, 5],
 [0, 0, 0, 0, 0],
 [-5, 0, -6, 0, 1]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -7, -11, 19, 0],
 [-10, 0, 17, -16, 14],
 [-16, 9, 2, -13, -10],
 [24, -16, 4, 16, 24],
 [-42, 18, 21, -42, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[11, 4, -10, -11, -4],
 [-16, -14, 12, 21, 5],
 [-1, 16, 6, -9, 2],
 [35, -5, -20, -30, -15],
 [-22, -2, 8, 23, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -10, -15, -40, -10],
 [-22, -44, -16, -14, -2],
 [23, 2, 12, 20, 10],
 [-21, -14, -4, 10, 0],
 [36, 32, 13, -1, 3]]

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


[User]
Find the rank of the matrix:
[[7, 18, 8, 21, 7],
 [-29, 15, -25, -11, -29],
 [-21, 45, -15, 21, -21],
 [18, 18, 18, 30, 18],
 [12, 12, 12, 20, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[10, 27, 15, 8, 0],
 [59, 47, -30, -32, -22],
 [23, 50, 17, 7, -5],
 [-11, -7, 16, -1, -27],
 [12, -14, -28, -33, -39]]

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


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

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


[User]
What is the rank of the matrix:
[[12, 2, 12, 8, -6],
 [0, 0, 0, 0, 0],
 [36, 6, 36, 24, -18],
 [30, 5, 30, 20, -15],
 [-30, -5, -30, -20, 15]]?

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


[User]
Calculate the rank of matrix A where A =
[[-16, 12, -24, -16, 4],
 [-20, 20, -33, -25, 10],
 [-16, -3, -15, -1, -11],
 [24, 22, 12, -16, 34],
 [0, -25, 15, 25, -25]]

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


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

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


[User]
Find the rank of the matrix:
[[-7, 6, -2, -13, 19],
 [-30, 9, -23, -15, 0],
 [-8, -60, 44, 49, -28],
 [-8, -2, -19, -3, 3],
 [-58, -12, 6, 6, -36]]

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


[User]
What is the rank of the matrix:
[[3, -18, -9, 6, -15],
 [-2, 12, 6, -4, 10],
 [5, -30, -15, 10, -25],
 [3, -18, -9, 6, -15],
 [-2, 12, 6, -4, 10]]?

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


[User]
What is the rank of the matrix:
[[36, 45, -3, 12, 12],
 [24, 21, 22, -25, 20],
 [4, 3, 5, -6, 4],
 [-24, -18, -30, 36, -24],
 [0, 15, -40, 55, -20]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[43, -14, 45, 1, 47],
 [29, -2, 45, -4, 41],
 [15, -1, 27, 9, 31],
 [-6, 21, 24, -34, -2],
 [22, 16, 66, -22, 46]]

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


[User]
Find the rank of the matrix:
[[-16, -4, -30, -29, 47],
 [-20, 6, -22, -39, 9],
 [3, 5, -1, 9, 22],
 [19, -1, 19, 39, 4],
 [-6, 33, 6, -8, -14]]

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


[User]
Find the rank of the matrix:
[[-12, -11, 15, 12, 53],
 [10, 9, 21, 11, 35],
 [11, 4, -6, -14, 6],
 [48, 25, -21, -48, -7],
 [-19, -12, 0, 11, -4]]

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


[User]
Find the rank of the matrix:
[[15, 3, 6, 9, -12],
 [0, 0, 0, 0, 0],
 [10, 2, 4, 6, -8],
 [5, 1, 2, 3, -4],
 [-15, -3, -6, -9, 12]]

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


[User]
Find the rank of the matrix:
[[21, 37, -30, 48, 35],
 [3, 31, -30, 39, 20],
 [18, 18, -12, 24, 22],
 [18, -6, 12, -6, 8],
 [21, -23, 30, -27, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, -19, -8, -5, -20],
 [5, -40, -18, -3, -45],
 [5, 14, 6, 3, 15],
 [20, 29, 12, 9, 30],
 [-15, 30, 14, -1, 35]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 21, 40, -5, -32],
 [-1, -3, -6, -1, 4],
 [-24, 18, 31, -24, -34],
 [-22, 6, 8, -22, -16],
 [5, 15, 30, 5, -20]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[17, 52, 21, 13, -12],
 [6, 54, -5, -8, -6],
 [17, 75, 27, 43, -1],
 [-31, -30, -27, 46, 26],
 [20, 22, 20, -21, -18]]

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


[User]
Determine the rank of the following matrix:
[[14, 2, 15, -32, -8],
 [24, 27, -30, -12, -18],
 [22, 33, -37, -18, -32],
 [-19, -28, 41, -14, 53],
 [11, 24, -41, 18, -25]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-21, -14, -22, -9, 20],
 [9, -30, 3, -27, -15],
 [20, -20, 15, -16, -9],
 [-26, 12, -22, 8, 6],
 [28, 0, 26, 2, -6]]

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


[User]
Find the rank of the matrix:
[[-8, -3, -3, 0, -1],
 [11, 3, 3, 6, 5],
 [-38, -12, -12, -12, -12],
 [-39, -18, -18, 18, 6],
 [-10, 3, 3, -36, -23]]

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


[User]
Determine the rank of the following matrix:
[[0, -30, 6, 6, -30],
 [32, 20, 28, -36, 4],
 [8, 30, 2, -14, 26],
 [2, 15, -1, -5, 14],
 [-16, 10, -18, 14, 18]]

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


[User]
What is the rank of the matrix:
[[-24, -6, -18, 6, 6],
 [-12, 2, 26, -22, 28],
 [-18, -3, -3, -3, 12],
 [-18, -5, -17, 7, 2],
 [26, 5, 9, 1, -14]]?

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


[User]
What is the rank of the matrix:
[[-4, -4, 13, -3, 10],
 [11, 13, -11, -5, -23],
 [7, 9, -5, -3, -11],
 [-4, -6, -10, 9, 5],
 [11, 13, -18, 0, -21]]?

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


[User]
Calculate the rank of matrix A where A =
[[-10, 10, 20, 8, 38],
 [-20, -23, 20, -10, 7],
 [0, 15, -15, -51, -36],
 [9, 7, -25, -37, -48],
 [-7, 11, 10, -8, 17]]

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


[User]
Determine the rank of the following matrix:
[[2, 2, -14, 4, 25],
 [-26, -24, 9, 2, -43],
 [-3, -12, 26, -28, 11],
 [-1, -8, 35, -34, 4],
 [-7, 4, -17, 18, -15]]

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


[User]
Find the rank of the matrix:
[[30, 25, 25, -10, -15],
 [36, 30, -25, 23, -3],
 [-12, -10, 56, -38, -12],
 [24, 20, -2, 6, -6],
 [54, 45, -10, 17, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[27, 54, 51, 22, -27],
 [38, -28, -36, 3, 4],
 [53, -24, 30, -87, 71],
 [-27, -36, -18, -28, 31],
 [-10, -12, -12, -37, 20]]

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


[User]
Find the rank of the matrix:
[[-11, 34, 49, -29, -44],
 [12, -28, -44, 28, 40],
 [2, -38, -42, 18, 36],
 [7, -8, -17, 13, 16],
 [-29, -24, 11, -31, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[15, -3, -15, -15, 9],
 [5, -1, -5, -5, 3],
 [5, -1, -5, -5, 3],
 [5, -1, -5, -5, 3],
 [25, -5, -25, -25, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -6, -32, 28, 0],
 [4, -6, -20, 16, 4],
 [6, 0, -18, 18, -6],
 [1, 15, 17, -7, -21],
 [-6, 6, 26, -22, -2]]

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


[User]
Determine the rank of the following matrix:
[[29, 30, -34, 31, -30],
 [20, 15, -31, 13, -15],
 [37, -10, -28, -16, -9],
 [8, -45, -9, -56, 28],
 [6, -30, 16, -33, 13]]

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


[User]
What is the rank of the matrix:
[[-8, 31, -6, 21, 58],
 [26, -3, 42, -23, 32],
 [20, -13, -30, 31, 28],
 [4, -10, 14, -15, -27],
 [46, -27, 20, -7, 32]]?

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


[User]
What is the rank of the matrix:
[[-34, -22, -19, -13, 6],
 [58, 14, 32, 0, -24],
 [51, 20, 13, -7, 0],
 [13, 27, 21, 35, -6],
 [40, 28, 6, 2, 12]]?

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


[User]
What is the rank of the matrix:
[[-1, 21, -20, -40, 20],
 [36, -36, -30, 30, 30],
 [-23, -9, -7, 5, 2],
 [6, 31, -28, -45, 58],
 [36, -48, -17, 43, -8]]?

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