[User]
Determine the rank of the following matrix:
[[32, 13, -29, 38, 21],
 [-11, -28, 18, -14, -17],
 [-74, 30, 52, -82, 2],
 [-3, -27, 14, -3, -1],
 [-27, -39, 39, -30, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[16, -16, 32, -32, 11],
 [-12, 12, -24, 24, -8],
 [3, -3, 6, -6, 3],
 [7, -7, 14, -14, 4],
 [14, -14, 28, -28, 10]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -4, -58, -58, 9],
 [-36, -27, -18, -6, -18],
 [-64, 32, 36, -12, -82],
 [-50, 11, 22, -3, -56],
 [-40, 6, 40, 24, -46]]

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


[User]
What is the rank of the matrix:
[[-1, 6, 6, -1, -2],
 [-14, 6, 12, 16, -16],
 [13, 0, -6, -17, 14],
 [-7, -10, -6, 13, -6],
 [-37, 40, 54, 33, -46]]?

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[User]
Calculate the rank of matrix A where A =
[[0, -2, 10, 6, 18],
 [6, 6, 18, 22, 10],
 [-48, -10, -19, 4, -2],
 [-17, -1, -16, -3, -19],
 [23, 11, 14, 13, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 10, 36, 28, -4],
 [0, 0, 0, 0, 0],
 [-36, 18, 36, 36, -36],
 [32, -14, -24, -26, 32],
 [-10, 4, 6, 7, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 12, 8, -32, 12],
 [14, -32, -12, -3, -2],
 [9, -51, -18, -60, -21],
 [4, -25, 11, -34, -20],
 [-6, 16, -6, -20, 16]]

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


[User]
Determine the rank of the following matrix:
[[-1, 12, 24, 26, -9],
 [-5, 12, -24, 34, -21],
 [4, -12, 12, -32, 18],
 [-5, 4, -48, 18, -17],
 [-3, 2, -30, 10, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -1, 12, 12, 7],
 [-24, -11, 42, -24, -28],
 [-22, -40, 29, -37, 3],
 [13, 9, -14, 13, 7],
 [26, -1, 19, -39, -50]]

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


[User]
Determine the rank of the following matrix:
[[14, 7, 12, -2, -30],
 [16, 35, -24, 38, -24],
 [12, 51, -28, 22, -48],
 [24, 4, 14, 16, -26],
 [3, -37, 27, -6, 26]]

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


[User]
Find the rank of the matrix:
[[-6, 8, 10, 12, -8],
 [-25, 30, 5, 20, -20],
 [-16, 20, 12, 20, -16],
 [26, -32, -14, -28, 24],
 [18, -24, -30, -36, 24]]

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[User]
Calculate the rank of matrix A where A =
[[-30, 17, 30, -13, 16],
 [-30, 32, -21, 41, -14],
 [-4, -4, -9, -42, -13],
 [4, -3, 39, 20, 32],
 [8, -3, 12, 22, 13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -2, -1, 0, 6],
 [2, 4, 2, 0, -12],
 [6, 12, 6, 0, -36],
 [1, 2, 1, 0, -6],
 [5, 10, 5, 0, -30]]

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[User]
Calculate the rank of matrix A where A =
[[8, -4, 13, -4, -7],
 [-14, 12, -40, 5, 20],
 [-37, -29, 23, 20, 15],
 [2, -1, 12, 21, -13],
 [12, 14, 30, -8, -32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, -10, 10, -40, -5],
 [-29, 8, 20, 18, 39],
 [24, -12, -4, -40, -26],
 [36, -12, -20, -32, -46],
 [-9, 6, -2, 22, 8]]

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[User]
Calculate the rank of matrix A where A =
[[-11, -13, -9, 11, -14],
 [6, -17, -22, -8, -12],
 [37, -29, -53, -41, -14],
 [-20, 30, 41, 27, 16],
 [22, 1, -5, -29, 12]]

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


[User]
Find the rank of the matrix:
[[16, 40, 16, 36, 16],
 [0, 2, -8, -9, 12],
 [-2, -8, 10, 9, -20],
 [-19, -23, -25, -44, 10],
 [16, 22, -4, 8, 26]]

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


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

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


[User]
What is the rank of the matrix:
[[26, 61, -25, 8, -40],
 [-24, 12, -39, 6, -36],
 [-13, -36, 36, 6, 16],
 [15, 59, -25, 15, -61],
 [-25, -29, 14, 8, -4]]?

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[User]
Find the rank of the matrix:
[[0, -17, 10, -3, 18],
 [27, 1, -54, 13, -8],
 [21, 26, -12, 26, -16],
 [-31, 16, 28, -18, -18],
 [18, -9, -38, 5, 2]]

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


[User]
Find the rank of the matrix:
[[4, 7, 0, 12, -8],
 [22, 44, -14, 34, -12],
 [-15, -2, 27, -5, 8],
 [36, 13, -88, -20, -6],
 [9, 9, -15, 0, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, 6, -9, -12, 8],
 [-20, -8, 14, -12, -34],
 [4, 34, 44, 30, 8],
 [10, -3, 6, 27, 10],
 [10, -17, -16, 13, 10]]

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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -12, 34, 8, -2],
 [-14, 24, -4, 22, -28],
 [-2, 23, -11, -12, 12],
 [41, 33, -16, 12, 25],
 [-1, 17, -29, 16, -20]]

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


[User]
Determine the rank of the following matrix:
[[-40, 30, 35, -25, 10],
 [16, -26, -15, 1, -18],
 [36, -6, -30, 36, 12],
 [-6, 29, 7, 12, 26],
 [-26, 23, 23, -14, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-23, -14, 10, -31, -26],
 [17, 11, -25, 34, 29],
 [22, 12, 28, 6, 4],
 [10, 7, -29, 29, 25],
 [0, 1, -27, 17, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -4, -1, -2, 0],
 [6, -4, 4, -7, 10],
 [-19, 16, -11, 23, -30],
 [1, 4, 3, 0, 4],
 [5, -8, 1, -7, 6]]

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


[User]
What is the rank of the matrix:
[[-15, 16, 14, -13, 3],
 [31, -11, -30, -10, 18],
 [-25, -7, 2, 20, -24],
 [-16, 14, 32, 2, -6],
 [8, -10, -8, 9, -3]]?

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


[User]
Determine the rank of the following matrix:
[[-42, -39, -2, -7, -38],
 [-24, -30, -8, -10, -20],
 [15, 30, 15, 15, 10],
 [3, 15, 11, 10, 0],
 [24, 3, -16, -11, 26]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, 29, 23, -40, 8],
 [22, -4, -33, -16, -9],
 [15, -25, -8, 24, -53],
 [-1, -12, -11, 28, 28],
 [-24, 12, 29, 24, 71]]

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


[User]
What is the rank of the matrix:
[[41, -48, -52, 16, 51],
 [-7, 57, -16, -17, -30],
 [35, -25, 4, -55, 58],
 [-21, -12, 4, 44, -27],
 [23, 15, -4, -47, 30]]?

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


[User]
Find the rank of the matrix:
[[-1, 27, 2, 16, -6],
 [-4, 8, -18, 2, -6],
 [25, 5, 15, 19, 25],
 [-1, -23, -11, -15, 3],
 [42, 36, -12, 48, 36]]

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


[User]
What is the rank of the matrix:
[[5, 26, -44, 26, -37],
 [6, -7, 10, -28, 31],
 [15, -20, -22, -10, -3],
 [-4, -14, -4, 10, -20],
 [33, -30, 60, 52, 29]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -3, 10, -12, -21],
 [28, -39, 18, 18, 32],
 [-10, -84, 40, 66, 19],
 [-9, -19, 10, 19, 2],
 [37, 44, -40, -5, 7]]

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


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

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


[User]
Determine the rank of the following matrix:
[[32, -14, -24, 20, -10],
 [54, -24, -42, 34, -10],
 [-6, 3, 6, -4, -5],
 [31, -13, -21, 19, -20],
 [-33, 15, 27, -21, 0]]

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[User]
Calculate the rank of matrix A where A =
[[10, 5, 15, -60, -10],
 [32, 43, -30, 15, -47],
 [30, 4, -7, 13, -21],
 [4, 45, -28, 7, -31],
 [-16, -34, 6, 46, 32]]

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


[User]
What is the rank of the matrix:
[[-12, 25, 22, 16, 13],
 [6, 10, -20, 10, -2],
 [-15, 25, 30, 15, 15],
 [12, 0, -32, 4, -8],
 [-3, 15, 2, 11, 5]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -26, -53, -47, 17],
 [-23, -38, -17, -22, 30],
 [-11, 6, 71, 44, 12],
 [36, 30, 24, 8, -20],
 [5, -25, -51, -50, 17]]

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


[User]
Determine the rank of the following matrix:
[[8, 19, 19, 12, 18],
 [18, 12, -3, 17, -9],
 [-18, 19, 12, 5, 28],
 [0, -12, 9, -11, 34],
 [15, 17, -6, 21, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[13, -9, 11, -21, -12],
 [-7, 53, -29, 7, -36],
 [-5, 3, -19, 16, -16],
 [-38, 17, 8, 39, 1],
 [43, 19, -31, -43, 15]]

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[User]
Calculate the rank of matrix A where A =
[[23, 40, -13, -9, -31],
 [42, 15, 15, 13, 19],
 [15, 30, -9, -19, -49],
 [32, 55, -19, -5, -27],
 [-40, -15, -17, 5, 19]]

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


[User]
Find the rank of the matrix:
[[-17, -40, 10, -10, -21],
 [3, -29, -28, -10, -26],
 [-20, 13, 42, -9, 10],
 [-42, -7, 10, 0, 23],
 [-21, -31, -52, -1, -2]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, -3, 3, 3, -8],
 [-8, -21, -9, -14, -1],
 [-23, -3, -9, -11, 14],
 [41, 12, 18, 23, -23],
 [-36, 33, -3, 2, 33]]

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


[User]
Calculate the rank of matrix A where A =
[[7, 19, 42, -34, -36],
 [2, -24, -46, 14, 24],
 [-7, 22, -67, 37, 40],
 [2, -14, 31, 6, -16],
 [-4, 4, -56, -18, 34]]

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


[User]
Find the rank of the matrix:
[[-6, 9, -15, 0, 0],
 [-22, 48, 10, 60, -20],
 [-2, 6, 8, 12, -4],
 [-12, 30, 22, 48, -16],
 [-9, 15, -16, 6, -2]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -12, 34, 28, 16],
 [-24, 60, -42, -60, 24],
 [1, 4, -6, -6, -1],
 [-1, 22, -25, -28, 1],
 [-16, 40, -28, -40, 16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[39, -21, -54, 0, 15],
 [8, 5, -20, 24, 37],
 [38, 3, -22, 6, 13],
 [-1, 16, 3, 23, 29],
 [8, 13, 9, 7, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 13, -11, -7, 17],
 [-26, -11, -17, 17, 5],
 [12, 12, 3, -12, 6],
 [26, 1, 24, -11, -17],
 [-36, -6, -30, 18, 18]]

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


[User]
Determine the rank of the following matrix:
[[20, 0, 16, 20, 4],
 [20, 0, 16, 20, 4],
 [20, 0, 16, 20, 4],
 [30, 0, 24, 30, 6],
 [-5, 0, -4, -5, -1]]

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


[User]
What is the rank of the matrix:
[[-20, 1, -29, -4, 26],
 [-19, -39, -3, 7, 26],
 [-5, -39, 3, -28, 34],
 [-27, -33, -7, 25, 54],
 [7, -32, 6, -53, 32]]?

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


[User]
Determine the rank of the following matrix:
[[-18, 19, 19, -15, -3],
 [-24, 28, 15, 19, 20],
 [-26, 25, 27, -23, -3],
 [26, -28, -26, 16, 1],
 [4, 8, 15, -49, -46]]

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


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

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


[User]
Find the rank of the matrix:
[[3, 5, -2, -11, -28],
 [-33, -11, -19, -18, 10],
 [33, -33, 33, 28, 45],
 [48, 3, 33, 24, -3],
 [3, -39, -8, 55, 64]]

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


[User]
Find the rank of the matrix:
[[-40, -6, 8, 51, -33],
 [2, 11, -38, -33, -3],
 [53, -22, 34, -17, 48],
 [40, -1, 24, -4, 44],
 [-9, 19, 16, -11, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[-23, -34, 16, -19, -54],
 [1, 2, -2, -1, 6],
 [2, 2, 1, 5, -2],
 [13, 20, -11, 8, 36],
 [6, 6, 3, 15, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 5, 23, -35, -19],
 [4, 20, -4, -20, -4],
 [-11, -30, 26, 5, -9],
 [0, -20, -12, 40, 16],
 [-6, -10, 18, -10, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -15, -6, 51, -24],
 [-41, -31, 37, 34, -8],
 [-38, -26, 26, 32, 0],
 [-2, 15, -11, -30, 20],
 [34, 7, -23, 14, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -4, -25, 39, 29],
 [-18, 13, -20, 15, -17],
 [0, -21, -9, -28, -30],
 [-16, 18, 0, 6, -10],
 [0, -3, -6, 1, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-31, -18, -9, 23, -30],
 [27, 26, 13, -21, 30],
 [-13, 10, 5, 8, -6],
 [33, 14, 7, -24, 30],
 [-3, 22, 11, 0, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, -14, -5, 18, 12],
 [-2, -2, -12, 20, 40],
 [-8, -68, -6, 58, -20],
 [22, 2, -2, -2, 4],
 [23, -9, -10, 20, 24]]

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


[User]
What is the rank of the matrix:
[[46, -49, -44, 2, -61],
 [40, -63, -43, 3, -86],
 [-51, 23, 54, 14, 47],
 [-36, -25, -15, 37, -22],
 [-27, 55, 40, -1, 86]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, -6, -1, 6, -1],
 [25, 30, -5, 0, 15],
 [-5, -6, 1, 0, -3],
 [23, 18, -11, 24, 17],
 [14, 12, -6, 12, 10]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[28, -2, 36, 16, 36],
 [34, -15, 47, -6, 11],
 [-1, -2, 9, 2, 15],
 [18, -13, 34, -8, 10],
 [-10, 2, -26, -12, -38]]

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


[User]
Calculate the rank of matrix A where A =
[[-19, 30, -24, 7, -9],
 [54, -10, 8, 2, -10],
 [-1, -10, 8, -3, 5],
 [30, -30, 24, -6, 6],
 [-66, 0, 0, -6, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 28, 44, 13, -39],
 [-26, -21, 18, -33, -18],
 [4, 2, 2, 50, -46],
 [-23, -30, -9, -43, 25],
 [4, -32, -48, -12, 36]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -24, 4, 28, 0],
 [12, 20, -30, 14, 28],
 [-26, -12, 6, 16, 30],
 [6, 4, -18, 16, 2],
 [-24, -4, -2, 18, 46]]

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


[User]
Determine the rank of the following matrix:
[[-4, -8, -2, -3, -19],
 [-2, -31, 8, -6, -50],
 [-2, 11, -6, 1, 13],
 [-14, 5, -18, -5, -17],
 [0, 12, -4, 2, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 10, 6, -3, 20],
 [-4, -48, -1, 4, -18],
 [5, -42, 7, -8, 9],
 [-6, 6, -7, 3, -18],
 [4, -18, 2, -19, 6]]

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


[User]
Find the rank of the matrix:
[[23, -15, 13, -32, 17],
 [42, 1, 42, 59, 9],
 [-11, 12, 2, 45, -7],
 [-51, -12, -38, -51, 7],
 [-8, 14, -14, -2, -20]]

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


[User]
Find the rank of the matrix:
[[36, -14, -16, 5, -11],
 [26, -20, -14, 1, -24],
 [13, -30, 18, -3, 4],
 [-35, 15, 15, -1, 11],
 [56, -27, -5, 27, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 19, -40, 13, 33],
 [-7, -31, 10, -2, -6],
 [5, 5, 16, -8, -9],
 [-10, -30, 4, 8, -20],
 [7, 11, 14, -10, -2]]

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


[User]
Determine the rank of the following matrix:
[[-13, 16, 2, 0, -3],
 [20, -16, 0, -8, -12],
 [-2, 10, 3, -7, -15],
 [-10, 22, 5, -9, -21],
 [-10, -6, -5, 17, 33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[50, -20, -20, 15, 10],
 [10, -7, 3, 19, -19],
 [10, -7, 3, 19, -19],
 [0, 3, -7, -16, 21],
 [-4, 4, -4, -14, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, -23, 16, 38, -26],
 [32, 28, -16, -44, 28],
 [-44, -32, 24, 54, -38],
 [26, 0, -20, -13, 21],
 [0, 0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[-23, -1, -35, -10, 16],
 [-21, 3, -45, 0, 12],
 [21, -3, 45, 0, -12],
 [7, 5, -5, 14, -8],
 [-24, -12, 0, -36, 24]]

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


[User]
Determine the rank of the following matrix:
[[-5, 39, -44, -1, 7],
 [-40, -21, -4, -23, -2],
 [-65, -17, -24, -33, -8],
 [-25, -24, 14, -5, -29],
 [-25, -60, 34, -13, -2]]

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


[User]
What is the rank of the matrix:
[[-11, 25, -38, -1, -23],
 [-16, -40, 52, 11, 5],
 [-10, 56, -49, 23, 12],
 [29, 19, -10, -2, 26],
 [-19, 29, -38, 12, -48]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 5, -10, -7, -22],
 [34, 84, -2, -11, 6],
 [-20, -61, -32, -20, -12],
 [-34, -86, -6, 9, -22],
 [-12, 14, -43, -23, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -10, 13, 43, 10],
 [-7, -24, 21, 53, 4],
 [-28, 27, -14, -10, 16],
 [33, -28, 10, 4, -14],
 [-23, 37, -4, -30, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[20, 8, -4, 28, 2],
 [-18, -5, -3, 10, 7],
 [-34, -11, -1, -6, 7],
 [4, 2, -2, 12, 2],
 [-24, -8, 0, -8, 4]]

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


[User]
What is the rank of the matrix:
[[22, -13, 24, -7, -21],
 [22, -7, -27, 2, 43],
 [-20, 4, 3, -13, 6],
 [1, 4, 1, -1, -13],
 [-33, 8, 2, -3, 5]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -12, 4, -12, 4],
 [-4, 20, -12, -12, -4],
 [-17, 15, -1, 39, -7],
 [-21, 21, -3, 45, -9],
 [14, 0, -8, -48, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [2, -2, 10, 2, 0],
 [-1, 1, -5, -1, 0],
 [-5, 5, -25, -5, 0],
 [4, -4, 20, 4, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 4, -33, 26, 14],
 [-2, -13, 7, -7, -7],
 [-6, 22, 1, 20, 14],
 [0, -7, -3, 7, 1],
 [-3, 25, -3, 17, 14]]

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


[User]
Determine the rank of the following matrix:
[[-32, 59, -16, 10, -57],
 [20, -15, -15, 15, 25],
 [-16, 30, -11, 9, -28],
 [10, 29, -14, -8, -16],
 [8, -36, 4, 12, 32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -10, -33, 30, -3],
 [-5, 16, 35, -40, -7],
 [-49, -16, -26, -5, 61],
 [12, -12, -41, 43, -12],
 [-12, -1, -28, 5, -6]]

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


[User]
Find the rank of the matrix:
[[-36, 0, -6, -6, -12],
 [7, 10, 27, -13, -6],
 [25, -2, -1, 7, 10],
 [-12, 0, -2, -2, -4],
 [31, 10, 31, -9, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, 24, 44, 28, -22],
 [-24, 8, 18, -14, 50],
 [1, 37, -1, -20, 6],
 [-1, -68, 7, 39, -15],
 [1, 38, 16, 10, -39]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 0, -11, -1, -39],
 [26, 4, -32, -31, 3],
 [20, -4, -24, -11, -17],
 [-5, 0, 6, 5, -1],
 [15, -32, -13, 32, -20]]

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


[User]
What is the rank of the matrix:
[[43, 22, -72, 31, 38],
 [-5, 56, -13, 61, 45],
 [-30, 56, 24, 33, 27],
 [11, 23, 6, 46, 9],
 [-20, 7, -1, 5, 16]]?

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


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

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


[User]
Find the rank of the matrix:
[[-18, -5, 5, 3, -61],
 [-33, 25, -49, -37, -10],
 [-18, -53, 40, 11, -34],
 [-42, -45, 37, 1, -45],
 [8, -15, 18, 8, 22]]

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


[User]
Determine the rank of the following matrix:
[[19, 33, -34, -14, 15],
 [-10, -33, 26, 23, -16],
 [21, 18, -28, 3, 7],
 [-13, -24, 24, 11, -11],
 [-3, -18, 12, 15, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-19, -21, -26, 17, -12],
 [0, -7, -4, 4, 2],
 [-3, 8, -16, -1, 6],
 [3, -18, 15, 6, -6],
 [8, 21, 4, -12, 10]]

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


[User]
What is the rank of the matrix:
[[12, -6, 9, 12, -9],
 [-4, 2, -3, -4, 3],
 [8, -4, 6, 8, -6],
 [-4, 2, -3, -4, 3],
 [20, -10, 15, 20, -15]]?

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


[User]
Find the rank of the matrix:
[[-15, 10, 10, 4, 15],
 [-10, 30, 25, 8, -5],
 [-5, 8, 7, -4, 18],
 [-26, -6, -1, 8, 25],
 [10, 12, 8, -4, -8]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[28, -10, 26, 34, 7],
 [-8, -31, 19, 52, 17],
 [-8, -8, 18, 24, -1],
 [-4, -22, -2, 20, 20],
 [36, -32, 19, 45, 35]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, -17, 2, 14, -6],
 [-39, -55, 1, 26, -11],
 [18, 36, 43, -40, 47],
 [45, 66, 0, -33, 15],
 [27, 30, 42, -27, 39]]

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


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

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


[User]
Find the rank of the matrix:
[[12, -4, -52, -14, -38],
 [8, 4, -12, -2, -6],
 [-18, -9, 15, -6, 12],
 [28, 9, -23, 19, -31],
 [2, -14, -38, -3, -43]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-20, -4, -12, 20, 24],
 [-15, -3, -9, 15, 18],
 [-20, -4, -12, 20, 24],
 [-25, -5, -15, 25, 30],
 [-10, -2, -6, 10, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 29, -43, 34, 5],
 [13, -33, 29, -38, -11],
 [4, 30, -44, 42, 30],
 [-4, -1, 7, -2, -1],
 [24, 6, -42, 12, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -29, 31, 32, 28],
 [-6, -24, 24, 24, 45],
 [28, -12, 18, 16, -19],
 [-16, -6, -2, 3, 17],
 [21, 15, 18, -8, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 20, 12, -16, 5],
 [-9, -5, -24, -17, -17],
 [-11, -22, -17, 18, -10],
 [-25, -18, -48, -13, -50],
 [0, 1, 8, 8, 39]]

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


[User]
Determine the rank of the following matrix:
[[-11, 10, -12, 16, -16],
 [-28, 18, -16, 33, -27],
 [-8, 4, -1, 12, -15],
 [-1, 0, 3, 7, -16],
 [34, -8, -12, -38, 38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 30, 36, 30, -24],
 [-6, -10, -12, -10, 8],
 [15, 25, 30, 25, -20],
 [-9, -15, -18, -15, 12],
 [6, 10, 12, 10, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-17, 36, 6, -15, 18],
 [51, -16, 12, -19, 34],
 [3, -13, -30, -11, 14],
 [8, 24, 3, -24, 36],
 [5, -1, 30, 3, -14]]

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


[User]
Determine the rank of the following matrix:
[[-16, 0, -20, 4, -20],
 [4, 0, 5, -1, 5],
 [4, 40, 0, -36, 0],
 [-16, 8, -21, -3, -21],
 [10, -12, 14, 8, 14]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [24, -7, 28, 13, -24],
 [6, -18, -3, -3, 9],
 [20, -8, 22, 10, -18],
 [48, -14, 56, 26, -48]]

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


[User]
What is the rank of the matrix:
[[34, -22, 54, 38, -29],
 [-22, 8, 48, 32, -14],
 [-52, 30, 24, 12, 6],
 [-1, -37, 12, 30, -36],
 [5, 36, -30, -42, 42]]?

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


[User]
Calculate the rank of matrix A where A =
[[-40, -7, 21, -21, -6],
 [22, 14, -5, 52, -1],
 [-12, -36, -2, -48, 14],
 [-18, -38, 4, -20, 20],
 [-34, 32, 10, -30, 8]]

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


[User]
Determine the rank of the following matrix:
[[-47, -43, -28, -28, 28],
 [12, -43, -20, 26, 2],
 [21, 15, -48, 5, 16],
 [4, 44, 30, -11, 2],
 [29, -6, -30, 25, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -26, 27, 6, 23],
 [33, -57, 63, 30, 60],
 [-7, -41, 31, 38, 36],
 [-20, 8, -16, 4, -12],
 [11, 44, -32, -45, -39]]

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


[User]
What is the rank of the matrix:
[[27, 9, -7, -4, -6],
 [38, 11, -8, -5, -10],
 [-3, 24, -27, -9, 24],
 [15, 15, -15, -6, 6],
 [24, 33, -34, -13, 18]]?

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


[User]
Calculate the rank of matrix A where A =
[[-42, 11, 42, -37, 6],
 [21, -6, -21, 8, -11],
 [25, -11, -25, 35, 3],
 [-12, -1, 12, -1, 6],
 [10, -9, -10, 11, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[38, -14, -18, 18, 9],
 [30, 10, -5, 30, -10],
 [38, -14, -18, 18, 9],
 [-2, -6, -2, -6, 5],
 [-32, -16, 3, -36, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, -5, -20, 25, 15],
 [-25, -5, -20, 25, 15],
 [20, 4, 16, -20, -12],
 [30, 6, 24, -30, -18],
 [5, 1, 4, -5, -3]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-40, 9, -22, -29, -36],
 [33, 24, 36, 21, 24],
 [4, 22, 14, 0, -5],
 [6, -27, -14, 5, 0],
 [-18, 15, -2, -13, -12]]

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


[User]
What is the rank of the matrix:
[[39, 6, 26, -6, 23],
 [0, -9, -26, 3, 35],
 [56, -47, 6, 40, 63],
 [32, 8, -4, 33, 2],
 [20, 10, -22, 16, 25]]?

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


[User]
Determine the rank of the following matrix:
[[32, -14, 30, 4, -9],
 [-5, 20, 45, 10, 10],
 [-5, -4, -18, -3, -5],
 [-46, 34, -6, 2, 21],
 [28, -22, 3, -1, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-19, 29, 10, 32, -16],
 [-20, 28, 2, 28, -8],
 [-11, 13, -7, 10, 4],
 [-31, 41, -5, 38, -4],
 [6, 6, 48, 24, -48]]

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


[User]
What is the rank of the matrix:
[[15, 3, -12, 9, -3],
 [-20, -4, 16, -12, 4],
 [-20, -4, 16, -12, 4],
 [5, 1, -4, 3, -1],
 [-25, -5, 20, -15, 5]]?

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


[User]
Find the rank of the matrix:
[[0, -12, 36, -12, 12],
 [-15, 11, 27, -4, 19],
 [30, -18, -66, 12, -42],
 [-25, 29, 13, 4, 21],
 [20, -18, -26, 2, -22]]

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


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

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


[User]
Find the rank of the matrix:
[[-12, -46, -38, -17, 8],
 [24, 28, -24, -17, 37],
 [-12, -41, -37, -19, 7],
 [9, -20, -21, -2, 19],
 [-27, 13, 12, 0, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 9, 12, 12, -15],
 [36, 4, -13, 22, -5],
 [34, 11, 0, 28, -17],
 [-28, 8, 29, -6, -15],
 [6, -1, -5, 2, 2]]

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


[User]
Determine the rank of the following matrix:
[[36, 39, 18, -18, 18],
 [24, 21, 21, -6, -6],
 [20, 26, 5, -12, 0],
 [-8, -7, -7, 2, 2],
 [-13, -20, 1, 10, 1]]

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


[User]
What is the rank of the matrix:
[[-9, -18, -5, -33, -10],
 [3, 6, -2, 6, -1],
 [-20, -40, 28, -20, 24],
 [18, 36, -34, 6, -32],
 [-10, -20, 14, -10, 12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, 24, -20, -8, 16],
 [12, 18, -15, -6, 12],
 [-4, -6, 5, 2, -4],
 [-20, -30, 25, 10, -20],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[5, 27, -1, -7, -18],
 [-9, 10, 17, 1, -11],
 [-16, 17, -4, 56, 36],
 [-19, -11, 31, 3, -5],
 [-14, -23, 26, -6, -4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-23, -3, -38, -11, 34],
 [5, -15, 30, 25, -30],
 [-5, 15, -30, -25, 30],
 [-4, -24, 26, 32, -28],
 [-25, 3, -50, -21, 46]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 0, 0, 15, -6],
 [2, 3, 15, -32, -1],
 [-14, 5, 25, -10, -19],
 [-14, 3, 15, 8, -17],
 [12, -6, -30, 24, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 30, -6, 40, -18],
 [8, -5, 1, -28, -13],
 [18, -30, 6, -48, 12],
 [0, 0, 0, 0, 0],
 [-14, 20, -4, 40, -2]]

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


[User]
Determine the rank of the following matrix:
[[4, -32, -25, 3, 17],
 [-6, -25, -26, 20, 16],
 [-12, 62, 25, 5, -17],
 [10, -24, -24, -10, 18],
 [18, 25, 17, -41, -7]]

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


[User]
What is the rank of the matrix:
[[14, 8, -4, 10, -7],
 [10, 8, -12, -18, 19],
 [7, 3, 2, 16, -14],
 [-5, -3, 2, -2, 1],
 [14, 6, 4, 32, -28]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, -1, 2, 6, -4],
 [2, -2, 4, 12, -8],
 [-4, 4, -8, -24, 16],
 [3, -3, 6, 18, -12],
 [-1, 1, -2, -6, 4]]

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


[User]
What is the rank of the matrix:
[[31, 15, 78, 1, -18],
 [8, -26, 32, -8, 30],
 [23, 37, -8, 6, -20],
 [30, 1, 22, -5, 23],
 [-16, -11, -40, 10, 13]]?

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


[User]
Determine the rank of the following matrix:
[[2, -31, 1, 25, 4],
 [32, 3, 8, 11, 28],
 [6, 17, 2, -49, -5],
 [44, -45, 4, -21, 31],
 [-22, 14, -11, -26, -18]]

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


[User]
Determine the rank of the following matrix:
[[-29, -23, -34, 44, 1],
 [44, 28, 30, -14, -21],
 [9, 11, -13, 54, -38],
 [30, 2, 7, 12, -8],
 [19, 9, 20, -28, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 20, 40, -4, -15],
 [-12, -22, 24, -28, -20],
 [-7, 41, -13, 1, 6],
 [-20, 16, -8, -48, -18],
 [4, 10, 28, 32, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 11, -16, -2, 28],
 [-6, 19, -41, 3, -19],
 [-2, -32, 59, 9, -7],
 [-14, 23, -29, -41, 37],
 [16, 6, -6, -4, 27]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -24, -40, -10, -15],
 [-38, 38, 22, -15, 1],
 [40, 22, -70, 37, -28],
 [-12, 36, 16, 10, 10],
 [-10, 32, 26, 6, 23]]

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


[User]
Determine the rank of the following matrix:
[[0, 25, -20, 45, -5],
 [-12, 16, -11, 27, -20],
 [-4, -23, 19, -42, -1],
 [24, -2, -2, 0, 34],
 [-12, -19, 17, -36, -13]]

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


[User]
Determine the rank of the following matrix:
[[-10, -17, 37, -2, -24],
 [-40, 21, -24, 27, 10],
 [56, -7, -22, -1, 25],
 [-8, -4, 5, 5, -4],
 [-7, -30, 10, 28, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, 4, 4, 16, -20],
 [42, 5, 3, -32, 33],
 [36, 18, 14, -32, 26],
 [-54, -9, -6, 42, -42],
 [-12, 26, 22, 0, -14]]

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


[User]
Find the rank of the matrix:
[[1, -5, 3, 1, 6],
 [-28, -17, 11, 15, 12],
 [-20, -20, -48, -8, -48],
 [-45, -19, -13, 13, -18],
 [8, -4, -4, -4, 0]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [-9, 0, 12, 18, -6],
 [0, 0, 0, 0, 0],
 [6, 0, -8, -12, 4]]?

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


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

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


[User]
Find the rank of the matrix:
[[-22, -8, -17, -8, -9],
 [-18, 21, 18, 2, 47],
 [28, 3, 13, 6, -14],
 [28, -23, -21, -14, -52],
 [30, 20, 25, -16, 23]]

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

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 8, 24, 16, 12],
 [3, 6, 18, 12, 9],
 [-3, -6, -18, -12, -9],
 [-1, -2, -6, -4, -3],
 [2, 4, 12, 8, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[35, 30, 29, 2, 37],
 [10, 15, -24, -28, -1],
 [-2, 4, -34, 2, -51],
 [-26, -1, 28, 24, -23],
 [-33, -34, -15, -2, -13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, -44, 20, -29, -3],
 [5, 19, -6, 20, 7],
 [2, 27, -1, 8, -1],
 [-53, -11, -12, 17, -20],
 [62, 25, 15, -5, 34]]

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


[User]
Determine the rank of the following matrix:
[[42, 7, -58, -22, 2],
 [54, 32, 14, 10, -23],
 [42, 16, 5, 14, -17],
 [-20, -4, 21, -4, 26],
 [54, 30, 22, 18, -25]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, -9, 8, 18, -18],
 [-14, 8, -6, 24, -24],
 [12, -34, 28, -12, 12],
 [16, -39, 32, -18, 18],
 [-22, 18, -14, 36, -36]]

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


[User]
Determine the rank of the following matrix:
[[-47, 17, 11, 27, -3],
 [3, -42, 47, -2, -11],
 [19, 32, -31, 0, 13],
 [-28, 7, -13, 33, 36],
 [-24, 42, -30, 10, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[21, 4, -8, -14, -24],
 [-26, -5, 11, 18, 30],
 [-12, -2, -2, 4, 12],
 [-18, -2, -26, -8, 12],
 [-9, -2, 10, 10, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[72, -42, 0, -36, 24],
 [-18, 18, 0, 18, -6],
 [0, 25, 0, 30, 0],
 [6, 24, 0, 30, 2],
 [-60, 30, 0, 24, -20]]

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


[User]
What is the rank of the matrix:
[[20, 6, 18, -10, -8],
 [-22, -21, -27, 17, 22],
 [18, -33, -3, 7, 28],
 [-44, 6, -30, 14, 0],
 [2, -9, -3, 3, 8]]?

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


[User]
Find the rank of the matrix:
[[4, -10, 21, -9, -5],
 [21, -6, -11, 8, 12],
 [8, 29, 18, -14, 8],
 [22, -19, -8, 14, -8],
 [21, -8, 10, -9, 27]]

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


[User]
What is the rank of the matrix:
[[-84, 33, -10, 66, 21],
 [-11, -19, 11, 26, 18],
 [19, -35, 40, -4, -8],
 [-16, -26, 36, 28, 6],
 [2, 18, -28, -8, 4]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -14, 7, -11, 15],
 [9, 6, 21, -18, 4],
 [0, -40, 4, -18, -16],
 [8, -10, 0, 1, 20],
 [37, 22, -5, 1, 16]]

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


[User]
Determine the rank of the following matrix:
[[-6, 8, 12, 13, 3],
 [-14, -4, -16, -17, -7],
 [-4, 48, -11, -9, -35],
 [-19, -2, -38, -44, -20],
 [15, -51, 50, 56, 58]]

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


[User]
What is the rank of the matrix:
[[-6, 30, 60, 36, 0],
 [-2, -15, -25, -12, -1],
 [30, 0, -30, -36, 6],
 [34, 5, -25, -36, 7],
 [-1, 30, 55, 30, 1]]?

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


[User]
Find the rank of the matrix:
[[-16, -1, 2, -9, -1],
 [-18, -4, 12, -2, -30],
 [27, 7, -4, 18, -28],
 [-6, 21, -30, -21, 15],
 [-18, -28, 36, 7, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[48, 22, 28, -22, 36],
 [-15, 7, -4, -3, -15],
 [-51, 42, 1, -8, -33],
 [54, 11, 4, -39, 28],
 [15, 23, 14, -23, -5]]

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


[User]
Find the rank of the matrix:
[[8, 20, 43, 10, 54],
 [-44, -6, -44, -4, -64],
 [20, -12, -17, -28, -4],
 [-11, 16, -17, -15, -14],
 [23, -61, 18, 14, 13]]

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


[User]
What is the rank of the matrix:
[[-6, -6, 2, 8, -10],
 [9, 9, -3, -12, 15],
 [-12, -12, 4, 16, -20],
 [-18, -18, 6, 24, -30],
 [3, 3, -1, -4, 5]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, 1, -16, -7, -2],
 [6, -11, 16, 13, -2],
 [17, -15, 46, 24, 4],
 [-2, -10, -6, 7, -8],
 [-11, 40, -28, -42, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-17, -55, 23, -62, -9],
 [32, 22, 33, 14, 15],
 [-7, 7, 1, -6, -38],
 [-8, -26, 17, -36, -29],
 [31, 31, -8, 50, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, -25, 20, -5, -10],
 [-18, -15, 12, -3, -6],
 [6, 5, -4, 1, 2],
 [-6, -5, 4, -1, -2],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[-31, -1, -8, 5, -31],
 [14, 8, 1, 5, 14],
 [-14, -8, -1, -5, -14],
 [-25, 21, -14, 25, -25],
 [15, 3, 3, 0, 15]]?

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


[User]
Find the rank of the matrix:
[[9, -16, 66, -17, -27],
 [-24, 35, -30, 18, 27],
 [40, -35, -34, 6, -11],
 [-39, 66, -18, 35, 39],
 [25, -34, 38, -17, -29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, -32, 20, -16, -42],
 [-20, 24, -16, 0, 44],
 [-14, 14, -10, -8, 34],
 [-2, -6, 2, -24, 14],
 [-13, 10, -8, -16, 35]]

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


[User]
What is the rank of the matrix:
[[20, 12, 6, -8, 16],
 [-13, 12, -29, 19, 8],
 [-5, 30, -28, 2, 19],
 [15, -2, 6, 5, 8],
 [-12, 28, -30, 2, 14]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, 10, -36, -56, -38],
 [18, -3, 32, 27, 18],
 [8, -9, 21, 13, 9],
 [14, -21, 8, 25, 18],
 [16, 35, -3, 19, 11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-35, -33, -30, -9, 15],
 [6, -9, 9, -27, 9],
 [-35, -33, -30, -9, 15],
 [-23, -32, -17, -26, 18],
 [33, 17, 32, -19, -3]]

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


[User]
Determine the rank of the following matrix:
[[36, -25, -28, 40, 3],
 [-12, 20, 14, -18, -8],
 [36, -15, -24, 36, -3],
 [-24, 0, 12, -20, 8],
 [-18, -15, 3, -9, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, 27, 12, -15, 3],
 [9, 54, 29, -20, 2],
 [-46, 8, -36, 37, 47],
 [40, -35, 3, -29, -29],
 [-39, -18, -9, 43, 3]]

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


[User]
Determine the rank of the following matrix:
[[-36, 1, -26, -8, 18],
 [4, -26, -18, -17, 9],
 [1, 58, -34, 45, -7],
 [37, 36, 24, 39, -30],
 [39, 47, 6, 45, -26]]

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


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

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


[User]
What is the rank of the matrix:
[[12, -24, 4, -8, -16],
 [-9, 18, -3, 6, 12],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [12, -24, 4, -8, -16]]?

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


[User]
Determine the rank of the following matrix:
[[3, 33, -8, 9, 4],
 [20, -8, 3, 30, 30],
 [-29, -10, 40, -12, -2],
 [-8, -27, 46, 27, 20],
 [1, 2, -2, -12, 16]]

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


[User]
Determine the rank of the following matrix:
[[13, -17, -9, 1, -26],
 [-20, -12, -41, -53, 19],
 [39, 19, 29, 16, -5],
 [5, -18, -19, -12, -18],
 [41, 12, 41, 34, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 24, 11, -27, -14],
 [17, 6, -30, -1, 27],
 [11, 11, 3, 17, 16],
 [12, 36, 16, -12, -4],
 [1, -18, -29, -5, 14]]

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


[User]
Find the rank of the matrix:
[[-13, -39, -29, 95, 21],
 [-6, 13, 37, -68, -22],
 [6, -38, 6, 56, -22],
 [-14, -22, -14, 8, 17],
 [-13, -85, -15, 22, 1]]

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


[User]
What is the rank of the matrix:
[[21, -91, -80, -33, 19],
 [11, 4, 5, 32, -14],
 [-3, 21, 20, 13, 3],
 [6, -32, -30, -16, -4],
 [-23, 61, 50, -2, -21]]?

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


[User]
Find the rank of the matrix:
[[-11, -17, -19, -4, -25],
 [-6, -36, 11, 45, 15],
 [-20, 34, 0, -4, 50],
 [-8, 8, -17, -21, -15],
 [15, -22, 12, 17, -13]]

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


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

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


[User]
What is the rank of the matrix:
[[-10, 20, 4, -20, -14],
 [3, -5, -2, 6, 4],
 [-8, 10, 8, -16, -10],
 [11, -25, -2, 22, 16],
 [-15, 5, 26, -30, -16]]?

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -28, -30, 60, -12],
 [26, -16, -30, 24, -12],
 [-22, 20, 30, -36, 12],
 [-10, 4, 10, -4, 4],
 [0, -7, -5, 17, -2]]

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


[User]
Determine the rank of the following matrix:
[[24, -43, 7, -30, 74],
 [-10, 3, -6, 10, -4],
 [72, -46, -15, -30, 18],
 [47, -16, -21, -5, -28],
 [-41, 15, 18, 5, 22]]

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


[User]
What is the rank of the matrix:
[[-16, -27, -7, 16, 13],
 [-29, -27, -2, 20, 14],
 [-21, -33, -8, 20, 16],
 [-15, 21, 16, -4, -8],
 [-41, -18, 7, 20, 11]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -27, -45, 24, 27],
 [-24, -20, -12, -8, -12],
 [-24, -18, -6, -13, -18],
 [0, -6, -18, 15, 18],
 [0, 12, 36, -30, -36]]

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


[User]
Determine the rank of the following matrix:
[[42, 2, -23, 21, 38],
 [7, 8, -22, -25, -17],
 [5, -32, 12, -2, 0],
 [26, -39, -16, -17, 3],
 [27, 3, -20, 15, 29]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[21, 7, -16, -13, 15],
 [-22, 8, -13, -40, 12],
 [-21, 6, 23, 26, -27],
 [-48, 27, 5, -26, -1],
 [11, -41, 8, 22, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -3, -24, -21, -6],
 [6, 9, 24, 0, -2],
 [-22, 35, 26, 3, 0],
 [23, -26, 3, 11, 3],
 [12, -18, 0, 12, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 2, -9, 3, -18],
 [-31, 32, -15, 33, -18],
 [-33, 53, 28, 42, 30],
 [-26, 38, 12, 32, 12],
 [36, -2, 62, -18, 60]]

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


[User]
Determine the rank of the following matrix:
[[11, 1, 15, -18, -23],
 [-40, -5, -24, 24, -8],
 [-19, -4, -28, 15, -7],
 [-22, 3, 40, 6, 18],
 [14, -1, -31, 9, 20]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [15, -10, -15, 30, 10],
 [18, -12, -18, 36, 12],
 [-6, 4, 6, -12, -4],
 [-12, 8, 12, -24, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[6, -41, 0, -6, 26],
 [1, -2, 0, -30, -15],
 [3, -15, 0, -36, -9],
 [-6, 32, 0, 60, 10],
 [-4, 23, 0, 30, 0]]

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


[User]
What is the rank of the matrix:
[[45, -36, -43, -12, -13],
 [-62, 58, 52, -6, 46],
 [26, -4, 16, -4, -5],
 [34, -2, 16, -32, -25],
 [-36, -9, -22, 44, -10]]?

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


[User]
What is the rank of the matrix:
[[-26, 0, -48, -16, 32],
 [-36, 38, 30, -9, 18],
 [-14, -4, -36, -10, 20],
 [-15, -8, -48, -12, 24],
 [-56, 36, -12, -22, 44]]?

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


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

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


[User]
Find the rank of the matrix:
[[17, 22, -38, 29, 31],
 [-18, -20, -36, 0, 40],
 [-36, -36, 24, 3, -3],
 [1, 10, -1, 46, 10],
 [25, 30, 41, 13, -45]]

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


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

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


[User]
What is the rank of the matrix:
[[16, 54, -41, -4, -8],
 [-42, 6, -18, -42, -12],
 [-18, -3, 50, 40, -19],
 [19, -35, 25, 19, 27],
 [46, 8, -2, 30, 53]]?

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


[User]
Find the rank of the matrix:
[[75, 8, 28, 24, -56],
 [-8, -5, 16, 1, 35],
 [19, -6, 14, 16, -36],
 [23, -17, 30, 23, -2],
 [-21, 27, -27, -30, 16]]

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


[User]
Determine the rank of the following matrix:
[[0, -4, -12, 10, 8],
 [0, -12, -36, 30, 24],
 [0, -6, -18, 15, 12],
 [0, -12, -36, 30, 24],
 [0, 8, 24, -20, -16]]

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


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

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


[User]
Find the rank of the matrix:
[[-11, -16, 11, 34, 17],
 [-46, -18, -8, 4, 4],
 [-12, 18, -12, -26, -12],
 [27, -26, -25, -10, 35],
 [-2, -32, 2, 28, 26]]

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


[User]
Determine the rank of the following matrix:
[[-11, -52, -27, 4, 23],
 [-25, 6, 28, 8, 16],
 [10, 13, 44, -26, -17],
 [-12, -21, -17, 51, 26],
 [4, 48, 35, -2, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[15, -6, -11, -15, -12],
 [-11, 4, 1, 9, 5],
 [-14, -3, -55, -4, -8],
 [9, -13, 18, -1, 41],
 [16, -4, -4, -14, -15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[38, -30, -13, 16, -13],
 [30, -14, -17, 11, -35],
 [-18, -22, 26, 6, 27],
 [6, 18, -14, -12, -29],
 [-14, 24, -4, 6, 31]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 14, -1, 13, 11],
 [-23, 8, -7, 31, 2],
 [4, -16, -4, 4, -16],
 [-2, -20, -8, 16, -22],
 [-10, 26, 5, -1, 25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-17, 26, 2, -3, 18],
 [-7, 55, -3, -10, 55],
 [-23, 42, -3, 10, 57],
 [-36, 37, 14, -25, 29],
 [-23, 51, -10, 24, 37]]

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


[User]
Find the rank of the matrix:
[[5, -4, 12, 26, -24],
 [-28, -51, -38, -54, -45],
 [-21, 22, -2, -12, 4],
 [36, -19, 16, 29, 18],
 [11, 23, -4, -8, 37]]

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


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

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


[User]
Find the rank of the matrix:
[[11, 0, -101, -59, -24],
 [-30, 31, 76, 47, 17],
 [18, -66, -30, -24, 0],
 [19, 33, -20, -9, -6],
 [-39, 11, 28, 17, 8]]

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


[User]
Determine the rank of the following matrix:
[[5, -3, -6, 6, 0],
 [25, -15, -30, 30, 0],
 [25, -15, -30, 30, 0],
 [0, 0, 0, 0, 0],
 [5, -3, -6, 6, 0]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, 9, 6, -17, 17],
 [10, 15, 18, -18, -23],
 [0, -31, -25, 31, 29],
 [25, -48, 18, 39, -2],
 [46, -24, 3, 4, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 24, -8, 8, 12],
 [-2, 12, -4, 4, 6],
 [-15, -20, -10, 5, -25],
 [18, 2, 16, -11, 16],
 [12, 38, 4, 1, 34]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 5, -7, 0, -5],
 [-10, 8, -26, 12, -10],
 [0, 26, 8, -36, -20],
 [6, -10, 14, 0, 10],
 [-10, 8, -26, 12, -10]]

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


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

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


[User]
What is the rank of the matrix:
[[3, 3, -3, -5, 7],
 [-2, -3, 6, 3, -16],
 [-17, 42, 38, 14, 10],
 [6, 22, 24, 6, -27],
 [52, 11, -3, 19, -48]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, -6, 23, 11, -8],
 [12, -24, 8, 2, 24],
 [-18, 30, -13, -4, -28],
 [18, -36, 12, 3, 36],
 [18, 6, 19, 10, -20]]

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


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

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


[User]
Determine the rank of the following matrix:
[[15, 0, 6, -6, 42],
 [12, 12, 0, -3, 60],
 [-12, -6, -8, 6, -72],
 [-2, 9, -12, 5, -20],
 [9, 8, -6, 0, 14]]

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


[User]
What is the rank of the matrix:
[[23, -13, 63, -5, -9],
 [-19, 21, -67, 10, -1],
 [-6, 11, 18, 8, -26],
 [-22, -12, 18, -7, 8],
 [24, 9, 0, 6, -12]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[16, -31, 31, 36, -12],
 [15, 1, 6, 6, -10],
 [7, -16, 27, 18, 12],
 [-7, -23, 14, 18, 3],
 [-9, 2, -13, -6, -5]]

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


[User]
What is the rank of the matrix:
[[1, 28, -82, 75, 56],
 [-25, 4, -2, 7, 12],
 [21, -20, 0, 41, -2],
 [46, -47, 56, -9, -52],
 [3, -11, 54, -28, -20]]?

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


[User]
Calculate the rank of matrix A where A =
[[-15, 30, 8, -7, 2],
 [-18, 40, 29, -2, 2],
 [-2, 11, 44, 21, -8],
 [-6, 32, -54, -59, 0],
 [-9, 18, 23, 7, 0]]

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


[User]
Find the rank of the matrix:
[[33, 33, 34, -41, 24],
 [-36, -36, -36, 36, -24],
 [-15, -15, -10, -25, 0],
 [-15, -15, -20, 55, -20],
 [9, 9, 8, -1, 4]]

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


[User]
Find the rank of the matrix:
[[-8, -22, -11, 37, 35],
 [18, -10, -29, 36, 8],
 [58, 24, -11, -7, 11],
 [-65, -29, -2, 4, -40],
 [17, -9, -34, 27, -11]]

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


[User]
Find the rank of the matrix:
[[-8, -3, 14, 3, 6],
 [-21, -36, 18, 36, -18],
 [7, 12, -6, -12, 6],
 [-12, -27, 6, 27, -18],
 [22, 42, -16, -42, 24]]

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


[User]
Determine the rank of the following matrix:
[[5, 0, -20, -5, 0],
 [43, 40, 12, -35, 32],
 [31, 25, -9, -26, 20],
 [-10, -10, -6, 8, -8],
 [34, 30, 2, -28, 24]]

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


[User]
Find the rank of the matrix:
[[8, 16, -20, 0, 0],
 [0, 0, 0, 0, 0],
 [4, 8, -10, 0, 0],
 [10, 20, -25, 0, 0],
 [4, 8, -10, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-42, -17, -9, 23, -39],
 [-18, 2, 24, -5, 0],
 [6, 11, 27, -17, 21],
 [-4, -9, -23, 14, -17],
 [-12, 8, 36, -14, 12]]

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


[User]
Determine the rank of the following matrix:
[[20, 5, 2, 12, 29],
 [-15, -21, 33, -9, 7],
 [-30, -27, 36, -18, -11],
 [15, -6, 21, 9, 38],
 [-25, 5, -25, -15, -55]]

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


[User]
Find the rank of the matrix:
[[19, 0, 8, -14, -31],
 [8, 17, -2, 12, -39],
 [4, 18, -4, 16, -34],
 [15, 20, 0, 10, -55],
 [18, -14, 12, -28, -8]]

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


[User]
Determine the rank of the following matrix:
[[-51, -4, -52, 30, -14],
 [-15, -5, -21, 9, -11],
 [-12, -4, -23, 12, -15],
 [-19, -7, 17, 5, 19],
 [-28, 3, -11, 26, 5]]

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


[User]
What is the rank of the matrix:
[[27, 9, 5, -21, -10],
 [5, 17, 12, -32, -1],
 [-5, -17, -12, 32, 1],
 [7, -5, -4, 8, -3],
 [28, -2, -3, -1, -11]]?

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


[User]
What is the rank of the matrix:
[[-50, 37, 7, -31, -64],
 [-16, 24, 22, -16, -32],
 [-26, -38, -34, -16, -12],
 [34, -24, 0, 32, 40],
 [-2, 22, 28, 16, -20]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[42, -13, 26, -33, -23],
 [4, 17, 12, 0, -6],
 [-14, -10, -22, -3, 13],
 [22, -46, -19, -48, 1],
 [30, -10, 15, -30, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 6, -12, 18, 30],
 [0, -5, 10, -15, -25],
 [0, -1, 2, -3, -5],
 [0, 4, -8, 12, 20],
 [0, 2, -4, 6, 10]]

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


[User]
Find the rank of the matrix:
[[0, 2, 5, -6, -4],
 [0, -8, -20, 24, 16],
 [0, -2, -5, 6, 4],
 [0, -12, -30, 36, 24],
 [0, 2, 5, -6, -4]]

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


[User]
Determine the rank of the following matrix:
[[10, -63, 42, -55, -7],
 [16, 25, -5, -3, 8],
 [-9, -49, 27, -35, 7],
 [16, 59, -28, 31, -1],
 [18, 51, -26, 35, -17]]

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


[User]
Determine the rank of the following matrix:
[[-30, -15, -25, 40, -5],
 [0, -6, 42, -24, 54],
 [33, 16, 31, -46, 10],
 [-21, -12, -7, 22, 10],
 [-21, -11, -14, 26, 1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -20, -20, 25, 15],
 [14, 16, 0, -13, -5],
 [-2, -4, 12, -2, -4],
 [26, 32, -16, -19, -3],
 [4, 4, 4, -5, -3]]

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


[User]
Determine the rank of the following matrix:
[[5, -2, -43, 5, 3],
 [26, 8, 8, 10, 16],
 [2, 4, -4, -14, 0],
 [-23, -31, 19, -15, -30],
 [40, 14, -53, 0, 24]]

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


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

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


[User]
Determine the rank of the following matrix:
[[15, 48, -27, -18, -36],
 [24, -6, -36, 36, 18],
 [-18, 16, 26, -36, -24],
 [15, -21, -21, 36, 27],
 [-1, 6, 1, -6, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 2, 16, 9, 28],
 [-30, 50, 9, -15, 9],
 [-32, -28, -22, 8, -2],
 [7, 18, 17, 1, 34],
 [4, 14, 8, -3, 13]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 9, 9, -15, -9],
 [24, -12, -12, 20, 12],
 [-6, 3, 3, -5, -3],
 [0, 0, 0, 0, 0],
 [-6, 3, 3, -5, -3]]

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


[User]
Find the rank of the matrix:
[[6, 9, -7, 9, -27],
 [-37, -14, 8, -24, 6],
 [-16, 4, -3, 0, -15],
 [13, 5, -4, 7, -14],
 [8, 16, -9, 20, -13]]

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


[User]
What is the rank of the matrix:
[[5, -26, 13, -28, 26],
 [-27, 5, -23, 35, -22],
 [10, 34, -9, 18, -33],
 [10, -25, 21, -33, 37],
 [-30, -41, -11, -1, 13]]?

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


[User]
Find the rank of the matrix:
[[7, 27, 39, 15, 5],
 [8, -20, -84, -6, -40],
 [-12, -30, 18, 9, 27],
 [6, -18, -42, 12, -19],
 [-5, 13, 9, -24, 4]]

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


[User]
What is the rank of the matrix:
[[-1, 2, 10, 11, 12],
 [0, 3, 16, 19, 20],
 [-3, -6, -34, -43, -44],
 [-10, -1, -12, -23, -20],
 [-3, 0, -2, -5, -4]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-21, 12, 26, 2, -35],
 [-66, -54, 60, 72, -78],
 [-2, 22, -4, -16, 2],
 [5, -2, 4, 0, -3],
 [-26, -10, 42, 22, -52]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-33, -12, 24, 0, -18],
 [-15, 6, -12, -18, 0],
 [-30, -9, 18, -3, -15],
 [-27, -6, 12, -6, -12],
 [25, 11, -22, -3, 15]]

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


[User]
Find the rank of the matrix:
[[-36, -48, -14, -32, 8],
 [-22, -36, -8, -24, 16],
 [11, 18, 4, 12, -8],
 [18, 12, 8, 8, 16],
 [16, 24, 6, 16, -8]]

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


[User]
What is the rank of the matrix:
[[16, -19, 0, -8, 8],
 [-29, 26, 3, 48, 54],
 [31, -14, -32, -7, -1],
 [-25, -3, 37, -12, -8],
 [-33, -6, 21, -2, 20]]?

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


[User]
Calculate the rank of matrix A where A =
[[3, -30, 36, 4, 2],
 [-14, 24, 35, 20, 10],
 [6, 12, -54, -16, -8],
 [-7, 30, -14, 4, 2],
 [1, -6, 5, 0, 0]]

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


[User]
Find the rank of the matrix:
[[16, -33, -9, -2, 32],
 [35, -36, -11, 20, 79],
 [23, -63, 12, 2, 17],
 [33, -11, 7, 40, 49],
 [-22, -12, -19, -46, -64]]

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


[User]
Find the rank of the matrix:
[[22, -7, 45, -32, -5],
 [7, -8, 25, -13, -4],
 [33, 35, -25, -25, 12],
 [-10, 8, -41, 18, 5],
 [35, 15, -10, -35, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 1, 3, -6, -6],
 [20, -4, -12, 24, 24],
 [-15, 3, 9, -18, -18],
 [-20, 4, 12, -24, -24],
 [-10, 2, 6, -12, -12]]

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


[User]
What is the rank of the matrix:
[[21, -17, -20, 17, -12],
 [26, -26, -15, 25, -16],
 [-18, -18, 15, -3, 22],
 [-19, -17, -3, -8, 28],
 [17, 23, -17, 0, -22]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[32, -7, -14, -12, -30],
 [33, -24, -34, 6, -46],
 [-2, -26, -10, -6, -18],
 [-3, 15, 30, -36, 18],
 [-14, 39, 15, 25, 39]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-54, 15, 33, -30, 3],
 [-26, -40, -26, -56, 34],
 [-32, -28, -18, -34, -14],
 [-4, -17, -17, -10, -7],
 [41, 13, -3, 43, -16]]

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


[User]
Determine the rank of the following matrix:
[[-11, -9, 23, -69, 5],
 [-33, 37, -31, 6, -30],
 [-10, -6, -30, 24, 4],
 [-28, 29, -46, 41, -21],
 [-37, 10, -45, 6, -8]]

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


[User]
What is the rank of the matrix:
[[-21, 4, -1, -3, 10],
 [-10, -28, 11, 39, -18],
 [24, -17, 6, 20, -21],
 [1, -18, 10, 16, -18],
 [-21, 3, -2, 2, 11]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 24, -16, -4, 34],
 [-4, -26, -14, -11, -19],
 [0, 22, 14, 17, 22],
 [-4, 22, 34, 29, 13],
 [-12, -34, -2, 3, -24]]

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


[User]
What is the rank of the matrix:
[[33, 21, 37, 3, -27],
 [-6, 8, -12, 4, 12],
 [14, -10, 22, -6, -18],
 [5, -37, 3, -15, 18],
 [1, -36, -6, -14, 30]]?

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


[User]
Calculate the rank of matrix A where A =
[[25, -10, 5, 15, 15],
 [-20, 8, -4, -12, -12],
 [5, -2, 1, 3, 3],
 [20, -8, 4, 12, 12],
 [-15, 6, -3, -9, -9]]

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


[User]
What is the rank of the matrix:
[[-9, 8, 16, 16, 26],
 [1, -25, 33, 30, -19],
 [-43, 5, -11, 18, 5],
 [-16, 6, -6, 24, -2],
 [-6, -1, 4, 19, -4]]?

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


[User]
Determine the rank of the following matrix:
[[-6, 3, -3, -12, -15],
 [2, -8, 0, -10, -22],
 [-14, 28, -4, 14, 46],
 [12, -20, 4, -4, -24],
 [-1, -3, -1, -9, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 24, 3, -30, -21],
 [-13, -6, -29, 10, 3],
 [-23, -7, 2, 19, 26],
 [-25, 17, -52, 11, 4],
 [-15, -47, -9, 31, -57]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -5, 1, 2, 1],
 [-16, 20, -4, -8, -4],
 [-16, 20, -4, -8, -4],
 [-8, 10, -2, -4, -2],
 [20, -25, 5, 10, 5]]

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


[User]
Determine the rank of the following matrix:
[[27, -3, -17, 3, 5],
 [-23, 2, 11, 13, 6],
 [41, -12, -44, -31, -42],
 [33, -1, -12, -3, 9],
 [-42, 12, 50, -18, 4]]

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


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

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


[User]
Find the rank of the matrix:
[[5, -10, -8, 26, 49],
 [50, -45, 30, -15, -5],
 [-30, 29, -14, -1, -15],
 [45, -42, 24, -6, 9],
 [-25, 21, -18, 15, 16]]

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


[User]
What is the rank of the matrix:
[[12, -12, -9, -3, -3],
 [3, 29, 7, 13, 21],
 [0, 18, 18, 12, 6],
 [30, -10, 4, 8, -4],
 [-9, -39, -12, -20, -28]]?

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


[User]
Calculate the rank of matrix A where A =
[[29, -48, 5, 11, 12],
 [17, 7, -20, -28, 0],
 [-10, 30, -26, -46, 3],
 [54, 0, -42, -54, 0],
 [-6, 36, -16, -24, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [11, 15, -14, 3, 27],
 [-10, 25, 15, -30, 30],
 [-6, 32, 10, -30, 42],
 [24, -26, -34, 48, -24]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 20, 38, -40, -44],
 [-12, 30, 46, -26, -22],
 [-20, -1, 26, -15, -21],
 [-31, -32, -3, 34, 29],
 [-17, 35, 63, -49, -50]]

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


[User]
Determine the rank of the following matrix:
[[25, 20, 0, -30, 10],
 [5, 4, 0, -6, 2],
 [30, 24, 0, -36, 12],
 [-20, -16, 0, 24, -8],
 [10, 8, 0, -12, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -3, 0, -10, -4],
 [-51, 20, -32, -2, -28],
 [-29, -35, -62, 1, -16],
 [57, -57, 0, -26, 13],
 [-13, 37, -6, 13, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 24, -12, -12, 8],
 [1, 6, -3, -3, 2],
 [4, 24, -12, -12, 8],
 [6, 36, -18, -18, 12],
 [4, 24, -12, -12, 8]]

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


[User]
What is the rank of the matrix:
[[-8, -24, 16, 0, -12],
 [-8, 16, -20, -24, -6],
 [-3, 21, -21, -18, 0],
 [3, -1, 3, 6, 3],
 [12, 36, -24, 0, 18]]?

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


[User]
Calculate the rank of matrix A where A =
[[-23, 44, 29, -19, -7],
 [2, -11, -18, 30, 1],
 [3, -6, -4, 5, 0],
 [38, -59, -8, 22, -17],
 [18, -15, 22, -50, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 8, 24, 12, -24],
 [-18, -12, -36, -18, 36],
 [-12, -8, -24, -12, 24],
 [9, 6, 18, 9, -18],
 [0, 0, 0, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 24, -7, 2, -2],
 [-3, 54, 0, 15, 6],
 [12, -24, 16, 4, 8],
 [18, 12, 28, 22, 20],
 [0, 36, 3, 12, 6]]

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


[User]
Find the rank of the matrix:
[[-14, 36, 22, -48, -32],
 [35, 30, 37, -12, -8],
 [-36, -36, -42, 18, 12],
 [-3, 12, 8, -15, -10],
 [-29, -24, -30, 9, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, -8, -5, 7, -31],
 [-25, 10, -20, -7, 37],
 [-8, 2, -53, -3, 17],
 [-14, 11, 26, 11, -14],
 [-31, 19, 29, 9, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, -40, -38, -23, -1],
 [26, -3, -6, -32, -1],
 [-3, 30, 2, 35, 13],
 [-38, 3, -4, 45, -32],
 [42, 32, 24, -36, 48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 11, -5, 25, -7],
 [22, 26, 1, -5, -30],
 [-11, -8, 2, -10, 5],
 [14, -10, 1, -5, 14],
 [-3, 14, -5, 25, -11]]

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


[User]
What is the rank of the matrix:
[[4, -11, 9, -15, 1],
 [5, 14, -6, -2, 2],
 [-44, -32, 0, 24, 16],
 [6, -21, 15, -9, -9],
 [-14, 1, -7, 15, 5]]?

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


[User]
Determine the rank of the following matrix:
[[-4, 0, 6, -2, -3],
 [-2, 0, 13, -36, -39],
 [2, 0, -13, 36, 39],
 [10, 0, -13, -2, 0],
 [-4, 0, 2, 12, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 15, 10, -20, 5],
 [4, 3, 2, -4, 1],
 [12, 9, 6, -12, 3],
 [24, 18, 12, -24, 6],
 [-4, -3, -2, 4, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 4, -30, -17, -22],
 [-3, 1, -42, -12, -19],
 [18, -20, 48, -36, -28],
 [9, -21, 18, -36, -33],
 [-15, 28, -12, 58, 56]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 3, -24, -30, -33],
 [4, 13, -11, -6, 12],
 [16, 22, -29, -24, 3],
 [20, 3, -24, -30, -33],
 [16, 10, -23, -24, -15]]

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


[User]
Determine the rank of the following matrix:
[[-8, -13, 10, 20, -14],
 [-23, 4, 28, 24, -2],
 [-16, -3, 11, 12, -4],
 [34, 6, -15, -16, 6],
 [17, 19, 30, 16, -36]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 20, -24, 16, -8],
 [15, 9, -12, 3, 0],
 [25, 19, -24, 11, -4],
 [25, 31, -36, 29, -16],
 [10, -20, 18, -37, 26]]

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


[User]
Determine the rank of the following matrix:
[[18, 41, 38, -46, -31],
 [30, 15, 15, -10, 5],
 [-4, -25, -27, 19, 21],
 [20, 39, 31, -57, -31],
 [-4, 7, 11, 3, -7]]

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


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

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


[User]
Determine the rank of the following matrix:
[[5, -27, -31, -19, 38],
 [5, -7, -11, -7, 10],
 [45, 2, -34, -24, -1],
 [-20, 18, 34, 22, -26],
 [-25, -5, 15, 11, 6]]

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


[User]
Determine the rank of the following matrix:
[[10, 2, -3, 22, 17],
 [-47, 40, -22, 50, -24],
 [-7, -26, 0, 6, 6],
 [43, 18, 7, -44, 15],
 [32, 2, 13, -10, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 6, -14, 4, 4],
 [-14, 4, 24, 0, -6],
 [-6, -13, -19, 12, -13],
 [-13, 9, -7, 14, -7],
 [-4, 27, -31, 20, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, -50, 33, -14, -39],
 [51, 18, -21, 24, -13],
 [9, -13, 5, -1, -26],
 [27, -4, -5, 8, -29],
 [3, -31, 3, -7, -59]]

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


[User]
What is the rank of the matrix:
[[-12, -36, -18, -24, -30],
 [-31, -18, -29, -37, 10],
 [-21, 12, -14, -17, 35],
 [-1, 12, 2, 3, 15],
 [-37, -36, -38, -49, -5]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-25, 5, -20, 0, -10],
 [0, 0, 0, 0, 0],
 [20, -4, 16, 0, 8],
 [-10, 2, -8, 0, -4],
 [5, -1, 4, 0, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-39, 22, -5, -31, 40],
 [-39, 32, -25, -25, 44],
 [3, 6, -15, 7, 0],
 [24, -17, 10, 17, -26],
 [-12, 1, 10, -13, 10]]

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


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

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


[User]
What is the rank of the matrix:
[[-46, -26, 29, -6, 10],
 [-21, 32, 31, -4, -29],
 [27, -2, -28, -2, 11],
 [9, 12, 23, 40, -31],
 [-29, -8, 27, 4, -5]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, 3, 2, 0, 1],
 [4, -3, -2, 0, -1],
 [-4, 3, 2, 0, 1],
 [12, -9, -6, 0, -3],
 [-20, 15, 10, 0, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 3, 9, 11, 29],
 [-39, -22, -3, 2, 7],
 [6, -25, -23, -7, -25],
 [-24, 8, 24, 3, 32],
 [-13, 15, 24, -4, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[25, 25, -20, -10, 20],
 [-25, -25, 20, 10, -20],
 [-25, -25, 20, 10, -20],
 [-20, -20, 16, 8, -16],
 [15, 15, -12, -6, 12]]

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


[User]
What is the rank of the matrix:
[[9, -3, 15, -9, 9],
 [-12, 4, -20, 12, -12],
 [15, -5, 25, -15, 15],
 [3, -1, 5, -3, 3],
 [6, -2, 10, -6, 6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 12, -18, 12, 6],
 [-4, -16, 24, -16, -8],
 [-5, -20, 30, -20, -10],
 [3, 12, -18, 12, 6],
 [-1, -4, 6, -4, -2]]

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


[User]
Determine the rank of the following matrix:
[[18, 30, -6, -12, -6],
 [22, -30, 16, 27, -4],
 [-31, 15, -13, -21, 7],
 [36, -20, 16, 26, -8],
 [23, 25, -3, -7, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 7, -2, -7, -14],
 [19, -15, 16, 15, 22],
 [-24, -13, 30, 13, 6],
 [-2, -25, 34, 25, 30],
 [-32, -5, 22, 5, -6]]

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


[User]
Determine the rank of the following matrix:
[[10, -14, 46, 17, -23],
 [-1, 3, -3, 2, -3],
 [-8, -6, 0, -10, 8],
 [2, -8, 4, 23, -19],
 [38, 20, 41, -22, 18]]

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


[User]
What is the rank of the matrix:
[[12, 36, 18, -24, 24],
 [24, 39, 30, -18, 42],
 [18, 32, 23, -16, 32],
 [8, 24, 12, -16, 16],
 [-8, -2, -8, -4, -12]]?

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


[User]
What is the rank of the matrix:
[[4, 10, 16, 28, 22],
 [60, -35, 32, 30, 7],
 [42, -34, 4, 12, 10],
 [-44, 37, -8, -2, 7],
 [-2, -14, -23, -26, -13]]?

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


[User]
Determine the rank of the following matrix:
[[-6, 37, -18, 49, -29],
 [-6, -13, 37, 2, -6],
 [-6, 37, -18, 49, -29],
 [-2, -11, 27, -10, -18],
 [-13, 16, 13, 57, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 11, -18, -9, 1],
 [-2, -61, -47, -28, 8],
 [12, -10, -7, -13, -16],
 [-8, 23, 1, 6, 7],
 [16, 29, 37, 12, -23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, -27, 28, 9, 21],
 [44, -56, 79, 5, 44],
 [-34, 36, -21, -6, -15],
 [29, -21, 53, 3, 30],
 [6, -38, -37, -1, -22]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-17, -10, -18, 5, 0],
 [23, 40, 42, 13, -3],
 [-32, 15, -11, 34, -3],
 [-1, -30, -14, -35, 20],
 [20, 0, 6, 0, -17]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, 10, -4, 6, 2],
 [11, 9, 5, -27, 40],
 [16, 24, 20, 16, 12],
 [18, 16, 26, 36, -16],
 [15, 36, 24, 36, 3]]

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


[User]
Find the rank of the matrix:
[[15, -30, 5, -5, 20],
 [3, -6, 1, -1, 4],
 [-18, 36, -6, 6, -24],
 [0, 0, 0, 0, 0],
 [15, -30, 5, -5, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -14, 6, 4, 24],
 [-49, -10, 14, 12, -35],
 [32, -19, -11, -26, 23],
 [-18, -20, 8, 0, -6],
 [8, 11, -2, 4, 5]]

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


[User]
Determine the rank of the following matrix:
[[-18, 4, 22, 35, -10],
 [-24, -7, 23, 10, -15],
 [-13, -5, 11, 2, 11],
 [-22, -40, -22, 2, -11],
 [-50, -64, -12, -4, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 5, 16, 5, 19],
 [-10, 10, 20, 5, 25],
 [-36, 12, -24, -14, -22],
 [-24, 9, -12, -8, -10],
 [2, 1, 8, 3, 9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 6, -2, 28, 11],
 [-5, -10, 15, 0, 40],
 [-3, -6, 9, 0, 24],
 [10, 2, 0, 12, 7],
 [-18, -6, 4, -20, -1]]

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


[User]
Find the rank of the matrix:
[[-14, -41, -44, -23, 5],
 [-23, 40, -19, -7, 0],
 [54, 15, 32, 38, -30],
 [17, -25, -31, 2, -20],
 [-52, 2, 24, -18, 30]]

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


[User]
Determine the rank of the following matrix:
[[2, 10, 14, 40, 18],
 [4, 2, -26, -28, 0],
 [-7, -11, 23, 4, -15],
 [5, 13, -1, 28, 21],
 [-9, -15, 27, 0, -21]]

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


[User]
Find the rank of the matrix:
[[-34, 39, -1, -49, -46],
 [-18, 27, -25, -17, -13],
 [70, -37, -37, 43, -2],
 [12, 10, -46, 30, 30],
 [8, 2, 20, -30, -53]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[51, -22, -36, -93, -30],
 [-42, 38, 36, 73, 13],
 [-42, 27, 27, 84, 12],
 [-52, 22, 57, 61, 12],
 [33, 35, -36, -22, -40]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 1, -14, -12, -20],
 [55, -20, 0, -5, 50],
 [-17, -5, 4, -3, 0],
 [50, 3, -6, 6, 20],
 [11, 1, -1, 2, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-42, 18, -24, 12, 0],
 [-21, -20, 22, 31, 7],
 [-17, -30, 34, 37, 9],
 [32, -22, 28, -2, 2],
 [7, 26, -30, -27, -7]]

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


[User]
Find the rank of the matrix:
[[-58, 12, 31, -25, -16],
 [-40, 2, -16, 36, -16],
 [56, -24, 7, -29, 24],
 [-52, 44, -23, 37, -44],
 [3, 9, 7, -13, -2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[3, -1, -6, 11, -11],
 [-3, 7, 6, -20, 20],
 [-9, -17, 18, -3, 3],
 [-3, -3, 6, -5, 5],
 [-12, -16, 24, -14, 14]]

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


[User]
Find the rank of the matrix:
[[-22, 3, -23, 11, -10],
 [10, 0, 11, -5, 7],
 [12, -18, 6, -6, -24],
 [6, -4, 5, -3, -3],
 [14, -16, 9, -7, -19]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 5, -50, -20, 25],
 [-35, -39, 12, 2, 8],
 [-30, -33, 6, 0, 9],
 [20, 26, -44, -16, 14],
 [5, 3, 24, 10, -14]]

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


[User]
Find the rank of the matrix:
[[-24, 20, -36, -25, -16],
 [-8, 20, 12, 3, 32],
 [-14, 4, -28, -20, -26],
 [14, -21, -6, 5, -24],
 [-2, 5, -14, -2, -4]]

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[User]
Compute the rank of the given 5x5 matrix:
[[42, 18, 33, -39, 12],
 [44, -14, 36, -28, -6],
 [-46, 0, -37, 35, -2],
 [-32, 6, -26, 22, 2],
 [28, -34, 24, -8, -18]]

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


[User]
Find the rank of the matrix:
[[17, 15, 0, -4, 25],
 [5, 0, 15, -10, 25],
 [-19, -20, 11, -2, -15],
 [34, 35, -17, 2, 30],
 [24, 25, -13, 2, 20]]

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[User]
Calculate the rank of matrix A where A =
[[9, 15, -12, 18, 9],
 [-3, -5, 4, -6, -3],
 [-15, -25, 20, -30, -15],
 [-6, -10, 8, -12, -6],
 [15, 25, -20, 30, 15]]

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


[User]
What is the rank of the matrix:
[[-24, 14, -11, 19, 4],
 [20, 10, -15, -5, -45],
 [-24, 8, -17, 21, -6],
 [-4, -49, 11, -5, 24],
 [-28, 33, 13, 13, 48]]?

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

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


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

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[User]
Calculate the rank of matrix A where A =
[[-30, -30, -25, 0, -10],
 [36, 36, 30, 0, 12],
 [-5, 5, -6, 1, 6],
 [-18, 42, -26, 6, 40],
 [-6, 54, -16, 6, 44]]

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


[User]
Find the rank of the matrix:
[[10, 4, 0, 4, -2],
 [20, 26, 6, -28, -4],
 [39, 44, -14, 2, -23],
 [41, 31, -1, -2, -12],
 [10, 19, 5, -26, -2]]

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[User]
What is the rank of the matrix:
[[25, 27, -8, -44, -30],
 [0, 3, 4, -9, -28],
 [18, 8, 4, -36, -20],
 [27, 0, 6, -45, -3],
 [-5, -4, -4, 13, 0]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[24, -48, 3, -14, -15],
 [-4, 26, 6, -44, 38],
 [-31, 44, 16, -14, -7],
 [-42, 18, 46, -17, -21],
 [21, -23, -14, 8, 13]]

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


[User]
Find the rank of the matrix:
[[2, -5, 2, 1, 6],
 [8, -20, 8, 4, 24],
 [0, 0, 0, 0, 0],
 [10, -25, 10, 5, 30],
 [-12, 30, -12, -6, -36]]

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


[User]
What is the rank of the matrix:
[[-12, -9, -2, -6, -18],
 [4, 3, -10, 10, 6],
 [-12, -9, -6, -3, -18],
 [44, 33, 2, 26, 66],
 [8, 6, -20, 20, 12]]?

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


[User]
Find the rank of the matrix:
[[-28, -14, 22, -2, -6],
 [-12, -12, 12, -9, -3],
 [22, 15, -19, 7, 5],
 [8, 8, -8, 6, 2],
 [18, 11, -15, 4, 4]]

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[User]
What is the rank of the matrix:
[[26, -5, -35, 19, 36],
 [48, -60, -24, 30, -30],
 [30, -25, -25, 20, 5],
 [12, 0, -18, 9, 21],
 [12, 10, -26, 10, 40]]?

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[User]
Find the rank of the matrix:
[[44, 32, 46, -28, -34],
 [10, 3, 12, 5, 14],
 [-14, 7, -24, 1, 62],
 [-14, 15, -28, -7, 70],
 [-14, 3, -22, 5, 58]]

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


[User]
Determine the rank of the following matrix:
[[22, 15, -10, -4, 5],
 [53, 1, 27, -11, -2],
 [14, 28, -20, 6, 18],
 [-81, 16, -60, -1, 15],
 [-16, -23, 8, -7, -18]]

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


[User]
Find the rank of the matrix:
[[18, 5, 5, 14, 2],
 [-30, 1, -6, -14, 20],
 [12, 10, 5, 16, 18],
 [6, -17, -3, -14, -46],
 [12, -14, -1, -8, -42]]

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


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

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


[User]
What is the rank of the matrix:
[[-46, -15, -38, 21, 14],
 [-37, -60, -56, 12, -22],
 [-35, -14, -30, 5, -36],
 [-2, 18, 8, 12, 52],
 [7, -9, 0, -12, -42]]?

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


[User]
What is the rank of the matrix:
[[-13, 34, -39, -25, 13],
 [-4, 16, -12, -4, 4],
 [13, -34, 39, 25, -13],
 [4, -10, 12, 8, -4],
 [8, -23, 24, 14, -8]]?

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


[User]
Find the rank of the matrix:
[[-36, 8, 14, -21, -24],
 [41, -1, 45, -14, 43],
 [36, -25, 22, -9, 32],
 [34, 10, -8, 67, 2],
 [-6, 35, -28, 37, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 26, 30, -28, 24],
 [-2, -2, 18, -8, 10],
 [4, -12, 12, 0, 4],
 [12, -14, -30, 22, -21],
 [14, -16, -36, 26, -25]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 2, 4, 6, -3],
 [8, 4, 16, 26, -21],
 [4, -4, 8, 16, -24],
 [12, 28, 24, 28, 18],
 [-2, -18, -4, 2, -33]]

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


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

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


[User]
Determine the rank of the following matrix:
[[23, 16, -19, -15, -15],
 [-26, -7, 13, 0, 30],
 [-27, -21, 24, 21, 15],
 [2, 11, -9, -16, 10],
 [-22, -2, 8, -6, 30]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, -3, -21, -33, 12],
 [-3, -7, 19, -29, -10],
 [-4, 20, -24, 27, -24],
 [1, -18, 32, -10, 19],
 [-4, 4, 8, 23, -8]]

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


[User]
What is the rank of the matrix:
[[-18, 10, -16, -8, 1],
 [42, 43, -32, -42, 72],
 [15, 5, -10, -23, 31],
 [-26, 9, -16, 1, -13],
 [-32, -28, 28, 7, -22]]?

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


[User]
Determine the rank of the following matrix:
[[30, -35, -5, -16, 16],
 [17, -35, -4, -31, 24],
 [-36, 0, 8, -18, -4],
 [-7, -40, 3, -41, 16],
 [19, -10, -5, -5, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, -14, 5, 5, 8],
 [-18, 28, -2, -23, -27],
 [31, 20, -9, -6, -13],
 [-11, 33, -12, -18, -33],
 [-1, 8, 11, -16, -3]]

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


[User]
What is the rank of the matrix:
[[-40, 20, 45, -25, 55],
 [9, 0, -15, 15, -15],
 [3, 0, -5, 5, -5],
 [-4, 8, -2, 10, 2],
 [-16, 8, 18, -10, 22]]?

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


[User]
Find the rank of the matrix:
[[-22, 2, 17, 26, -18],
 [6, 32, 33, 0, 39],
 [18, -3, 7, -21, 27],
 [-11, -15, -61, -30, 7],
 [-24, -19, -59, -19, -5]]

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


[User]
Determine the rank of the following matrix:
[[-20, -44, 18, 26, -5],
 [-27, 8, -48, -25, -30],
 [-8, -8, -3, 27, -6],
 [-49, -14, -27, 2, -51],
 [2, 4, 3, 27, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -6, -25, 16, -38],
 [-26, 12, -28, -40, 0],
 [4, 0, 1, -40, 34],
 [-31, 15, -26, -19, -16],
 [0, 0, -9, -48, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 24, 0, 9, 0],
 [14, 16, 0, -30, -16],
 [-5, -28, 0, -6, 2],
 [5, 40, 0, 15, 0],
 [-13, -20, 0, 24, 14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, 1, 7, -2, -33],
 [-6, -6, -13, -15, -21],
 [-6, -15, -43, 12, -3],
 [-8, 3, 10, -25, 6],
 [12, 4, 8, 28, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -1, 50, 37, -28],
 [12, -26, -8, 42, 24],
 [4, 8, 4, 40, 0],
 [0, 25, -20, -15, 0],
 [10, -25, -14, 19, 24]]

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


[User]
Determine the rank of the following matrix:
[[-21, -2, 29, -10, -3],
 [2, 56, 31, -32, 62],
 [2, 34, 12, -20, 6],
 [7, 43, 14, -22, 37],
 [8, -32, -26, 24, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, 23, -13, 7, -3],
 [18, -7, -3, 12, 7],
 [17, -26, 62, -5, 28],
 [-30, 41, -51, 24, -11],
 [-63, 47, -21, -3, -15]]

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


[User]
Find the rank of the matrix:
[[-34, 6, 58, 18, 24],
 [15, -33, 9, 21, 60],
 [-10, -25, 23, 7, 44],
 [-17, 23, -3, -19, -44],
 [-27, 25, 23, -5, -28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, 1, -19, -7, 55],
 [-40, 29, 25, 13, -25],
 [-34, 32, 16, 10, 5],
 [10, -16, 0, -2, -25],
 [-36, 31, 19, 11, -5]]

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[User]
Calculate the rank of matrix A where A =
[[0, -2, -13, -27, -14],
 [14, 16, -11, -78, 10],
 [12, -10, 16, 63, -16],
 [-30, -30, 30, 84, -24],
 [10, -28, 53, 57, -46]]

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


[User]
Find the rank of the matrix:
[[1, -1, -1, -3, -3],
 [1, -1, -1, -3, -3],
 [-2, 2, 2, 6, 6],
 [2, -2, -2, -6, -6],
 [5, -5, -5, -15, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -36, 12, -17, -29],
 [-34, 2, -15, -25, 28],
 [14, 32, -15, 25, 60],
 [28, 28, 6, 34, -16],
 [7, 19, 6, 14, -33]]

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


[User]
What is the rank of the matrix:
[[1, 7, -2, 2, -2],
 [16, -2, 5, 3, 8],
 [8, 32, 6, 2, -36],
 [-13, 2, -3, -3, -9],
 [31, 40, 8, 10, -25]]?

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[User]
What is the rank of the matrix:
[[12, -14, -42, 52, -26],
 [-9, -4, 3, -3, -7],
 [9, -2, -32, 8, -15],
 [12, -9, -63, -6, -21],
 [-15, -8, 8, 6, -13]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -6, 12, -6, -18],
 [-5, -10, 20, -10, -30],
 [-1, -2, 4, -2, -6],
 [-4, -8, 16, -8, -24],
 [-4, -8, 16, -8, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[11, 24, 10, -16, 27],
 [-18, -4, -12, -32, 20],
 [4, 4, 20, -66, 69],
 [42, -6, 10, 63, -48],
 [-21, 4, -14, -4, -4]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[4, 28, 16, 8, -28],
 [-4, -12, 4, -12, 12],
 [0, -4, -5, 1, 4],
 [-8, -48, -22, -18, 48],
 [-6, -2, 26, -22, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, -47, -35, 41, -19],
 [28, 28, 9, 25, -57],
 [-42, -1, -24, -48, 24],
 [-42, 14, -9, -63, -3],
 [-25, -17, 1, -20, 65]]

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


[User]
What is the rank of the matrix:
[[-6, 2, -5, -4, 4],
 [-27, 9, -20, -14, 19],
 [-45, 14, -24, -20, 33],
 [-30, 11, -36, -26, 18],
 [-28, 11, -40, -26, 16]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -2, -6, -19, 23],
 [-25, 17, -14, -40, 19],
 [5, 35, -10, -24, -23],
 [20, -34, 18, 49, -5],
 [5, -19, 8, 21, 4]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-66, 12, 0, 60, -6],
 [-2, -4, -24, 0, -22],
 [0, -12, -66, -5, -60],
 [50, -8, 6, -45, 10],
 [14, -8, -30, -15, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-17, -24, -10, 54, -18],
 [-15, 1, -2, -24, -21],
 [24, 14, 8, -12, 30],
 [12, 7, 4, -6, 15],
 [-28, -25, -12, 42, -33]]

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


[User]
Calculate the rank of matrix A where A =
[[42, -33, 8, 5, -34],
 [33, 33, 26, 14, 11],
 [-23, -39, 1, -49, -39],
 [15, 18, 24, -21, -15],
 [-14, 0, -22, 20, 18]]

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


[User]
Determine the rank of the following matrix:
[[-32, 4, -40, -31, -29],
 [-31, 15, -33, 32, -4],
 [16, -6, 19, -2, 8],
 [-5, 17, -17, 0, -8],
 [28, 2, 15, -45, -9]]

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


[User]
What is the rank of the matrix:
[[0, -9, 9, -17, -19],
 [4, 14, -2, -29, -52],
 [15, 15, -3, -2, 35],
 [7, 19, 7, -26, -54],
 [10, 10, 10, -8, 0]]?

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


[User]
What is the rank of the matrix:
[[-32, -32, -14, 17, -27],
 [28, 46, -8, -19, 9],
 [8, 63, -39, 12, -22],
 [36, 15, 51, 3, 57],
 [-23, -31, -34, -35, -40]]?

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