[User]
Compute the rank of the given 5x5 matrix:
[[-12, 54, -30, -3, -36],
 [-4, -12, 24, -8, 4],
 [-32, 54, 8, -27, -34],
 [-1, -3, -8, 0, 15],
 [-10, 24, 10, -9, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[78, 42, 18, 12, 62],
 [4, 13, -3, -2, 3],
 [-40, 14, -14, -60, -34],
 [0, -45, 10, 46, 2],
 [25, 16, 4, 8, 20]]

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


[User]
Find the rank of the matrix:
[[-12, -10, 15, 6, 11],
 [-46, -36, 49, 22, 27],
 [-27, -15, 45, 36, 12],
 [-32, -30, 35, 6, 35],
 [-3, -7, -12, -18, 2]]

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


[User]
What is the rank of the matrix:
[[-60, 0, -14, 16, -14],
 [-48, -7, -13, 9, -19],
 [30, 26, 29, 31, 13],
 [12, 17, 25, 35, -5],
 [18, 41, 36, 52, 18]]?

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


[User]
What is the rank of the matrix:
[[-5, 8, -1, 12, 0],
 [-25, 8, 19, 20, 24],
 [-30, -8, 36, 2, 42],
 [-10, -16, 22, -16, 24],
 [15, 16, -27, 14, -30]]?

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


[User]
Calculate the rank of matrix A where A =
[[-38, -22, -8, 14, 6],
 [-35, -27, -32, -33, 37],
 [-37, -25, -22, -19, 28],
 [13, 8, 4, -5, -2],
 [47, 32, 26, 5, -23]]

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


[User]
Calculate the rank of matrix A where A =
[[-33, -3, 49, 36, 14],
 [-36, -5, 51, 6, -65],
 [-17, -10, 26, 38, 67],
 [-25, 3, 7, -7, 5],
 [-22, 4, 20, -4, -34]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[48, 44, -26, -20, -56],
 [50, 34, 20, -12, -4],
 [-9, -13, 16, 6, 20],
 [31, 21, 9, -8, -8],
 [51, 29, 19, -12, -16]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -22, 12, -30, -22],
 [18, -25, -9, -11, 2],
 [-6, 24, -24, 5, 9],
 [40, -11, -3, 32, 27],
 [6, 11, -6, 15, 11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[17, -12, 34, 34, -42],
 [-4, 5, -10, -14, 14],
 [33, 25, -2, -23, -20],
 [20, 33, -30, -40, 6],
 [3, -1, 6, 1, -4]]

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


[User]
Determine the rank of the following matrix:
[[-16, -20, 20, -4, 4],
 [-12, -15, 15, -3, 3],
 [8, 10, -10, 2, -2],
 [24, 30, -30, 6, -6],
 [12, 15, -15, 3, -3]]

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


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

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[User]
Calculate the rank of matrix A where A =
[[-44, -58, -78, -16, 46],
 [23, 30, 75, 10, 9],
 [-5, 0, 41, 16, 53],
 [-10, -16, -16, 2, 18],
 [-28, -41, -56, -6, 30]]

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[User]
Calculate the rank of matrix A where A =
[[0, 34, -38, -38, 26],
 [-13, -15, -2, -8, 6],
 [41, 10, -22, -28, -13],
 [21, -17, -6, -16, -14],
 [-18, 1, -15, -19, 19]]

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[User]
Calculate the rank of matrix A where A =
[[-5, -3, 2, 43, 0],
 [-30, -46, 75, -14, 16],
 [30, 24, -42, 8, -24],
 [-18, 4, -2, 38, 22],
 [32, 36, -62, 12, -24]]

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

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


[User]
Find the rank of the matrix:
[[25, 1, 38, -20, -6],
 [-31, 17, -4, -7, 10],
 [-18, 7, 10, 5, 11],
 [38, 6, -20, 4, -26],
 [-49, 11, 20, -1, 28]]

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[User]
What is the rank of the matrix:
[[-23, -21, 17, 15, -10],
 [21, 6, -4, -25, 19],
 [-42, 36, 12, 12, 18],
 [-26, 3, 19, 0, 15],
 [-20, 54, -6, 2, 22]]?

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[User]
Find the rank of the matrix:
[[-4, -19, 21, 0, 16],
 [-24, 19, 25, -15, -35],
 [54, 21, -69, 36, 24],
 [48, 37, -41, 39, 11],
 [16, 6, -4, 15, 11]]

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[User]
Determine the rank of the following matrix:
[[32, -24, 0, -16, 12],
 [-14, 2, -9, -6, -9],
 [-5, 57, -3, 25, 27],
 [-9, -29, -39, -45, -27],
 [0, 23, -9, 3, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, 20, -6, -17, 12],
 [-6, -24, 12, -36, 24],
 [-47, 23, 49, 38, 57],
 [-32, -23, 27, 32, 11],
 [23, -1, -22, -67, 11]]

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


[User]
Find the rank of the matrix:
[[-17, -8, 6, 6, -24],
 [22, -30, 0, 48, -10],
 [44, -17, 0, 36, 20],
 [-29, 40, 30, -66, 0],
 [15, -1, -6, 6, 14]]

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


[User]
Find the rank of the matrix:
[[37, 2, 53, -19, 38],
 [-16, 14, -21, 20, -4],
 [-25, 34, -26, 22, 2],
 [8, 48, -36, -33, -32],
 [23, 42, 8, -3, 18]]

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


[User]
What is the rank of the matrix:
[[6, -24, -24, -24, -6],
 [6, 18, 3, 30, -15],
 [-15, 18, 33, 6, 24],
 [-13, -32, -2, -56, 31],
 [13, 4, -16, 20, -25]]?

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[User]
Determine the rank of the following matrix:
[[5, -1, 2, -5, -6],
 [40, 58, 6, -35, -26],
 [-39, -92, -10, 37, 9],
 [10, 13, 26, 24, -10],
 [22, 77, 8, -38, 11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 0, -25, -10, 10],
 [-28, -18, 25, 28, -16],
 [12, 12, 0, -12, 4],
 [12, 12, 0, -12, 4],
 [8, 12, 10, -8, 0]]

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


[User]
Determine the rank of the following matrix:
[[-46, 32, -66, 16, 12],
 [-17, 35, -21, 66, -55],
 [37, -22, 38, -6, -10],
 [-38, 7, -40, -28, 40],
 [0, -35, -8, -56, 36]]

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


[User]
Determine the rank of the following matrix:
[[-4, -3, 27, 24, 0],
 [16, -27, 3, 0, 12],
 [-8, 20, -20, -16, -8],
 [8, -20, 20, 16, 8],
 [-28, 44, 4, 8, -20]]

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


[User]
What is the rank of the matrix:
[[0, 12, 28, -15, 6],
 [44, -20, -10, -19, -54],
 [10, 20, 55, -35, 0],
 [-48, 12, -12, 33, 54],
 [-50, 20, 5, 25, 60]]?

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[User]
What is the rank of the matrix:
[[15, -9, 5, -1, -8],
 [14, 1, 15, -3, -4],
 [-16, -23, -45, -9, 8],
 [8, 22, 38, 20, -12],
 [-26, 2, -24, 3, 10]]?

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


[User]
Determine the rank of the following matrix:
[[-36, 8, -24, -24, 23],
 [-27, -9, -11, -11, 14],
 [-18, -4, -10, -10, 18],
 [-30, -8, -10, -10, 1],
 [-27, -5, -15, -15, 25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, -7, 7, -5, 12],
 [-34, 10, -9, 21, -6],
 [60, -36, 42, 8, 11],
 [-43, 31, -39, -8, -2],
 [35, -23, 23, 18, 12]]

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


[User]
Determine the rank of the following matrix:
[[7, -12, 20, 6, -15],
 [-46, 10, -2, -22, -50],
 [44, -4, 1, 13, 45],
 [11, 0, 7, -3, 0],
 [47, 3, 22, -12, 10]]

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[User]
Calculate the rank of matrix A where A =
[[26, -22, 7, -22, -20],
 [18, 76, 2, 4, -16],
 [-5, 26, 2, 3, 10],
 [-9, 35, -32, 29, -62],
 [11, 36, -26, 24, -68]]

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


[User]
Find the rank of the matrix:
[[2, 70, 61, -16, 24],
 [-3, -75, -66, 16, -26],
 [-46, -20, -38, 52, -22],
 [26, -35, -18, -18, -3],
 [-32, -40, -49, 40, -24]]

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


[User]
Find the rank of the matrix:
[[3, -9, -16, 2, 2],
 [-1, 1, 12, 18, -12],
 [-1, -3, 13, 27, -18],
 [-11, -1, 17, 5, 0],
 [-7, -7, -12, -20, 20]]

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


[User]
Determine the rank of the following matrix:
[[-22, 10, 30, -18, 3],
 [24, -16, -6, -2, -9],
 [-17, 11, 6, 0, 6],
 [2, 10, -60, 48, 12],
 [8, -8, 12, -12, -6]]

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


[User]
What is the rank of the matrix:
[[-18, -43, -42, 23, -20],
 [16, 39, 4, -15, 41],
 [2, -12, -34, 24, 13],
 [-8, 5, 8, 44, 81],
 [7, 20, 11, -29, -8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, 3, 2, 2, -27],
 [-14, 20, 36, -56, 3],
 [-20, -21, 1, 12, -12],
 [22, 26, 24, 24, -20],
 [30, 34, 28, -64, 36]]

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


[User]
What is the rank of the matrix:
[[66, -39, -76, -27, -27],
 [51, -27, -78, 4, -39],
 [-12, -5, 29, -39, 59],
 [24, -11, -18, -20, -20],
 [0, 0, -40, 18, -10]]?

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


[User]
Find the rank of the matrix:
[[-5, 4, -2, -5, 6],
 [20, -16, 8, 20, -24],
 [15, -12, 6, 15, -18],
 [10, -8, 4, 10, -12],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-10, -3, 15, -12, 1],
 [4, 4, -20, -12, 36],
 [18, 3, -15, 36, -33],
 [-4, 1, -5, -18, 29],
 [30, 9, -45, 36, -3]]

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


[User]
What is the rank of the matrix:
[[-32, -11, -12, 13, 17],
 [13, 32, 20, -2, -2],
 [2, 10, 21, -14, -1],
 [-20, -32, 18, -32, 2],
 [3, -11, -3, -5, -4]]?

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


[User]
What is the rank of the matrix:
[[9, 15, 9, -6, 16],
 [30, 47, -6, -28, 41],
 [-1, 47, -20, 2, 17],
 [13, 38, -8, -18, 13],
 [-29, -12, -16, 18, -44]]?

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


[User]
What is the rank of the matrix:
[[-7, 0, -36, 27, 41],
 [6, 0, 32, -14, -34],
 [0, 0, -6, -48, -6],
 [-3, 0, -13, 31, 20],
 [0, 0, -2, -16, -2]]?

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


[User]
Determine the rank of the following matrix:
[[21, -14, 40, -9, -11],
 [-12, 9, -17, -24, 4],
 [20, -15, 28, 28, -5],
 [-69, 58, -52, 9, -37],
 [27, -20, 39, 21, -6]]

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


[User]
Determine the rank of the following matrix:
[[-6, -7, 0, -5, -6],
 [23, 21, 21, 11, 9],
 [4, 3, 6, 1, 0],
 [24, 18, 36, 6, 0],
 [-15, -5, -45, 5, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[27, 12, -10, 16, -7],
 [26, 36, 9, 18, 36],
 [-53, -5, 27, 4, 14],
 [-41, -11, 19, -30, 18],
 [4, 3, 5, -17, 26]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, 23, -7, -27, -12],
 [4, 15, 25, 45, 44],
 [-42, 26, -27, -76, -63],
 [-49, -40, 45, -24, 1],
 [-18, -47, 48, 15, 37]]

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


[User]
What is the rank of the matrix:
[[1, 0, 0, -5, 7],
 [1, 15, -15, -11, 19],
 [3, -10, 10, -11, 13],
 [-6, 50, -50, 10, -2],
 [-3, 0, 0, 15, -21]]?

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


[User]
What is the rank of the matrix:
[[42, 36, 24, 16, 24],
 [51, 18, 24, -20, 12],
 [-43, 30, -3, 67, -21],
 [-12, 0, 6, -54, 30],
 [36, 54, 28, 46, 15]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, 48, -3, -15, 0],
 [-33, 34, 6, -18, -26],
 [-21, 14, 24, -12, -70],
 [57, -14, 0, 60, 38],
 [24, 9, 19, 38, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -7, -1, 25, 28],
 [-29, -19, 11, 1, -24],
 [55, 31, -41, -28, 13],
 [7, 9, 15, 11, 18],
 [1, 3, 9, 15, 20]]

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


[User]
Determine the rank of the following matrix:
[[-12, 1, 57, -42, 4],
 [15, -6, -2, -14, 0],
 [-60, 52, 32, 26, 2],
 [-3, -31, 13, 10, -2],
 [15, -23, -39, 45, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -34, 23, 28, -23],
 [0, -2, 3, 28, -3],
 [23, 26, -16, 4, 16],
 [23, 28, -19, -24, 19],
 [-9, -12, 9, 24, -9]]

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


[User]
Find the rank of the matrix:
[[5, -30, 19, -12, -1],
 [22, -1, -27, 30, 19],
 [-39, -23, 14, 66, 56],
 [8, 1, 6, -30, -22],
 [48, 11, -23, -42, -37]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -14, -5, 50, 31],
 [1, -1, 0, -5, -1],
 [-2, 20, 6, -44, -34],
 [2, 7, 3, -37, -20],
 [-1, -2, -1, 14, 7]]

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


[User]
Find the rank of the matrix:
[[71, -50, -2, 35, 13],
 [-89, 55, 8, -31, -10],
 [34, -35, 2, 29, 5],
 [-30, 5, 10, 11, 5],
 [9, -28, 2, 24, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 9, 0, 18, -15],
 [-30, -18, 0, -36, 30],
 [25, 15, 0, 30, -25],
 [0, 0, 0, 0, 0],
 [-20, -12, 0, -24, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -4, 29, -3, 31],
 [-12, -26, 10, -9, 2],
 [6, 0, 34, -2, 38],
 [3, -2, 23, -2, 25],
 [12, 20, 8, 6, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -22, -22, -2, -28],
 [12, 30, -42, -30, -24],
 [8, 20, -28, -20, -16],
 [-16, -26, 54, 34, 36],
 [7, 14, -24, -16, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -18, 15, -3, 12],
 [0, 0, 0, 0, 0],
 [15, 30, -25, 5, -20],
 [-3, -6, 5, -1, 4],
 [-18, -36, 30, -6, 24]]

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


[User]
Determine the rank of the following matrix:
[[6, -31, 17, 47, 55],
 [51, -5, 60, 1, 12],
 [15, 3, 17, -1, -11],
 [-9, -27, -1, 43, 43],
 [-51, 11, -60, -27, -40]]

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


[User]
Find the rank of the matrix:
[[-6, -10, 0, 3, 0],
 [-10, -8, 12, 4, 2],
 [9, 2, -18, -3, -3],
 [17, -2, -42, -5, -7],
 [-24, 12, 72, 6, 12]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[38, 12, 44, -20, -14],
 [-26, -48, -32, 44, 20],
 [3, -30, 2, 22, 7],
 [-2, 48, 0, -36, -12],
 [-12, -48, -16, 40, 16]]

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


[User]
Find the rank of the matrix:
[[48, -15, 36, 2, -22],
 [60, -30, 36, -2, -32],
 [-12, 20, 4, 6, 12],
 [-30, 10, -22, -1, 14],
 [24, 5, 28, 6, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[25, -25, 52, -19, 19],
 [14, -6, -10, -3, -28],
 [-17, -41, -1, -18, 32],
 [5, -31, -9, -7, 6],
 [-27, 5, -34, 2, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-38, 0, 59, 4, 21],
 [-56, 0, 28, 40, 62],
 [50, 0, -15, -40, -60],
 [-42, 0, 0, 36, 55],
 [34, 0, -13, -20, -37]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -12, -8, -4, 6],
 [-13, 42, 24, 22, -39],
 [8, -12, -4, -12, 24],
 [-12, 18, 6, 18, -36],
 [-7, 33, 21, 13, -21]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 28, -27, 14, -7],
 [-16, 38, 17, 24, 29],
 [8, -31, 5, 7, -18],
 [8, 18, -15, -48, 13],
 [19, -42, 48, 0, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-28, 0, 40, 10, 2],
 [-14, -5, -24, -19, 14],
 [32, 17, 10, -6, -27],
 [4, 3, 1, -3, -4],
 [-20, -6, 0, -2, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, -36, 40, -14, 14],
 [-20, 45, -43, 20, -29],
 [12, -29, 19, -24, 7],
 [44, -36, -16, 32, -62],
 [18, -18, -28, 14, -30]]

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[User]
Calculate the rank of matrix A where A =
[[5, -14, -14, -7, -12],
 [-14, 40, 44, 20, 29],
 [18, 22, -15, -46, 25],
 [-15, -40, 5, 45, -45],
 [6, 40, 16, -24, 33]]

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


[User]
Find the rank of the matrix:
[[-30, 8, -16, -11, 0],
 [-24, -20, -20, -4, 0],
 [6, 27, 11, -3, 0],
 [18, -51, -3, 15, 0],
 [42, 2, 26, 13, 0]]

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


[User]
Determine the rank of the following matrix:
[[-2, 3, -6, -3, -4],
 [-6, -11, -48, 11, -37],
 [8, -12, 24, 12, 16],
 [6, 15, 54, -15, 42],
 [6, -29, -12, 29, -13]]

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


[User]
Determine the rank of the following matrix:
[[-24, -17, -2, 20, -7],
 [25, -34, 12, -2, -45],
 [10, -8, 8, 2, -8],
 [6, -21, 14, 14, -15],
 [-8, -25, -2, 8, -27]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[41, -8, 27, 26, 0],
 [1, -55, -44, -27, -23],
 [56, -50, 6, -6, -46],
 [32, -1, 25, 25, 23],
 [22, -37, -11, -27, -53]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, 30, -26, 20, -38],
 [-10, 12, -8, 2, -2],
 [9, -12, 10, -7, 13],
 [-18, 21, -13, 1, 2],
 [2, -6, 10, -16, 34]]

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


[User]
What is the rank of the matrix:
[[12, -37, -14, 70, -1],
 [29, -6, 15, -46, 3],
 [25, -12, -4, -27, 10],
 [-19, 32, 36, -31, -18],
 [-23, 10, -27, 16, 9]]?

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[User]
Find the rank of the matrix:
[[4, 0, 20, -12, -16],
 [-6, 0, -30, 18, 24],
 [5, 0, 25, -15, -20],
 [-4, 0, -20, 12, 16],
 [-5, 0, -25, 15, 20]]

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


[User]
Find the rank of the matrix:
[[30, -45, -9, -24, -12],
 [-25, 42, 15, 17, 16],
 [-25, 30, -5, 25, 0],
 [-25, 36, 5, 21, 8],
 [15, -24, -7, -11, -8]]

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


[User]
What is the rank of the matrix:
[[-9, 6, -33, -6, -12],
 [-2, -2, -12, 2, -8],
 [-2, -5, -36, 14, -65],
 [-1, 13, 18, -15, 30],
 [0, -18, -12, 12, 6]]?

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


[User]
What is the rank of the matrix:
[[31, -6, 32, 14, -41],
 [-12, -16, -16, -22, 2],
 [17, -18, 4, -20, -37],
 [1, -38, 6, -17, -26],
 [-32, 20, -17, 16, 57]]?

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


[User]
Calculate the rank of matrix A where A =
[[-20, 8, 4, -32, 20],
 [26, -13, 0, 36, -21],
 [27, -29, 31, 4, 8],
 [25, -10, -5, 40, -25],
 [20, -21, 22, 4, 5]]

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


[User]
Determine the rank of the following matrix:
[[22, 38, 6, 4, -8],
 [17, 3, 21, 14, -18],
 [10, 12, 6, 4, -6],
 [20, 24, 12, 8, -12],
 [17, 32, 3, 2, -5]]

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[User]
What is the rank of the matrix:
[[-47, -18, 24, -7, -21],
 [7, 8, -1, -13, -1],
 [53, 10, -30, -11, 3],
 [15, -24, -17, -33, -41],
 [3, -2, -2, -15, -11]]?

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


[User]
Determine the rank of the following matrix:
[[-8, -16, -12, -16, 8],
 [-10, -20, -15, -20, 10],
 [-10, -20, -15, -20, 10],
 [-6, -12, -9, -12, 6],
 [4, 8, 6, 8, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 4, -13, 2, -3],
 [3, 37, 11, 23, -48],
 [-7, -1, 9, -3, 0],
 [11, 4, -15, 8, -3],
 [18, 1, -33, 16, 3]]

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


[User]
Find the rank of the matrix:
[[-7, -15, -16, -4, 29],
 [-30, -22, 12, -6, 26],
 [-3, -8, 7, -3, -6],
 [-9, -26, 7, -9, 0],
 [3, -8, -3, -3, -2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[31, -13, 0, 14, -10],
 [-9, -3, 0, -6, 30],
 [12, -10, 0, 4, 16],
 [44, -18, 0, 20, -16],
 [34, -12, 0, 16, -20]]

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[User]
Determine the rank of the following matrix:
[[8, 13, 15, 4, 8],
 [-20, -36, -34, 18, -34],
 [8, 10, 18, 28, -4],
 [0, -3, 3, 24, -12],
 [-14, -24, -25, 3, -19]]

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


[User]
Calculate the rank of matrix A where A =
[[15, -12, -6, 31, -34],
 [-1, 14, 18, -27, 36],
 [-44, 4, -24, -32, 20],
 [-3, -12, -18, 21, -30],
 [14, 2, 12, 4, 2]]

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


[User]
Find the rank of the matrix:
[[6, 19, 21, -15, -17],
 [39, 15, 11, 7, 3],
 [0, -67, -19, 7, 7],
 [42, -49, -11, 9, -19],
 [-3, -30, 7, -20, -38]]

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

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[User]
Calculate the rank of matrix A where A =
[[-13, -8, -7, 4, -5],
 [17, -22, 2, -30, -11],
 [46, 28, 34, 2, -4],
 [0, 19, 15, 0, -13],
 [-5, 22, 10, -4, -3]]

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

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[User]
Determine the rank of the following matrix:
[[24, -20, 33, -29, -18],
 [16, 46, -58, 50, 39],
 [1, -22, -10, -13, 65],
 [1, -26, 19, -8, -27],
 [-41, -86, 64, -68, -6]]

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


[User]
Determine the rank of the following matrix:
[[-29, 23, 5, 11, -16],
 [15, -20, -5, -35, 20],
 [-3, 25, 19, 13, 8],
 [6, -12, -12, 24, -18],
 [7, -1, 7, -27, 22]]

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


[User]
Find the rank of the matrix:
[[42, 0, 33, 25, 22],
 [-30, -22, -22, -32, 0],
 [33, -15, 27, 10, 28],
 [-15, 3, -12, -7, -10],
 [24, 26, 17, 31, -6]]

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


[User]
Find the rank of the matrix:
[[18, 11, -2, 2, -24],
 [21, -15, 15, -3, -6],
 [-9, -7, 13, -3, 23],
 [-14, -40, -2, -4, 23],
 [-24, -4, -8, 0, 20]]

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


[User]
Determine the rank of the following matrix:
[[11, 7, -16, 11, -15],
 [-14, -22, 28, -14, 30],
 [7, 11, -14, 7, -15],
 [-8, -16, 18, -8, 20],
 [25, 5, -30, 25, -25]]

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


[User]
Find the rank of the matrix:
[[0, -60, 0, 30, 10],
 [38, -18, -19, 28, -16],
 [8, 12, -4, -2, -6],
 [-50, 0, 25, -25, 25],
 [36, -36, -18, 36, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -24, 6, 4, -46],
 [51, -9, -9, -11, 17],
 [-72, 54, -45, -12, 9],
 [-15, -6, 36, -2, 39],
 [21, 36, -36, 32, 13]]

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


[User]
Determine the rank of the following matrix:
[[-6, -4, -2, -10, 10],
 [-12, -6, 42, 66, -48],
 [17, 10, -25, -29, 17],
 [37, 23, -26, -10, -5],
 [7, 3, -36, -60, 45]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, -34, 34, -32, -49],
 [7, -24, 8, -35, -24],
 [4, -6, -29, -6, 33],
 [25, 8, 5, 11, 26],
 [45, -6, -10, -7, 51]]

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


[User]
Determine the rank of the following matrix:
[[-9, 0, 5, 14, 5],
 [-20, -4, 12, 16, 0],
 [13, 8, -9, 10, 15],
 [-28, -2, 16, 36, 10],
 [16, 5, -10, -6, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-13, 19, 27, 7, 0],
 [-11, 23, -3, 9, -30],
 [-35, -11, 37, -9, 46],
 [-10, -27, -26, -20, 5],
 [-48, 11, 16, 14, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[-32, 28, -28, -8, 42],
 [12, -33, 22, 33, -6],
 [-10, 68, -35, -48, 7],
 [-7, -43, 12, 5, -3],
 [10, -32, 21, 36, -1]]

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


[User]
What is the rank of the matrix:
[[-9, -12, 19, -41, 18],
 [-12, 14, -18, 17, -6],
 [51, -38, 41, -15, 4],
 [12, -35, 15, -23, 27],
 [3, 13, -26, 44, -15]]?

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

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[User]
Determine the rank of the following matrix:
[[44, 20, 5, -33, 32],
 [9, -12, -19, -17, 11],
 [-27, -6, -25, 2, -10],
 [-22, -34, 14, 11, -31],
 [-20, 4, 10, 18, -17]]

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


[User]
Determine the rank of the following matrix:
[[-13, -21, -40, -1, 8],
 [29, -37, 52, -47, -42],
 [-19, 31, -12, 33, 18],
 [19, 0, -30, -45, 5],
 [-42, -13, -30, 30, 1]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[32, -32, -13, -69, 3],
 [6, -5, -3, -12, 1],
 [-39, 9, 34, 57, -14],
 [-43, -12, 42, 36, -42],
 [43, -5, -35, -54, 29]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 8, 27, 24, -10],
 [3, 38, -6, -1, 35],
 [-13, -23, 36, 27, -41],
 [3, -30, 39, 18, -48],
 [-9, 22, 8, 13, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 0, 12, 2, -8],
 [20, 0, -30, -5, 20],
 [-4, 0, 6, 1, -4],
 [-24, 0, 36, 6, -24],
 [0, 0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[-2, -6, 4, -8, -4],
 [-20, 7, 8, -21, -17],
 [-26, -23, 30, 11, 39],
 [48, 7, -34, -5, -29],
 [4, 26, -16, 30, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, -9, -1, 32, -4],
 [-12, 8, 22, 18, 12],
 [2, 7, 13, 2, 8],
 [24, 14, 16, -18, 12],
 [-6, 4, 11, 9, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, -28, 11, 15, 13],
 [12, 12, -15, -3, -9],
 [17, 20, -7, -11, -9],
 [10, 12, -3, -7, -5],
 [-9, -4, 35, -9, 13]]

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


[User]
Find the rank of the matrix:
[[-24, 16, -4, 12, -37],
 [-33, -26, -15, -11, -19],
 [16, 67, 66, 32, 10],
 [63, -11, -10, -19, 17],
 [-13, -43, -12, -31, -25]]

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


[User]
Find the rank of the matrix:
[[18, 16, -4, -8, -18],
 [-30, 4, 5, 19, -3],
 [-22, -4, 12, 18, 8],
 [-18, -10, 5, 10, 12],
 [2, 40, 24, 24, -34]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 0, -18, 15, -12],
 [-15, 0, 30, -25, 20],
 [-9, 0, 18, -15, 12],
 [-3, 0, 6, -5, 4],
 [12, 0, -24, 20, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 0, 6, 0, 6],
 [12, 0, -24, 0, -24],
 [18, 0, -36, 0, -36],
 [6, 0, -12, 0, -12],
 [-9, 0, 18, 0, 18]]

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[User]
Calculate the rank of matrix A where A =
[[16, 9, -4, -12, -28],
 [-72, -7, 12, 50, 10],
 [50, -32, 16, -68, 18],
 [20, 21, -20, 12, 8],
 [34, 7, -4, -29, -31]]

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


[User]
Determine the rank of the following matrix:
[[-7, -22, -8, -23, 30],
 [18, 30, 6, 27, -48],
 [35, 32, -10, 36, -64],
 [-3, 8, 2, 20, -6],
 [-21, -28, 2, -34, 48]]

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[User]
Calculate the rank of matrix A where A =
[[67, 13, 69, 58, -44],
 [17, 22, 1, -1, -22],
 [-27, -17, -11, -12, 28],
 [38, 23, 14, 17, -40],
 [14, 13, -6, -7, -15]]

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


[User]
Determine the rank of the following matrix:
[[-36, -11, -7, -39, 23],
 [-6, 9, -12, 0, 6],
 [24, -26, 38, 6, -22],
 [24, 4, 8, 24, -16],
 [-18, -33, 24, -36, 6]]

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


[User]
What is the rank of the matrix:
[[15, 30, -15, -25, 5],
 [-18, -36, 18, 30, -6],
 [18, 36, -18, -30, 6],
 [15, 30, -15, -25, 5],
 [-9, -18, 9, 15, -3]]?

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


[User]
Calculate the rank of matrix A where A =
[[-12, 8, -14, 26, -16],
 [22, -35, -8, -29, 30],
 [24, -11, 3, -17, 2],
 [-62, 34, 3, 37, -4],
 [0, 11, 3, 8, -14]]

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


[User]
What is the rank of the matrix:
[[15, 6, -1, -5, 6],
 [-9, -3, 0, 4, -3],
 [0, -3, 3, -5, -3],
 [-12, 3, -7, 17, 3],
 [-9, -3, 0, 4, -3]]?

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


[User]
Find the rank of the matrix:
[[-35, -42, -27, -34, 15],
 [-18, 30, -24, -30, -6],
 [-27, -33, -66, -66, -4],
 [-20, -36, -18, -22, 15],
 [34, 20, 32, 45, -32]]

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


[User]
Find the rank of the matrix:
[[18, 65, 22, 14, -41],
 [-15, -25, 25, 5, -5],
 [10, 42, -14, -6, -6],
 [18, 3, -57, -15, 33],
 [-11, -1, -4, -10, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -15, 3, 3, 18],
 [21, 6, -7, 6, 19],
 [-15, -33, 6, -3, -9],
 [25, 16, 37, -10, 13],
 [-5, 6, -47, 16, 3]]

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


[User]
What is the rank of the matrix:
[[-5, 11, 24, -11, 26],
 [6, -16, 15, -6, -9],
 [24, 9, -20, 0, 0],
 [-39, 9, 15, -1, 1],
 [-14, -11, 21, 0, 9]]?

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


[User]
What is the rank of the matrix:
[[13, -13, 10, 29, 12],
 [-22, -25, 5, -10, -3],
 [48, 14, -20, 28, 7],
 [-58, 20, 38, -34, -6],
 [23, 20, -7, 11, 3]]?

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


[User]
What is the rank of the matrix:
[[-54, 36, 14, 4, -40],
 [-31, 20, 27, 17, -27],
 [30, -28, 0, 3, 7],
 [34, -28, -10, -4, 16],
 [-32, 22, 18, 10, -24]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -6, -24, 18, 24],
 [-3, 21, 30, -15, -30],
 [14, 25, -17, 29, 17],
 [-10, -5, 25, -25, -25],
 [-6, -12, 6, -12, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -12, 24, 8, 20],
 [-6, 18, -36, -12, -30],
 [2, -6, 12, 4, 10],
 [16, -12, 8, 8, 40],
 [3, -9, 18, 6, 15]]

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


[User]
Find the rank of the matrix:
[[40, 18, 51, -2, -28],
 [20, 12, 14, -16, -2],
 [-19, -49, 22, 32, -71],
 [15, 7, -6, -22, 4],
 [28, -8, 24, -48, -36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [8, -12, 4, -24, -24],
 [4, -6, 2, -12, -12],
 [2, -3, 1, -6, -6],
 [12, -18, 6, -36, -36]]

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


[User]
Find the rank of the matrix:
[[-11, -9, 4, 15, -13],
 [40, -10, -38, -4, -36],
 [19, -9, -23, 0, -49],
 [38, 18, -37, -11, -48],
 [-59, -17, 52, 15, 35]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 12, -5, -13, -3],
 [9, 7, 2, -2, -1],
 [-31, -23, -8, 7, 4],
 [-11, -5, -2, 6, 3],
 [17, 9, -3, -13, -4]]

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


[User]
What is the rank of the matrix:
[[12, -12, -30, -15, -26],
 [-39, 54, -48, 19, 54],
 [-9, -52, -30, -20, -25],
 [-26, -60, -36, -12, 20],
 [18, 16, -42, -15, -42]]?

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[36, -18, 24, -24, -16],
 [-19, 6, -8, 22, 10],
 [-13, 6, -8, 10, 6],
 [3, 0, 0, -6, -2],
 [-13, -3, 4, 34, 10]]

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


[User]
Find the rank of the matrix:
[[-2, 16, 2, 20, -7],
 [-14, -18, 14, -55, 3],
 [-34, 42, 34, -5, -27],
 [14, 8, -14, 40, 1],
 [-34, 42, 34, -5, -27]]

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


[User]
What is the rank of the matrix:
[[-2, -38, 6, -42, -10],
 [6, 9, -23, 11, -12],
 [-6, -9, 43, -6, 5],
 [-7, 26, 16, 24, 33],
 [0, 0, 0, 0, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-20, -20, 0, 0, 15],
 [21, 0, 9, 0, -3],
 [-6, -48, 18, 0, 30],
 [-13, 8, -9, 0, -3],
 [11, 32, -9, 0, -21]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, -9, 20, -13, 20],
 [10, -12, 8, 20, -34],
 [15, -13, 12, 15, -26],
 [20, -15, 16, 13, -23],
 [20, -11, 16, 1, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -30, 18, 6, -36],
 [13, 59, 17, 24, 13],
 [9, -54, 14, -10, -33],
 [-3, 30, -4, 29, -15],
 [-11, 2, -16, -15, 25]]

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


[User]
What is the rank of the matrix:
[[4, -4, 40, -50, -9],
 [-14, -2, -10, 10, 17],
 [-60, -30, 21, -39, 60],
 [1, 7, 29, -36, 0],
 [1, 1, 20, -25, -2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[46, 32, 50, 50, 15],
 [16, -12, -12, 88, -69],
 [-13, 44, 40, -57, 54],
 [-25, 10, 8, -29, -12],
 [13, -40, -32, -7, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -7, -33, 24, 21],
 [8, -39, 31, -8, 29],
 [-2, -25, 33, -16, 9],
 [-18, 5, 26, -24, -26],
 [54, 44, -30, 24, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 32, -32, -2, 4],
 [4, -29, 10, -13, 3],
 [-29, 35, 12, -32, -31],
 [28, -19, -7, 38, 23],
 [3, 9, -6, 12, 3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[31, -5, 26, -34, -8],
 [-5, -2, 17, 30, -13],
 [-7, -26, -47, -28, 35],
 [40, -40, -5, -37, 41],
 [6, 39, 72, 35, -64]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[29, 18, 31, 42, -22],
 [24, -2, 0, 15, 5],
 [-7, 11, -20, -30, 30],
 [-9, -3, 18, 15, -27],
 [18, 31, 15, 13, 3]]

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


[User]
Find the rank of the matrix:
[[18, -27, 5, 4, -2],
 [20, -14, 6, 8, -24],
 [36, -26, 18, 20, 20],
 [-20, 21, -9, -9, -13],
 [-54, 34, -22, -27, 21]]

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


[User]
Determine the rank of the following matrix:
[[18, -34, -7, 10, -7],
 [-2, 6, 2, -1, 2],
 [10, -10, 1, 6, 1],
 [4, -12, -4, 2, -4],
 [18, 46, 37, 14, 37]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-61, 18, -15, 25, -2],
 [-20, 15, 6, -10, 23],
 [9, 3, 9, -15, 15],
 [1, 12, 15, -25, 32],
 [-24, 12, 0, 0, 12]]

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


[User]
Find the rank of the matrix:
[[-40, -42, 26, -68, 8],
 [-30, 33, 14, 30, 10],
 [30, 39, -23, 60, -10],
 [-12, -45, 18, -60, 12],
 [-2, -27, 8, -34, 6]]

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


[User]
What is the rank of the matrix:
[[-24, 12, 24, -40, -4],
 [-16, -6, 23, -29, 9],
 [-20, 60, -5, -25, -45],
 [-8, 18, 1, -11, -13],
 [0, 18, -9, 3, -15]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, 24, -3, 2, 19],
 [18, -5, -13, 13, 62],
 [-17, 6, 11, 4, -1],
 [10, -17, -18, 19, 0],
 [-6, -25, 5, 9, 9]]

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


[User]
Find the rank of the matrix:
[[30, -12, -9, -24, -6],
 [-4, -8, 50, 8, 8],
 [20, 14, -37, -17, -18],
 [-26, 4, 8, 20, 9],
 [2, 36, -26, 0, -23]]

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


[User]
Determine the rank of the following matrix:
[[-7, 20, -4, 13, -15],
 [30, -2, 15, 9, -53],
 [10, 28, -29, -62, 54],
 [42, 12, 12, -46, 22],
 [-3, 20, -27, -13, -9]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-53, 14, 19, -4, -60],
 [18, -5, -37, 29, 7],
 [16, -33, -21, 38, 33],
 [6, 1, 0, -39, 30],
 [26, -23, 49, 13, 33]]

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


[User]
Calculate the rank of matrix A where A =
[[-43, -48, -5, -12, 39],
 [-26, -72, -68, 28, 4],
 [17, -12, -5, 6, -9],
 [16, 30, 26, -9, -6],
 [33, -6, -29, 25, -33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, 12, -2, -5, 15],
 [-19, 5, -3, -8, 9],
 [16, -36, 4, -2, -39],
 [24, 12, 4, 16, 6],
 [-29, -7, 21, 4, -18]]

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


[User]
Determine the rank of the following matrix:
[[23, -15, 24, 21, 29],
 [17, 30, -21, 12, 5],
 [3, -5, 6, 3, 5],
 [19, 15, -6, 15, 13],
 [-3, 5, -6, -3, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -17, 0, 3, -6],
 [18, 3, 0, 3, -36],
 [27, -12, 0, 6, -45],
 [-18, 30, 0, -6, 18],
 [-25, 16, 0, -6, 39]]

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


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

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


[User]
Find the rank of the matrix:
[[11, 4, 2, 6, -13],
 [-15, 10, -16, -31, 13],
 [3, -21, 10, 28, 9],
 [30, 33, -34, -15, -8],
 [10, -38, 38, 60, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 16, 25, -4, -18],
 [-36, 6, -26, 13, 44],
 [-4, 4, 7, 21, -16],
 [22, -1, 22, -13, -31],
 [40, -12, 16, -12, -36]]

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


[User]
What is the rank of the matrix:
[[-17, 17, 16, 7, -5],
 [-9, 11, 8, 3, -5],
 [4, -20, 0, 4, 20],
 [33, -12, -36, -21, -15],
 [12, 8, -16, -12, -20]]?

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


[User]
Determine the rank of the following matrix:
[[-50, 37, -25, -10, -37],
 [-64, 56, -10, -18, -28],
 [48, -51, -15, 18, 3],
 [22, -35, -25, -10, 35],
 [-66, 48, -30, -24, -24]]

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


[User]
What is the rank of the matrix:
[[-68, 54, 25, -5, 29],
 [9, -2, -9, -44, 29],
 [-2, 23, -9, -32, -12],
 [29, -42, -3, 14, 15],
 [-43, 41, 3, -9, 8]]?

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


[User]
What is the rank of the matrix:
[[33, 33, -66, -12, 45],
 [14, 34, -58, -1, 50],
 [42, -2, 0, -33, -20],
 [21, 25, -27, -17, 24],
 [-22, -34, 59, 7, -47]]?

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


[User]
Determine the rank of the following matrix:
[[-12, 12, -8, -8, 24],
 [3, 12, -11, 4, 21],
 [-12, -3, 5, -10, -3],
 [15, 0, -3, 12, -3],
 [-5, -15, 14, -6, -26]]

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


[User]
What is the rank of the matrix:
[[68, -34, -2, -20, -10],
 [-6, 2, 0, -7, 22],
 [-52, 32, 0, 20, -11],
 [-42, 27, -1, 4, 17],
 [-12, -28, 12, 32, -17]]?

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


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

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


[User]
What is the rank of the matrix:
[[21, -9, 30, -21, -6],
 [66, -18, 48, 6, -60],
 [-42, 10, -24, -14, 44],
 [9, -1, 0, 11, -14],
 [-45, 13, -36, 1, 38]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -2, -6, 54, 48],
 [4, 4, 6, -22, -20],
 [10, 22, 27, -35, -34],
 [12, 27, 33, -41, -40],
 [-4, 2, 0, 32, 28]]

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


[User]
Determine the rank of the following matrix:
[[2, -54, -26, 26, -8],
 [37, 0, 14, -46, -2],
 [-2, 24, -20, -10, -3],
 [-8, -18, 30, -16, 59],
 [-34, -17, -23, 27, 35]]

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


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

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


[User]
Find the rank of the matrix:
[[-15, -24, 6, 3, 12],
 [-25, -46, 0, 5, 18],
 [-31, -53, 9, 5, 25],
 [32, -19, -55, -46, -5],
 [-29, 6, 40, 37, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 0, -9, 12, -12],
 [0, 0, 0, 0, 0],
 [2, 0, -6, 8, -8],
 [-6, 0, 18, -24, 24],
 [-1, 0, 3, -4, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[19, 26, -10, -4, 12],
 [4, 44, -4, 8, 12],
 [-12, 51, 3, 18, 9],
 [11, -1, -5, -6, 3],
 [11, 60, -8, 8, 18]]

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


[User]
What is the rank of the matrix:
[[-25, -25, 10, -15, 15],
 [-1, -5, -2, -13, 15],
 [21, 25, -6, 25, -27],
 [15, 15, -6, 9, -9],
 [1, 5, 2, 13, -15]]?

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


[User]
Determine the rank of the following matrix:
[[-13, -7, 6, -6, -8],
 [-3, 33, -8, -51, 54],
 [6, 6, 34, 39, -24],
 [10, -14, 32, 66, -52],
 [-2, 34, -14, -57, 60]]

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


[User]
Determine the rank of the following matrix:
[[-11, 19, -12, 29, 39],
 [52, -6, -10, 48, 38],
 [21, -10, -21, -17, -20],
 [-14, 17, -25, 4, 7],
 [50, -29, -17, -22, -24]]

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


[User]
Find the rank of the matrix:
[[22, -11, -4, 2, 2],
 [6, 1, 4, 2, -14],
 [24, -7, 2, 4, -16],
 [21, -13, -7, 1, 11],
 [-9, 4, 1, -1, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-32, -20, 16, -26, 15],
 [4, -20, -2, -8, -30],
 [-16, -20, 8, -18, -5],
 [8, 24, -4, 16, 20],
 [32, 12, -16, 22, -25]]

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


[User]
Find the rank of the matrix:
[[56, -14, 12, 35, 22],
 [34, 7, 18, 26, 36],
 [23, 1, 27, 51, 48],
 [-31, -8, -7, -24, -27],
 [-15, 12, -39, -36, -39]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, -15, -24, -9, 30],
 [5, -5, -2, -5, 0],
 [-18, -10, -16, -6, 20],
 [-12, 5, -1, 6, 5],
 [22, 20, 26, 14, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-47, -28, -47, 39, -45],
 [47, 50, 31, -47, 15],
 [-13, 7, -7, -14, -24],
 [-18, -3, -1, 27, 21],
 [46, 26, 35, -81, -12]]

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


[User]
Find the rank of the matrix:
[[36, 9, -26, -18, 37],
 [-1, 4, -1, -19, 11],
 [-36, -27, 13, -9, -23],
 [29, 28, -7, 11, 17],
 [-51, -30, 20, -24, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -50, 12, 45, -43],
 [-12, 9, 0, 2, 12],
 [12, 54, 12, -51, 51],
 [32, 43, -12, -43, 35],
 [0, -30, 0, 20, -30]]

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


[User]
Find the rank of the matrix:
[[-29, 31, -22, -6, 13],
 [12, 13, 27, -22, 2],
 [13, -21, 36, 10, -18],
 [-17, -15, 32, 34, -10],
 [13, -12, 25, 10, 16]]

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


[User]
Find the rank of the matrix:
[[10, 10, -5, 15, 20],
 [18, 10, 33, -39, -12],
 [0, 12, 15, -39, -12],
 [-17, 11, -41, 33, 29],
 [16, 24, 15, -25, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 8, 43, 35, 61],
 [1, 15, 10, 16, -35],
 [2, -6, 34, 24, -2],
 [1, 33, -29, -8, 7],
 [-2, -10, -10, -12, -10]]

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


[User]
Find the rank of the matrix:
[[22, -24, -28, 26, 12],
 [-1, 12, -6, 1, -2],
 [2, 6, -8, 4, 0],
 [4, -3, -6, 5, 2],
 [18, -21, -22, 21, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 12, 6, -36, -24],
 [4, -8, -4, 24, 16],
 [0, 0, 0, 0, 0],
 [4, -8, -4, 24, 16],
 [3, -6, -3, 18, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 43, -9, 15, -37],
 [5, -17, 7, -7, 14],
 [-1, -18, -23, -6, 20],
 [-9, 2, -31, -30, 2],
 [12, -11, 40, 15, 4]]

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


[User]
Determine the rank of the following matrix:
[[5, -26, 24, -7, -22],
 [-18, 41, 22, 7, 53],
 [-66, 25, 28, 5, -5],
 [-10, 18, 3, -9, 10],
 [-5, -3, 5, -11, -13]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 6, -27, 39, 17],
 [7, -14, -28, -39, -29],
 [24, 12, -12, -6, 6],
 [10, 26, 34, 23, 33],
 [6, -18, -57, 3, -19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -22, -2, -12, 4],
 [30, 4, 9, 40, 38],
 [3, 6, -39, -3, -6],
 [-18, -27, -72, -57, -36],
 [32, -22, -29, 16, 34]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, 7, 21, 13, 31],
 [-7, -14, 10, -29, -5],
 [-30, -13, 24, -1, 32],
 [-13, 13, 15, -44, -22],
 [-1, 22, -3, 19, 2]]

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


[User]
Find the rank of the matrix:
[[10, 0, 0, -5, -15],
 [10, 0, 0, -5, -15],
 [-10, 0, 0, 5, 15],
 [10, 0, 0, -5, -15],
 [-4, 0, 0, 2, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[18, 24, 7, 33, -37],
 [16, 3, 16, 11, -6],
 [-2, 9, -7, 8, -13],
 [30, -15, 41, 0, 19],
 [2, 21, -9, 22, -31]]

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


[User]
What is the rank of the matrix:
[[6, -10, 12, 37, 30],
 [36, 28, -12, 2, 24],
 [-8, -16, 12, 24, 12],
 [-14, 21, 9, -21, 6],
 [12, -65, -21, 36, -42]]?

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


[User]
Determine the rank of the following matrix:
[[5, -27, 30, 29, -14],
 [7, -31, 52, 47, -22],
 [25, 48, 1, -32, 43],
 [1, 29, -29, -44, 39],
 [12, -48, 36, 30, -6]]

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


[User]
Find the rank of the matrix:
[[31, -22, -49, 1, -35],
 [-4, -19, 37, -7, -9],
 [0, 8, -29, -14, 19],
 [-15, 26, 27, 0, 46],
 [-24, 13, -34, -7, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -23, 5, -1, -7],
 [-19, 18, 25, 9, -11],
 [-14, -28, 4, -17, -8],
 [-7, -19, -18, -26, 6],
 [-18, -43, 15, -16, -17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 36, -42, 10, 8],
 [-34, 26, 43, -2, -29],
 [-26, -4, 61, -4, -24],
 [-16, 32, -5, -31, -39],
 [-6, 8, 4, 7, 1]]

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

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


[User]
Find the rank of the matrix:
[[-9, -28, -9, -23, -24],
 [-17, 0, -17, -3, -36],
 [3, 15, 3, 12, 9],
 [-16, -12, -16, -12, -36],
 [3, -36, 3, -27, 0]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -6, 4, -1, -4],
 [-15, -30, 20, -5, -20],
 [9, 18, -12, 3, 12],
 [18, 36, -24, 6, 24],
 [-18, -36, 24, -6, -24]]

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


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

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


[User]
Determine the rank of the following matrix:
[[26, 30, -18, 10, -13],
 [-5, 25, -10, 25, -10],
 [-13, 1, 2, 9, 0],
 [0, 0, 0, 0, 0],
 [-27, -25, 16, -5, 11]]

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


[User]
Find the rank of the matrix:
[[23, 14, -5, -35, 28],
 [-34, -10, -44, 18, 11],
 [20, 18, 26, 0, -21],
 [10, 54, -15, -12, 16],
 [53, 12, 3, -37, -9]]

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


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

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[User]
Determine the rank of the following matrix:
[[-31, -30, 20, -42, -2],
 [41, 4, -30, 33, 30],
 [3, 28, -46, 21, -22],
 [-21, 30, -36, -19, -22],
 [5, -42, 41, 4, 14]]

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


[User]
Determine the rank of the following matrix:
[[59, -1, 43, 59, 57],
 [-15, 21, -16, -20, -23],
 [-16, -28, -10, -10, -14],
 [-20, 10, -14, -26, -10],
 [35, 5, 3, 15, 19]]

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


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

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


[User]
Find the rank of the matrix:
[[2, -10, -14, -13, 17],
 [-6, 7, 27, 32, 26],
 [20, -11, -20, -36, -9],
 [28, 8, 44, 18, 18],
 [-14, 3, -12, -1, -22]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -18, -36, 12, 6],
 [0, 0, 0, 0, 0],
 [-6, -9, -18, 6, 3],
 [6, 9, 18, -6, -3],
 [8, 12, 24, -8, -4]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-2, 8, 12, -10, 8],
 [1, -4, -6, 5, -4],
 [-3, 12, 18, -15, 12],
 [-5, 20, 30, -25, 20]]

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


[User]
What is the rank of the matrix:
[[-37, -10, -20, 25, -12],
 [-30, -17, -16, 2, -57],
 [11, 18, 24, 1, -10],
 [-3, -29, -37, -12, 29],
 [1, 1, -7, 10, 43]]?

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


[User]
Determine the rank of the following matrix:
[[2, 39, -8, -22, -46],
 [-27, -53, 44, -23, 14],
 [35, -34, 3, 3, 25],
 [24, -36, -2, 32, 40],
 [42, -19, 8, -14, -18]]

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


[User]
Determine the rank of the following matrix:
[[-20, -4, 32, -10, 20],
 [63, 70, 12, -7, 9],
 [-26, -40, -24, 32, -22],
 [-50, -54, -40, 18, -34],
 [19, 17, -32, 8, -25]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, -9, -18, 31, -19],
 [1, 16, 19, 22, -19],
 [56, 14, -4, -20, -39],
 [-5, 4, 12, 11, -1],
 [41, -21, -32, -11, -21]]

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


[User]
Determine the rank of the following matrix:
[[-22, 36, -10, 44, -6],
 [10, -40, 1, -42, 11],
 [24, -21, 6, -24, -27],
 [59, -3, 41, -16, -27],
 [4, -20, -14, -4, -46]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, -53, -2, 16, 31],
 [22, 22, 0, 18, -2],
 [9, 36, 30, -24, -9],
 [-38, -25, -2, -12, -1],
 [0, -1, 46, -40, 5]]

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[User]
Calculate the rank of matrix A where A =
[[-16, 0, 24, -8, 4],
 [-14, -15, -24, -22, -24],
 [18, 3, -18, 12, 1],
 [14, 3, -12, 10, 2],
 [-16, 6, 42, -2, 15]]

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[User]
Calculate the rank of matrix A where A =
[[56, -84, -12, -32, 28],
 [19, -28, -23, 16, -21],
 [-21, 24, 5, -10, 13],
 [-5, 20, -15, 60, -65],
 [2, -16, -2, -36, 38]]

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


[User]
What is the rank of the matrix:
[[18, 12, 24, 18, -36],
 [-19, -11, -2, 21, -32],
 [-16, -10, -12, 0, 4],
 [28, 17, 14, -12, 14],
 [7, 5, 14, 15, -28]]?

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[User]
Calculate the rank of matrix A where A =
[[-10, -25, 15, 0, 30],
 [18, -9, -29, -20, -42],
 [1, 43, 0, 15, -12],
 [15, -30, -25, -25, -30],
 [-13, 35, 22, 25, 24]]

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


[User]
What is the rank of the matrix:
[[10, 30, -27, 19, 0],
 [10, 20, -34, 8, 13],
 [-25, -16, -4, -39, 22],
 [25, 16, -52, 11, 27],
 [-5, -6, -37, -28, 38]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[10, -10, 25, 10, -20],
 [16, 12, 6, 20, -12],
 [7, -42, 60, 2, -39],
 [-4, 32, -44, 0, 28],
 [16, 12, 6, 20, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[30, -36, 24, 12, -30],
 [15, -18, 12, 6, -15],
 [-20, 24, -16, -8, 20],
 [-25, 30, -20, -10, 25],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[-9, 12, -7, 5, 9],
 [-4, 18, -20, 31, 28],
 [-20, 28, 6, -28, -16],
 [-39, 8, -17, 53, 15],
 [-5, -30, -14, 45, 27]]?

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


[User]
Determine the rank of the following matrix:
[[21, -3, 6, 2, 20],
 [18, -30, 36, -12, 24],
 [6, -18, 21, -8, 10],
 [-18, -2, 0, -4, -16],
 [6, 22, -24, 12, 0]]

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


[User]
Find the rank of the matrix:
[[5, -11, 10, 33, -31],
 [29, -3, 6, -7, -7],
 [36, 11, 14, -7, 0],
 [-21, 6, -14, -24, 27],
 [-19, 7, -21, -45, 41]]

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


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

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


[User]
What is the rank of the matrix:
[[24, 24, 8, 9, -21],
 [0, 24, -24, -9, -3],
 [-15, 10, -30, -15, 10],
 [-36, -32, -16, -15, 31],
 [-3, -6, 2, 0, 3]]?

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[User]
Calculate the rank of matrix A where A =
[[13, -1, -4, 7, -8],
 [-27, 23, 20, -33, 32],
 [7, 23, 11, -17, 13],
 [3, 39, 21, -33, 27],
 [-7, -23, -11, 17, -13]]

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[User]
Calculate the rank of matrix A where A =
[[5, -11, 1, 51, 26],
 [65, -8, 43, -12, 23],
 [-49, 5, -32, -10, -11],
 [31, 3, 13, 52, 28],
 [9, -13, 12, -30, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 6, 5, 5, 1],
 [-9, -18, -15, -15, -3],
 [0, 0, 0, 0, 0],
 [18, 36, 30, 30, 6],
 [15, 30, 25, 25, 5]]

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


[User]
What is the rank of the matrix:
[[-25, -20, -25, -15, 25],
 [25, 20, 13, 11, -27],
 [-15, -12, 21, 3, 21],
 [-20, -16, -26, -14, 19],
 [15, 12, -39, -9, -24]]?

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


[User]
Determine the rank of the following matrix:
[[37, -7, 17, -11, 15],
 [-22, 61, -74, -22, 0],
 [30, 1, -33, 18, -25],
 [1, 33, -12, -27, 24],
 [-13, 7, 33, 39, -7]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-3, 0, 43, 29, -16],
 [7, -3, -21, -24, -7],
 [36, -6, -66, 0, 42],
 [-5, -1, 1, -24, -21],
 [29, -10, -33, -29, -18]]

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


[User]
What is the rank of the matrix:
[[-14, 23, 6, 32, 34],
 [10, 5, 0, 20, -20],
 [0, -10, -2, -20, -2],
 [4, 7, 1, 18, -7],
 [-12, 14, 4, 16, 28]]?

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


[User]
Determine the rank of the following matrix:
[[-50, -36, 3, 5, -22],
 [-33, -1, 1, -17, -39],
 [0, -14, -40, 2, 0],
 [-30, -54, -39, 21, 6],
 [-63, -51, -5, 9, -25]]

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


[User]
Determine the rank of the following matrix:
[[14, 10, 16, -20, 27],
 [0, 0, 0, 0, 0],
 [2, 3, -15, 16, -15],
 [-20, -18, 18, -16, 6],
 [-6, -7, 23, -24, 21]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-16, 1, -30, -56, 20],
 [-4, 10, 12, 25, -21],
 [-30, -18, 36, 30, 8],
 [-22, -8, 0, -17, 15],
 [38, 31, -18, 13, -39]]

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


[User]
Find the rank of the matrix:
[[-10, -4, -24, 6, 20],
 [24, 20, -36, -56, 30],
 [-8, -8, 24, 24, -20],
 [-10, -10, 30, 30, -25],
 [-12, -8, 0, 20, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, 33, 9, 11, -3],
 [-2, -15, -19, -33, -7],
 [-18, -24, -21, -12, -14],
 [-24, 51, -2, -47, 17],
 [-28, 39, -2, -21, 5]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 14, -13, -23, 4],
 [-11, -28, 9, 1, 44],
 [-1, 16, -7, -7, -15],
 [-10, 57, -23, -24, -47],
 [-23, 36, -1, 3, -19]]

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


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

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


[User]
Find the rank of the matrix:
[[-6, -2, 10, -6, 2],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [-15, -5, 25, -15, 5],
 [-9, -3, 15, -9, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -6, 53, 6, -4],
 [-10, -24, -4, -24, -28],
 [-6, -24, -5, -38, -32],
 [4, -6, 43, 7, -4],
 [-6, -9, 9, -39, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -18, -18, 28, -20],
 [-30, -26, 44, -22, 2],
 [65, 61, -56, 41, -2],
 [-9, -2, 38, -16, 9],
 [-64, -63, 58, -29, -6]]

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


[User]
Determine the rank of the following matrix:
[[-18, 36, -30, -3, -24],
 [-6, 20, -2, 3, -4],
 [14, -42, -14, 7, 5],
 [-12, 24, -20, -2, -16],
 [4, 6, -54, 45, -9]]

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


[User]
Find the rank of the matrix:
[[40, -32, -30, 24, 14],
 [-15, 12, 18, 0, 15],
 [-25, 20, 30, 0, 25],
 [-10, 8, -3, -20, -35],
 [-15, 12, 21, 4, 24]]

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


[User]
Determine the rank of the following matrix:
[[-32, -22, 6, 20, 16],
 [-14, -7, -3, 26, 4],
 [23, 18, -9, 0, -14],
 [-7, 0, -9, 36, -2],
 [-10, -6, 0, 12, 4]]

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


[User]
What is the rank of the matrix:
[[40, 14, -18, 34, -11],
 [-12, 3, -6, 6, -4],
 [40, 0, 12, 26, -19],
 [-32, -6, 6, -16, 4],
 [-56, 4, -18, -12, 8]]?

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


[User]
Find the rank of the matrix:
[[-59, 8, -10, 17, 2],
 [-11, 28, 62, -29, -58],
 [-13, 6, -6, 1, 8],
 [-4, 8, -8, -24, 0],
 [-22, 2, -8, 9, 6]]

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


[User]
What is the rank of the matrix:
[[8, -8, -10, -6, 12],
 [10, 44, 7, 45, -6],
 [31, -4, -29, 3, 36],
 [14, -32, -24, -28, 28],
 [-49, 4, 45, -7, -56]]?

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


[User]
Find the rank of the matrix:
[[6, 2, -18, 4, -12],
 [-3, 25, -4, -15, 6],
 [-18, 18, 42, -24, 36],
 [15, -9, -38, 17, -30],
 [0, 20, -10, -10, 0]]

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


[User]
Determine the rank of the following matrix:
[[3, 8, 8, -4, -22],
 [15, -6, -6, 3, 5],
 [-36, 12, 12, -6, -6],
 [24, -6, -6, 3, -1],
 [-3, -10, -10, 5, 27]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -18, -10, 2, 18],
 [18, 18, 24, 12, -18],
 [-3, 24, 11, -5, -24],
 [3, -15, -6, 4, 15],
 [24, -3, 17, 19, 3]]

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


[User]
Determine the rank of the following matrix:
[[-36, 6, 30, 30, -24],
 [6, -1, -5, -5, 4],
 [40, 4, -8, -28, 20],
 [28, 6, 2, -18, 12],
 [-32, 0, 14, 24, -18]]

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


[User]
What is the rank of the matrix:
[[-3, -1, 15, -27, -30],
 [12, -11, 9, -27, -18],
 [-24, -4, 51, -42, 13],
 [-9, 4, 15, -24, -35],
 [12, -5, -1, -21, -38]]?

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


[User]
Find the rank of the matrix:
[[-4, -18, -16, 42, -34],
 [6, 33, 0, -9, 9],
 [1, 9, -14, 30, -23],
 [-2, -13, 8, -15, 11],
 [-8, -42, -8, 30, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[57, 50, -33, 17, 47],
 [20, 11, -23, 27, 3],
 [19, 7, -6, 2, 20],
 [-53, -33, 45, -23, -29],
 [58, 35, -24, 35, 53]]

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


[User]
Determine the rank of the following matrix:
[[19, -4, -4, -29, -25],
 [5, 0, -2, -7, -5],
 [31, 4, -16, -41, -25],
 [35, 20, -32, -37, -5],
 [-24, 4, 6, 36, 30]]

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


[User]
Find the rank of the matrix:
[[-5, -15, -25, 20, -30],
 [0, 0, 0, 0, 0],
 [4, 12, 20, -16, 24],
 [1, 3, 5, -4, 6],
 [-1, -3, -5, 4, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, -14, -31, -24, 12],
 [32, -12, -46, -28, 2],
 [2, 34, 21, 4, -22],
 [-4, -2, 35, 33, 67],
 [8, -4, -19, 16, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 0, -10, 8, -6],
 [6, -3, 8, -19, 3],
 [-30, -1, -24, 15, -15],
 [0, 6, -6, 30, 0],
 [-24, 2, -22, 26, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 74, 28, 50, 4],
 [-6, -39, 27, -48, -57],
 [-1, -21, -22, -4, 21],
 [3, 8, -29, 20, 40],
 [-4, -43, -1, -43, -30]]

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


[User]
Determine the rank of the following matrix:
[[-12, -36, -34, 58, -14],
 [17, 29, 10, -45, -25],
 [-11, -5, 1, -14, 14],
 [-8, -24, -29, 31, -21],
 [-6, -14, -2, 32, 16]]

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


[User]
Find the rank of the matrix:
[[-54, 3, 24, 69, 6],
 [9, -1, 1, -41, 41],
 [18, 21, 33, -30, 6],
 [-45, 12, 42, 33, 39],
 [-18, -21, -24, -15, 58]]

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


[User]
Calculate the rank of matrix A where A =
[[25, 0, -30, 29, 31],
 [17, 2, -22, 21, 19],
 [13, 3, -18, 17, 13],
 [9, -21, 6, -3, 33],
 [18, 8, -28, 26, 14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -12, 4, 14, 12],
 [17, -23, 1, 19, 21],
 [-20, 8, 24, 5, -2],
 [1, 5, -19, -16, -9],
 [-28, 4, 12, -6, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -2, 40, 30, -8],
 [28, 7, -5, -24, -26],
 [24, 6, 30, 0, -36],
 [16, 4, -40, -36, 0],
 [-8, -2, 30, 24, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 9, 6, -18, 3],
 [10, 6, 4, -12, 2],
 [-20, -12, -8, 24, -4],
 [20, 12, 8, -24, 4],
 [-5, -3, -2, 6, -1]]

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


[User]
Determine the rank of the following matrix:
[[-19, 23, 11, -3, -24],
 [7, 10, 2, 12, -1],
 [68, -13, -36, -27, 29],
 [-18, 0, 16, 36, 2],
 [16, -28, -9, 10, 28]]

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


[User]
Determine the rank of the following matrix:
[[12, 8, 20, -16, -16],
 [-9, -6, -15, 12, 12],
 [-6, -4, -10, 8, 8],
 [-9, -6, -15, 12, 12],
 [12, 8, 20, -16, -16]]

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


[User]
Find the rank of the matrix:
[[34, 49, 14, -17, -6],
 [-2, 13, -22, 1, -12],
 [-24, -29, -14, 13, 8],
 [-3, 7, -8, 4, 12],
 [1, 13, -10, 1, 3]]

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


[User]
Find the rank of the matrix:
[[2, -17, 44, 20, -2],
 [-18, 25, -34, -16, 3],
 [10, -15, -32, 16, 11],
 [-32, 16, 20, 8, 2],
 [-10, 14, 9, -12, -5]]

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


[User]
Determine the rank of the following matrix:
[[-46, -18, 56, -2, -10],
 [-29, -30, 22, 0, 24],
 [7, -5, -40, 15, 59],
 [18, 48, 0, 2, -50],
 [-1, 11, 28, -11, -51]]

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


[User]
Determine the rank of the following matrix:
[[-31, -3, -25, -20, 19],
 [50, -2, -2, 16, -18],
 [-5, 11, 29, 8, -3],
 [-18, 6, -30, -20, 22],
 [18, -24, -18, 4, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 30, -25, -15, 15],
 [0, 6, -5, -3, 3],
 [0, 36, -30, -18, 18],
 [0, 36, -30, -18, 18],
 [0, -18, 15, 9, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 6, -34, -19, 48],
 [5, -39, 13, -17, 10],
 [1, -33, 5, -10, 12],
 [-8, 24, -34, -8, 39],
 [-11, 54, -5, 32, -32]]

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


[User]
Calculate the rank of matrix A where A =
[[-36, 30, -12, -12, 0],
 [0, 0, 0, 0, 0],
 [-36, 30, -12, -12, 0],
 [30, -25, 10, 10, 0],
 [24, -20, 8, 8, 0]]

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


[User]
Determine the rank of the following matrix:
[[52, 2, -20, -6, 14],
 [-46, 3, 45, 6, 15],
 [-32, -24, -18, -36, -12],
 [44, 10, -2, 8, 18],
 [14, -3, -15, -6, -3]]

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


[User]
Find the rank of the matrix:
[[0, -3, 5, 7, 7],
 [10, 6, 5, -4, 16],
 [8, 12, -8, -20, -4],
 [10, 6, 5, -4, 16],
 [-28, -12, -22, 0, -56]]

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


[User]
Find the rank of the matrix:
[[-18, 0, -54, 12, 18],
 [6, 34, -26, -26, 24],
 [-12, 12, 12, -8, -18],
 [-23, 0, 3, 6, -23],
 [-41, -19, -1, 27, -38]]

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


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

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


[User]
Determine the rank of the following matrix:
[[15, 12, 15, 15, -6],
 [10, 0, 22, 10, -4],
 [15, 14, 12, 15, -6],
 [-10, -12, -4, -10, 4],
 [15, 22, 0, 15, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -6, 4, -8, -12],
 [-5, -13, 14, 0, 30],
 [-2, -36, 32, -22, 12],
 [7, 14, -16, -3, -42],
 [-4, -9, 10, 1, 24]]

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


[User]
Determine the rank of the following matrix:
[[-19, -43, -7, 10, -11],
 [1, -23, 13, -10, 5],
 [13, 21, 9, -10, 9],
 [-12, 36, -36, 30, -18],
 [-8, -16, -4, 5, -5]]

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


[User]
Find the rank of the matrix:
[[25, -25, 7, 46, -36],
 [-8, 9, -5, -18, 16],
 [-8, 34, -22, -44, 32],
 [-10, 38, -26, -52, 40],
 [28, -12, -2, 36, -32]]

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


[User]
Determine the rank of the following matrix:
[[-18, 30, 24, 30, -12],
 [18, -30, -24, -30, 12],
 [18, -30, -24, -30, 12],
 [-9, 15, 12, 15, -6],
 [-3, 5, 4, 5, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[43, 13, -14, -3, -17],
 [-12, 22, 27, -12, 27],
 [23, 21, -3, -41, -44],
 [26, -64, -6, 89, -34],
 [45, 15, -13, -13, -32]]

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


[User]
Determine the rank of the following matrix:
[[-7, 18, -17, 7, 34],
 [-29, 14, -38, 4, -24],
 [-15, -49, 55, -25, -29],
 [33, 12, 9, 6, 36],
 [-29, -44, 39, -21, -32]]

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


[User]
Calculate the rank of matrix A where A =
[[13, 33, 3, 16, 24],
 [-15, -27, -3, -12, -12],
 [-2, 6, 0, 4, 12],
 [-31, -27, -5, -8, 16],
 [13, 9, 2, 2, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -10, -2, -14, 0],
 [9, -5, -1, -7, 0],
 [-6, 2, 6, 10, 4],
 [6, 0, -14, -18, -10],
 [3, 2, -15, -17, -11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 22, 36, 12, -16],
 [-30, -39, -18, 15, -27],
 [-10, -13, -6, 5, -9],
 [-25, 10, 36, 21, -31],
 [25, 0, -24, -19, 29]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -36, 16, -24, 8],
 [36, -4, 0, -16, -24],
 [24, -7, 2, -13, -14],
 [18, -28, 12, -22, 0],
 [9, -27, 12, -18, 6]]

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


[User]
Find the rank of the matrix:
[[-28, 5, 3, 16, -31],
 [12, 10, 16, -11, -3],
 [6, 20, 8, 2, 24],
 [53, -5, 23, -45, 5],
 [-19, 20, 26, 5, -44]]

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


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

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


[User]
Determine the rank of the following matrix:
[[24, -9, 10, -32, -27],
 [41, -39, -16, -22, 16],
 [-16, -9, -16, 36, 40],
 [22, 8, 2, -4, 1],
 [-49, 54, 40, -8, -68]]

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


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

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


[User]
Find the rank of the matrix:
[[-25, -2, -20, 12, -16],
 [22, -1, 20, -8, 10],
 [-47, -51, 19, 43, -2],
 [-24, -70, 72, 44, 32],
 [21, 21, -27, -33, 12]]

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


[User]
Find the rank of the matrix:
[[12, -24, 0, -8, -4],
 [-18, 36, 0, 12, 6],
 [-15, 30, 0, 10, 5],
 [-3, 6, 0, 2, 1],
 [-12, 24, 0, 8, 4]]

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


[User]
Find the rank of the matrix:
[[7, 1, -7, -78, -18],
 [12, 25, -26, 10, 36],
 [-7, -31, 23, 12, -33],
 [7, -25, 5, -26, -30],
 [39, 7, -47, -8, 27]]

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


[User]
Find the rank of the matrix:
[[7, -2, 21, 34, 35],
 [-20, 19, 33, 18, 24],
 [33, -30, -45, -18, -27],
 [24, -21, -27, -6, -12],
 [0, -3, -21, -26, -28]]

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


[User]
What is the rank of the matrix:
[[-20, -15, 22, -22, 10],
 [-4, 14, 12, 36, -32],
 [26, -56, 20, -52, -2],
 [6, -26, 28, -8, -24],
 [-19, 4, 2, -10, 19]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -6, 36, 15, -21],
 [-34, -12, 12, 30, -12],
 [35, 12, -6, -30, 9],
 [-32, -12, 24, 30, -18],
 [-24, -10, 36, 25, -23]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 1, 11, 7, 5],
 [5, 13, 15, 20, 14],
 [11, -19, -23, 2, -14],
 [15, -37, -25, 12, -20],
 [2, -36, -36, -22, -30]]

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


[User]
Find the rank of the matrix:
[[-1, -19, 18, -12, 11],
 [41, 10, 5, -24, 23],
 [-12, -46, 18, -29, 14],
 [22, 29, -3, 6, 2],
 [23, 2, -4, -23, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[5, 2, -14, 33, -42],
 [48, -35, -20, -26, 24],
 [33, -24, -8, -36, 62],
 [-46, 39, -8, 16, -44],
 [-8, 4, 22, 40, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[19, -27, 31, -10, 58],
 [-15, 16, -37, 12, -3],
 [-9, 3, -35, 18, 1],
 [-23, -20, -11, 20, -32],
 [-20, -8, 4, 8, -54]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 72, -16, 16, 48],
 [12, 18, 6, -32, 38],
 [0, -5, -13, -8, 3],
 [2, 43, -26, 15, 26],
 [10, -20, 15, -49, 19]]

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


[User]
Find the rank of the matrix:
[[-20, -24, -30, -9, 15],
 [25, 30, 15, 45, -30],
 [-20, -24, -32, -6, 14],
 [-30, -36, -42, -18, 24],
 [10, 12, 18, 0, -6]]

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


[User]
Determine the rank of the following matrix:
[[-20, -3, 13, -1, 22],
 [2, 7, 2, 15, 18],
 [16, 19, -60, 33, -10],
 [-8, -4, -13, -8, -12],
 [18, 5, -23, 5, -22]]

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


[User]
What is the rank of the matrix:
[[22, -40, -10, -8, -24],
 [2, -10, -6, 12, -20],
 [0, -15, -12, 30, -42],
 [-14, 30, 10, -4, 28],
 [18, -30, -6, -12, -12]]?

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


[User]
Determine the rank of the following matrix:
[[1, -10, -35, 47, 35],
 [35, -25, 22, -13, 29],
 [34, 33, 1, -16, -54],
 [-2, -23, 5, 4, 46],
 [21, 21, -22, 13, 19]]

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


[User]
What is the rank of the matrix:
[[8, -14, -27, 34, -16],
 [-7, 22, 35, -33, 27],
 [2, -8, -12, 10, -10],
 [-2, 2, 5, -8, 2],
 [0, 12, 14, -4, 16]]?

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [-15, -6, -18, -3, -18],
 [-30, -12, -36, -6, -36],
 [30, 12, 36, 6, 36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, -30, 20, 25, -5],
 [-6, 6, -4, -5, 1],
 [0, 0, 0, 0, 0],
 [6, -6, 4, 5, -1],
 [0, 0, 0, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, -9, -12, -30, 15],
 [-5, 51, 4, -22, -52],
 [32, -17, 1, 28, 25],
 [-63, 56, 9, -34, -75],
 [76, -35, -19, 14, 49]]

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


[User]
What is the rank of the matrix:
[[21, 15, -8, 1, -3],
 [-30, -15, -5, -20, 15],
 [15, 3, 14, 23, -15],
 [-36, -18, -6, -24, 18],
 [50, 31, -7, 16, -15]]?

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


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

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


[User]
Find the rank of the matrix:
[[-45, -22, 14, 42, -17],
 [-14, -22, -20, 4, 2],
 [-8, -14, -24, 4, -26],
 [10, -8, -12, -20, 42],
 [-25, -6, 22, 26, -1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 16, -3, -7, -23],
 [4, -3, 9, -4, -1],
 [0, 42, -18, -12, -54],
 [-2, -37, 12, 13, 50],
 [-2, -30, 9, 11, 41]]

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


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

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


[User]
Find the rank of the matrix:
[[2, -21, 3, -12, -42],
 [16, -4, 4, -8, 8],
 [5, 26, 10, 14, 6],
 [37, 21, 33, 2, -40],
 [31, 30, 24, 8, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 16, -4, 8, -4],
 [0, 0, 0, 0, 0],
 [5, 4, -1, 2, -1],
 [15, 12, -3, 6, -3],
 [30, 24, -6, 12, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -12, 9, -8, 3],
 [60, -19, -5, 8, 36],
 [-31, 19, 1, 6, -30],
 [-17, -1, 20, 18, -33],
 [30, 4, 1, 28, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[24, -12, -8, -8, 24],
 [6, -3, -2, -2, 6],
 [0, 0, 0, 0, 0],
 [-36, 18, 12, 12, -36],
 [18, -9, -6, -6, 18]]

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


[User]
What is the rank of the matrix:
[[32, -21, -14, -6, -50],
 [-17, 1, 9, -14, 25],
 [-19, 8, 9, -4, 29],
 [30, -27, -12, -18, -48],
 [1, -10, 1, -16, -3]]?

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


[User]
Determine the rank of the following matrix:
[[13, -10, -14, -13, -15],
 [25, -10, -30, -15, -20],
 [17, 22, -30, 21, 14],
 [-15, 6, 18, 9, 12],
 [28, -16, -32, -22, -27]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[6, 24, 12, 12, 12],
 [6, 24, 12, 12, 12],
 [6, 24, 12, 12, 12],
 [-5, -20, -10, -10, -10],
 [-6, -24, -12, -12, -12]]

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


[User]
Find the rank of the matrix:
[[-19, 14, 12, 23, 13],
 [1, -11, -6, -7, 2],
 [5, -16, -18, -13, 4],
 [-10, -7, 12, 4, 4],
 [-22, 8, -6, 22, 25]]

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[User]
What is the rank of the matrix:
[[20, -8, 15, -53, 0],
 [-36, -25, -9, 7, -34],
 [-5, -6, -4, 8, -19],
 [49, 38, 31, -5, 33],
 [23, -20, 26, -70, -33]]?

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[User]
What is the rank of the matrix:
[[-12, -15, 3, -3, -6],
 [-4, -5, 1, -1, -2],
 [4, 5, -1, 1, 2],
 [0, 0, 0, 0, 0],
 [-16, -20, 4, -4, -8]]?

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


[User]
Find the rank of the matrix:
[[-6, -8, 24, -16, 28],
 [17, -27, 6, -34, 10],
 [0, -21, 54, -6, -12],
 [25, -36, -9, -59, 35],
 [4, 18, -62, -2, 18]]

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

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


[User]
What is the rank of the matrix:
[[-18, 15, -15, -24, -33],
 [19, -34, -18, 7, 16],
 [-50, -51, 52, -12, -27],
 [-55, -46, 17, -31, -56],
 [-22, 25, 36, -4, -7]]?

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[User]
What is the rank of the matrix:
[[2, -6, -4, -2, 7],
 [15, -23, -1, -10, 18],
 [1, 19, -35, 10, 31],
 [-18, 22, -40, 14, 21],
 [45, -21, 18, -15, 21]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-12, -8, 1, 0, -15],
 [-24, -22, 13, -20, -9],
 [-15, 11, -29, 28, -9],
 [-1, -5, -2, -4, -10],
 [5, -12, 22, -14, -13]]

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[User]
Determine the rank of the following matrix:
[[-59, -1, -29, -7, 30],
 [12, 14, -21, -7, 8],
 [-17, -9, -43, -2, 26],
 [44, 9, -11, -1, -5],
 [47, 32, -8, -28, -25]]

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[User]
Find the rank of the matrix:
[[-10, 21, -66, 2, 46],
 [-34, -27, 38, -11, 18],
 [-39, -18, 9, -11, 1],
 [10, 0, 10, 3, 46],
 [4, 24, -60, 5, 24]]

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[User]
Determine the rank of the following matrix:
[[-35, -4, -8, -4, 29],
 [-13, 2, 8, 2, 13],
 [-35, -8, -26, -8, 8],
 [-3, 14, 34, 14, -24],
 [8, 6, 20, 6, 4]]

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[User]
What is the rank of the matrix:
[[-23, -17, 32, 4, 30],
 [10, 17, -25, 16, -16],
 [-16, 4, 4, 32, 16],
 [21, 24, -39, 12, -30],
 [-1, -16, 19, -28, 6]]?

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

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[User]
What is the rank of the matrix:
[[-60, -34, 38, 1, 22],
 [-36, -5, 28, -39, -21],
 [-24, -16, 5, 32, 44],
 [12, -21, -9, 11, 15],
 [-50, -3, 28, 10, 19]]?

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[User]
Calculate the rank of matrix A where A =
[[-9, 12, -34, 6, 34],
 [-12, 0, 8, 24, -8],
 [-3, 6, -18, 0, 18],
 [20, -10, 20, -30, -20],
 [-22, 2, 8, 42, -8]]

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[User]
Determine the rank of the following matrix:
[[-8, 13, 22, -9, -6],
 [-28, 31, -2, 26, 5],
 [3, -32, -17, 29, 15],
 [15, -20, 13, -9, 5],
 [9, -25, -6, 3, 2]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-4, -20, -40, -24, 36],
 [9, 39, -37, -9, 34],
 [-13, 31, 24, 31, -15],
 [-23, 13, -72, -45, 58],
 [12, -14, 29, 52, -4]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-36, 28, -35, 34, -28],
 [54, -12, 39, 2, 20],
 [36, -22, 9, -18, 14],
 [-31, 34, -57, 38, -39],
 [-16, 31, -28, -10, -21]]

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[User]
What is the rank of the matrix:
[[34, 24, 25, -11, 0],
 [-16, -3, 36, -32, 39],
 [-46, 9, -27, 25, 23],
 [-3, 46, -20, -5, 30],
 [-33, 0, 5, -2, 30]]?

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

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[User]
Determine the rank of the following matrix:
[[-1, -14, 12, 12, -9],
 [-12, 54, -36, -54, 36],
 [-12, 17, -6, -21, 12],
 [-28, -22, 36, 6, -12],
 [-14, 26, -12, -30, 18]]

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

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

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[User]
Compute the rank of the given 5x5 matrix:
[[6, 16, -4, -12, 3],
 [2, -28, -3, 11, -9],
 [22, -28, -19, -5, -15],
 [-8, -28, 5, 19, -6],
 [-22, 8, 18, 14, 9]]

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[User]
Determine the rank of the following matrix:
[[-36, 38, 5, -11, 18],
 [-67, 16, 12, -17, 2],
 [-60, 10, 13, -1, -14],
 [44, -36, -5, -15, 10],
 [-15, 28, -10, -8, 18]]

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[User]
What is the rank of the matrix:
[[-6, 20, -4, -6, -12],
 [9, -24, 2, 3, 8],
 [-15, 35, 0, 0, -5],
 [-3, 22, -10, -15, -26],
 [-18, 21, 14, 21, 29]]?

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[User]
What is the rank of the matrix:
[[18, -50, -2, -5, 44],
 [-17, 36, -10, 11, -24],
 [-16, -7, -30, -9, 59],
 [-24, 26, -9, -21, 20],
 [-12, 2, 22, -8, -22]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[4, 46, -58, 12, -16],
 [24, -42, 72, -42, 24],
 [-6, -1, 14, 40, 22],
 [-48, -63, 42, 15, -4],
 [6, -27, 24, -48, -10]]

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

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


[User]
What is the rank of the matrix:
[[12, -12, -6, 12, 3],
 [11, -6, -33, 16, -16],
 [25, 10, -25, 33, -17],
 [-14, -44, -14, -21, 10],
 [12, 4, -34, 19, -21]]?

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[User]
Determine the rank of the following matrix:
[[-10, -14, -16, 30, -24],
 [2, -6, -32, -2, -4],
 [-16, -3, 16, 37, -19],
 [22, -17, -36, -37, 5],
 [-26, 24, 26, 40, -2]]

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


[User]
Find the rank of the matrix:
[[-25, 15, -25, 10, -30],
 [42, -15, 18, -30, 33],
 [-44, 6, 4, 44, -18],
 [54, -12, 6, -48, 30],
 [-5, 3, -5, 2, -6]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -36, -8, -16, 15],
 [-20, -4, -16, -36, 42],
 [-32, 24, -8, -24, 36],
 [-43, 34, -13, -32, 42],
 [-9, 20, 25, 18, 24]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[18, 20, -30, 23, 34],
 [-12, -60, 54, 24, -27],
 [-14, 0, -6, -13, 2],
 [-18, -48, 36, 15, -15],
 [2, -4, -4, 13, 11]]

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[User]
Calculate the rank of matrix A where A =
[[19, -8, -24, -4, 16],
 [-17, -5, 18, 3, -34],
 [-6, -3, -24, -14, -9],
 [2, -13, 0, 2, -19],
 [-12, 15, -6, -9, 10]]

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


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

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[User]
Find the rank of the matrix:
[[-12, 31, 67, -36, 57],
 [2, 34, 49, -24, 39],
 [48, 38, -30, 48, -42],
 [12, -18, -30, -18, -18],
 [16, 42, 43, -27, 33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, -1, 8, -39, -17],
 [24, 2, 12, -34, -18],
 [18, 9, 19, -13, -16],
 [6, 17, 25, 19, -10],
 [-6, -14, -21, -14, 9]]

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


[User]
Find the rank of the matrix:
[[-33, 16, -3, 38, -14],
 [33, -16, 3, -38, 14],
 [-28, 8, 4, 40, -8],
 [27, -34, 27, -2, 26],
 [6, 18, -24, -36, -12]]

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


[User]
Determine the rank of the following matrix:
[[-6, -26, 46, 10, 32],
 [-15, -6, -27, -9, -48],
 [5, 19, -12, -14, 27],
 [-18, 2, -41, -21, -45],
 [25, 18, 13, 15, 32]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [12, 3, 9, 6, -3],
 [0, 0, 0, 0, 0],
 [-4, -1, -3, -2, 1],
 [-20, -5, -15, -10, 5]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[48, -30, 14, -32, -32],
 [12, -3, -19, -8, -8],
 [-30, 19, -10, 20, 20],
 [36, -21, 3, -24, -24],
 [36, -22, 8, -24, -24]]

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


[User]
Determine the rank of the following matrix:
[[0, -12, 2, 12, 12],
 [-4, 27, -6, -25, -24],
 [32, 6, 11, -22, -30],
 [12, 27, 0, -33, -36],
 [-40, 6, -16, 14, 24]]

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


[User]
What is the rank of the matrix:
[[18, 30, 18, 0, -36],
 [9, 15, 9, 0, -18],
 [12, 20, 12, 0, -24],
 [15, 25, 15, 0, -30],
 [-12, -20, -12, 0, 24]]?

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[User]
Find the rank of the matrix:
[[15, 58, 17, -24, 11],
 [28, 14, -4, 18, 36],
 [-2, -48, -17, 30, 5],
 [1, -34, -21, 24, 9],
 [18, 78, 57, -36, 3]]

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


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

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


[User]
Find the rank of the matrix:
[[-30, -29, 3, -32, 4],
 [5, 5, -1, 6, 0],
 [10, 11, -5, 16, 4],
 [-15, -16, 6, -22, -4],
 [-25, -21, -7, -14, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -21, -15, 24, -9],
 [-14, -21, 13, -4, 9],
 [12, 6, -28, 26, -18],
 [-18, -19, -8, 21, -3],
 [-14, 4, -13, 19, -6]]

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


[User]
Determine the rank of the following matrix:
[[-18, 12, -18, -24, 30],
 [6, 21, 0, -15, 30],
 [-22, -2, -18, -14, 10],
 [40, 15, 30, 15, 0],
 [-5, 20, -9, -22, 35]]

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[User]
Calculate the rank of matrix A where A =
[[20, -5, 15, 0, 25],
 [8, -2, 6, 0, 10],
 [-20, 5, -15, 0, -25],
 [-12, 3, -9, 0, -15],
 [8, -2, 6, 0, 10]]

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


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

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[User]
Calculate the rank of matrix A where A =
[[-51, -16, -55, -45, -41],
 [51, 36, 67, 19, 31],
 [10, -37, -61, 9, -10],
 [25, 40, 84, 11, 29],
 [-57, 0, -29, -41, -33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[59, 3, 57, -39, 3],
 [-15, 7, -3, 0, -17],
 [-34, -30, -24, 15, 20],
 [-9, 35, 19, -40, 29],
 [1, 31, 39, -51, 9]]

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


[User]
Determine the rank of the following matrix:
[[4, -24, 10, 12, 34],
 [1, 7, 22, -10, -24],
 [5, -17, 32, 2, 10],
 [-5, 37, -2, -22, -60],
 [-6, 22, -36, -4, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, -6, 2, 36, -34],
 [-20, -9, 2, 23, -19],
 [16, 8, 14, -14, 40],
 [8, -1, -8, -11, -3],
 [0, -31, -27, -6, -37]]

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


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

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


[User]
What is the rank of the matrix:
[[66, 16, 49, -20, 58],
 [4, -23, 0, -20, -15],
 [58, 25, 45, -8, 57],
 [-44, -5, -33, 16, -30],
 [-28, -18, -22, 0, -34]]?

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


[User]
What is the rank of the matrix:
[[-46, -21, -23, -19, 59],
 [-70, -33, -5, 2, 1],
 [-64, -31, -9, -14, 18],
 [16, -10, -8, 22, -26],
 [54, 37, 13, 25, -13]]?

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


[User]
Find the rank of the matrix:
[[-3, -1, -15, 35, -5],
 [-17, -5, -5, 36, -10],
 [43, 9, -15, -15, 13],
 [-6, 56, 26, 19, 1],
 [-65, 35, 25, -2, -2]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -61, -16, 66, -17],
 [-84, -61, 38, 66, 1],
 [30, 9, 39, -36, 8],
 [6, -42, 27, 24, 9],
 [18, -11, 61, -12, 42]]

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


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

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


[User]
Find the rank of the matrix:
[[29, -19, -5, -17, 20],
 [-40, -16, 16, 4, 8],
 [58, 2, 30, 16, -20],
 [-22, 50, 38, -14, 56],
 [-1, -17, -7, 15, -32]]

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


[User]
Determine the rank of the following matrix:
[[12, -33, 30, 3, -24],
 [-5, 18, -33, 9, 30],
 [48, -21, -12, 24, -12],
 [-22, 13, -50, 22, 64],
 [26, -32, -6, 26, 4]]

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


[User]
Find the rank of the matrix:
[[-7, 42, 54, 46, -45],
 [-22, -4, -9, -22, -7],
 [6, -84, -73, -14, 32],
 [-4, 24, 12, -24, -21],
 [-53, 33, 25, -17, -26]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -56, -15, 58, -32],
 [-6, -12, 24, 2, 2],
 [6, 14, 6, -7, 8],
 [5, -44, -11, 31, -17],
 [5, 29, -8, -31, 17]]

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


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

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


[User]
Determine the rank of the following matrix:
[[42, 5, 10, -27, 16],
 [-27, -17, -26, 26, -35],
 [-13, 21, 16, -24, 21],
 [-8, -16, 22, -2, 2],
 [-17, 3, -1, -15, -6]]

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