[User]
Compute the rank of the given 5x5 matrix:
[[-22, 14, -29, -22, -4],
 [8, -19, 43, 42, 20],
 [-32, 22, -46, -36, -8],
 [38, -16, 31, 18, -4],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[40, -10, 16, -30, -26],
 [18, -24, 6, -24, -39],
 [-8, 20, 8, 12, 24],
 [28, -15, -12, -17, -15],
 [-22, 19, 16, 15, 18]]?

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


[User]
Calculate the rank of matrix A where A =
[[-5, 4, -3, 10, 9],
 [-20, 25, -5, -55, 25],
 [-47, 39, -12, -23, 12],
 [42, -30, 0, 42, -18],
 [7, 29, -27, -56, 27]]

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


[User]
Determine the rank of the following matrix:
[[-27, -54, 43, -9, 41],
 [-1, -7, 2, -7, -1],
 [-47, -32, 23, -14, 9],
 [38, -7, 15, 21, 38],
 [-1, 14, -13, -2, -17]]

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


[User]
Determine the rank of the following matrix:
[[30, 6, 36, 12, 0],
 [20, 4, 24, 8, 0],
 [5, 1, 6, 2, 0],
 [30, 6, 36, 12, 0],
 [5, 1, 6, 2, 0]]

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


[User]
Find the rank of the matrix:
[[3, 13, 0, 0, -7],
 [3, 5, -24, 0, -47],
 [2, -10, 20, 0, 26],
 [-18, 22, -4, 0, 46],
 [-24, 28, -22, 0, 34]]

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


[User]
What is the rank of the matrix:
[[-25, -4, 33, -27, -13],
 [-9, -15, -3, -9, -9],
 [3, -58, 13, 21, -9],
 [-22, -26, 34, -20, -7],
 [-18, -1, 22, -28, 15]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[40, -35, 0, -57, 13],
 [-4, -31, 40, -9, 41],
 [-17, 36, -25, 37, -31],
 [25, -38, 15, -15, 31],
 [15, 5, -25, 16, -14]]

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


[User]
Determine the rank of the following matrix:
[[-46, 1, 23, 9, -7],
 [32, -16, 12, 29, -5],
 [34, -10, -8, -11, 3],
 [-17, -53, 61, 33, -49],
 [86, 24, -57, -5, 37]]

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


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

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


[User]
Determine the rank of the following matrix:
[[29, 17, -18, 41, -12],
 [-18, -19, 1, -33, -20],
 [37, -14, -7, 24, 4],
 [-20, 1, 18, -19, 5],
 [-27, -12, -5, -34, -2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-40, -9, -22, 26, -26],
 [-24, -12, -8, 16, -16],
 [-14, -18, 4, 10, -10],
 [-6, 30, -28, 2, -2],
 [-40, -9, -22, 26, -26]]

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


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

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


[User]
Find the rank of the matrix:
[[-13, -3, 15, -3, 1],
 [-40, 6, 3, -5, -13],
 [30, -18, 36, 0, 24],
 [4, -6, 15, -1, 7],
 [-12, 18, -45, 3, -21]]

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


[User]
Determine the rank of the following matrix:
[[15, -24, -16, -3, 17],
 [4, -4, -1, 0, 4],
 [-14, -1, 7, 2, 8],
 [-14, -22, -25, -6, 10],
 [16, 29, 6, 0, -34]]

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


[User]
Calculate the rank of matrix A where A =
[[26, 12, -16, -13, 6],
 [54, 21, 9, -54, 17],
 [18, -5, -41, -15, 17],
 [-28, -34, -8, 26, -6],
 [42, 66, 45, -15, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[38, 3, -25, -30, -42],
 [-8, -15, -5, 8, -24],
 [23, 2, -13, -36, -37],
 [-37, 4, 38, 16, 58],
 [8, -17, 8, 30, 13]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -34, 9, -4, 20],
 [-27, -40, -45, -1, -10],
 [-5, -14, -32, 13, -22],
 [36, 22, -24, 43, -16],
 [-22, -7, 2, -23, -19]]

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


[User]
Calculate the rank of matrix A where A =
[[19, -11, 6, 11, -18],
 [-39, 18, -9, -18, 42],
 [28, -33, 21, 33, -8],
 [18, -44, 30, 44, 20],
 [-21, 32, -21, -32, -2]]

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


[User]
What is the rank of the matrix:
[[9, 20, 0, 8, 2],
 [25, -18, 20, -4, 32],
 [-9, -63, 15, -27, 15],
 [27, 9, 11, 9, 23],
 [51, -15, 21, 15, 51]]?

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


[User]
Calculate the rank of matrix A where A =
[[-18, -3, -15, 9, 18],
 [-12, -2, -10, 6, 12],
 [-36, -6, -30, 18, 36],
 [-6, -1, -5, 3, 6],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[5, 21, -9, -6, -10],
 [32, -19, -13, -27, 5],
 [-21, -3, -19, 9, 10],
 [-15, -15, 11, 29, 42],
 [-39, -4, 2, 23, -1]]?

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


[User]
Find the rank of the matrix:
[[19, 11, -7, -2, 33],
 [-14, -1, 35, 10, -3],
 [31, 2, -36, -12, 10],
 [54, -8, 6, -6, -6],
 [-18, 20, -14, 2, 46]]

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


[User]
What is the rank of the matrix:
[[-57, -81, 7, -17, -70],
 [-22, -33, 5, -17, -39],
 [20, 33, 1, -9, 0],
 [11, 35, 38, 3, 77],
 [-5, 4, -13, 10, -27]]?

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


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

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


[User]
What is the rank of the matrix:
[[-6, -9, 15, 12, 18],
 [10, 15, -25, -20, -30],
 [8, 12, -20, -16, -24],
 [6, 9, -15, -12, -18],
 [12, 18, -30, -24, -36]]?

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


[User]
Determine the rank of the following matrix:
[[10, 8, 32, 11, -23],
 [8, 2, 4, 5, 5],
 [-46, -39, -32, 21, 14],
 [8, 0, -44, -19, 47],
 [-2, 5, -16, -21, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-42, -35, -51, -19, -9],
 [-28, -28, -39, -10, -4],
 [30, 5, 15, 25, 15],
 [-2, -19, -21, 9, 7],
 [26, 23, 33, 11, 5]]

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


[User]
Determine the rank of the following matrix:
[[-8, -58, -6, 54, -18],
 [-35, 2, -46, -4, -30],
 [-31, 13, -39, -6, -32],
 [8, -50, 10, 34, 10],
 [15, 9, 13, -26, 32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 46, -6, 13, -4],
 [-6, 18, -54, 7, 26],
 [57, -23, 7, -19, -5],
 [13, 26, 8, 19, -10],
 [35, 11, -67, -13, 31]]

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


[User]
Find the rank of the matrix:
[[2, -4, -23, -4, -2],
 [-10, 8, 1, 20, -32],
 [-24, -24, -21, -6, -12],
 [24, 52, -14, 48, -58],
 [22, 8, 26, -14, 40]]

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


[User]
Determine the rank of the following matrix:
[[-8, -16, 13, -31, -1],
 [-86, -72, 3, -35, -95],
 [8, 38, -41, 35, 15],
 [14, -30, -38, -32, -4],
 [6, 10, -3, 36, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-51, 33, 16, 24, 0],
 [12, -5, -10, 9, -1],
 [-1, -18, 29, 9, -39],
 [19, 8, -34, -27, 37],
 [-20, 5, 5, 60, -3]]

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


[User]
What is the rank of the matrix:
[[15, -10, 76, 1, -19],
 [-12, -5, -33, -5, 5],
 [19, 25, -13, 22, -32],
 [-16, -20, -16, -3, -29],
 [8, -5, -1, -7, -1]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 4, 9, 2, -1],
 [8, -8, -2, 0, 10],
 [-28, 28, 31, 6, -23],
 [4, -4, 19, 5, 15],
 [24, -24, -26, -5, 20]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-6, 15, 12, 12, 18],
 [10, -25, -20, -20, -30],
 [6, -15, -12, -12, -18],
 [2, -5, -4, -4, -6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, 1, -2, -3, -12],
 [25, 11, 4, -7, 17],
 [-6, -6, 12, 18, 30],
 [-19, 86, 49, -37, -14],
 [-12, -34, -10, 24, 10]]

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


[User]
Find the rank of the matrix:
[[37, 16, 10, 24, 8],
 [-21, 7, -6, -1, 9],
 [1, 9, 10, 19, 20],
 [4, -5, 28, 11, 3],
 [-1, 10, -6, 0, 0]]

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


[User]
Find the rank of the matrix:
[[7, 24, 23, 2, -24],
 [-47, 26, 47, 38, -41],
 [-16, -36, -17, -14, 17],
 [18, -44, -42, -36, 38],
 [-48, -16, 18, 12, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 17, -3, 11, -6],
 [-4, 7, -9, 5, -2],
 [4, 23, -6, 15, -8],
 [-4, 7, -9, 5, -2],
 [-8, 20, -21, 14, -6]]

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


[User]
Find the rank of the matrix:
[[-6, 5, 2, 1, -1],
 [1, 10, -17, -21, -14],
 [3, -9, 9, 12, 9],
 [21, -11, -17, -16, -5],
 [-55, 35, 35, 30, 5]]

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


[User]
What is the rank of the matrix:
[[-2, 1, -4, 4, 6],
 [12, -6, 24, -24, -36],
 [0, 0, 0, 0, 0],
 [-2, 1, -4, 4, 6],
 [12, -6, 24, -24, -36]]?

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


[User]
Determine the rank of the following matrix:
[[-38, -10, -21, -6, -37],
 [-22, -19, -15, 9, -13],
 [1, 4, 10, -4, 2],
 [-6, -42, -5, 48, 37],
 [8, 13, -13, 5, 9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 0, 2, 1, -10],
 [-8, 20, 16, -2, -10],
 [8, -2, -4, -1, 13],
 [-20, -10, 0, 5, -35],
 [0, 30, 20, -5, 5]]

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


[User]
What is the rank of the matrix:
[[12, 4, -9, -27, -2],
 [-4, 0, 2, 11, 0],
 [-12, 4, 3, 39, -2],
 [-4, -16, 14, -13, 8],
 [-12, 12, -3, 51, -6]]?

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


[User]
Find the rank of the matrix:
[[52, -46, -44, 23, 13],
 [-12, -1, 17, -36, -73],
 [-60, 32, 58, -19, -11],
 [20, -36, -18, 32, -4],
 [12, -19, -5, 3, 8]]

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


[User]
Find the rank of the matrix:
[[-12, 8, 12, 8, 6],
 [14, -8, -14, -44, 5],
 [34, -23, -34, -14, -20],
 [10, -7, -10, 2, -8],
 [28, -18, -28, -36, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 6, -6, 8, -12],
 [-15, -9, 9, 18, -24],
 [20, -24, 24, -12, 20],
 [30, -30, 30, -20, 32],
 [-15, 9, -9, 12, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -13, 18, 47, 2],
 [-32, -14, 17, 14, -16],
 [-62, 36, 12, -30, -31],
 [-4, 23, -8, -25, -2],
 [18, -36, -10, -6, 9]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 4, -20, -8, 12],
 [12, -18, -8, 25, 46],
 [32, -27, 6, 24, -8],
 [-22, 26, -44, -44, -16],
 [-15, 19, -14, -29, -26]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -12, -3, -9, 15],
 [6, 24, 6, 18, -30],
 [-6, -24, -6, -18, 30],
 [0, 0, 0, 0, 0],
 [-2, -8, -2, -6, 10]]

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


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

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


[User]
Find the rank of the matrix:
[[65, -39, 8, -10, -24],
 [-38, 18, 24, 0, 4],
 [1, -14, -39, 8, 11],
 [-69, 36, -15, 12, 27],
 [13, 6, 1, -2, -3]]

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


[User]
What is the rank of the matrix:
[[-7, -7, -2, -21, 16],
 [-24, -35, 23, -17, -8],
 [-2, -6, 4, -18, 4],
 [-8, -9, 2, -11, 7],
 [-28, -16, -17, -24, 49]]?

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


[User]
What is the rank of the matrix:
[[-40, -30, -5, 56, 44],
 [-21, -5, 29, 33, -27],
 [27, 21, 8, -39, -39],
 [-54, -34, 12, 78, 30],
 [34, 26, 10, -50, -50]]?

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


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

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


[User]
Find the rank of the matrix:
[[-25, -25, 30, 10, 30],
 [25, 25, -30, -10, -30],
 [0, 0, 0, 0, 0],
 [-25, -25, 30, 10, 30],
 [-10, -10, 12, 4, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -32, -14, -26, -38],
 [-11, -4, 10, 19, 0],
 [3, 4, 0, -5, 2],
 [-10, -6, 2, 19, 1],
 [-1, -34, -29, -1, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 12, 21, -17, -30],
 [-7, -2, -21, 5, 42],
 [-3, -2, -21, 29, 6],
 [12, -21, 12, -8, -3],
 [17, -6, 42, -16, -69]]

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


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

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


[User]
Determine the rank of the following matrix:
[[10, -6, -17, -22, 8],
 [-10, -38, 3, 50, -36],
 [17, 70, 30, -4, -27],
 [34, 18, -2, 11, -68],
 [-14, 0, 10, 8, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[7, 16, 6, 49, 6],
 [5, -17, -43, -50, 4],
 [35, -4, -42, -9, 40],
 [-46, 23, -3, 20, -49],
 [9, 61, -29, -36, 72]]

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


[User]
Calculate the rank of matrix A where A =
[[16, -16, 0, 8, 4],
 [5, -38, 0, 22, -10],
 [-11, 22, 0, -12, 1],
 [0, 0, 0, 0, 0],
 [17, -6, 0, 2, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 5, 11, -3, 38],
 [1, 5, 13, 29, 14],
 [-15, 53, 5, -3, 14],
 [11, -41, 5, 19, 2],
 [3, -49, 5, 3, 18]]

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


[User]
Determine the rank of the following matrix:
[[-24, 20, -12, 4, -8],
 [6, -5, 3, -1, 2],
 [-36, 30, -18, 6, -12],
 [-36, 30, -18, 6, -12],
 [30, -25, 15, -5, 10]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-4, 16, 8, -4, 28],
 [5, 13, -21, -28, -13],
 [-3, 9, 7, 0, 19],
 [-4, -2, 14, 14, 16],
 [3, 9, -13, -18, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -7, -17, -18, -19],
 [68, 64, 15, -53, 33],
 [33, 0, -21, 6, 3],
 [-23, -11, 7, 10, -50],
 [16, -14, -24, 6, -28]]

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


[User]
Determine the rank of the following matrix:
[[-30, 8, 9, 15, 60],
 [4, -48, 42, -10, 24],
 [44, 38, -28, 61, -12],
 [-14, -6, 2, -49, -49],
 [40, 44, 5, 71, -7]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-11, 13, -14, -14, 14],
 [-6, -18, 9, 27, -12],
 [-24, 24, -12, -30, -12],
 [25, 21, -13, -34, 36],
 [-10, -14, 7, 22, -14]]

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


[User]
Find the rank of the matrix:
[[0, -21, -6, -13, 9],
 [0, -10, 12, -10, 0],
 [32, -14, 40, -38, -3],
 [-18, 8, -48, 28, 9],
 [-19, 24, -26, 34, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, 30, -15, 6, -2],
 [-2, -48, -54, 36, 43],
 [31, 12, 6, 28, -11],
 [11, 36, 12, -8, -18],
 [23, 12, 30, 12, -23]]

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


[User]
What is the rank of the matrix:
[[0, 8, 18, 5, 31],
 [-71, -7, -54, 15, 10],
 [66, -11, 56, -4, 17],
 [-7, 32, -12, 9, -1],
 [-10, -15, 6, -33, -34]]?

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


[User]
Determine the rank of the following matrix:
[[6, 21, 6, 12, -12],
 [-5, 20, 1, 20, -20],
 [-15, 10, -5, 20, -20],
 [21, 36, 15, 12, -12],
 [-30, -5, -14, 20, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[57, -29, -13, 0, 5],
 [-37, -7, -15, -30, -23],
 [0, -3, -36, 9, -27],
 [50, -14, 29, 3, 2],
 [-21, -1, -3, -15, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 2, -15, 8, 10],
 [8, -11, 24, -8, -30],
 [15, -8, 33, -16, -34],
 [-3, 30, -9, -20, -6],
 [0, 34, -12, -20, 8]]

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


[User]
Determine the rank of the following matrix:
[[19, 13, -6, -6, -43],
 [11, -12, -14, 23, 0],
 [-8, 39, -4, -44, 6],
 [10, 17, 6, -11, 5],
 [7, -10, -2, 11, -28]]

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


[User]
Determine the rank of the following matrix:
[[-12, 9, -30, -6, -27],
 [24, -18, 60, 12, 54],
 [23, 16, 5, -13, 1],
 [20, -15, 50, 10, 45],
 [-11, -25, 25, 19, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -34, -43, -31, -35],
 [10, 27, 36, 15, 25],
 [-29, 7, 6, 24, 19],
 [31, -36, -40, -61, -44],
 [66, -42, -42, -96, -60]]

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


[User]
What is the rank of the matrix:
[[11, 9, -9, 12, -14],
 [-47, 17, -1, -10, 53],
 [24, -14, 14, -2, -31],
 [-41, 7, 3, -14, 48],
 [45, -24, 9, 3, -51]]?

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


[User]
What is the rank of the matrix:
[[24, 0, 16, -24, 4],
 [36, 0, 24, -36, 6],
 [-12, 0, -8, 12, -2],
 [18, 0, 12, -18, 3],
 [30, 0, 20, -30, 5]]?

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


[User]
Determine the rank of the following matrix:
[[-18, 14, 9, -16, 0],
 [26, -5, -12, 38, -29],
 [8, -10, -34, 16, -48],
 [-12, -9, 16, -14, 14],
 [-2, -23, -6, -6, -1]]

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


[User]
Find the rank of the matrix:
[[-30, 10, -30, -15, 20],
 [0, -6, 0, -33, 6],
 [-30, 16, -30, 18, 14],
 [18, -10, 18, -13, -8],
 [-6, -2, -6, -25, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-15, 24, -48, -6, 87],
 [40, 18, 49, 20, -23],
 [15, -14, 3, -2, -12],
 [15, 22, 36, 16, -15],
 [20, -34, -17, -12, -5]]

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


[User]
Determine the rank of the following matrix:
[[-1, -11, 5, -6, 3],
 [-5, 0, -41, -19, 48],
 [6, 66, -30, 36, -18],
 [1, 31, -29, 10, 9],
 [5, 35, -1, 26, -27]]

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


[User]
Calculate the rank of matrix A where A =
[[-23, 19, 10, 18, -19],
 [-20, 16, 6, 12, -16],
 [-30, 4, 7, -18, -24],
 [27, -1, -3, 24, 21],
 [-39, 15, 4, -12, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 31, -19, 21, 6],
 [-6, -15, 17, -13, 12],
 [15, 27, -35, 25, -30],
 [18, 17, -31, 19, -36],
 [-27, -15, 39, -21, 54]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-36, 18, -18, -24, 36],
 [-6, 11, -11, 8, 10],
 [30, -23, 23, 8, -34],
 [-24, 8, -8, -22, 22],
 [36, -22, 22, 18, -38]]

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


[User]
Find the rank of the matrix:
[[-3, -3, 5, 1, -5],
 [0, 0, 0, 0, 0],
 [15, 15, -25, -5, 25],
 [6, 6, -10, -2, 10],
 [9, 9, -15, -3, 15]]

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


[User]
Find the rank of the matrix:
[[13, 47, 70, -19, 20],
 [-32, -13, -3, -12, -6],
 [7, 41, 54, -6, 15],
 [3, 18, 25, -17, 21],
 [14, 30, 0, -9, 67]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[33, -30, 39, 3, -33],
 [6, -9, -30, -51, 39],
 [13, -2, -4, -10, 11],
 [-16, 23, -26, 1, 25],
 [-31, 38, 13, 73, -29]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -13, -1, 26, 13],
 [-6, -15, -7, 38, 33],
 [-31, 46, -47, -29, 8],
 [7, -32, 33, 21, 14],
 [49, -29, 41, 2, -52]]

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


[User]
What is the rank of the matrix:
[[-12, 18, 30, 24, 0],
 [-8, 12, 20, 16, 0],
 [-6, 9, 15, 12, 0],
 [-8, 12, 20, 16, 0],
 [0, 0, 0, 0, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-34, -33, -30, 17, 19],
 [18, 32, 36, -32, -14],
 [-8, -15, -9, -5, -32],
 [-28, -21, -7, -18, -5],
 [-28, -21, -7, -18, -5]]

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


[User]
What is the rank of the matrix:
[[-8, 6, 8, 8, -10],
 [48, -18, -48, 0, 6],
 [34, -12, -34, 2, 2],
 [-8, 6, 8, 8, -10],
 [10, -12, -10, -22, 26]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 33, 13, 16, -1],
 [-2, -5, 41, 42, -15],
 [-20, -49, -47, 16, 25],
 [35, 3, -28, -8, 21],
 [-9, 21, 19, 30, -5]]

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


[User]
What is the rank of the matrix:
[[-12, -20, 12, 20, 8],
 [42, 50, 24, -20, -38],
 [4, 0, 18, 10, -6],
 [35, 45, 9, -25, -30],
 [-2, 0, -9, -5, 3]]?

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


[User]
Determine the rank of the following matrix:
[[14, 7, -2, -5, 4],
 [55, 11, 10, -17, -10],
 [-10, 19, -22, 1, 32],
 [0, 0, 6, 3, -6],
 [15, 24, -22, -9, 32]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[41, 50, 0, 18, -50],
 [24, 83, 13, 30, -65],
 [-16, 58, -10, 26, -30],
 [15, -20, -14, 25, 15],
 [18, 9, -61, -11, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 34, -14, -13, -28],
 [-9, 38, -10, -23, -32],
 [-16, 26, -14, -5, -21],
 [15, 10, 10, -25, -10],
 [-5, -18, -2, 21, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[19, -5, -10, 10, 2],
 [-32, 4, -6, -22, 4],
 [-24, 6, 11, -13, -2],
 [36, -6, -1, 23, -2],
 [17, -1, 9, 13, -4]]

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


[User]
What is the rank of the matrix:
[[-14, 29, -10, -17, -28],
 [28, -12, -16, 12, 4],
 [13, 1, -22, 26, -15],
 [15, 10, -22, 0, -17],
 [28, -12, -28, 42, -8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -37, -45, 2, -47],
 [-3, -18, -27, -6, -30],
 [-8, 10, 6, -14, 2],
 [-5, 31, 36, -4, 37],
 [-26, 22, -6, -3, 0]]

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


[User]
What is the rank of the matrix:
[[-13, 22, -18, 8, -13],
 [15, -41, 6, -8, -17],
 [-2, 2, 20, -16, 22],
 [2, 26, -11, 37, 21],
 [-21, 18, 6, -18, 3]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 12, -5, -1, -1],
 [30, 16, -30, 22, -13],
 [-1, -4, 1, 1, 0],
 [28, 24, -28, 16, -11],
 [4, 0, -4, 4, -2]]

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


[User]
Determine the rank of the following matrix:
[[63, 43, -9, -26, -45],
 [-39, -24, 2, 8, 35],
 [-9, 3, -33, -15, 15],
 [-51, -35, -7, 28, 25],
 [-42, -24, -12, 8, 34]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -8, -1, -30, 29],
 [-10, -12, 23, 18, 5],
 [25, 9, -5, 18, -23],
 [-10, -6, 8, 0, 8],
 [25, 17, -25, -6, -19]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 15, -35, -31, 23],
 [8, 10, -13, -13, 2],
 [-10, 6, -32, -26, 34],
 [-32, -24, 4, 12, 24],
 [4, -10, 24, 23, -28]]

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


[User]
Find the rank of the matrix:
[[-8, 14, 2, 18, -8],
 [12, -36, -8, -22, 22],
 [-8, 32, 8, 12, -20],
 [-10, 7, -1, 26, -3],
 [-6, 39, 11, 4, -25]]

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


[User]
What is the rank of the matrix:
[[-32, 30, 26, 22, 18],
 [-3, 16, 22, 18, 19],
 [-4, 14, 22, 24, 12],
 [42, -28, -16, -12, -10],
 [-19, -7, -5, 24, -39]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, 18, -18, -12, -9],
 [-12, 24, -24, -16, -12],
 [6, -12, 12, 8, 6],
 [-12, 24, -24, -16, -12],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[-3, -33, -15, -9, -18],
 [-7, -26, 9, 5, -6],
 [8, -16, -24, -10, -2],
 [-34, -29, 0, -18, -28],
 [21, 17, 35, 35, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[-10, 10, -12, -2, 8],
 [-15, 15, -18, -3, 12],
 [-30, 30, -36, -6, 24],
 [20, -20, 24, 4, -16],
 [-5, 5, -6, -1, 4]]

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


[User]
What is the rank of the matrix:
[[-9, 5, -32, 16, 0],
 [-22, -1, 0, -7, 13],
 [12, 5, 46, -23, 45],
 [-4, 5, 10, -7, 29],
 [24, 8, 27, -8, 32]]?

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


[User]
Determine the rank of the following matrix:
[[-12, -9, -3, 9, 0],
 [4, 3, 1, -3, 0],
 [16, 12, 4, -12, 0],
 [20, 15, 5, -15, 0],
 [-4, -3, -1, 3, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[58, 32, 1, -54, -16],
 [64, 0, 36, -44, -50],
 [-28, 24, -6, 8, 14],
 [-4, -24, -12, 14, 11],
 [6, -32, 35, 10, -34]]

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


[User]
What is the rank of the matrix:
[[30, 15, 20, -25, -5],
 [12, 6, 8, -10, -2],
 [-30, -15, -20, 25, 5],
 [12, 6, 8, -10, -2],
 [36, 18, 24, -30, -6]]?

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


[User]
Find the rank of the matrix:
[[-3, 2, -2, 4, -4],
 [6, -30, 0, -9, 36],
 [36, 28, 32, -46, -8],
 [30, 32, 28, -38, -16],
 [35, 20, 30, -45, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -31, 0, 6, -43],
 [-31, -12, 6, 7, -38],
 [-83, -13, 53, 35, -17],
 [-52, -57, 24, 23, -55],
 [12, -3, 2, 10, -35]]

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


[User]
Determine the rank of the following matrix:
[[27, -1, 19, 21, 12],
 [-11, -11, 1, -3, 5],
 [-33, -8, -1, -2, 40],
 [13, -4, 33, 38, -2],
 [23, -16, 9, 2, 31]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 1, -13, 9, -8],
 [-50, -7, -53, 3, -46],
 [20, 0, 6, -8, 0],
 [-35, -37, -13, 26, -21],
 [25, -36, 34, -35, 7]]

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


[User]
Determine the rank of the following matrix:
[[-16, 24, -20, -4, 4],
 [0, 0, 0, 0, 0],
 [-12, 18, -15, -3, 3],
 [-4, 6, -5, -1, 1],
 [4, -6, 5, 1, -1]]

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


[User]
What is the rank of the matrix:
[[-15, -12, -6, -6, -12],
 [-5, 26, -2, -22, -24],
 [20, 16, 8, 8, 16],
 [-25, 10, -10, -30, -40],
 [-10, -8, -4, -4, -8]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[36, 14, -12, 36, 22],
 [4, 14, 11, 12, 16],
 [-33, -12, 6, -36, -24],
 [-7, -40, 23, 4, 2],
 [-10, 1, 3, -10, -5]]

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


[User]
What is the rank of the matrix:
[[-10, -38, 45, 7, 5],
 [24, -33, -9, 12, 24],
 [-30, -42, 16, -42, 16],
 [-25, -25, 47, -6, -5],
 [-33, -30, -6, -58, 17]]?

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


[User]
Calculate the rank of matrix A where A =
[[9, -12, 30, -21, 24],
 [-11, -22, 10, -6, -6],
 [19, -18, 54, -38, 46],
 [-1, -28, 34, -23, 16],
 [6, -8, 20, -14, 16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-40, -20, 2, 37, -19],
 [3, 4, 11, -17, 14],
 [56, -44, 0, 42, -42],
 [34, -42, 12, 26, -26],
 [-26, 20, 0, -41, 29]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 24, 9, -26, -3],
 [7, 20, -38, 10, 2],
 [-38, 25, -4, -28, -30],
 [16, -9, -29, 38, -10],
 [14, -22, 10, 36, -22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -20, -2, -4, -8],
 [24, 19, 28, 21, -23],
 [0, -2, -8, 2, 10],
 [-11, 26, 7, 7, 5],
 [19, 34, 30, 27, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 22, -20, 8, -6],
 [35, 25, 22, 2, -55],
 [-86, -28, 0, 2, 78],
 [-25, -31, -4, -2, 47],
 [4, -4, -14, 0, 10]]

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


[User]
What is the rank of the matrix:
[[18, 0, 22, 2, 2],
 [15, 0, 10, -10, 20],
 [15, 0, 10, -10, 20],
 [-20, 0, -20, 4, -12],
 [3, 0, 12, 12, -18]]?

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


[User]
Determine the rank of the following matrix:
[[17, 4, 0, -7, -15],
 [26, -64, 10, 24, 18],
 [-15, 16, 23, 22, 51],
 [11, -21, 14, 20, 61],
 [70, -26, -56, -60, -12]]

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


[User]
Determine the rank of the following matrix:
[[4, -2, 1, 4, 6],
 [16, -8, 4, 16, 24],
 [24, -12, 6, 24, 36],
 [-4, 2, -1, -4, -6],
 [-4, 2, -1, -4, -6]]

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


[User]
What is the rank of the matrix:
[[-34, -2, 10, -40, 0],
 [50, 12, -55, 14, -18],
 [-23, 62, 41, -41, 15],
 [1, 37, 40, 8, 34],
 [32, -2, -15, 34, 2]]?

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


[User]
Find the rank of the matrix:
[[-24, -3, 26, -7, 29],
 [-46, -3, -16, -70, 57],
 [-14, 14, -15, -46, 4],
 [3, 37, -19, -32, -41],
 [46, -8, -15, 83, -50]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-8, 20, 27, -9, -30],
 [-1, -2, 2, -4, -1],
 [-8, 4, 18, -10, -16],
 [-46, -4, 49, 29, -28],
 [-3, 17, 12, 5, -16]]?

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


[User]
What is the rank of the matrix:
[[36, -27, 9, 12, 5],
 [-40, 45, 7, -32, -54],
 [-50, 12, 5, -1, 4],
 [-47, 33, 26, -10, -58],
 [-57, -13, 6, 28, 45]]?

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


[User]
Determine the rank of the following matrix:
[[20, -29, 0, 1, -8],
 [-5, 11, 0, -4, 2],
 [-25, 55, 0, -20, 10],
 [30, -11, 0, -31, -12],
 [25, -60, 0, 25, -10]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-15, 3, 16, -10, 13],
 [-11, -15, 30, -44, -3],
 [10, 3, 22, -19, 28],
 [22, -18, -24, 0, -42],
 [35, 9, 12, -6, 39]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -27, 3, -13, -9],
 [7, -35, 5, -16, -12],
 [15, 27, -33, -10, 18],
 [0, -42, 18, -10, -18],
 [-14, -14, 26, 12, -12]]

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


[User]
Determine the rank of the following matrix:
[[-6, 12, 9, 3, -15],
 [32, 12, -9, 9, -9],
 [-24, 43, 21, 1, -23],
 [-32, 54, 18, -6, -6],
 [-14, 32, 12, 0, -12]]

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


[User]
Find the rank of the matrix:
[[-14, 0, -23, 4, 22],
 [10, 31, -8, -12, -4],
 [-9, 1, -10, 54, 16],
 [15, -66, 83, 27, -53],
 [32, -2, 24, 40, -16]]

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[User]
Calculate the rank of matrix A where A =
[[21, 12, 0, -18, -36],
 [-13, -61, -27, 0, 42],
 [-35, 14, 28, 20, 18],
 [16, 0, -19, 7, 15],
 [-26, 18, 23, 19, 15]]

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[User]
Calculate the rank of matrix A where A =
[[-30, 18, -26, -42, 40],
 [-36, 21, -31, -45, 44],
 [-10, 4, -8, 4, 0],
 [-14, 8, -12, -16, 16],
 [-20, 8, -16, 8, 0]]

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


[User]
Determine the rank of the following matrix:
[[0, -14, 32, -24, -6],
 [-12, -22, 28, -24, -18],
 [-2, -6, 10, -8, -4],
 [-4, 9, -28, 20, 1],
 [-10, 5, -30, 20, -5]]

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


[User]
Find the rank of the matrix:
[[12, 4, 18, -14, 10],
 [8, 12, 9, -8, 3],
 [-22, -6, -27, 22, -15],
 [-26, -22, -24, 22, -10],
 [-32, -8, -21, 21, -11]]

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


[User]
Find the rank of the matrix:
[[26, -37, -3, 5, 19],
 [-44, 80, 6, -40, 0],
 [16, -22, 0, 2, 6],
 [16, 20, 26, -70, -10],
 [4, -16, 2, 20, -28]]

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[User]
Determine the rank of the following matrix:
[[-1, -20, -63, -26, 0],
 [-32, 6, -12, 5, -14],
 [11, -19, -66, -25, 15],
 [6, 9, 6, 2, -5],
 [-32, 20, 20, 18, -20]]

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[User]
Calculate the rank of matrix A where A =
[[7, -5, -23, -24, 48],
 [-14, 21, -20, -7, 25],
 [-10, -45, 20, 15, -5],
 [3, -25, -3, -8, 24],
 [-6, -28, 18, 14, -14]]

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[User]
What is the rank of the matrix:
[[8, -20, -16, -8, 0],
 [10, -25, -20, -10, 0],
 [0, 0, 0, 0, 0],
 [-2, 5, 4, 2, 0],
 [-10, 25, 20, 10, 0]]?

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


[User]
Find the rank of the matrix:
[[-25, 4, -14, -6, 4],
 [-9, 0, -2, -8, -6],
 [33, 16, 18, 22, -12],
 [-21, -22, -16, -14, 24],
 [-3, 20, -2, 12, -6]]

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[User]
Calculate the rank of matrix A where A =
[[60, 27, -37, -11, 7],
 [36, -24, -32, 30, -14],
 [26, 36, -48, -58, 0],
 [16, 6, 30, -35, -75],
 [22, 36, 0, -56, -30]]

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[User]
What is the rank of the matrix:
[[24, -30, -11, -23, 16],
 [16, 14, 25, -50, -34],
 [-4, -28, -20, -13, -5],
 [42, 36, 36, -89, 4],
 [39, 20, 24, -73, 11]]?

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[User]
Calculate the rank of matrix A where A =
[[-22, -10, -26, -19, 22],
 [-30, 14, -50, -31, 14],
 [30, -14, 50, 31, -14],
 [-3, 28, -19, -8, -14],
 [-36, -6, -48, -33, 30]]

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


[User]
Determine the rank of the following matrix:
[[-32, -24, 25, -13, -23],
 [24, 36, -42, 30, 36],
 [-12, -6, -11, -7, 11],
 [-6, 21, -17, 30, 11],
 [2, 21, -41, 18, 36]]

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


[User]
Determine the rank of the following matrix:
[[30, -35, -45, -55, -20],
 [-12, 6, 33, 32, -2],
 [48, -18, 9, -6, -16],
 [-6, -53, -9, -25, -44],
 [-36, 40, 36, 50, 26]]

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[User]
What is the rank of the matrix:
[[-11, 66, 13, -15, 12],
 [-16, 3, 5, 6, -20],
 [10, 38, -1, -8, 26],
 [5, -3, 2, -9, 8],
 [11, 33, -4, -3, 24]]?

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[User]
Calculate the rank of matrix A where A =
[[-29, 21, -16, -40, -18],
 [-16, -40, 29, -12, -21],
 [16, -12, -6, 33, 40],
 [-1, -25, 22, -28, 2],
 [-4, 2, -3, -17, 7]]

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

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[User]
Find the rank of the matrix:
[[-31, 13, 32, -8, -15],
 [11, 13, 26, -39, 49],
 [-6, 8, 17, 0, -5],
 [80, -56, -34, -29, 63],
 [-24, 24, -4, 19, -21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 2, -8, 4, 8],
 [0, 0, 0, 0, 0],
 [-4, -2, 8, -4, -8],
 [8, 4, -16, 8, 16],
 [2, 1, -4, 2, 4]]

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[User]
Calculate the rank of matrix A where A =
[[27, -23, -20, 3, -23],
 [-24, -17, -6, -9, -31],
 [11, -7, 4, -45, 29],
 [6, -9, -30, -61, -9],
 [-24, -5, -12, -13, -28]]

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


[User]
Determine the rank of the following matrix:
[[60, -16, 20, 12, -28],
 [-30, -6, -2, -33, 1],
 [55, -16, 19, 7, -26],
 [-12, 16, -12, 12, 24],
 [24, 0, 4, 12, -2]]

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


[User]
Find the rank of the matrix:
[[0, 4, -8, 28, -24],
 [14, -19, -11, 0, 16],
 [-10, 13, 9, -4, -8],
 [-2, 4, -1, 9, -10],
 [2, 0, -7, 19, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 3, 19, -2, 12],
 [9, -14, -11, -10, 0],
 [28, -40, -33, -27, -3],
 [-31, 10, 37, -2, 24],
 [19, -21, -31, -18, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-13, -10, 20, -11, 8],
 [70, 34, -20, -52, 54],
 [15, 31, -54, 27, -15],
 [-19, 28, -40, 33, -38],
 [-5, -22, 28, 7, -28]]

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


[User]
What is the rank of the matrix:
[[-14, 30, -12, -2, 44],
 [14, 13, 14, -2, -27],
 [-9, -34, -8, 10, 13],
 [-16, -16, -20, -9, 20],
 [1, -15, 14, 41, 28]]?

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


[User]
Determine the rank of the following matrix:
[[-64, -23, -7, -48, -24],
 [-6, 28, 6, 33, 28],
 [-38, 19, -12, -49, 26],
 [-2, -19, 12, 37, -18],
 [-20, 33, -11, -8, -14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-21, -13, -1, 11, 21],
 [24, 16, 5, -12, -2],
 [3, 11, -2, 3, 41],
 [-27, -15, -7, 15, 14],
 [-27, -15, -12, 15, -6]]

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


[User]
Determine the rank of the following matrix:
[[26, -29, 34, 37, -7],
 [4, 3, -14, -8, 6],
 [10, -5, 26, 16, 0],
 [-22, 1, 10, -16, -4],
 [14, -47, -21, -19, 3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[23, -20, -8, 14, -2],
 [-16, 1, -7, -20, 0],
 [10, -30, -33, 40, 34],
 [46, 10, 27, 14, -42],
 [56, 1, 43, 32, -28]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, 6, 12, -26, 12],
 [40, 12, -9, -34, 12],
 [-24, -18, 3, 27, -12],
 [-24, 14, -3, 19, -4],
 [13, -5, -9, -2, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, 50, -54, 26, -26],
 [22, -31, -11, -29, 37],
 [20, -24, -26, -32, 50],
 [-14, 28, -19, 9, 6],
 [2, 2, -19, -9, 22]]

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


[User]
Determine the rank of the following matrix:
[[-7, 7, -16, 14, -22],
 [-38, 14, -2, 40, -14],
 [-28, 20, 11, 20, -5],
 [14, 8, 20, -25, 15],
 [-16, 10, 11, -7, 2]]

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


[User]
Find the rank of the matrix:
[[-5, 13, 10, 42, 34],
 [36, -61, 3, -5, 5],
 [14, 17, 17, 27, -13],
 [-32, 50, -11, -28, -31],
 [0, 13, 15, 53, 37]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, -17, 42, -22, 13],
 [11, -1, 38, -48, 35],
 [32, 27, -8, -43, 12],
 [-31, 29, 6, -35, 14],
 [18, 18, -19, -11, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-27, -24, 71, 42, -26],
 [-15, -27, 36, 54, -42],
 [12, -33, -10, -1, 6],
 [12, -3, -35, 12, -16],
 [13, 15, -41, -9, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -24, 30, -30, -18],
 [-1, 4, -5, 5, 3],
 [5, -20, 25, -25, -15],
 [4, -16, 20, -20, -12],
 [2, -8, 10, -10, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 3, 2, 5, 17],
 [-1, -6, -14, 0, 21],
 [-6, 0, -12, 12, 66],
 [-1, 21, 40, 9, -24],
 [-1, -15, -32, -3, 36]]

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


[User]
Determine the rank of the following matrix:
[[10, 6, 4, 2, 0],
 [-30, -18, -12, -6, 0],
 [0, 0, 0, 0, 0],
 [-30, -18, -12, -6, 0],
 [-30, -18, -12, -6, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 30, -30, -6, -6],
 [4, 40, 0, -2, -22],
 [2, 20, 0, -1, -11],
 [-2, -4, -8, -1, 5],
 [-4, -8, -16, -2, 10]]

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


[User]
What is the rank of the matrix:
[[-10, 6, -12, 60, -38],
 [-13, -9, 6, 42, -23],
 [-15, -19, 18, 30, -13],
 [12, 32, -36, 12, -16],
 [19, 39, -42, -6, -7]]?

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


[User]
Determine the rank of the following matrix:
[[-9, -15, -19, 9, 23],
 [-19, -11, -3, 7, -10],
 [-3, -3, -7, -13, 26],
 [93, 29, 0, 40, -20],
 [-87, -61, -32, -20, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -4, -10, -12, -4],
 [36, -18, 36, 6, -12],
 [-24, 18, 18, 34, 16],
 [-28, 19, 7, 27, 16],
 [-22, 13, -8, 9, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 4, -16, 20, 9],
 [-17, -11, 24, -16, 1],
 [26, 18, 8, -32, -28],
 [-11, 25, 26, -34, -18],
 [9, 13, 40, -60, -34]]

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


[User]
Calculate the rank of matrix A where A =
[[-35, 70, 25, -30, 8],
 [-57, -22, -25, -16, -34],
 [-12, 17, -8, 12, 10],
 [9, -35, 23, 2, -12],
 [1, 8, 1, -4, 2]]

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


[User]
What is the rank of the matrix:
[[6, -12, 30, 36, 24],
 [4, -8, 20, 24, 16],
 [-2, 4, -10, -12, -8],
 [4, -8, 20, 24, 16],
 [4, -8, 20, 24, 16]]?

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


[User]
What is the rank of the matrix:
[[26, -32, 2, -7, -2],
 [-12, 14, 36, 41, -21],
 [9, -31, 24, 20, 9],
 [-37, 27, -6, -14, 24],
 [-12, 22, -50, 10, 32]]?

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


[User]
What is the rank of the matrix:
[[10, 32, -26, 9, 23],
 [-19, -12, -34, 39, 8],
 [4, -8, 24, -19, -13],
 [-6, 0, 0, -3, 9],
 [2, -16, 20, -9, -21]]?

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


[User]
Determine the rank of the following matrix:
[[-22, -24, -16, 38, -22],
 [-8, -3, -44, 31, 13],
 [27, 33, -4, -36, 40],
 [-10, -6, -40, 32, 8],
 [-6, 0, -48, 30, 18]]

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


[User]
Determine the rank of the following matrix:
[[0, 5, -6, -21, 2],
 [8, -4, -29, 4, -13],
 [32, 12, 17, 13, 6],
 [-52, -25, 24, -51, -8],
 [-16, 0, 62, -48, 14]]

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


[User]
What is the rank of the matrix:
[[-5, 37, 18, 8, -2],
 [-17, 10, -10, 1, -16],
 [-16, -3, 8, -3, 10],
 [-45, 11, 19, 10, -28],
 [13, 10, 25, 30, -64]]?

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


[User]
What is the rank of the matrix:
[[36, -14, -57, -16, 10],
 [-10, -11, -11, -3, -4],
 [-14, 0, 26, -1, 2],
 [32, -43, -25, -49, 26],
 [35, -39, -11, -53, 37]]?

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


[User]
What is the rank of the matrix:
[[-2, -12, -10, -4, -10],
 [-1, -6, -5, -2, -5],
 [3, 18, 15, 6, 15],
 [6, 36, 30, 12, 30],
 [-3, -18, -15, -6, -15]]?

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


[User]
Find the rank of the matrix:
[[-18, 48, -18, 26, 18],
 [11, 9, 8, 10, -8],
 [15, 18, 23, 2, -18],
 [-3, 12, -23, 36, 66],
 [24, 18, 29, 7, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 12, -39, 45, 42],
 [32, -8, 4, -8, 16],
 [-15, 0, 15, -15, -30],
 [28, -10, 17, -22, -4],
 [-7, -2, 16, -17, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, -38, 38, -22, -11],
 [17, 1, 24, -4, -16],
 [-11, -17, 2, -4, 19],
 [4, -41, 36, -17, 18],
 [-27, 7, -2, 8, 21]]

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


[User]
Find the rank of the matrix:
[[28, 34, -10, -34, 24],
 [-19, -17, 1, 22, -10],
 [18, 0, -12, -21, 24],
 [11, -1, 17, -10, -14],
 [30, 36, -16, -37, 32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -4, 24, -9, -12],
 [8, 20, 6, -18, 18],
 [18, 20, -24, -3, 28],
 [-32, -24, 60, -12, -44],
 [-10, -20, 0, 15, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -6, 0, 5, -1],
 [24, -24, 0, 20, -4],
 [36, -36, 0, 30, -6],
 [18, -18, 0, 15, -3],
 [24, -24, 0, 20, -4]]

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


[User]
What is the rank of the matrix:
[[-34, -22, 9, 6, -4],
 [18, 20, 10, 2, 0],
 [-22, 7, -6, -9, -11],
 [30, -9, 44, 31, 17],
 [-23, -39, 22, 20, 7]]?

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


[User]
Find the rank of the matrix:
[[2, -30, -14, -22, 32],
 [-11, -30, -3, -14, 39],
 [-29, 6, 27, 22, 9],
 [12, 15, -4, 3, -23],
 [9, 21, 1, 9, -28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[17, -1, -4, 49, -27],
 [22, -32, 30, 62, -30],
 [-4, 10, -3, 14, 9],
 [-11, 29, -17, 13, 21],
 [-28, 20, 5, -36, 64]]

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


[User]
Find the rank of the matrix:
[[-4, 42, 39, -34, 13],
 [24, -60, -42, 12, -14],
 [20, -18, -3, -22, -1],
 [0, 36, 36, -36, 12],
 [16, -6, 6, -26, 2]]

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


[User]
Determine the rank of the following matrix:
[[-44, -8, -55, -3, -12],
 [4, 10, 11, -3, -6],
 [-27, -8, -38, -1, -6],
 [19, 39, 49, -11, -21],
 [2, -12, 17, 7, 20]]

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


[User]
What is the rank of the matrix:
[[-22, -29, -20, 12, 41],
 [47, 57, 62, 30, -3],
 [-19, 39, -2, -18, -41],
 [-36, -33, -18, 18, 33],
 [21, -20, 2, -6, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[7, 17, -2, 32, 44],
 [13, -4, -2, 38, 35],
 [34, 9, 16, 34, 13],
 [-60, 18, -24, -60, -6],
 [-30, -18, -24, 0, 24]]

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


[User]
Find the rank of the matrix:
[[-18, 19, -2, 5, 1],
 [28, 0, 22, -20, -2],
 [0, 20, 6, -15, -18],
 [-32, -1, -41, 5, -24],
 [-10, -16, -19, 4, 36]]

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


[User]
Find the rank of the matrix:
[[14, -22, -9, -25, -36],
 [8, -4, -8, 10, 8],
 [-6, 6, 5, 1, 4],
 [10, -8, -9, 4, 0],
 [18, -24, -13, -20, -32]]

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


[User]
What is the rank of the matrix:
[[24, 24, 9, 33, -30],
 [-16, -12, -4, -20, 24],
 [4, -1, -1, 3, -10],
 [12, 11, 4, 16, -16],
 [-24, -16, -5, -29, 38]]?

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


[User]
Calculate the rank of matrix A where A =
[[27, -2, -3, 47, 31],
 [-16, -3, 8, -40, -22],
 [64, -25, 24, 8, 46],
 [7, -10, 13, -1, 3],
 [-28, 6, -4, 20, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[78, 6, 43, -53, -29],
 [-2, -26, 19, -8, -12],
 [-14, -36, 10, 16, -38],
 [-16, -11, 35, -23, 29],
 [-35, 46, -47, 40, 33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-40, 0, -16, 7, 11],
 [-1, -6, 11, 16, -58],
 [-27, -33, 41, 13, 17],
 [28, -2, 20, 1, -39],
 [-42, -26, -2, 20, 44]]

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


[User]
Determine the rank of the following matrix:
[[12, 35, -32, -24, 27],
 [-8, -27, 14, 16, -7],
 [-8, -25, 18, 16, -13],
 [-10, -34, 17, 20, -8],
 [-6, -14, 23, 12, -24]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 39, 6, -1, -24],
 [35, 18, 6, -26, -22],
 [14, -1, -28, 49, -40],
 [39, 12, -12, 27, -57],
 [-36, -21, -6, 3, 42]]

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


[User]
What is the rank of the matrix:
[[6, 18, 30, -6, 18],
 [1, 3, 5, -1, 3],
 [10, -21, 5, 20, -24],
 [3, -8, 0, 7, -9],
 [19, -28, 20, 31, -33]]?

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


[User]
Determine the rank of the following matrix:
[[9, 0, -6, 9, 12],
 [-15, 0, 10, -15, -20],
 [3, 0, -2, 3, 4],
 [18, 0, -12, 18, 24],
 [-6, 0, 4, -6, -8]]

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


[User]
What is the rank of the matrix:
[[18, -8, -28, -10, 0],
 [4, -2, -12, -2, 2],
 [28, -11, -6, -17, -13],
 [-21, 8, -2, 13, 12],
 [7, -3, -8, -4, -1]]?

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


[User]
What is the rank of the matrix:
[[-3, -7, -27, -33, -16],
 [21, -2, -24, -3, -23],
 [9, 32, 16, 14, 8],
 [-18, -24, 30, 19, 38],
 [2, 52, 16, 6, -6]]?

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


[User]
Determine the rank of the following matrix:
[[-6, -10, -12, -2, 4],
 [9, 15, 18, 3, -6],
 [18, 30, 36, 6, -12],
 [-15, -25, -30, -5, 10],
 [3, 5, 6, 1, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -3, -15, -9, -12],
 [-30, -6, -30, -18, -24],
 [-24, -12, 16, -8, 0],
 [39, 15, -1, 17, 12],
 [-36, -9, -26, -20, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[16, -4, -24, -4, -16],
 [-11, 5, 21, 11, 17],
 [-7, 1, 9, -1, 5],
 [-25, 1, 27, -13, 11],
 [15, 3, -9, 21, 3]]

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


[User]
Determine the rank of the following matrix:
[[-33, 31, 14, 32, 7],
 [-20, 10, -17, 15, -23],
 [-18, 26, 34, 22, 32],
 [18, -16, -5, -17, -1],
 [6, -12, -21, -9, -21]]

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


[User]
Find the rank of the matrix:
[[26, -14, 22, -1, -12],
 [-1, 7, -17, -4, -6],
 [7, -1, -1, -2, -6],
 [25, -15, 25, 0, -10],
 [-4, 4, -8, -1, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[20, 12, 16, 4, -20],
 [-15, -9, -12, -3, 15],
 [-30, -18, -24, -6, 30],
 [-10, -6, -8, -2, 10],
 [25, 15, 20, 5, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-69, -22, 44, 2, 26],
 [61, 16, -6, 32, -18],
 [48, 24, 40, 60, -7],
 [-19, -24, 8, -13, -21],
 [35, -6, -12, 2, -35]]

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


[User]
Find the rank of the matrix:
[[-7, -4, -4, -28, 12],
 [35, 12, -4, -26, 14],
 [-62, -58, 10, 19, 25],
 [-25, -48, 8, -21, 51],
 [-12, -36, -12, -47, 41]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -17, 14, 10, -7],
 [28, 16, -20, 16, 10],
 [18, -6, 4, 1, -2],
 [-36, 12, -8, -2, 4],
 [-14, -6, 4, 29, -2]]

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


[User]
Determine the rank of the following matrix:
[[-34, -26, -22, 24, 10],
 [-9, -15, -15, 18, 3],
 [6, -36, -42, 54, 0],
 [15, -21, -27, 36, -3],
 [-1, -17, -19, 24, 1]]

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


[User]
Determine the rank of the following matrix:
[[-18, 15, -6, 12, 0],
 [2, -1, -1, -3, -6],
 [-20, 16, -5, 15, 6],
 [-60, 54, -30, 30, -36],
 [-14, 15, -13, 1, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 12, 8, 12, 10],
 [4, 12, 8, 12, 10],
 [-6, -18, -12, -18, -15],
 [-2, -6, -4, -6, -5],
 [-12, -36, -24, -36, -30]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 10, 4, 22, -16],
 [-13, 6, 3, 18, -13],
 [15, 48, 3, -24, 15],
 [-14, 30, 6, 18, -14],
 [-5, 18, 3, 6, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, 36, -13, 12, -54],
 [-48, 9, -44, -24, 1],
 [-15, 36, 5, 15, 12],
 [-21, 6, -17, -13, 46],
 [18, 39, 36, 43, -55]]

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


[User]
Determine the rank of the following matrix:
[[15, -6, 3, 51, -21],
 [11, 0, 3, 15, -7],
 [12, 0, 2, 18, -10],
 [-12, 3, -11, -21, -2],
 [37, 2, 6, 46, -28]]

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


[User]
Find the rank of the matrix:
[[-24, 2, -26, 50, 35],
 [16, -12, 30, 16, -3],
 [0, -3, 31, -2, 18],
 [20, -9, 35, -18, -15],
 [-20, 31, 5, -8, 31]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 12, -24, 48, 8],
 [38, 10, -26, 54, 6],
 [4, 24, -24, 40, 0],
 [2, -24, 15, -19, 13],
 [-61, 67, -14, -12, -52]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -6, 4, 8, 0],
 [0, 0, 0, 0, 0],
 [-6, -3, 2, 4, 0],
 [-30, -15, 10, 20, 0],
 [36, 18, -12, -24, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, 13, -10, 5, 8],
 [-28, -15, 28, -19, -20],
 [60, 66, -36, 18, 36],
 [-28, -18, 16, -10, -14],
 [-12, 10, 22, -18, -11]]

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


[User]
Determine the rank of the following matrix:
[[-31, 27, 26, -18, -6],
 [16, 1, 10, -31, 52],
 [51, -21, -4, 20, -12],
 [-12, -20, -41, 11, 13],
 [-19, 3, -12, -23, 24]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 12, 24, -33, -27],
 [-16, -40, 5, 9, -2],
 [-10, -41, 7, -25, 6],
 [-3, 5, -14, 22, 13],
 [-2, -50, 26, -52, 16]]

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


[User]
Find the rank of the matrix:
[[45, -46, -16, -1, -4],
 [-18, -6, -10, 20, -24],
 [-13, 38, -16, 19, -16],
 [28, -32, 12, -23, 22],
 [9, -52, 30, -30, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, 8, -10, 10, 0],
 [-1, 20, -19, -6, 32],
 [22, -30, 41, 4, -42],
 [15, -23, -1, -24, -7],
 [5, -25, 14, -4, -29]]

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


[User]
Find the rank of the matrix:
[[26, 34, -21, 12, -22],
 [-28, -42, 23, -6, 16],
 [-22, -32, 18, -6, 14],
 [-32, -44, 26, -12, 24],
 [-24, -12, 18, -36, 48]]

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


[User]
Determine the rank of the following matrix:
[[11, -2, 7, 17, -28],
 [12, -15, -7, 9, 15],
 [-6, 18, -2, -20, -4],
 [36, -12, -4, 24, -24],
 [22, -10, 6, 28, -32]]

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


[User]
Find the rank of the matrix:
[[12, 48, 4, 34, -16],
 [18, 48, 10, 31, -16],
 [-24, -30, -19, -13, 10],
 [-12, -12, -10, -4, 4],
 [-24, -12, -22, 2, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -25, 11, -5, -5],
 [-16, -10, -6, 24, 50],
 [0, 10, -2, -4, -10],
 [0, -10, 2, 4, 10],
 [16, -50, 18, 0, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 12, 3, -20, 6],
 [-14, 9, 15, 2, -4],
 [4, -18, -12, 20, -4],
 [-36, 18, 36, 12, -12],
 [-10, -9, 3, 22, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -26, -7, -19, -13],
 [-12, -20, -8, -12, -8],
 [18, 10, -13, 23, 17],
 [6, -2, -11, 9, 7],
 [0, 16, 20, -4, -4]]

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


[User]
What is the rank of the matrix:
[[-8, -11, 21, 13, -19],
 [11, 3, -27, -18, -14],
 [2, -9, 33, 19, -14],
 [3, -13, 3, 0, -45],
 [-2, 13, -63, -37, 11]]?

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


[User]
Calculate the rank of matrix A where A =
[[6, -3, 0, 2, 1],
 [4, 6, -8, 0, -2],
 [-10, 45, -40, -10, -15],
 [16, -12, 4, 6, 4],
 [-10, 33, -28, -8, -11]]

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


[User]
Determine the rank of the following matrix:
[[-4, 26, -11, 67, 36],
 [7, 35, -4, 58, 26],
 [19, -5, -29, -8, -86],
 [-8, -22, 11, -25, -4],
 [-38, -40, 41, 23, 56]]

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


[User]
What is the rank of the matrix:
[[8, 36, -28, 12, 12],
 [-19, -30, 47, 0, -54],
 [12, 34, -34, 10, 24],
 [19, 11, -34, 5, 42],
 [-17, -31, 44, -1, -48]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -36, -24, 30, 30],
 [-15, -5, 0, 5, 10],
 [-9, 3, 4, -2, 1],
 [15, 11, 4, -10, -15],
 [18, 36, 20, -31, -37]]

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


[User]
What is the rank of the matrix:
[[33, -8, 42, -48, -4],
 [-15, 23, 23, 8, -47],
 [7, 20, 26, 8, -58],
 [36, -1, -4, -11, 19],
 [-20, 10, -19, 21, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, 40, 18, 20, -39],
 [12, -54, 3, 18, 15],
 [10, -24, -26, -32, 37],
 [-10, 32, 17, 17, -30],
 [4, -8, 19, 33, -23]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 6, 4, 0, -1],
 [0, -24, -16, 0, 4],
 [0, 36, 24, 0, -6],
 [0, -36, -24, 0, 6],
 [0, 12, 8, 0, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -5, -11, 12, 20],
 [-2, 53, -29, 23, -14],
 [27, 39, -1, 12, 7],
 [-5, 20, -26, 17, -5],
 [21, 51, 3, 9, -3]]

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


[User]
What is the rank of the matrix:
[[12, -30, -6, 6, -15],
 [29, -39, -4, 18, -13],
 [5, -17, -10, 16, -4],
 [34, -34, 0, 20, -8],
 [-11, 11, -5, 5, 7]]?

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


[User]
What is the rank of the matrix:
[[-27, -56, -27, -10, -11],
 [-15, 2, 5, 11, -8],
 [-2, 32, -2, 7, -10],
 [-26, 28, -6, 10, -30],
 [10, -64, -50, -40, 8]]?

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


[User]
Find the rank of the matrix:
[[-17, 13, 30, 4, -3],
 [34, 0, -16, 4, -2],
 [7, 6, -13, -15, -18],
 [11, 8, 9, 15, 28],
 [13, -16, -20, -2, -13]]

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


[User]
What is the rank of the matrix:
[[1, 21, 5, 1, -1],
 [-28, 24, -24, -3, -18],
 [30, -38, 5, 0, -34],
 [40, -46, 7, -10, -52],
 [-28, 28, -18, 17, 6]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, -1, 0, 9, -3],
 [35, -15, 21, -26, 25],
 [35, -15, 21, -26, 25],
 [-9, -7, 6, 17, -1],
 [1, -17, 18, 15, 9]]

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


[User]
Find the rank of the matrix:
[[4, 5, 4, 4, -1],
 [17, 21, 14, 11, 0],
 [-36, -44, -24, -12, -8],
 [7, 8, -2, -11, 11],
 [-35, -43, -26, -17, -4]]

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


[User]
What is the rank of the matrix:
[[-45, -2, -19, 0, -35],
 [60, -16, 25, -12, 8],
 [-38, 3, -23, 7, -12],
 [33, -7, 13, -5, 9],
 [30, -16, 28, -20, -30]]?

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


[User]
Find the rank of the matrix:
[[46, 5, -10, 20, 46],
 [7, 25, -13, -20, 7],
 [40, -12, 7, 27, 40],
 [-4, -28, 36, 8, -4],
 [-67, -14, 2, -11, -67]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, 86, 12, 18, -30],
 [29, -4, -5, 19, 8],
 [48, -13, -34, -13, -20],
 [3, 13, -11, -20, -22],
 [18, 57, 11, 25, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -3, 26, -5, 14],
 [14, -21, 12, 16, 13],
 [-4, 6, 28, -14, 12],
 [18, -27, 4, 24, 11],
 [2, -3, 36, -8, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[58, -42, 86, -19, -21],
 [-26, 2, -46, 22, 12],
 [-37, 69, -28, -4, -16],
 [-6, 47, -11, 6, 32],
 [-1, 21, -12, 16, 32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 12, -7, 1, 12],
 [-4, -6, -6, -14, -23],
 [-12, -8, -28, -28, -52],
 [14, -5, 23, 15, 21],
 [41, -12, -9, 55, 19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-23, 38, 34, -15, 13],
 [-28, -60, 40, 23, -17],
 [-12, 39, -3, 57, 29],
 [-3, -29, 19, -32, -20],
 [-30, -7, 42, 32, 2]]

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


[User]
Find the rank of the matrix:
[[-8, 4, -10, 30, -10],
 [9, -19, -6, 50, 14],
 [18, -38, -16, 32, 32],
 [16, -35, -18, -4, 31],
 [-4, 6, -4, -72, -2]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, -12, -2, 48, -22],
 [1, -2, -1, 9, -3],
 [-5, 6, 3, -33, 21],
 [-5, 2, 1, -21, 27],
 [11, -8, 4, 33, -38]]

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


[User]
Find the rank of the matrix:
[[-5, 20, 22, -4, -9],
 [-20, 2, -6, 17, -10],
 [-17, -5, -25, 8, -8],
 [-68, 2, -6, -30, 2],
 [-21, 17, 17, 0, -10]]

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


[User]
What is the rank of the matrix:
[[25, -26, 1, 9, -8],
 [-10, 12, -6, -6, 12],
 [20, -18, -9, 3, 9],
 [0, -6, 21, 9, -33],
 [-10, 18, -27, -15, 45]]?

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


[User]
What is the rank of the matrix:
[[10, 0, 4, -2, -12],
 [-7, -12, -10, 11, 12],
 [23, -32, -10, 21, -18],
 [-8, 2, -2, 0, 9],
 [13, -22, -8, 15, -9]]?

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


[User]
Calculate the rank of matrix A where A =
[[10, 5, 25, 25, 10],
 [-7, -5, -24, -24, -8],
 [3, 3, 14, 14, 4],
 [5, -5, -20, -20, 0],
 [16, -4, -12, -12, 8]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, 0, -6, 18, -17],
 [2, -28, 34, -14, -5],
 [-38, 12, -2, 10, -15],
 [-5, -50, 2, -20, -2],
 [14, 2, 13, 28, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 1, 19, -18, 1],
 [28, -16, 8, -22, -12],
 [7, 41, 2, -35, -10],
 [5, 56, 23, -37, 5],
 [34, -13, 29, -26, -1]]

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


[User]
Find the rank of the matrix:
[[17, -4, 7, 29, -3],
 [33, -14, 11, 19, 31],
 [-6, 26, 20, -13, -5],
 [-3, 8, -45, -11, -3],
 [-43, 5, 43, -28, -24]]

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


[User]
Find the rank of the matrix:
[[3, -10, 14, -42, 17],
 [12, 40, -49, 35, -10],
 [12, 36, -37, 19, 2],
 [-48, 37, -46, 17, 47],
 [-1, -7, -2, -37, 10]]

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


[User]
Find the rank of the matrix:
[[-24, 17, -27, -5, 48],
 [-6, -25, -27, -5, -18],
 [6, 0, 49, 32, -18],
 [-15, -37, -69, -28, 2],
 [9, 0, 30, 7, 14]]

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


[User]
Determine the rank of the following matrix:
[[52, 42, 34, 52, -56],
 [21, 0, 4, 2, 7],
 [18, -9, -3, 22, 4],
 [3, 9, 5, 28, -25],
 [-21, -18, -15, -6, 15]]

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


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

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


[User]
Find the rank of the matrix:
[[-32, -21, -16, 27, -4],
 [10, 15, 14, -27, 8],
 [18, -6, -10, 24, -12],
 [-3, 6, 7, -15, 6],
 [-17, -21, -19, 36, -10]]

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


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

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


[User]
What is the rank of the matrix:
[[15, 0, 4, -21, -5],
 [1, -22, 12, 3, -4],
 [-38, 26, -24, 48, 17],
 [-22, 4, -8, 30, 8],
 [14, -38, 24, -12, -11]]?

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


[User]
Find the rank of the matrix:
[[-35, 13, 0, 22, 15],
 [-24, 4, 8, -4, 40],
 [-22, -18, 24, 20, 42],
 [18, -2, 0, -11, -31],
 [49, -16, -22, -2, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-32, -34, -2, 22, 8],
 [-32, -34, -2, 22, 8],
 [-4, -4, 0, -24, -4],
 [18, -9, -27, 52, 26],
 [-17, 13, 30, -57, -29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, -1, 6, -6, -2],
 [-30, 6, -36, 36, 12],
 [-20, 4, -24, 24, 8],
 [20, -4, 24, -24, -8],
 [25, -5, 30, -30, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, -76, -26, 49, 4],
 [12, 19, 22, -21, -24],
 [56, -23, -30, -35, 40],
 [-1, -44, -32, 7, 22],
 [4, -27, -10, 45, 20]]

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


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

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


[User]
Determine the rank of the following matrix:
[[44, 10, -20, 13, -5],
 [12, 16, -2, 24, -18],
 [-54, 6, -4, 47, -73],
 [16, -32, -26, 14, 14],
 [-37, -28, -19, 20, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[33, 26, 39, -10, -49],
 [-48, 30, 0, -24, 17],
 [9, -53, -30, 37, 24],
 [16, -26, 2, 26, -10],
 [-17, -24, -31, 10, 36]]

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


[User]
Determine the rank of the following matrix:
[[1, -12, -18, 30, -20],
 [-4, 10, 15, 13, 4],
 [7, -18, -27, -21, -8],
 [-2, 2, 3, 17, -4],
 [-3, 8, 12, 8, 4]]

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


[User]
Find the rank of the matrix:
[[-8, -24, -22, 4, -9],
 [14, -10, 6, -20, -7],
 [-11, -19, -29, 30, -16],
 [-19, 9, -6, 12, 14],
 [3, -37, -33, 22, -33]]

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


[User]
Determine the rank of the following matrix:
[[-15, 12, 6, -12, -15],
 [-5, 26, -1, -34, 1],
 [13, -24, -16, 1, -6],
 [-18, -2, 9, 7, -23],
 [7, -2, 5, 19, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -22, 12, 4, -2],
 [44, 10, -22, 30, -8],
 [-8, 26, -13, -7, 3],
 [-36, -18, 24, -24, 6],
 [-28, -8, 15, -19, 5]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 1, -29, -7, -22],
 [13, -14, -23, -36, 3],
 [43, 10, 24, 5, -1],
 [46, -24, 0, 10, 6],
 [-6, -5, -30, -75, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -16, 35, 14, -18],
 [0, -7, 20, 13, -6],
 [14, 21, -30, 5, 30],
 [12, 30, -60, -18, 36],
 [-6, 6, -30, -30, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -18, -18, 18, -12],
 [-36, 6, 48, 0, -4],
 [20, -10, -24, 8, -4],
 [-12, 12, 12, -12, 8],
 [-5, 10, 3, -11, 8]]

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


[User]
Determine the rank of the following matrix:
[[75, 30, 76, 26, -6],
 [1, 5, -14, -5, 2],
 [-64, -23, -52, -22, 26],
 [-14, 20, -26, -11, -8],
 [-33, -19, -28, -18, 64]]

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


[User]
Find the rank of the matrix:
[[18, 28, 4, 14, 0],
 [14, 12, -25, -16, 22],
 [13, 6, -38, -29, 32],
 [18, 12, -42, -30, 36],
 [-7, -10, 1, -3, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 3, -3, 9, 0],
 [-18, -6, 6, -18, 0],
 [-15, 11, 25, -3, 0],
 [-15, 11, 25, -3, 0],
 [-30, 14, 40, -12, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 10, -5, 25, -30],
 [-12, -12, 6, -30, 36],
 [2, 2, -1, 5, -6],
 [12, 12, -6, 30, -36],
 [-8, -8, 4, -20, 24]]

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


[User]
What is the rank of the matrix:
[[-6, -10, -5, -7, -5],
 [5, -8, -18, 7, 3],
 [38, 40, 0, 46, 30],
 [26, 34, 9, 31, 21],
 [-4, -2, 3, -5, -3]]?

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


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

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


[User]
Find the rank of the matrix:
[[-17, 2, -10, -7, -5],
 [-27, 13, 48, -13, 11],
 [27, -15, -39, 5, -18],
 [-27, 13, 48, -13, 11],
 [26, 0, 25, 14, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 22, -11, 4, -6],
 [6, -8, 4, -16, 4],
 [6, -8, 4, -16, 4],
 [5, -6, 3, -20, 4],
 [-4, 6, -3, 4, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 24, -4, -12, 24],
 [28, -35, 0, 24, -41],
 [28, -21, -14, 30, -39],
 [-32, 6, 34, -42, 42],
 [16, -38, 18, 6, -26]]

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


[User]
Calculate the rank of matrix A where A =
[[-39, -25, 5, -38, -12],
 [-21, 13, 6, 6, -66],
 [-18, -6, 3, -12, -18],
 [33, 7, -6, 18, 42],
 [9, 15, 0, 18, -18]]

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


[User]
Find the rank of the matrix:
[[18, -10, 11, 3, -13],
 [65, -30, 0, 20, 10],
 [-22, 22, 0, 0, 12],
 [7, 6, -4, 8, 18],
 [38, -31, -7, 5, -3]]

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


[User]
Determine the rank of the following matrix:
[[8, -12, 10, 12, -10],
 [-15, 24, -18, -27, 18],
 [14, -24, 16, 30, -16],
 [-26, 40, -32, -42, 32],
 [-18, 32, -20, -42, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[31, -13, -6, -13, -12],
 [-25, 38, -52, -15, 0],
 [-23, 29, -39, -10, 4],
 [-81, 39, -30, 45, 54],
 [52, -46, 30, 10, -4]]

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


[User]
Find the rank of the matrix:
[[16, -8, -24, 24, -4],
 [20, -10, -30, 30, -5],
 [0, 0, 0, 0, 0],
 [16, -8, -24, 24, -4],
 [20, -10, -30, 30, -5]]

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


[User]
What is the rank of the matrix:
[[18, -6, -46, 22, -36],
 [-21, -9, 43, -31, 30],
 [16, 20, -24, 28, -13],
 [4, -16, -20, 0, -19],
 [-23, -7, 49, -33, 35]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 15, -55, 17, -48],
 [7, -32, 8, 3, -14],
 [-10, 27, -74, 19, -42],
 [-20, 27, -13, -22, 10],
 [16, -52, 26, 16, -28]]

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


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

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


[User]
Find the rank of the matrix:
[[10, 10, 12, 4, -8],
 [-10, -10, -12, -4, 8],
 [-10, -10, -12, -4, 8],
 [-25, -25, -30, -10, 20],
 [-20, -20, -24, -8, 16]]

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


[User]
What is the rank of the matrix:
[[2, 30, -2, -1, -21],
 [0, 14, 19, -14, 5],
 [48, 0, 42, -24, 6],
 [16, 6, -49, 34, -47],
 [62, -24, -5, 11, -20]]?

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


[User]
Calculate the rank of matrix A where A =
[[-11, -6, 16, 16, 2],
 [-9, -18, 24, 0, -6],
 [2, 24, -22, 20, 13],
 [-5, 18, -10, 28, 13],
 [-2, 24, -18, 28, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[24, 6, -14, 21, 30],
 [-35, -21, 29, -2, -31],
 [7, 2, -16, 6, 13],
 [-5, -11, 9, 23, -21],
 [-15, -3, 6, -16, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 9, 3, 9, -6],
 [0, 12, 4, 12, -8],
 [0, -6, -2, -6, 4],
 [0, -15, -5, -15, 10],
 [0, 3, 1, 3, -2]]

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


[User]
What is the rank of the matrix:
[[47, 25, 4, -3, -28],
 [-31, -44, -42, 8, 32],
 [26, 47, 25, -57, -27],
 [2, -42, 20, 48, 10],
 [-17, 19, 19, -40, 0]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, 4, -8, 5, -6],
 [0, 24, 16, -12, 0],
 [-24, 30, 52, -36, 18],
 [0, -24, -16, 12, 0],
 [-4, -11, -2, 2, 3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[28, -26, -4, 16, 17],
 [19, -12, 6, 8, 27],
 [-28, 32, 12, -20, 0],
 [-15, 10, -15, -15, -15],
 [-47, 56, 47, -17, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -6, -16, 24, 4],
 [-33, 9, -11, -32, -25],
 [7, 9, 17, -12, -1],
 [36, -48, 4, -12, 32],
 [7, 24, 8, 38, 2]]

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


[User]
What is the rank of the matrix:
[[-6, 38, 13, 30, 5],
 [0, 4, -1, 6, 4],
 [12, -40, -35, -6, 26],
 [2, -26, -1, -30, -15],
 [-12, 48, 33, 18, -18]]?

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


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

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


[User]
Find the rank of the matrix:
[[-17, -15, -56, -42, 17],
 [7, 10, 26, 12, 3],
 [-33, -2, -44, -27, 25],
 [-3, 9, 6, -9, 21],
 [-30, 8, -10, 9, 8]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-18, 10, 26, -30, 16],
 [48, 13, -11, 20, 38],
 [15, -20, -66, 31, -6],
 [-6, 15, 25, -28, 30],
 [6, -15, -39, 22, -14]]?

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


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

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


[User]
Find the rank of the matrix:
[[-14, -6, 0, -8, 1],
 [24, 17, 32, -7, -10],
 [30, 51, 12, -27, 9],
 [-12, 46, -2, -26, 30],
 [18, -71, 21, 13, -57]]

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


[User]
What is the rank of the matrix:
[[-16, 24, -24, -12, -24],
 [20, -30, 30, 15, 30],
 [-4, 6, -6, -3, -6],
 [-24, 36, -36, -18, -36],
 [-20, 30, -30, -15, -30]]?

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


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

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


[User]
Find the rank of the matrix:
[[-64, -18, -24, 22, -24],
 [7, -11, 27, -6, 27],
 [-46, 0, -30, 50, -50],
 [7, -18, 39, -11, 41],
 [-10, -4, 6, 23, -7]]

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


[User]
What is the rank of the matrix:
[[6, 18, 9, -6, -18],
 [-8, 26, -7, 3, -31],
 [4, 32, 8, -6, -34],
 [-32, 4, -38, 22, -14],
 [12, 36, 18, -12, -36]]?

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


[User]
Determine the rank of the following matrix:
[[15, -20, 25, 30, -15],
 [-9, 12, -15, -18, 9],
 [-15, 20, -25, -30, 15],
 [-12, 16, -20, -24, 12],
 [-18, 24, -30, -36, 18]]

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


[User]
What is the rank of the matrix:
[[16, 43, 0, 46, -45],
 [4, 11, 6, 14, -33],
 [6, 23, -4, 21, 22],
 [4, -15, -33, -21, 24],
 [-14, -28, 23, -24, -14]]?

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


[User]
Find the rank of the matrix:
[[22, -2, 24, 35, -8],
 [-25, -9, -33, -44, 16],
 [-16, -10, -24, -26, 8],
 [-14, -14, -24, -23, 8],
 [4, -13, -6, 22, -20]]

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


[User]
What is the rank of the matrix:
[[7, -4, -10, 75, -11],
 [74, 10, 14, -26, 44],
 [-25, -1, -5, 2, 2],
 [-27, -9, -50, -5, -12],
 [28, -1, -22, 22, 13]]?

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


[User]
Find the rank of the matrix:
[[-37, -42, -47, 20, 17],
 [-16, 20, 4, -17, -13],
 [-16, 22, -2, 0, 2],
 [-48, -34, -62, 40, 38],
 [-27, -30, -2, -22, -34]]

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


[User]
Determine the rank of the following matrix:
[[25, -15, -5, 5, -5],
 [-10, 6, 2, -2, 2],
 [15, -9, -3, 3, -3],
 [25, -15, -5, 5, -5],
 [30, -18, -6, 6, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[36, 24, 24, 24, 30],
 [-12, -8, -8, -8, -10],
 [-30, -20, -20, -20, -25],
 [-36, -24, -24, -24, -30],
 [0, 0, 0, 0, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[17, -5, -1, 16, 12],
 [21, -15, -3, 28, 6],
 [-4, -20, -4, 16, -24],
 [3, 30, 6, -26, 33],
 [24, -15, -3, 30, 9]]

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


[User]
What is the rank of the matrix:
[[28, 13, -4, -23, 6],
 [28, 15, -26, 16, -37],
 [-16, -19, 34, -30, 43],
 [15, 1, 7, -25, 12],
 [24, 9, -12, 6, -17]]?

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


[User]
Determine the rank of the following matrix:
[[0, -5, 0, 5, -20],
 [0, 6, 0, -6, 24],
 [40, 36, -40, -26, 34],
 [-4, 1, 4, -2, 15],
 [12, 9, -12, -6, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[47, 47, -35, 35, 0],
 [25, 13, -2, -3, 16],
 [-34, -16, -6, 1, -14],
 [8, 36, 12, 44, -26],
 [-34, -54, 11, -44, 6]]

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


[User]
Determine the rank of the following matrix:
[[-21, -3, -6, 10, -17],
 [-62, 10, -17, 15, -20],
 [9, -7, -2, 2, -6],
 [21, -27, 15, -21, 30],
 [-24, 42, -24, 33, -48]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[9, 15, 16, 21, -3],
 [-50, -3, -37, 10, -9],
 [-46, -21, -48, -15, 3],
 [1, -30, 20, -22, -9],
 [-36, -6, -46, 16, 22]]

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


[User]
Calculate the rank of matrix A where A =
[[46, -32, 4, -11, -44],
 [34, -23, 31, -26, -31],
 [-30, -20, 40, 7, 0],
 [12, 28, -38, -2, 14],
 [-6, 34, -50, 13, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 0, -2, -6, -12],
 [-16, 0, 4, 12, 24],
 [-4, 0, 1, 3, 6],
 [-8, 0, 2, 6, 12],
 [-12, 0, 3, 9, 18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[39, 24, -20, 40, 22],
 [-27, -34, -6, 10, 6],
 [54, 52, 10, 15, 9],
 [24, 2, 34, 29, 10],
 [-9, -8, 34, -21, -17]]

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


[User]
Determine the rank of the following matrix:
[[53, 21, 17, 37, 32],
 [80, 52, 17, 13, 8],
 [-37, -17, 23, -8, -25],
 [63, 43, 22, 6, -8],
 [45, 37, 61, 25, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[34, 6, -50, 4, 24],
 [61, -46, 2, 48, 10],
 [-52, 47, 10, -38, -12],
 [9, 17, 6, 2, 2],
 [33, -44, -4, 5, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 20, -17, 16, -1],
 [3, 12, -11, 8, -11],
 [-4, 16, -12, 16, 20],
 [-2, -34, 29, -27, 3],
 [-3, -12, 11, -8, 11]]

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


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

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


[User]
What is the rank of the matrix:
[[-24, -16, -14, 14, 24],
 [8, 0, 3, 21, 0],
 [-21, -10, -12, 6, 23],
 [-45, -30, -25, 10, 35],
 [19, 6, 11, -5, -25]]?

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


[User]
What is the rank of the matrix:
[[26, 32, 19, 48, -13],
 [-15, -20, 36, 48, 46],
 [-6, -7, 9, -4, -4],
 [-19, -13, 28, 25, 11],
 [2, -16, -5, -26, 11]]?

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


[User]
Calculate the rank of matrix A where A =
[[-2, 3, -1, 8, 0],
 [-8, 12, -4, 32, 0],
 [-28, -9, -5, 4, 0],
 [45, 26, 6, 18, 0],
 [18, 24, 0, 36, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -9, 47, 46, 8],
 [-7, -6, 29, 24, 8],
 [11, 9, -40, -26, -16],
 [9, 36, 15, -20, 48],
 [9, 23, -16, -38, 24]]

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


[User]
What is the rank of the matrix:
[[0, 8, -2, 0, -12],
 [0, -6, -3, 24, 18],
 [0, -26, 2, 24, 48],
 [0, -4, 1, 0, 6],
 [0, 10, -4, 8, -12]]?

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


[User]
Determine the rank of the following matrix:
[[18, 12, 27, 24, -18],
 [-8, 11, 15, 15, 12],
 [-14, -13, -21, -27, 12],
 [-16, -17, -21, -37, 12],
 [-22, -5, -15, -15, 24]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-33, 43, -6, 31, -31],
 [27, -35, 5, -25, 25],
 [0, 2, 1, 4, -4],
 [-33, 43, -6, 31, -31],
 [-3, -5, -5, -15, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 37, 25, 34, 7],
 [18, -6, -8, -26, 16],
 [-35, 61, 52, 23, -12],
 [-21, 22, 21, 12, -12],
 [41, -9, -17, -24, 35]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-60, -15, -35, 40, -35],
 [-48, -22, -22, 36, -22],
 [-6, 21, -17, -5, -17],
 [-18, -7, -9, 13, -9],
 [42, 3, 29, -25, 29]]

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


[User]
Determine the rank of the following matrix:
[[-22, 20, -20, 25, -4],
 [-43, -14, -35, 3, 22],
 [-21, 4, -15, -8, -15],
 [44, 24, 56, 19, -4],
 [-35, -22, -33, -10, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 8, -20, 4, 0],
 [6, 0, 18, -6, -9],
 [-1, 2, -5, 1, 0],
 [1, -6, 9, -1, 3],
 [-13, -6, -33, 13, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, 26, 17, 26, 25],
 [12, 4, -8, 4, -28],
 [27, 30, 3, 30, -21],
 [-3, -2, 1, -2, 5],
 [-6, -20, -14, -20, -22]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 20, 24, -32, -32],
 [43, 16, 17, -54, -61],
 [35, 5, 0, -32, -32],
 [13, 0, 4, -12, -22],
 [24, 26, 30, -52, -54]]

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


[User]
Find the rank of the matrix:
[[-38, 39, -9, -32, 57],
 [36, -33, 9, -3, -2],
 [-22, 18, -12, 17, -19],
 [38, -41, 1, 45, -73],
 [-10, 4, -20, 36, -45]]

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


[User]
Determine the rank of the following matrix:
[[26, -3, -28, 12, 5],
 [-36, 16, 0, -36, 20],
 [-9, 4, 0, -9, 5],
 [-16, 12, -16, -24, 20],
 [21, -13, 12, 27, -20]]

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


[User]
Determine the rank of the following matrix:
[[-2, 15, -7, -7, 3],
 [0, 10, -50, -15, 5],
 [4, 17, 2, 4, 15],
 [-20, 23, 6, -17, 18],
 [-4, -23, 10, 6, 1]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[15, 26, -9, -13, -4],
 [-4, -14, -13, -39, 18],
 [-15, -14, -5, -21, 24],
 [0, -26, -7, -25, 2],
 [-13, 38, 5, 19, 22]]?

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


[User]
What is the rank of the matrix:
[[60, -1, -25, 64, 14],
 [-48, -26, 26, -28, 12],
 [-54, 0, 51, -69, -24],
 [48, 8, -9, 38, -2],
 [-60, -2, 41, -68, -18]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -58, -1, 8, -50],
 [28, 42, -44, -14, 86],
 [0, -36, -1, 14, -29],
 [8, 18, -14, -2, 32],
 [25, -4, -31, -22, 28]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 28, -32, 0, 22],
 [2, -8, 14, -6, -15],
 [-8, -22, 32, 0, -37],
 [7, -43, 29, 39, -10],
 [-22, -6, -2, 26, -2]]

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


[User]
Find the rank of the matrix:
[[7, 25, -16, 22, -42],
 [-26, -14, 8, 28, 12],
 [15, 24, -15, 6, -36],
 [-34, -13, 7, 44, 6],
 [35, 10, -5, -50, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-21, -6, -3, -2, 18],
 [-9, -6, 3, 4, 3],
 [-3, 6, -9, -10, 12],
 [-44, -24, 8, 12, 22],
 [-45, -30, 15, 20, 15]]

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


[User]
Find the rank of the matrix:
[[12, 7, -25, 4, -7],
 [-2, -2, 0, 6, -3],
 [-8, -9, -5, 32, -17],
 [10, 8, -10, -14, 5],
 [-8, -9, -5, 32, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[30, -64, 52, 25, 37],
 [-55, 5, 15, -11, -27],
 [-82, 33, -18, -15, -24],
 [-48, 23, -20, -5, -14],
 [-6, -50, 46, 20, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, -24, -24, 6, -12],
 [-3, -4, -4, 1, -2],
 [6, 8, 8, -2, 4],
 [9, 12, 12, -3, 6],
 [-15, -20, -20, 5, -10]]

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


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

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


[User]
Find the rank of the matrix:
[[-4, -4, 26, 36, 22],
 [5, -29, -23, -33, -34],
 [2, 16, -14, -21, -8],
 [5, -5, 10, -15, -25],
 [1, -1, 2, -3, -5]]

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


[User]
Determine the rank of the following matrix:
[[-18, 9, 3, -18, 9],
 [30, -15, -5, 30, -15],
 [0, 0, 0, 0, 0],
 [-36, 18, 6, -36, 18],
 [-36, 18, 6, -36, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, 16, 0, 3, 25],
 [16, 15, 0, -18, -2],
 [26, 20, 0, -3, 23],
 [16, 15, 0, -18, -2],
 [-18, -13, 0, -3, -21]]

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


[User]
What is the rank of the matrix:
[[-21, -21, -2, -17, 2],
 [6, -40, 18, 62, -74],
 [-20, -57, 22, -16, -25],
 [35, 4, -8, 63, -41],
 [18, 38, -22, -20, 44]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, -10, -24, 4, 24],
 [-25, 6, 1, -28, -26],
 [-39, 12, 1, -40, -26],
 [0, -11, -27, 14, 42],
 [-1, 13, 12, 2, 18]]

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


[User]
Determine the rank of the following matrix:
[[-16, -12, 17, 0, -26],
 [12, 6, -9, 6, 18],
 [-32, -28, 39, 8, -54],
 [-2, 1, -1, -5, -2],
 [-10, -11, 15, 7, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -20, 16, -4, 0],
 [-10, -25, 20, -5, 0],
 [8, 20, -16, 4, 0],
 [-2, -5, 4, -1, 0],
 [4, 10, -8, 2, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -6, 15, -9, -6],
 [24, -8, 20, -12, -8],
 [30, -10, 25, -15, -10],
 [-36, 12, -30, 18, 12],
 [18, -6, 15, -9, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[43, 60, 15, 31, -5],
 [-39, 9, -9, -30, -21],
 [-22, -31, -12, -17, 4],
 [9, 15, 13, 9, -5],
 [-53, -47, -9, -37, -7]]

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


[User]
Determine the rank of the following matrix:
[[-5, 0, 9, -1, -8],
 [4, 1, -3, -2, 2],
 [4, 27, 11, -9, -27],
 [-1, 36, 17, -7, -38],
 [-14, 11, 17, 4, -22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -20, -45, 8, -17],
 [34, -7, 17, 42, 48],
 [33, -23, 44, -18, 19],
 [3, -7, 60, -97, -17],
 [-17, 12, -1, 2, -21]]

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


[User]
What is the rank of the matrix:
[[-31, 15, 10, 17, -28],
 [-14, 54, 10, 12, 26],
 [5, 30, 15, 7, 21],
 [-27, 36, 40, 32, -28],
 [1, -24, -15, -9, -9]]?

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


[User]
Find the rank of the matrix:
[[-54, -9, -16, -6, -43],
 [-36, 7, -29, 2, -43],
 [60, 12, 14, 24, 36],
 [3, -4, 11, -29, 16],
 [30, 11, 16, -50, 9]]

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


[User]
Find the rank of the matrix:
[[0, 10, 0, -20, -26],
 [13, -11, -5, -19, -32],
 [-21, -3, -9, 21, 26],
 [-27, 9, -6, 18, 26],
 [2, -4, -7, -17, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[42, 14, 7, -31, -55],
 [8, -2, 9, 0, -12],
 [10, -22, 64, 34, -20],
 [17, 6, -3, -25, 8],
 [-13, 16, -31, 3, -30]]

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


[User]
Find the rank of the matrix:
[[0, 12, 2, 18, -24],
 [-8, -8, 4, 4, -4],
 [-2, -20, 10, 28, -19],
 [38, 2, -7, 8, 10],
 [-20, 28, -10, -44, 20]]

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


[User]
Find the rank of the matrix:
[[-11, -25, 6, 2, -29],
 [15, 56, -18, 13, 78],
 [24, -18, 0, 6, -30],
 [45, 16, -8, 1, 6],
 [-15, 36, -3, -12, 48]]

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


[User]
Find the rank of the matrix:
[[18, 6, -24, -6, 3],
 [-32, -16, -28, -7, -23],
 [-14, 5, -14, 5, -16],
 [28, 35, -25, -8, 28],
 [-38, 3, -30, -4, -17]]

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