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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -22, 24, -81, -3],
 [12, 28, -16, 71, -19],
 [-16, 8, 8, -2, 2],
 [0, -3, -5, -19, -40],
 [-10, -42, 12, -83, 35]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-21, 0, -12, 1, 1],
 [-25, 8, -24, -15, -23],
 [9, -12, 24, 36, 33],
 [-8, -6, -1, 2, 21],
 [0, 8, -4, 0, -28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -30, -22, 22, 44],
 [1, -15, 19, 17, -2],
 [0, 15, -24, -18, 6],
 [-3, 20, -17, -21, -4],
 [0, 15, -24, -18, 6]]

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


[User]
Determine the rank of the following matrix:
[[10, -4, -26, 45, -29],
 [15, -34, -27, 13, 16],
 [17, 26, -13, 14, -9],
 [11, 0, 5, -41, 45],
 [41, 6, -37, 7, 26]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, -30, -36, 24],
 [0, 0, -5, -6, 4],
 [0, 0, -5, -6, 4],
 [0, 0, -10, -12, 8],
 [0, 0, 15, 18, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, 28, -17, -14, 13],
 [-44, 52, 10, 20, -14],
 [-70, 64, -29, 2, -3],
 [-34, 11, -52, -54, 45],
 [-37, 38, -1, -2, 5]]

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


[User]
Determine the rank of the following matrix:
[[10, -15, 30, -3, 3],
 [-20, -5, 22, -9, -9],
 [11, -27, 3, 9, -6],
 [-18, 1, 37, -15, -3],
 [-2, 69, 21, -27, 33]]

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


[User]
Find the rank of the matrix:
[[1, -12, -12, -7, 31],
 [-11, -9, 8, 46, -26],
 [21, -18, -6, -33, 21],
 [5, 12, -12, -43, 35],
 [-4, 18, -14, -34, 38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, -4, -12, 8, -16],
 [32, 0, -6, 4, -4],
 [12, -12, -27, 18, -42],
 [-39, -5, -3, 2, -12],
 [2, 6, 12, -8, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, -7, -14, -2, 10],
 [20, 26, 7, -12, 8],
 [-10, 11, -13, 10, 32],
 [16, -42, -46, -60, -12],
 [-40, -4, -3, 4, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-35, -1, -16, -37, -5],
 [29, -4, 14, 34, -7],
 [-20, -8, -8, -16, -20],
 [-1, -3, 0, 1, -7],
 [3, -4, 2, 6, -9]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, 19, 1, 12, -12],
 [-9, -7, -1, 8, 6],
 [-20, -27, -6, -17, 15],
 [-22, -19, -3, 14, 15],
 [-12, 2, 2, 44, 6]]

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


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

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


[User]
What is the rank of the matrix:
[[-26, -36, 31, 34, 11],
 [26, 36, -31, -34, -11],
 [28, 24, -32, -8, -16],
 [-9, -15, 23, -28, -33],
 [4, 14, 1, -46, -19]]?

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


[User]
Calculate the rank of matrix A where A =
[[-13, -47, -21, -39, -31],
 [-46, -23, -31, -29, -42],
 [11, -32, -25, 13, -3],
 [-35, 23, -31, -3, -19],
 [-11, -36, -41, -15, -25]]

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


[User]
What is the rank of the matrix:
[[26, -22, 14, 29, 0],
 [10, 10, -30, 25, 0],
 [4, -8, 11, 1, 0],
 [42, -18, -11, 60, 0],
 [-10, 14, -16, -7, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-24, -12, -12, -15, 15],
 [24, -8, 16, -2, -38],
 [-5, 20, -7, 16, 29],
 [2, 16, -2, 14, 16],
 [29, 12, 15, 16, -21]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 7, 51, -28, 44],
 [-36, 12, 36, 12, -48],
 [-18, -60, 9, 0, -39],
 [22, -10, -41, 0, 21],
 [20, -26, -4, -16, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, 2, -22, -6, -24],
 [1, 30, -27, 18, -25],
 [30, 24, -3, 17, 1],
 [-6, 16, -17, -21, -13],
 [53, -1, 35, -2, 40]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -20, 15, 10, -5],
 [-19, 4, 17, 18, 11],
 [33, -12, -27, -6, -9],
 [36, -8, -32, -14, -11],
 [-43, 12, 37, 4, 8]]

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


[User]
Determine the rank of the following matrix:
[[2, -16, 12, -20, -4],
 [-28, 9, -6, 34, -12],
 [-28, 4, -25, 16, 34],
 [-27, 22, -27, 42, 16],
 [27, -35, 31, -60, -8]]

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


[User]
What is the rank of the matrix:
[[-35, -39, -26, 25, -20],
 [11, 12, -41, 13, 14],
 [-40, -19, -1, 25, -30],
 [1, 17, 26, -5, -4],
 [-28, -13, 2, 18, -20]]?

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


[User]
Determine the rank of the following matrix:
[[15, 7, 17, -16, -11],
 [15, 7, 17, -16, -11],
 [15, 39, -15, 24, -3],
 [-20, -28, -4, -2, 10],
 [10, 2, 14, -14, -8]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 15, 24, 18, -50],
 [23, 29, -8, 66, -70],
 [-1, -37, 6, -4, 6],
 [-32, 0, -4, -40, 40],
 [36, -6, 4, 52, -52]]

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


[User]
Calculate the rank of matrix A where A =
[[45, 3, -65, 63, 31],
 [-38, -39, 48, -67, 11],
 [-16, -5, 34, -19, -19],
 [-25, 21, 31, 0, -62],
 [-7, -70, -11, -14, 48]]

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[User]
Calculate the rank of matrix A where A =
[[3, 51, -42, 18, -12],
 [20, -18, 22, -12, 6],
 [37, 46, -72, -15, -1],
 [-62, -22, 56, 36, -8],
 [15, 44, -39, 6, -5]]

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


[User]
What is the rank of the matrix:
[[39, 6, 19, 30, 9],
 [14, -4, -11, 15, -11],
 [16, 4, -39, 33, -31],
 [-16, -10, -4, -18, -2],
 [-1, 20, -19, 18, -11]]?

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


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

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


[User]
What is the rank of the matrix:
[[-12, -10, -10, -4, -10],
 [0, 0, 0, 0, 0],
 [30, 25, 25, 10, 25],
 [24, 20, 20, 8, 20],
 [6, 5, 5, 2, 5]]?

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


[User]
What is the rank of the matrix:
[[4, -2, -37, 16, 32],
 [17, 1, 27, 11, -14],
 [-27, 4, 13, -32, -18],
 [-9, -13, -13, -19, -18],
 [32, -7, 25, 21, -20]]?

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


[User]
Calculate the rank of matrix A where A =
[[-5, -6, 3, -1, 2],
 [15, 18, -9, 3, -6],
 [-5, -6, 3, -1, 2],
 [-10, -12, 6, -2, 4],
 [25, 30, -15, 5, -10]]

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


[User]
What is the rank of the matrix:
[[19, -11, -4, 19, 41],
 [28, 53, -2, -39, 0],
 [17, 43, 5, -12, -30],
 [12, 9, 0, 3, 6],
 [-13, -24, -6, -10, 25]]?

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


[User]
What is the rank of the matrix:
[[-8, 0, -8, 48, -42],
 [8, -12, 2, 8, -16],
 [12, 0, 12, -32, 28],
 [-4, -12, -10, 32, -37],
 [24, 12, 30, -40, 44]]?

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


[User]
Determine the rank of the following matrix:
[[26, -34, 26, -16, -6],
 [25, -15, 47, -14, -1],
 [-23, -1, -7, -24, 27],
 [50, -33, 35, -15, 44],
 [8, 30, 46, -4, 37]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -9, 9, -3, 15],
 [30, -18, 18, -6, 30],
 [-30, 18, -18, 6, -30],
 [-15, 9, -9, 3, -15],
 [-10, 6, -6, 2, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-43, 6, 1, 23, -8],
 [-3, -12, -24, -16, 9],
 [-43, 24, 25, 15, -2],
 [2, -13, -12, 20, -13],
 [49, -21, -22, -26, 8]]

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


[User]
What is the rank of the matrix:
[[4, -36, 22, -6, 14],
 [18, 15, -26, 16, -4],
 [-6, -6, 17, -1, 4],
 [-30, -39, 40, -38, 8],
 [48, -15, -31, 29, 10]]?

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


[User]
Determine the rank of the following matrix:
[[5, 49, -35, 61, -37],
 [8, 25, -5, 19, -13],
 [3, 15, -7, 15, -9],
 [-15, 13, -42, 43, -10],
 [3, 37, -29, 49, -31]]

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


[User]
Determine the rank of the following matrix:
[[6, -3, 30, 27, 6],
 [12, 60, 5, 10, -54],
 [10, 7, 40, 37, -2],
 [4, 4, 15, 14, -2],
 [2, -13, 20, 17, 14]]

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


[User]
Determine the rank of the following matrix:
[[-15, -38, 29, 4, 38],
 [-31, 1, 16, 5, 20],
 [19, -6, 27, -20, 2],
 [10, 22, -22, -32, -25],
 [-29, -23, -52, 7, 11]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 0, -18, 5, -17],
 [-18, 13, 30, -7, 22],
 [18, 9, -18, 9, -22],
 [30, 20, -12, -10, -18],
 [0, 7, 3, 2, -1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[14, -15, 8, 19, -5],
 [6, -55, 4, 19, -1],
 [-16, -29, -11, 28, -15],
 [-42, -22, -29, 53, -36],
 [-2, 30, -5, 49, -32]]

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


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

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


[User]
Determine the rank of the following matrix:
[[38, -39, 26, -40, 9],
 [-22, 15, -15, 22, -12],
 [4, 36, -31, 8, -27],
 [14, -3, 15, -14, 24],
 [32, 6, 1, -24, 3]]

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


[User]
Determine the rank of the following matrix:
[[6, 6, -33, -12, 5],
 [-19, 32, 35, 4, -12],
 [6, 24, 3, -3, 8],
 [20, 18, -16, -7, 19],
 [22, -18, -5, 4, 17]]

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


[User]
Find the rank of the matrix:
[[-18, -29, 2, -22, 9],
 [-9, -3, -6, -1, -2],
 [24, 8, -5, 19, 3],
 [9, 26, -26, 35, -13],
 [58, 4, -2, 32, 16]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 4, -8, 12, 24],
 [0, 6, -12, 18, 36],
 [0, 5, -10, 15, 30],
 [0, -4, 8, -12, -24],
 [0, -5, 10, -15, -30]]?

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


[User]
Calculate the rank of matrix A where A =
[[-3, 5, 2, 6, 5],
 [36, -34, -10, 18, -10],
 [4, 2, 2, 22, 10],
 [15, -12, -3, 15, 0],
 [-6, -3, -3, -33, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -5, -14, -17, 63],
 [22, -39, -35, -31, -64],
 [-15, 40, 36, 47, 28],
 [9, -12, -25, -20, 31],
 [-35, -9, 15, -21, 54]]

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


[User]
What is the rank of the matrix:
[[-23, 5, 49, 17, 2],
 [13, -38, 3, -11, 37],
 [32, -5, -46, -8, -3],
 [-29, -8, -39, -53, 9],
 [-14, 84, -34, 18, -86]]?

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


[User]
Calculate the rank of matrix A where A =
[[-15, -20, -10, -5, -5],
 [-9, -12, -6, -3, -3],
 [6, 8, 4, 2, 2],
 [0, 0, 0, 0, 0],
 [-3, -4, -2, -1, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 23, 19, 44, 21],
 [-10, -27, 44, -62, -57],
 [-42, -2, 26, -1, -53],
 [-32, 25, -18, 61, 4],
 [26, 27, 12, 17, 23]]

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


[User]
What is the rank of the matrix:
[[-3, -35, -3, -4, 1],
 [-95, 8, -9, 38, -23],
 [1, -48, 51, 10, 29],
 [5, -38, -21, 4, -3],
 [-11, 47, -72, 5, -38]]?

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


[User]
Determine the rank of the following matrix:
[[-4, -10, 4, 0, -2],
 [26, -30, 26, 45, -25],
 [-25, 10, -36, -40, 9],
 [-16, 9, 6, -32, 11],
 [-14, 8, -48, -36, -6]]

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


[User]
What is the rank of the matrix:
[[-20, -12, 0, -12, -16],
 [-20, -12, 0, -12, -16],
 [-25, -15, 0, -15, -20],
 [20, 12, 0, 12, 16],
 [15, 9, 0, 9, 12]]?

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


[User]
What is the rank of the matrix:
[[-3, 36, 3, -24, 18],
 [-8, -16, -6, 27, -29],
 [-12, 16, -4, 8, -16],
 [-1, -4, -1, 5, -5],
 [-18, 24, -6, 12, -24]]?

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


[User]
Determine the rank of the following matrix:
[[30, 9, 0, -18, -54],
 [10, 13, -8, -10, -6],
 [-15, -42, 30, 24, -18],
 [10, -22, 20, 4, -48],
 [0, 30, -24, -12, 36]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-15, 45, -55, 25, 15],
 [10, 2, -2, 14, -2],
 [6, 30, -36, 36, 6],
 [-21, 39, -48, 12, 15],
 [-11, 41, -50, 26, 13]]

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


[User]
Determine the rank of the following matrix:
[[-10, 32, -30, 18, 21],
 [16, -8, 8, -48, -28],
 [15, 17, -7, -14, -12],
 [-1, 41, -38, -15, 7],
 [5, 37, -24, 19, 10]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, -15, -36, -2, 10],
 [32, 29, 10, 4, 24],
 [11, -27, 50, 23, -38],
 [40, 21, 18, -40, 12],
 [12, 14, -12, 16, 28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, 3, 10, 28, -9],
 [-21, -3, -12, -6, 27],
 [5, 0, -4, 14, 18],
 [6, -8, 8, 4, -12],
 [-38, -10, -4, -36, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 24, 4, -10, 24],
 [16, 44, -16, -16, 30],
 [-6, -12, -12, 6, -18],
 [3, 4, 14, -3, 12],
 [-3, 0, -30, 3, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -32, -18, -9, -26],
 [0, 20, 6, 0, 8],
 [0, -30, -9, 0, -12],
 [2, -24, -10, -3, -14],
 [6, 48, 6, -9, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 40, 20, 22, 4],
 [-12, -15, -12, 3, 12],
 [8, -20, -4, -26, -20],
 [-8, -5, -6, 6, 10],
 [12, 25, 16, 5, -8]]

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


[User]
Determine the rank of the following matrix:
[[-15, 15, 18, -3, 15],
 [0, 0, 0, 0, 0],
 [-20, 20, 24, -4, 20],
 [-10, 10, 12, -2, 10],
 [20, -20, -24, 4, -20]]

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


[User]
Determine the rank of the following matrix:
[[-9, -10, 34, -8, 0],
 [-9, -11, -1, -7, 19],
 [24, 5, -69, 17, 6],
 [18, -31, 7, 5, 28],
 [6, -15, -1, 1, 16]]

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


[User]
Determine the rank of the following matrix:
[[44, 3, 1, -29, 19],
 [-18, -10, 0, -14, 16],
 [-4, -10, 22, -2, 6],
 [26, 24, -26, 20, -27],
 [-44, -13, 17, 19, -7]]

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


[User]
Determine the rank of the following matrix:
[[2, -4, -12, -2, -6],
 [0, 10, 36, 11, 24],
 [47, -28, 6, 46, 27],
 [35, -18, -6, 29, 23],
 [9, -8, -18, 2, -3]]

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


[User]
What is the rank of the matrix:
[[36, -10, -44, -5, 7],
 [-56, 35, -4, 36, 12],
 [36, 29, 11, -31, 16],
 [-14, 9, 16, -19, -55],
 [16, -29, 20, 13, 61]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-52, 24, -34, 44, 24],
 [-20, 15, 0, 35, 10],
 [-22, -3, -1, 23, -6],
 [12, -27, 6, -28, -24],
 [70, -12, 27, -64, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -49, 1, -36, 54],
 [21, -10, -20, -12, 18],
 [27, -13, 13, -27, -48],
 [-32, 7, 23, 16, 0],
 [38, 20, -56, 5, 6]]

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


[User]
What is the rank of the matrix:
[[37, 7, 39, 49, 29],
 [-22, -8, -34, -42, -12],
 [0, -19, 23, 31, 18],
 [-51, -22, 20, 0, -16],
 [-21, 9, 3, -15, -21]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-17, -23, 2, -23, -33],
 [-1, -9, -6, -9, -18],
 [17, 23, -2, 23, 33],
 [-17, -13, 10, -13, -12],
 [14, 26, 4, 26, 42]]

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


[User]
Find the rank of the matrix:
[[11, -30, -48, -3, -2],
 [14, 5, -11, 51, -11],
 [-2, -22, 3, -7, -14],
 [-3, -13, 2, 12, -16],
 [-24, 6, 36, -28, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[-56, -9, 48, -1, -8],
 [1, -61, 23, -12, 12],
 [15, -7, -7, 3, -6],
 [-6, 53, 10, 14, -18],
 [1, -42, 11, 0, -10]]?

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


[User]
Calculate the rank of matrix A where A =
[[-23, 40, 16, -12, 25],
 [-41, 40, 5, -35, -3],
 [-28, 35, 10, -20, 11],
 [-25, 47, 2, -24, 2],
 [-28, 26, 6, -22, 2]]

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


[User]
Find the rank of the matrix:
[[-26, 23, 7, -12, -14],
 [1, -14, -8, -10, 9],
 [-22, -19, -18, -14, 11],
 [-27, 26, 11, -64, -12],
 [-28, 21, 7, -52, -10]]

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


[User]
Find the rank of the matrix:
[[-30, -10, 14, -2, 16],
 [-38, -26, 10, -12, 30],
 [-4, -16, 14, -23, 17],
 [-15, -18, 36, -24, 24],
 [-37, -15, 18, 5, 21]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-24, 15, -24, 27, -30],
 [16, -25, -8, -5, 10],
 [15, -15, 6, -12, 15],
 [-3, 30, 42, -21, 15],
 [6, -15, -12, 3, 0]]

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


[User]
Find the rank of the matrix:
[[-35, -12, 34, -39, 12],
 [13, -1, 29, 51, -10],
 [44, -32, -8, 22, 40],
 [-64, 12, 32, -23, -38],
 [33, 13, -37, 18, -2]]

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


[User]
What is the rank of the matrix:
[[33, -4, 12, 3, -8],
 [12, 8, -20, 13, 10],
 [6, 17, -27, 27, -2],
 [-48, -6, 22, -17, -18],
 [8, 1, -11, 1, 14]]?

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


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

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


[User]
Find the rank of the matrix:
[[1, -8, -40, -48, -24],
 [8, -10, 14, 3, 9],
 [7, 10, 9, 21, 10],
 [15, 24, 7, 36, 15],
 [9, 18, -50, -27, -21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, 9, 8, 5, 17],
 [9, 6, 3, 9, 18],
 [12, 8, 4, 12, 24],
 [-16, -15, -11, -14, -35],
 [5, 25, 30, -5, 25]]

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


[User]
Find the rank of the matrix:
[[-3, 25, -37, -3, -23],
 [-24, 13, -24, -7, -14],
 [6, -28, 42, 4, 26],
 [-54, -12, 6, -12, 6],
 [-12, -43, 60, 1, 38]]

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


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

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


[User]
What is the rank of the matrix:
[[-15, -3, -3, 18, 18],
 [-30, -6, -6, 36, 36],
 [15, 3, 3, -18, -18],
 [0, 0, 0, 0, 0],
 [15, 3, 3, -18, -18]]?

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


[User]
Calculate the rank of matrix A where A =
[[38, 6, -1, 11, 19],
 [-34, 12, 9, -11, -17],
 [34, -12, -9, 11, 17],
 [-34, -3, 2, -10, -17],
 [52, -6, -8, 16, 26]]

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


[User]
Calculate the rank of matrix A where A =
[[34, -21, -21, -9, 12],
 [-64, 32, -8, 27, -49],
 [-24, 18, 4, 3, -19],
 [-22, 27, -9, -9, -36],
 [36, -3, 22, -33, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -1, -2, 4, 6],
 [-3, -5, -13, 35, 39],
 [18, 6, 12, -24, -36],
 [0, -4, -11, 31, 33],
 [-5, -3, -7, 17, 21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, 2, -4, 28, 48],
 [-11, -13, 14, 10, 33],
 [-7, -21, 20, -6, 13],
 [-17, -21, -20, -6, 8],
 [13, 25, 9, 14, 1]]

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


[User]
Find the rank of the matrix:
[[27, 14, -9, -38, -10],
 [41, 6, -25, -38, -8],
 [-10, 16, 18, -38, 22],
 [45, -42, -25, 10, -44],
 [-15, -70, 33, 6, 2]]

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


[User]
Find the rank of the matrix:
[[-5, 3, -3, 6, 7],
 [-2, 40, -9, 1, 22],
 [0, -1, -11, 41, 19],
 [13, -21, 6, -42, -35],
 [-36, -16, 62, -31, -16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[25, 39, 53, 2, 33],
 [56, 12, 58, -20, 6],
 [-13, -45, -34, 11, -39],
 [-21, -1, -16, 13, 1],
 [-4, -34, 9, 50, -29]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, -19, 9, -28, 5],
 [34, 5, -12, -4, -34],
 [-2, 13, 30, -16, 15],
 [33, -29, -13, -35, -40],
 [-14, -22, -3, -10, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 0, -25, -30, -10],
 [14, -6, 26, 30, 12],
 [-13, -3, -12, -15, -4],
 [-1, -3, 3, 3, 2],
 [25, 15, 10, 15, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[11, 32, 13, 12, 11],
 [49, 57, -25, -8, -3],
 [9, 28, 24, -4, -7],
 [-26, -30, 26, -38, -18],
 [6, -10, -24, 34, -2]]

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


[User]
Determine the rank of the following matrix:
[[30, 21, -1, -3, 12],
 [-4, -21, -11, 25, -18],
 [24, -17, -20, 30, -12],
 [-42, -6, 13, -3, -12],
 [-17, 18, 13, 14, -15]]

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


[User]
Determine the rank of the following matrix:
[[8, 8, -20, 24, -8],
 [-4, -4, 10, -12, 4],
 [-10, -10, 25, -30, 10],
 [0, 0, 0, 0, 0],
 [6, 6, -15, 18, -6]]

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


[User]
Find the rank of the matrix:
[[-12, 36, -27, -15, 21],
 [-21, 9, 18, -6, 12],
 [-25, 45, -20, -20, 30],
 [-19, 39, -21, -17, 25],
 [-28, 36, -5, -17, 27]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -4, 4, -8, 16],
 [-10, 5, -5, 10, -20],
 [6, -3, 3, -6, 12],
 [-10, 5, -5, 10, -20],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-18, -9, -35, -6, 31],
 [-21, 40, 21, -17, -30],
 [16, -22, -21, 24, 28],
 [-30, -18, -23, -41, 14],
 [-3, 0, 12, -14, -14]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-18, 26, 22, -29, 42],
 [-10, -14, 14, -9, 2],
 [18, -31, -16, 27, -42],
 [6, -33, 34, -7, -6],
 [-36, -18, 37, -34, 24]]

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


[User]
Determine the rank of the following matrix:
[[0, -5, 20, -30, 30],
 [-10, -31, 4, -46, 21],
 [12, 24, 48, -24, 54],
 [12, 31, 20, 18, 12],
 [4, 5, 28, -26, 36]]

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


[User]
Find the rank of the matrix:
[[10, -11, 11, -1, -9],
 [-1, 18, -40, -15, -31],
 [18, -29, 25, 23, 25],
 [-7, 4, -8, -2, -25],
 [5, -9, -13, 12, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-37, 28, -13, 21, 19],
 [-12, 28, 27, 21, 9],
 [15, -4, 45, 11, -3],
 [2, 10, -1, -3, -2],
 [-32, 68, -8, 16, 14]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[5, 1, 34, 51, -2],
 [38, 22, -44, -44, 31],
 [15, 11, -26, -29, 13],
 [55, 35, -46, -37, 41],
 [50, 26, -42, -36, 39]]

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


[User]
Find the rank of the matrix:
[[54, 3, 2, 13, -34],
 [17, -4, -9, -16, -26],
 [11, 36, -7, -18, 13],
 [-43, 21, -30, -32, 68],
 [-34, -8, -27, -43, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[17, 37, 1, -26, -31],
 [3, 24, -34, 26, -14],
 [12, 0, -20, 14, -53],
 [41, 16, 11, -6, 0],
 [-33, 4, 6, -18, 20]]

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


[User]
Determine the rank of the following matrix:
[[26, -14, -6, 24, 20],
 [26, -14, -6, 24, 20],
 [2, -2, 3, -3, -1],
 [15, -13, 15, -12, -2],
 [-2, 2, -3, 3, 1]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -30, 18, 24, 4],
 [-2, -6, 2, 6, 2],
 [31, 18, -26, -3, 9],
 [7, 6, -6, -3, 1],
 [-23, -24, 20, 15, -1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[27, -4, 24, -11, 1],
 [-8, 4, -15, -2, -4],
 [27, -7, 3, -5, 16],
 [-20, -16, 4, 44, 36],
 [10, -8, 35, 8, 6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[14, -16, -6, -22, -20],
 [55, 26, 16, -41, 5],
 [-48, 14, -22, 33, 24],
 [20, 12, 28, 2, 34],
 [29, 22, 35, 2, 23]]

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


[User]
What is the rank of the matrix:
[[27, -19, 18, -36, -24],
 [-71, 5, 26, 28, -24],
 [63, -25, -14, -3, -19],
 [6, -19, 38, -28, -42],
 [-28, -15, 14, 18, -36]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -24, -24, 6, 18],
 [-29, -31, -29, -54, 10],
 [-14, -36, -15, -36, -6],
 [-32, 10, -7, -12, -26],
 [-25, -11, -28, 34, 4]]

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


[User]
Find the rank of the matrix:
[[-2, 7, 10, -9, 0],
 [-8, 26, 8, -28, 20],
 [-24, 5, -19, -2, -5],
 [-8, -23, -26, 28, -20],
 [0, 28, -2, -28, 38]]

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


[User]
Calculate the rank of matrix A where A =
[[-29, 11, 19, -24, -21],
 [-20, -20, -5, -20, 20],
 [6, -10, -9, 4, 14],
 [-10, 38, 29, -4, -50],
 [-13, 27, 23, -8, -37]]

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


[User]
Determine the rank of the following matrix:
[[23, 10, 26, -1, -3],
 [34, 2, 36, -10, -30],
 [-16, 4, -16, 8, 24],
 [-11, -13, -14, -5, -15],
 [-32, -13, -36, 2, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 2, -6, -6, 2],
 [2, 9, -7, -3, -7],
 [36, -6, 18, 18, -6],
 [24, -18, 24, 18, 6],
 [4, -24, 22, 12, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 7, -43, -7, -27],
 [-2, 0, 66, 14, -16],
 [18, 23, -14, -25, -43],
 [-43, -18, 12, 37, 8],
 [33, -5, 23, -25, -19]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -1, -6, 5, -6],
 [-16, 4, 24, -20, 24],
 [-16, 4, 24, -20, 24],
 [-24, 6, 36, -30, 36],
 [20, -5, -30, 25, -30]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[28, 17, 19, 2, -18],
 [4, 21, 27, 26, 6],
 [36, -6, -12, -36, -36],
 [-18, -23, -28, -18, 6],
 [-30, -8, -7, 12, 24]]

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


[User]
Calculate the rank of matrix A where A =
[[14, 10, 23, 35, 33],
 [-5, -20, 25, 5, -5],
 [5, -14, 2, 2, -54],
 [5, -4, 7, 9, -14],
 [-15, 12, -21, -27, 42]]

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


[User]
Determine the rank of the following matrix:
[[29, 21, 27, 16, 11],
 [20, 31, -21, 4, -12],
 [-6, -18, 36, 8, 20],
 [19, -2, 60, 20, 29],
 [-19, 2, -60, -20, -29]]

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


[User]
Determine the rank of the following matrix:
[[13, 12, -16, -36, 15],
 [30, 42, 30, -4, 30],
 [35, 19, -11, 26, 15],
 [12, 5, 34, 0, -10],
 [-16, -13, -14, -44, -6]]

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


[User]
Find the rank of the matrix:
[[5, -25, 7, 24, 28],
 [-10, 26, -6, -24, -36],
 [30, 12, -12, -18, 33],
 [25, -11, -3, 6, 45],
 [-25, -49, 23, 54, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[33, 0, -9, 49, -31],
 [20, 28, 48, -14, 16],
 [10, -19, -22, 10, -27],
 [17, 4, 3, 19, -11],
 [7, 17, -5, 56, 2]]

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


[User]
Find the rank of the matrix:
[[0, 14, -4, 14, 62],
 [-2, 8, -4, 4, 12],
 [41, -32, 27, 52, -5],
 [-8, 8, 5, 19, 6],
 [48, -25, -8, -11, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -9, 12, -21, 27],
 [10, -31, -13, -22, 15],
 [-11, 22, 12, 15, -18],
 [-31, -35, 27, -59, 51],
 [2, 4, -6, 16, -48]]

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


[User]
What is the rank of the matrix:
[[-18, -54, -12, -50, 40],
 [6, 30, 36, 30, -36],
 [7, 26, 18, 25, -25],
 [-9, -27, -6, -25, 20],
 [7, 17, -6, 15, -8]]?

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


[User]
Find the rank of the matrix:
[[18, -18, -33, 21, -12],
 [58, 35, -34, 39, 46],
 [24, -27, -54, 27, -24],
 [-4, 0, 54, -30, -12],
 [4, 2, 54, -38, -22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -36, 8, 12, -21],
 [10, -22, 10, -13, -15],
 [27, 18, -18, -45, 9],
 [9, -25, 18, 11, 1],
 [5, 13, 10, 7, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[17, 1, -22, -4, -14],
 [-6, 2, 36, -3, 32],
 [14, -12, -27, -1, -14],
 [26, -22, -16, -7, 8],
 [-17, 15, 34, 1, 18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-11, 53, -57, -5, -35],
 [34, 2, -18, -38, -14],
 [-33, 35, -25, 26, -19],
 [32, -32, 18, -31, 44],
 [7, -29, 31, 2, 17]]

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


[User]
What is the rank of the matrix:
[[12, 36, 24, 36, -6],
 [6, 18, 12, 18, -3],
 [10, 30, 20, 30, -5],
 [-8, -24, -16, -24, 4],
 [-10, -30, -20, -30, 5]]?

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


[User]
Determine the rank of the following matrix:
[[13, 14, -8, -8, -18],
 [-13, -30, -17, 22, -28],
 [18, 0, 13, -42, -14],
 [39, 12, 8, -30, 2],
 [0, -14, 24, -2, 48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -8, -8, 6, -22],
 [22, 4, -32, 17, 18],
 [-15, -28, 11, -23, -12],
 [21, 0, -45, 24, 12],
 [24, 8, -25, 14, 23]]

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


[User]
Determine the rank of the following matrix:
[[6, -10, 25, 23, -12],
 [13, -8, 17, 18, -4],
 [14, -6, 12, 14, 0],
 [-6, -6, 0, -2, -16],
 [-17, 6, 6, 1, 0]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-12, -37, 3, -29, -12],
 [3, -23, -9, -16, -21],
 [46, -2, 17, -32, 27],
 [9, 19, -15, 24, -13],
 [-6, 4, 15, -6, 23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 1, 5, 2, 3],
 [15, 2, 30, -11, -19],
 [-9, -1, -17, 7, 12],
 [-12, 3, -1, 18, 29],
 [-18, -3, -39, 12, 21]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 15, -15, -21, 24],
 [-3, -15, -15, 3, -12],
 [-7, 9, -29, -5, 20],
 [13, 4, 57, -18, -12],
 [7, -3, 30, -9, -12]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-13, -11, 7, 6, -14],
 [-14, -38, 6, 18, -32],
 [-25, -29, 13, 15, -32],
 [3, -21, -3, 9, -12],
 [28, 8, -16, -6, 20]]?

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


[User]
Find the rank of the matrix:
[[15, 27, 6, 0, 6],
 [20, 36, 8, 0, 8],
 [15, 27, 6, 0, 6],
 [1, 15, -2, -12, -20],
 [22, 22, 12, 16, 36]]

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


[User]
Determine the rank of the following matrix:
[[20, -49, -48, -16, 24],
 [6, -12, -10, -12, -14],
 [-10, 8, 4, 21, 28],
 [24, -42, -38, -29, -2],
 [18, -45, -42, -24, -6]]

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


[User]
What is the rank of the matrix:
[[-10, 4, -14, 8, 2],
 [23, 2, 33, -24, -13],
 [21, 42, 33, -42, -42],
 [6, 20, 10, -16, -18],
 [29, -6, 41, -26, -10]]?

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


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

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


[User]
Find the rank of the matrix:
[[16, -1, -5, 21, 7],
 [-30, 17, 19, -27, -9],
 [15, -14, -13, 9, 3],
 [34, -9, -15, 39, 13],
 [17, -10, -11, 15, 5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[36, 36, -6, 36, 24],
 [-30, -30, 5, -30, -20],
 [18, 18, -3, 18, 12],
 [-24, -24, 4, -24, -16],
 [30, 30, -5, 30, 20]]

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


[User]
What is the rank of the matrix:
[[-11, 4, -42, 41, 23],
 [-3, 3, -21, 22, 12],
 [22, 4, 24, -14, -10],
 [15, 6, 0, 9, 3],
 [-19, -4, -18, 9, 7]]?

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


[User]
Find the rank of the matrix:
[[0, -8, -16, -5, -27],
 [0, -34, 13, -28, 0],
 [0, 32, -20, 27, -11],
 [0, 12, 42, 6, 66],
 [0, -10, -11, -7, -21]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-37, -25, 10, -19, -36],
 [28, 20, -14, -16, 4],
 [63, 30, -27, -10, 49],
 [-13, -30, 3, -2, 21],
 [-9, 0, 3, -4, -17]]

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


[User]
Find the rank of the matrix:
[[13, 25, -29, 39, -8],
 [-30, -8, 48, -34, -22],
 [-5, 56, -36, 37, -41],
 [-9, -11, -21, -51, 0],
 [-3, -23, 55, 1, 26]]

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


[User]
What is the rank of the matrix:
[[4, 7, 1, -8, -6],
 [-56, 47, -47, 8, 26],
 [1, 24, -5, -18, -10],
 [24, -9, 15, -12, -10],
 [-16, 43, -25, -20, 6]]?

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


[User]
Determine the rank of the following matrix:
[[5, 12, -14, 18, 2],
 [25, 24, 32, 6, -26],
 [21, 30, -1, 28, -12],
 [-27, -30, -23, -16, 24],
 [32, 36, 26, 20, -28]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, 26, 26, -22, 4],
 [-18, -10, -23, 7, -19],
 [-20, 3, 9, -23, -56],
 [6, -7, -20, 22, 35],
 [-36, 23, -47, 1, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-25, -28, 17, 7, 3],
 [-23, -23, 32, -27, 4],
 [-20, -6, 47, 7, -8],
 [-39, -36, 36, -24, 3],
 [13, 24, 1, 36, -11]]

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


[User]
Find the rank of the matrix:
[[-23, -30, 5, -20, -11],
 [-14, 24, -4, 16, 25],
 [-24, -36, 6, -24, -15],
 [-5, 6, -1, 4, 7],
 [30, 0, 0, 0, -15]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -8, 2, -17, -3],
 [-36, 24, -6, 66, 6],
 [-24, 16, -4, 24, 8],
 [-30, 20, -5, 20, 12],
 [36, -24, 6, -56, -8]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 16, -2, 23, -19],
 [0, -4, -6, -19, 1],
 [-34, -26, 8, -15, -17],
 [-10, -18, 0, -29, 33],
 [-3, -4, 11, 17, -52]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, -11, 13, 2, -5],
 [-2, 1, -7, 2, 15],
 [6, 24, -24, -6, 0],
 [-8, -26, 22, 8, 10],
 [-2, -11, 13, 2, -5]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-45, -13, -3, 6, 14],
 [25, -30, -15, -21, -45],
 [60, 18, 0, -18, -18],
 [15, 17, 15, 24, 8],
 [-20, -17, -24, -45, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, 3, -21, 10, -29],
 [-22, 30, 10, -32, 18],
 [4, -12, -16, 20, -24],
 [-4, 0, -10, 6, -14],
 [-7, -3, -24, 17, -34]]

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


[User]
Find the rank of the matrix:
[[-2, 10, -6, -10, 4],
 [3, -15, 9, 15, -6],
 [-2, 10, -6, -10, 4],
 [-1, 5, -3, -5, 2],
 [-5, 25, -15, -25, 10]]

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


[User]
Determine the rank of the following matrix:
[[-44, 17, 31, 18, -16],
 [-68, -2, 16, -6, 8],
 [-26, 2, 7, -3, -4],
 [-2, 22, 47, 65, 12],
 [26, 3, 2, 15, 4]]

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


[User]
What is the rank of the matrix:
[[-14, -3, 31, -22, -7],
 [33, -6, 9, 45, 27],
 [-8, -2, -28, 28, -23],
 [-17, 1, -28, 7, -27],
 [-3, -4, 5, 13, -8]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-54, -24, 27, 12, -15],
 [55, 5, -13, 20, -39],
 [24, 4, -8, -12, 12],
 [30, -21, 9, 21, -48],
 [63, 5, -16, -6, -6]]

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


[User]
Find the rank of the matrix:
[[-27, 20, -66, 23, 30],
 [-14, 31, -48, -5, 35],
 [7, -34, 50, 36, -73],
 [0, 3, 4, 8, -24],
 [-22, -58, -4, 78, -38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-26, -27, -6, 10, -21],
 [26, 27, 6, -10, 21],
 [2, 6, 24, -6, -18],
 [-16, -12, 24, 0, -36],
 [16, 12, -24, 0, 36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -15, 19, 19, 11],
 [18, -63, -17, -24, -16],
 [0, 35, 21, 23, 7],
 [-16, -39, -28, -28, -2],
 [34, -29, -32, -37, -23]]

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


[User]
Determine the rank of the following matrix:
[[-30, 5, -30, -5, 10],
 [36, -6, 36, 6, -12],
 [-36, 6, -36, -6, 12],
 [6, -1, 6, 1, -2],
 [24, -4, 24, 4, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, -63, -52, -21, 33],
 [-24, 0, -40, 4, 12],
 [30, -10, 38, -7, -3],
 [-29, -2, -47, 1, -7],
 [36, -9, 45, -16, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-28, -48, 6, 2, -14],
 [-24, -16, -20, -44, 8],
 [16, -9, 33, 41, 26],
 [14, -13, 34, 44, 21],
 [-4, 0, -6, 6, -32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 30, -10, -40, 6],
 [-25, -10, 6, 6, -25],
 [-8, -17, -45, -30, -8],
 [-4, -20, 4, 24, -4],
 [-11, -32, 32, 62, -11]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, -12, 2],
 [-25, -5, 12, 16, -24],
 [-54, 30, 34, 16, 6],
 [22, -40, -20, 31, -45],
 [-10, -20, 0, 13, -33]]?

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


[User]
What is the rank of the matrix:
[[3, -9, -9, 68, -30],
 [-14, 13, 0, 69, -19],
 [18, -18, 19, -22, 15],
 [-2, 11, 6, 57, -19],
 [11, 9, -12, 21, -29]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -16, -12, 20, -8],
 [6, -12, -9, 15, -6],
 [10, -20, -15, 25, -10],
 [2, -4, -3, 5, -2],
 [12, -24, -18, 30, -12]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 12, 10, -20, -24],
 [41, 3, -39, 25, 16],
 [31, -24, -31, 10, -4],
 [-33, 24, 29, -4, 12],
 [-6, -27, 12, -27, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -18, 42, 40, 35],
 [10, 12, 75, 63, 55],
 [8, 47, -21, 5, -9],
 [32, 1, 39, 9, 23],
 [-18, -2, -24, 0, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-18, -18, -6, 6, -20],
 [18, 15, 9, 0, 15],
 [3, 22, -18, -39, 35],
 [0, -9, 9, 18, -15],
 [-9, -3, -9, -9, 0]]

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


[User]
What is the rank of the matrix:
[[12, 15, -12, 9, 6],
 [-24, -30, 24, -18, -12],
 [-8, -10, 8, -6, -4],
 [4, 5, -4, 3, 2],
 [0, 0, 0, 0, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[14, -7, -24, -5, -4],
 [-22, -28, 6, -55, 39],
 [0, 44, 10, 48, -46],
 [-34, -28, 0, -65, 35],
 [-46, 4, 32, -36, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, 8, -18, 12, 30],
 [16, -6, 8, -4, -24],
 [28, -8, 18, -12, -30],
 [-24, -1, -28, 26, -12],
 [24, -9, 12, -6, -36]]

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


[User]
Determine the rank of the following matrix:
[[44, -3, -18, -7, 39],
 [33, -16, -19, -17, 7],
 [43, -9, -12, -8, 36],
 [-12, 43, -8, 23, 29],
 [12, 9, 12, 13, 39]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [5, -15, -20, 20, -10],
 [-6, 18, 24, -24, 12],
 [-1, 3, 4, -4, 2],
 [4, -12, -16, 16, -8]]

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


[User]
Determine the rank of the following matrix:
[[-71, -18, -2, -21, -26],
 [-37, -21, 13, 16, -16],
 [-13, 37, -26, -63, 9],
 [-18, 1, -9, -10, 1],
 [-43, 5, -50, -44, 12]]

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


[User]
Determine the rank of the following matrix:
[[-3, 6, -9, 6, 15],
 [-1, 2, -3, 2, 5],
 [-6, 12, -18, 12, 30],
 [-4, 8, -12, 8, 20],
 [1, -2, 3, -2, -5]]

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


[User]
Find the rank of the matrix:
[[1, 2, -7, 16, 14],
 [-24, 31, 5, -25, -19],
 [1, 0, -8, 14, 18],
 [24, -29, -1, 19, 13],
 [70, -69, 19, 42, -14]]

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


[User]
Find the rank of the matrix:
[[-12, -6, 48, -10, -14],
 [44, -4, 4, 42, 22],
 [24, 15, -36, 25, 38],
 [-22, 48, 0, -22, -26],
 [-25, 2, 42, -22, -17]]

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


[User]
What is the rank of the matrix:
[[-20, -12, 30, 28, 2],
 [-2, 18, -5, -2, 13],
 [8, 24, -20, -16, 12],
 [2, 6, -5, -4, 3],
 [10, -18, -5, -8, -17]]?

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


[User]
What is the rank of the matrix:
[[8, -8, 25, 16, 35],
 [3, 21, 1, 6, -31],
 [-16, 1, 27, 31, 13],
 [8, 36, -4, -11, -43],
 [42, -16, -22, -24, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, 49, 13, 20, -11],
 [48, 12, 39, 24, -21],
 [-1, -49, -13, -20, 11],
 [-44, 4, -32, -16, 16],
 [-39, 9, -27, -12, 13]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[22, 22, -6, 24, 14],
 [26, 34, -4, 31, 21],
 [33, 39, -8, 40, 23],
 [-2, 16, -7, 26, -6],
 [18, -42, -36, 12, -30]]

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


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

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


[User]
What is the rank of the matrix:
[[1, 3, 2, -4, 2],
 [2, 6, 4, -8, 4],
 [0, 0, 0, 0, 0],
 [-5, -15, -10, 20, -10],
 [6, 18, 12, -24, 12]]?

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


[User]
Find the rank of the matrix:
[[-30, -55, 41, -7, -30],
 [-14, -2, -26, -46, -46],
 [-12, -6, 6, -36, -31],
 [9, 9, -16, 20, 15],
 [-3, 15, -12, -42, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 8, 20, 0, 4],
 [49, -33, 20, -34, -35],
 [-26, 16, -12, -10, -33],
 [-19, 33, -10, 48, 36],
 [38, -41, 15, -44, -29]]

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


[User]
Find the rank of the matrix:
[[-15, 27, -12, 18, 36],
 [-30, 30, -32, 20, 32],
 [24, 0, 28, 5, 5],
 [-19, 25, -22, 20, 24],
 [21, -5, 24, 0, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[34, -8, 41, -12, 13],
 [30, 29, 41, 2, 13],
 [12, 4, -2, 34, -25],
 [-12, 9, 4, -30, 26],
 [26, 20, 29, 12, 1]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 0, 0, 0, -2],
 [-30, 0, 0, 0, -5],
 [-18, 5, -25, -10, -3],
 [30, 0, 0, 0, 5],
 [12, -3, 15, 6, 2]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-47, 15, -44, -4, 16],
 [27, -39, 20, 60, 56],
 [19, 24, -4, 3, -1],
 [-21, 21, -14, -42, -32],
 [0, -4, 6, -13, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -5, 30, 25, 25],
 [6, -20, -60, -2, 16],
 [7, -16, -54, -5, 10],
 [21, 29, 6, -43, -61],
 [12, 26, 24, -28, -46]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, 32, -12, 32, 24],
 [40, -20, 48, -20, -42],
 [-5, 10, -6, 10, 9],
 [25, 10, 30, 10, -15],
 [-15, -6, -18, -6, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 0, -12, -18, 18],
 [0, 18, 54, 72, -72],
 [-30, -24, 0, 12, -12],
 [5, 6, 6, 6, -6],
 [-5, -18, -42, -54, 54]]

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


[User]
Determine the rank of the following matrix:
[[-6, -3, 18, -8, -12],
 [1, 32, 26, 27, 25],
 [-3, -4, 10, -7, -9],
 [-27, -28, -38, -17, -27],
 [11, 26, 42, 15, 17]]

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


[User]
What is the rank of the matrix:
[[-42, -24, 40, 14, -21],
 [-29, 39, 17, -66, -17],
 [-17, -57, 29, 63, -2],
 [5, -37, 5, 46, 4],
 [-24, -14, 26, 17, 7]]?

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


[User]
What is the rank of the matrix:
[[-28, -12, -7, -30, 32],
 [17, 26, 0, 23, -29],
 [-15, -36, -2, -15, 37],
 [4, 26, -29, 50, 8],
 [-33, -16, 9, -38, 8]]?

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


[User]
Find the rank of the matrix:
[[15, -18, -5, -42, 50],
 [12, -16, 0, -32, 36],
 [18, -28, 10, -44, 44],
 [-6, 10, -5, 14, -13],
 [-12, 20, -10, 28, -26]]

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


[User]
Calculate the rank of matrix A where A =
[[30, 34, -21, -40, -6],
 [8, 12, 16, -4, 12],
 [5, 15, -49, 23, -62],
 [-14, -22, -51, 4, -38],
 [-7, -5, 38, -11, 52]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 19, -26, -14, 6],
 [42, -28, 15, 15, 40],
 [7, -1, 7, -5, 38],
 [-1, -36, 44, 29, -24],
 [-34, 18, 2, -10, 28]]

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


[User]
Determine the rank of the following matrix:
[[-30, -40, 2, 19, 10],
 [27, 14, 36, 32, 20],
 [-7, 0, -24, -24, -8],
 [-17, 4, 26, 15, -46],
 [-11, -30, 18, 33, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[61, 13, 55, 9, 25],
 [42, -27, 58, -17, -39],
 [-105, -8, -63, 45, -2],
 [17, -14, -10, -52, -35],
 [31, 16, 11, -11, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-17, -27, 38, 10, 16],
 [-40, -23, 45, 31, 18],
 [15, -38, 8, -1, 46],
 [-48, 1, 7, 55, 34],
 [4, 23, -17, -3, 6]]

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


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

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


[User]
Find the rank of the matrix:
[[8, -2, -4, -4, -8],
 [-2, -8, -10, -4, -2],
 [-7, 23, 31, 16, 17],
 [-21, 18, 27, 18, 27],
 [-22, -3, 0, 6, 18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, 7, 4, 12, 12],
 [-3, -21, -10, -23, -16],
 [3, 21, 10, 23, 16],
 [0, 24, 12, 30, 24],
 [15, 17, 6, 5, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 6, 9, 8, -11],
 [24, -22, 2, 4, -33],
 [2, 15, 21, 25, -14],
 [8, -6, 18, 28, -29],
 [2, 11, 2, -3, 4]]

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


[User]
What is the rank of the matrix:
[[2, 6, -20, -22, 4],
 [8, -33, 22, 19, 46],
 [-10, 3, -39, -27, -8],
 [-18, 21, -29, -13, -48],
 [-4, -6, -12, -6, 4]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -6, 0, -12, -21],
 [-14, 9, 12, -26, -28],
 [-9, 5, -1, 12, 26],
 [7, 20, 8, 16, 19],
 [-12, -10, -8, 4, 16]]

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


[User]
What is the rank of the matrix:
[[21, -11, -54, -14, 32],
 [-9, 18, 18, -24, -42],
 [12, 8, 36, 8, -32],
 [8, 9, -18, -30, -18],
 [10, -16, -72, -16, 52]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-18, -38, 14, 12, 0],
 [-49, -9, 40, 27, 0],
 [-22, -2, 18, 12, 0],
 [6, -4, -5, -3, 0],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[37, -11, 24, 36, 42],
 [30, -28, 10, 36, 32],
 [-6, 30, 18, 6, 18],
 [-48, 45, 0, -69, -39],
 [33, -10, 35, -30, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -8, -8, 5, -2],
 [-8, 28, 34, -36, 42],
 [0, -12, -18, 22, -30],
 [6, -24, -30, 34, -42],
 [-40, 44, 26, -38, 38]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 7, -38, -18, -25],
 [-4, -1, 0, 54, 19],
 [14, 5, -36, 87, 2],
 [12, 13, -74, 18, -43],
 [14, 11, -66, 51, -28]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-36, -13, -4, -66, 22],
 [18, 21, 9, 20, -19],
 [21, -25, -1, -30, 24],
 [18, -8, 21, -38, -14],
 [30, 1, 4, -2, 5]]

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


[User]
What is the rank of the matrix:
[[-17, -37, 18, 41, 27],
 [-58, -32, 36, 18, 58],
 [61, 3, 6, -17, -30],
 [-10, 5, -66, 36, -18],
 [-30, -12, 36, -26, 44]]?

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


[User]
Determine the rank of the following matrix:
[[32, 9, -44, -12, 2],
 [-6, 12, 14, -15, 18],
 [12, -9, -24, 16, -20],
 [-20, -9, 26, 8, -2],
 [52, -12, -54, -16, -12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[32, 28, -26, -36, 28],
 [33, 30, -24, -36, 33],
 [-22, -14, 31, 30, 0],
 [-6, 0, 18, 12, 14],
 [18, 18, -9, -18, 24]]

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


[User]
What is the rank of the matrix:
[[7, -18, 16, 6, 9],
 [-37, -30, -18, -27, 19],
 [-19, -26, -10, -11, 9],
 [-19, 49, 31, 44, -32],
 [-2, 27, 35, 32, -13]]?

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


[User]
Find the rank of the matrix:
[[46, -29, 2, -2, 46],
 [10, -3, -12, -35, 5],
 [-28, 12, -18, -16, -26],
 [-18, -1, 4, 46, -6],
 [64, 1, 65, -10, 57]]

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


[User]
What is the rank of the matrix:
[[-7, 17, 44, -20, 5],
 [18, -10, 51, -32, -14],
 [-9, -29, 1, 41, -8],
 [5, -55, -5, 51, -28],
 [2, -10, -51, 25, -5]]?

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


[User]
Find the rank of the matrix:
[[-18, 32, -14, 44, -54],
 [-48, 6, -21, 10, -18],
 [12, -26, 8, -36, 42],
 [12, 36, 9, 50, -48],
 [33, 18, 3, 22, -27]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 1, 6, 15, -33],
 [-44, -21, 46, 1, -25],
 [52, 44, 2, 18, 18],
 [36, 30, -7, -49, 53],
 [12, -13, -40, 19, 29]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, -14, 11, -15, 32],
 [-1, -4, 1, 0, 2],
 [-21, -12, -3, 12, -14],
 [22, -2, 8, -15, 26],
 [26, -4, 10, -18, 32]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 5, 16, -12, -18],
 [1, -6, -1, -22, -7],
 [6, -16, -26, -12, 18],
 [0, -5, 5, -30, -15],
 [-6, 21, 21, 42, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -3, 9, -3, -3],
 [-7, -3, 9, -3, -3],
 [30, 12, -40, 9, 16],
 [13, 3, -21, -6, 15],
 [-5, 3, 15, 21, -21]]

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


[User]
Find the rank of the matrix:
[[1, 6, 0, -10, -9],
 [-16, -8, 0, 20, 20],
 [7, -2, 0, 0, -1],
 [2, 34, 0, -55, -49],
 [-18, 24, 0, -30, -24]]

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


[User]
Determine the rank of the following matrix:
[[-4, 7, -14, 10, -15],
 [-2, -31, 52, -23, 3],
 [20, 29, -24, 37, 27],
 [21, 11, 12, 32, 27],
 [6, -2, 14, 9, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[41, -31, -5, -15, 20],
 [-13, -5, 14, -37, 20],
 [19, -25, 1, -15, 8],
 [-39, 18, 3, 35, -34],
 [-17, -34, 13, 11, -10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, -14, -33, 16, 28],
 [4, 9, 33, -15, -29],
 [-12, -5, 0, 1, -1],
 [-4, -13, -51, 23, 45],
 [8, 10, 30, -14, -26]]

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


[User]
Determine the rank of the following matrix:
[[12, -24, -24, -18, -30],
 [8, -16, -16, -12, -20],
 [6, -12, -12, -9, -15],
 [12, -24, -24, -18, -30],
 [10, -20, -20, -15, -25]]

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


[User]
What is the rank of the matrix:
[[-18, 8, 25, -30, -25],
 [-18, -12, 0, 30, 30],
 [24, -4, -25, 20, 15],
 [-15, 10, 25, -35, -30],
 [-45, -10, 25, 15, 20]]?

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


[User]
What is the rank of the matrix:
[[-9, 8, -25, -29, -35],
 [-15, 13, -63, 20, -37],
 [-1, 28, 51, -34, 30],
 [-19, 50, 13, -44, -13],
 [-15, 35, 13, -62, -26]]?

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


[User]
Determine the rank of the following matrix:
[[6, 2, 4, -6, -5],
 [-28, -1, -24, 24, -11],
 [-10, 2, -12, 6, -5],
 [4, 4, -4, -9, 8],
 [10, 14, -8, -21, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -27, 39, -14, 18],
 [-30, 9, 6, -12, -34],
 [-28, -12, -7, 1, -30],
 [-21, 9, -3, 6, -14],
 [-11, -11, 34, -37, -20]]

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


[User]
Determine the rank of the following matrix:
[[-11, 33, 20, 15, 34],
 [-45, -21, -24, -25, 0],
 [5, -11, 3, -15, 11],
 [69, -23, 15, 4, -22],
 [58, -28, -17, -5, -60]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -42, 13, 50, 25],
 [45, -42, -3, -14, -13],
 [-31, 40, -3, -8, 1],
 [-69, 96, -9, -44, 3],
 [-15, 12, 3, 22, 19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -1, -8, 13, -2],
 [15, 9, -8, -11, 39],
 [-38, 12, 26, -12, -14],
 [-14, -12, -6, 28, -38],
 [-1, 13, -16, 5, 41]]

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


[User]
Find the rank of the matrix:
[[-36, -40, -34, 0, 6],
 [-22, -32, -20, -12, 24],
 [19, 26, 18, 0, 28],
 [-36, -1, -29, 38, -25],
 [19, 23, 8, 14, 6]]

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


[User]
What is the rank of the matrix:
[[-44, -2, -20, -53, 5],
 [-16, 26, -29, 10, 37],
 [-27, 15, 30, -43, -52],
 [24, -10, -2, 29, 17],
 [11, -15, 51, -19, -61]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[28, 0, -17, 4, -60],
 [7, -33, 20, 4, 31],
 [-8, 20, -34, 8, -42],
 [1, 15, 41, -36, 63],
 [-17, 21, 11, -8, 22]]

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


[User]
Find the rank of the matrix:
[[10, -22, -6, -4, 6],
 [1, 2, 3, 2, 3],
 [-7, 21, 9, 6, -1],
 [0, -21, -18, -12, -12],
 [5, 3, 9, 6, 11]]

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


[User]
Determine the rank of the following matrix:
[[-1, 4, 6, 4, -35],
 [-4, -3, 24, -3, -26],
 [0, 5, 0, 5, -30],
 [6, 17, -36, 17, -36],
 [-3, -12, 18, -12, 39]]

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


[User]
Find the rank of the matrix:
[[-13, -3, 5, -35, -19],
 [-3, -21, 27, -45, 3],
 [-15, 5, -5, -25, -25],
 [-8, 21, -26, 20, -20],
 [9, -3, 3, 15, 15]]

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


[User]
What is the rank of the matrix:
[[28, -24, 2, -16, 28],
 [-19, -6, -55, -3, -39],
 [-34, -1, -44, -1, -42],
 [-7, -16, -15, 3, -9],
 [-44, 20, -14, 4, -37]]?

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


[User]
Find the rank of the matrix:
[[6, -12, 0, 36, 18],
 [-3, -16, -4, 20, 21],
 [17, 10, 8, 26, -9],
 [-9, -37, -10, 41, 48],
 [-9, -4, -4, -16, 3]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, 9, 6, -9, 15],
 [8, 18, -9, 24, -12],
 [12, -12, -7, 10, -18],
 [24, 0, -18, 36, -36],
 [-8, 0, 6, -12, 12]]

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


[User]
What is the rank of the matrix:
[[-15, -25, -10, 25, -5],
 [0, 0, 0, 0, 0],
 [9, 15, 6, -15, 3],
 [12, 20, 8, -20, 4],
 [3, 5, 2, -5, 1]]?

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


[User]
What is the rank of the matrix:
[[3, 2, 3, 1, 3],
 [-26, -8, -26, 24, 44],
 [26, 12, 26, -10, -14],
 [-27, -10, -27, 19, 33],
 [2, 2, 2, 3, 7]]?

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 5, 15, 25, -5],
 [4, -2, -6, -10, 2],
 [-2, 1, 3, 5, -1],
 [12, -6, -18, -30, 6],
 [8, -4, -12, -20, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[20, -6, 70, -48, -10],
 [-24, -54, 42, 12, -30],
 [-19, -21, -11, 25, -8],
 [20, 24, 4, -20, 4],
 [1, -9, 23, -11, -4]]

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


[User]
Determine the rank of the following matrix:
[[23, -25, -28, -9, 22],
 [11, -15, -26, -3, 14],
 [31, -27, -10, -15, 22],
 [-16, 18, 22, 6, -16],
 [1, 5, 24, -3, -6]]

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


[User]
What is the rank of the matrix:
[[-19, -6, 37, 4, 5],
 [29, -33, 50, -8, -14],
 [33, -10, -12, -43, -62],
 [-31, 40, -6, 45, 16],
 [-10, -16, 20, 10, 40]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 15, 9, -6, -9],
 [-8, -30, -6, 24, -14],
 [20, 15, 15, 0, -25],
 [-24, -15, -18, -3, 33],
 [4, 25, 3, -22, 17]]

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


[User]
Determine the rank of the following matrix:
[[20, 12, 12, 0, 20],
 [25, 15, 15, 0, 25],
 [-15, -9, -9, 0, -15],
 [-25, -15, -15, 0, -25],
 [-20, -12, -12, 0, -20]]

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


[User]
Find the rank of the matrix:
[[18, 25, -6, -12, -30],
 [-6, -5, 4, 2, 6],
 [-24, 10, 34, -10, -12],
 [12, -20, -26, 14, 24],
 [30, 25, -20, -10, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 4, -12, -8, -8],
 [-4, -14, 18, -16, -8],
 [4, 16, -24, 12, 4],
 [-7, -24, 30, -29, -15],
 [4, 12, -12, 20, 12]]

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


[User]
Determine the rank of the following matrix:
[[21, -27, -15, -27, 36],
 [-20, -10, 9, 14, 31],
 [-34, -2, 15, 28, 26],
 [32, -24, -22, -36, 24],
 [-38, -4, 21, 32, 31]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -5, -2, 1, 4],
 [-36, 30, 12, -6, -24],
 [12, -10, -4, 2, 8],
 [18, -15, -6, 3, 12],
 [-24, 20, 8, -4, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[14, 18, -28, -12, 14],
 [16, 24, -29, -12, 16],
 [9, 15, -15, -6, 9],
 [-8, -24, 4, 0, -8],
 [17, 31, -26, -10, 17]]

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


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

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


[User]
Find the rank of the matrix:
[[-24, 21, -12, -27, -15],
 [-12, -6, -24, -18, -6],
 [28, -19, 20, 33, 17],
 [-7, 2, -8, -9, -4],
 [-40, 13, -44, -51, -23]]

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


[User]
What is the rank of the matrix:
[[25, 4, -17, -5, -18],
 [32, 8, -44, 14, 12],
 [13, 2, -3, -11, -26],
 [10, 1, -11, 7, 12],
 [-8, -3, 21, -14, -22]]?

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


[User]
Determine the rank of the following matrix:
[[-3, -4, -2, 5, 3],
 [30, 3, -19, -37, 10],
 [-10, -42, -54, 8, 30],
 [-40, -24, -18, 32, -6],
 [8, 1, -4, -9, 3]]

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


[User]
What is the rank of the matrix:
[[23, 59, 80, 42, 48],
 [-54, -24, -21, -28, -31],
 [-17, -21, -6, 12, 0],
 [64, 60, 68, 19, 39],
 [18, 19, 7, -5, 4]]?

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


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

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


[User]
Find the rank of the matrix:
[[-15, -16, 0, -55, 35],
 [-11, -14, -17, 5, 3],
 [-3, -6, -21, 45, -21],
 [-26, -32, -32, -10, 18],
 [-1, 0, 8, -25, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 18, 0, 12, 3],
 [-14, 2, 8, 36, 7],
 [-12, 26, 2, 26, 6],
 [2, -46, 8, 4, -1],
 [-8, 24, 0, 16, 4]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[11, -12, -21, 8, -8],
 [10, 0, -6, 8, -16],
 [-29, 3, 21, -23, 44],
 [16, 3, -6, 13, -28],
 [21, 3, -9, 17, -36]]

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


[User]
What is the rank of the matrix:
[[2, 32, 24, -6, 22],
 [21, -28, 68, -35, 41],
 [-54, 26, -68, 30, -10],
 [42, 1, -6, 8, -22],
 [-19, 41, 4, 3, 9]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -2, 12, -12, -10],
 [7, -6, 35, -31, -28],
 [-8, 4, -24, 24, 20],
 [34, -2, 18, -42, -22],
 [-2, 6, -34, 26, 26]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 26, 2, -28, -32],
 [-6, 21, -3, -22, -28],
 [2, -31, -7, 34, 36],
 [-4, 17, -1, -18, -22],
 [0, -18, -6, 20, 20]]

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


[User]
Determine the rank of the following matrix:
[[-16, -21, 34, 12, -6],
 [18, 31, -20, 32, -22],
 [21, -4, -39, -12, 1],
 [13, -5, -24, 5, -6],
 [7, 31, -7, 36, -19]]

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


[User]
Determine the rank of the following matrix:
[[-6, 22, 22, -11, -33],
 [-25, -20, -41, -37, 22],
 [-8, 16, 2, -21, -11],
 [-4, 18, 32, 1, -43],
 [3, 4, -3, -2, 7]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[46, 23, 46, -16, 20],
 [32, 26, 6, 12, 1],
 [0, -16, 20, -14, 0],
 [8, 8, -32, 38, -30],
 [-8, -24, 6, -3, -14]]

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


[User]
Find the rank of the matrix:
[[18, -18, 30, -24, -6],
 [9, -24, 27, -27, -15],
 [9, -4, 11, -7, 1],
 [9, 11, -1, 8, 13],
 [3, 27, -19, 26, 23]]

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


[User]
What is the rank of the matrix:
[[-26, -6, 20, 10, -34],
 [32, 1, -4, -8, -3],
 [-44, -16, 30, -22, -30],
 [0, -14, -3, -43, 29],
 [-26, 9, -2, 34, -1]]?

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


[User]
Find the rank of the matrix:
[[-9, 15, -6, 15, -6],
 [12, -20, 8, -20, 8],
 [9, -15, 6, -15, 6],
 [0, 0, 0, 0, 0],
 [-18, 30, -12, 30, -12]]

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


[User]
Determine the rank of the following matrix:
[[4, 20, 24, 4, -12],
 [-2, -9, -10, -1, 3],
 [-4, -14, -12, 2, -6],
 [5, 29, 38, 9, -27],
 [4, 17, 18, 1, -3]]

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


[User]
Find the rank of the matrix:
[[-8, 12, -20, 16, -24],
 [-8, 12, -20, 16, -24],
 [8, -12, 20, -16, 24],
 [6, -9, 15, -12, 18],
 [-10, 15, -25, 20, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 14, -19, -22, -16],
 [6, -44, 24, 37, -14],
 [0, 48, -18, -33, 30],
 [3, -14, 9, 13, -2],
 [-16, -16, -14, -7, -46]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-20, -20, 14, 11, -9],
 [-15, 18, 15, 18, 9],
 [-30, -2, 18, 20, 1],
 [-5, 50, 11, 19, 24],
 [55, -10, -61, -59, -4]]

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


[User]
What is the rank of the matrix:
[[-21, 11, 18, -34, 14],
 [15, -16, -18, 29, -16],
 [6, -35, 6, 13, 0],
 [-18, -44, 39, -26, 23],
 [-18, 18, 0, -24, 0]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -24, 36, 0, 12],
 [36, 8, -12, 24, -36],
 [-42, -4, 6, -30, 42],
 [-60, 0, 0, -45, 60],
 [-42, -12, 18, -27, 42]]

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


[User]
Determine the rank of the following matrix:
[[-10, 7, -17, -10, -29],
 [41, 55, -5, 5, 19],
 [14, 65, -4, 16, -17],
 [0, 10, -33, -18, -36],
 [-63, -11, 28, 31, -44]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 15, -9, 18, 12],
 [8, 20, -12, 24, 16],
 [0, 0, 0, 0, 0],
 [2, 5, -3, 6, 4],
 [-12, -30, 18, -36, -24]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 5, 7, 6, 14],
 [32, -19, -19, 32, -1],
 [-24, 27, 47, -32, -9],
 [-12, 6, 6, -21, -12],
 [20, -13, -15, 22, 2]]

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


[User]
Determine the rank of the following matrix:
[[2, -8, -32, 55, -22],
 [-1, 16, 32, 14, 39],
 [-8, -3, 3, 65, -6],
 [-14, 11, -3, -45, 14],
 [-4, 18, 14, -16, 36]]

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


[User]
What is the rank of the matrix:
[[8, -6, -2, 6, -6],
 [-4, 3, 1, -3, 3],
 [0, 0, 0, 0, 0],
 [-12, 9, 3, -9, 9],
 [16, -12, -4, 12, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[20, -9, 26, -5, 8],
 [-28, -9, -4, -20, 5],
 [12, 21, -24, 30, -15],
 [-8, -14, 16, -20, 10],
 [40, 6, 16, 20, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 10, 9, -6, 10],
 [24, -6, 9, 9, -24],
 [-16, 16, 8, -12, 24],
 [-24, 24, 12, -18, 36],
 [-24, -12, -30, 0, 12]]

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


[User]
Determine the rank of the following matrix:
[[8, -4, -12, -16, 24],
 [-13, -36, 33, 19, -34],
 [6, 60, 20, 14, 0],
 [-14, -42, 30, -4, -8],
 [-6, -31, -17, -7, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, -4, 0, -14, -28],
 [0, 8, 10, -6, 0],
 [-20, -12, -25, 43, 56],
 [55, -10, -26, -4, 10],
 [-10, 8, 21, -21, -36]]

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


[User]
What is the rank of the matrix:
[[-18, -18, -24, 5, 8],
 [0, -29, -23, 5, 7],
 [56, 55, -23, -12, 21],
 [20, 50, 33, 7, 2],
 [-10, 16, 20, 1, -6]]?

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


[User]
Find the rank of the matrix:
[[34, -10, 12, 10, -30],
 [-12, 0, -8, -2, 12],
 [-36, 0, -24, -6, 36],
 [-7, -5, -10, 1, 9],
 [36, 0, 24, 6, -36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, 13, -28, -1, -50],
 [37, 29, -4, 6, -38],
 [-3, 3, 14, 1, 12],
 [-14, 13, 10, 18, 16],
 [-15, -3, 24, 0, 30]]

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


[User]
Find the rank of the matrix:
[[6, 33, 18, 13, -61],
 [-9, -19, -10, 19, 41],
 [-32, 15, 4, 49, -26],
 [34, 1, 8, 35, 24],
 [-37, 2, -2, 46, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[13, -7, 8, -30, 3],
 [-9, -1, -12, -8, -6],
 [17, 9, 36, 20, 12],
 [5, 29, 60, 24, 6],
 [2, -30, -56, -8, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, -15, 21, 39, 0],
 [45, -10, -4, -37, -9],
 [-28, -7, 17, 22, -9],
 [28, -7, -6, -5, 11],
 [55, -20, -5, -10, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-46, 7, -5, 52, 1],
 [52, 33, 42, -10, -10],
 [-6, -7, 6, 13, -1],
 [6, -23, -11, -24, 3],
 [20, 21, 6, -14, -2]]

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


[User]
Determine the rank of the following matrix:
[[16, -4, 27, -9, 42],
 [25, 13, 32, 20, 18],
 [-4, -6, -16, -40, 9],
 [27, 42, 29, 42, 9],
 [-16, 2, -10, 4, 6]]

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


[User]
What is the rank of the matrix:
[[48, 33, 27, 33, 15],
 [-25, -11, 14, 27, 68],
 [-23, 27, -2, -3, 10],
 [4, -33, 26, -17, -15],
 [-19, -15, 2, -9, 5]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -30, -30, 24, -30],
 [0, -5, -5, 4, -5],
 [0, 15, 15, -12, 15],
 [0, -25, -25, 20, -25],
 [0, -15, -15, 12, -15]]

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


[User]
What is the rank of the matrix:
[[-4, 20, -18, 24, 38],
 [-14, 12, 12, 9, 9],
 [-42, 2, 28, 35, 11],
 [22, -6, -4, -29, -21],
 [-8, 6, 11, 1, 0]]?

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[User]
Calculate the rank of matrix A where A =
[[-18, -26, -6, 2, 8],
 [12, 9, 14, -3, -2],
 [6, -28, 46, -8, 12],
 [12, 24, -4, 0, -8],
 [-9, -13, -3, 1, 4]]

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


[User]
What is the rank of the matrix:
[[-15, 1, 18, -1, -3],
 [-29, -5, 14, 5, -37],
 [-19, 5, 34, -5, 13],
 [-24, -4, 12, 4, -30],
 [-16, 0, 16, 0, -8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 48, 21, 45, -7],
 [3, -48, -21, -45, 7],
 [-1, 42, 33, 41, 2],
 [-3, 42, 15, 39, -8],
 [-4, 24, -12, 20, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -6, -21, 2, -15],
 [-24, -6, -9, 11, -3],
 [-11, -24, -2, -7, 22],
 [21, 6, -37, -5, -43],
 [-50, -30, 47, 7, 77]]

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


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

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


[User]
Find the rank of the matrix:
[[29, -20, 28, -10, 7],
 [-12, 28, -4, 36, 32],
 [-2, 22, 6, 34, 36],
 [5, -16, 0, -22, -21],
 [17, -5, 19, 5, 16]]

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


[User]
Determine the rank of the following matrix:
[[-12, 0, 16, 40, -16],
 [29, -13, 41, 35, 1],
 [0, 9, -12, -48, 30],
 [10, 0, -6, -26, 14],
 [-39, 16, 5, 19, -1]]

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

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


[User]
Find the rank of the matrix:
[[-32, -30, -1, -8, 10],
 [-22, -25, -9, -9, 13],
 [10, 25, 30, 15, -25],
 [-30, -25, 5, -5, 5],
 [-8, -20, -24, -12, 20]]

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


[User]
Determine the rank of the following matrix:
[[-24, 18, -15, 9, -3],
 [-11, 29, 7, -9, -2],
 [37, -13, 50, -35, 0],
 [-2, 42, -8, 9, -23],
 [13, 1, 3, 5, -19]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -1, 10, -16, 4],
 [23, 19, 9, -3, 16],
 [11, 10, -7, 17, 2],
 [-20, -22, 10, -20, -26],
 [-10, -12, -10, 18, -32]]

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


[User]
Find the rank of the matrix:
[[-28, -37, 26, 45, 31],
 [-2, -30, -33, -28, 7],
 [-2, -15, -31, -33, 0],
 [-4, -2, 4, 26, 20],
 [8, -28, -7, -30, -20]]

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


[User]
Determine the rank of the following matrix:
[[-20, -30, 20, -22, 34],
 [-1, 3, 4, 4, -1],
 [-19, -33, 16, -26, 35],
 [-29, -3, 56, 14, 25],
 [16, -3, -34, -13, -11]]

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[User]
Calculate the rank of matrix A where A =
[[7, -18, -12, 16, -7],
 [-46, -20, -28, -36, -20],
 [-6, -60, -48, 24, -30],
 [-5, 38, 28, -24, 17],
 [31, 2, 10, 30, 8]]

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[User]
Calculate the rank of matrix A where A =
[[-28, -24, -28, 0, -24],
 [30, 23, 31, -1, 27],
 [45, -36, -17, -60, 34],
 [14, 2, -24, -6, 46],
 [10, 14, 20, 6, 10]]

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[User]
Calculate the rank of matrix A where A =
[[-4, -16, 0, -8, 0],
 [6, 30, -6, 15, 6],
 [-6, -22, -2, -11, 2],
 [4, 4, 12, 2, -12],
 [-4, -12, -4, -6, 4]]

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[User]
Calculate the rank of matrix A where A =
[[5, 23, 28, 9, 14],
 [4, 19, 23, 9, 13],
 [6, 26, 32, 6, 12],
 [4, 22, 26, 18, 22],
 [-4, -22, -26, -18, -22]]

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


[User]
Find the rank of the matrix:
[[-8, 10, -17, -7, -5],
 [-26, 28, -38, -10, -8],
 [2, 2, -13, -11, -7],
 [34, -32, 32, 0, 2],
 [33, -30, 27, -3, 0]]

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[User]
Determine the rank of the following matrix:
[[9, 44, -1, 1, 13],
 [33, -2, -27, 27, 1],
 [3, -32, -7, 7, -9],
 [39, 4, -31, 31, 3],
 [21, 28, -13, 13, 9]]

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

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[User]
Determine the rank of the following matrix:
[[27, 1, -18, 5, 55],
 [-22, 7, 6, -12, -39],
 [11, -12, -13, -7, 5],
 [24, -39, -79, -60, -16],
 [-2, 22, -13, -8, 19]]

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[User]
Calculate the rank of matrix A where A =
[[-30, -26, 28, -29, 30],
 [-22, -9, 32, 1, 10],
 [59, -25, -101, 18, 1],
 [1, -2, -7, -6, 3],
 [-29, -9, 43, 14, 9]]

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


[User]
What is the rank of the matrix:
[[14, 20, -4, 6, 22],
 [5, 4, 2, 5, 5],
 [9, 16, -6, 1, 17],
 [15, 1, 18, 25, 5],
 [30, 35, 0, 20, 40]]?

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


[User]
Find the rank of the matrix:
[[-20, 27, 22, 8, 24],
 [-3, -23, -1, -4, -14],
 [-2, -22, 2, -4, -16],
 [-50, 3, 16, 8, 36],
 [52, -23, -30, -12, -44]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-5, 25, 20, -30, -15],
 [-4, 20, 16, -24, -12],
 [2, -10, -8, 12, 6],
 [-6, 30, 24, -36, -18]]

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


[User]
What is the rank of the matrix:
[[3, 4, -3, 28, 25],
 [-13, 32, -13, 26, 34],
 [8, -47, 3, -56, -54],
 [13, -33, 14, -30, -38],
 [4, -33, -3, -36, -32]]?

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


[User]
Determine the rank of the following matrix:
[[0, 2, 3, -5, 5],
 [0, -4, -6, 10, -10],
 [0, 12, 18, -30, 30],
 [0, -10, -15, 25, -25],
 [0, -6, -9, 15, -15]]

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


[User]
Determine the rank of the following matrix:
[[7, -11, 49, -13, 48],
 [38, -10, 32, 6, 16],
 [0, -38, 23, 22, 9],
 [17, -5, 3, 9, -6],
 [-41, 5, -39, 1, -25]]

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


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

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


[User]
What is the rank of the matrix:
[[-16, -2, -20, 32, -26],
 [29, 9, 19, 8, -31],
 [20, -10, 30, -46, 7],
 [8, 2, 4, 8, -18],
 [-14, -11, -2, -26, 28]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[53, -18, -23, -5, -56],
 [59, -14, -40, -33, -37],
 [-5, 41, -13, 12, 19],
 [37, -7, -17, -1, -38],
 [-23, -4, 40, 6, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[19, 13, -28, -23, 43],
 [-4, -24, -6, 8, -16],
 [6, 26, 22, -18, 18],
 [4, 25, -32, 4, 32],
 [-10, 0, 7, 0, 28]]

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


[User]
Determine the rank of the following matrix:
[[19, 11, 6, 46, -32],
 [12, 8, 4, 32, -24],
 [-11, -4, -3, -20, 10],
 [-18, -2, -4, -20, 0],
 [11, -1, 2, 6, 8]]

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


[User]
Find the rank of the matrix:
[[-24, -31, -18, -25, 10],
 [12, 17, 0, 14, 7],
 [24, 35, -6, 29, 22],
 [-24, -32, -12, -26, 2],
 [4, 9, -20, 8, 29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 5, 4, -16, 9],
 [12, -5, 4, -35, 4],
 [5, -25, 37, 29, -15],
 [-48, 87, -61, 2, 53],
 [20, -12, 25, 26, -6]]

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


[User]
Find the rank of the matrix:
[[11, -11, 9, 12, -5],
 [2, 46, -8, -12, 6],
 [6, -6, -13, 10, -2],
 [11, 25, 27, 0, -23],
 [-14, -84, 48, 2, 16]]

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


[User]
Find the rank of the matrix:
[[15, -34, -32, -9, -36],
 [-12, 7, 19, 9, 22],
 [33, 16, 17, -3, -12],
 [51, -23, -4, 14, -32],
 [-6, -30, 36, 28, 26]]

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


[User]
Determine the rank of the following matrix:
[[5, 2, 20, -33, 8],
 [-15, -31, 15, -15, -6],
 [-2, 15, -27, 8, 32],
 [31, 38, 16, -3, -20],
 [9, 1, 29, -31, -8]]

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


[User]
What is the rank of the matrix:
[[-28, 8, -3, -18, 8],
 [4, -14, 4, 14, -4],
 [-12, -12, 3, 6, 0],
 [-42, -15, 3, -3, 6],
 [54, 9, -1, 13, -10]]?

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


[User]
Determine the rank of the following matrix:
[[-12, -18, -18, 21, 67],
 [-15, -22, -23, 4, 57],
 [-6, 16, 14, 2, -24],
 [-7, 6, 4, -9, -17],
 [32, 4, 9, -7, -38]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 18, -15, 0, 9],
 [-8, -24, 20, 0, -12],
 [8, 24, -20, 0, 12],
 [4, 12, -10, 0, 6],
 [6, 18, -15, 0, 9]]

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


[User]
Find the rank of the matrix:
[[17, 26, -31, 10, 3],
 [-39, 6, 9, -3, 2],
 [-20, -70, 54, -36, -14],
 [9, -2, -19, -51, -16],
 [57, -14, -7, 1, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, -46, -30, -4, 36],
 [-15, 13, 9, 4, -18],
 [-30, 61, 39, 1, -36],
 [-20, 29, 19, 3, -24],
 [30, -26, -18, -8, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [-20, 0, -12, 8, 12],
 [20, 0, 12, -8, -12],
 [-10, 0, -6, 4, 6],
 [25, 0, 15, -10, -15]]

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


[User]
What is the rank of the matrix:
[[-68, -1, 2, -6, -60],
 [-20, 40, 0, 40, 35],
 [-42, 15, -1, 12, -13],
 [-4, -18, -4, -20, -19],
 [20, -15, 0, -14, -3]]?

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


[User]
Determine the rank of the following matrix:
[[-8, 23, -6, -7, 3],
 [-4, 7, 0, -1, 3],
 [14, -2, -15, -9, -18],
 [22, -7, -21, -12, -27],
 [-24, 42, 0, -6, 18]]

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


[User]
What is the rank of the matrix:
[[21, 6, -3, 3, 24],
 [20, -2, 16, 10, 16],
 [24, 4, 4, 4, 20],
 [-4, -4, 8, 0, -12],
 [-12, -3, 0, 1, -6]]?

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


[User]
What is the rank of the matrix:
[[-3, -16, -15, -3, -10],
 [4, 30, -10, 6, 19],
 [0, 40, -24, 24, 46],
 [-34, -22, 28, -36, -30],
 [-41, -20, 1, 5, 20]]?

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


[User]
What is the rank of the matrix:
[[-4, -10, 8, -12, 4],
 [32, 60, -9, 41, -2],
 [-14, -27, 6, -20, 2],
 [0, 12, -33, 33, -18],
 [20, 30, 15, 5, 10]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 0, 30, -6, -9],
 [22, -12, 1, 31, 72],
 [-20, 8, -19, 9, 16],
 [-2, 4, 8, -18, -40],
 [17, -10, 5, 14, 34]]

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


[User]
Determine the rank of the following matrix:
[[-48, -54, -6, -6, 12],
 [-32, -36, -4, -4, 8],
 [16, 18, 2, 2, -4],
 [23, 21, -8, 4, 7],
 [-21, -9, 30, -6, -33]]

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


[User]
What is the rank of the matrix:
[[19, 16, 13, 41, 32],
 [-3, 33, 2, 36, -8],
 [-9, -18, -3, -32, -15],
 [27, -13, 18, 19, 51],
 [-27, 50, -18, 62, -21]]?

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


[User]
What is the rank of the matrix:
[[-15, 12, 27, 39, 3],
 [-8, 2, 6, 10, -4],
 [21, -8, -21, -33, 7],
 [-32, -3, 3, 13, -30],
 [23, 8, 9, 5, 29]]?

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


[User]
Calculate the rank of matrix A where A =
[[-11, -39, -2, -5, 29],
 [-60, -24, -10, 56, -25],
 [31, 39, -1, -13, -15],
 [-18, -6, -1, 16, -8],
 [-11, -3, 4, 7, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -11, -8, 12, -7],
 [-44, -15, -30, 24, -9],
 [12, 38, 8, -12, 34],
 [12, -3, -4, -1, -4],
 [42, 27, -24, -6, 21]]

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


[User]
Find the rank of the matrix:
[[-1, -29, -22, 6, 34],
 [25, 16, -25, -14, 34],
 [-32, -42, -16, 39, 34],
 [17, 9, -8, -15, 8],
 [19, 0, -15, -16, 18]]

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


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

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


[User]
What is the rank of the matrix:
[[7, -16, -8, -14, 14],
 [-12, 12, 2, 8, -12],
 [66, -12, 30, 12, 24],
 [2, -20, -14, -20, 16],
 [34, -16, 8, -4, 20]]?

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


[User]
Find the rank of the matrix:
[[-3, 50, 13, -4, 21],
 [6, 41, 8, 6, 26],
 [-36, -4, 42, 50, 24],
 [-30, -48, 22, 36, -6],
 [-6, 45, 16, 2, 22]]

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


[User]
What is the rank of the matrix:
[[5, -8, 0, -8, 14],
 [-15, -18, -21, -4, -14],
 [-30, 12, -18, 24, -60],
 [30, 24, 36, 0, 36],
 [-30, -12, -30, 8, -44]]?

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


[User]
Find the rank of the matrix:
[[16, 3, 45, -25, 37],
 [40, -17, 14, -35, -12],
 [17, 15, 14, -23, 14],
 [34, 30, -30, -34, -26],
 [-9, 18, 15, 0, 27]]

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


[User]
What is the rank of the matrix:
[[48, -18, 32, -12, 34],
 [11, 56, -9, 34, 5],
 [1, 9, -3, -4, -18],
 [-24, 3, -2, 6, -7],
 [-10, 19, -16, 16, -1]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-41, -32, 45, 14, -50],
 [4, 6, -8, 24, 2],
 [-12, -9, 5, 38, 5],
 [-21, -12, 2, -10, -25],
 [11, 22, -34, 54, -11]]

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


[User]
Find the rank of the matrix:
[[33, -22, -40, -12, -16],
 [-53, -68, 14, 59, 45],
 [35, 29, -36, -38, -33],
 [20, 82, 6, -53, -41],
 [-69, 9, 38, 15, 2]]

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


[User]
Find the rank of the matrix:
[[-45, -36, 5, 28, 6],
 [32, 14, -9, 13, 26],
 [-14, 10, 3, 25, -10],
 [-48, -12, 31, 35, -42],
 [-20, -8, 24, 9, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[33, -42, -27, -11, 36],
 [0, -1, -1, 56, 6],
 [-2, -9, -29, 26, -4],
 [36, -41, 1, -32, 62],
 [-28, 40, 21, 2, -47]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, -2, -11, -2, -8],
 [30, 21, 30, 3, 30],
 [19, 0, 19, 4, 12],
 [-6, -8, -6, 0, -8],
 [-18, 14, -18, -6, -4]]

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


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

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