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

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


[User]
Calculate the rank of matrix A where A =
[[-11, -12, 19, -3, -10],
 [-44, -52, -6, 28, -10],
 [37, 22, -9, -12, 32],
 [36, 24, -3, -15, 27],
 [-3, -30, -5, 10, 24]]

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


[User]
Determine the rank of the following matrix:
[[-4, 3, 7, -5, -30],
 [23, -14, 20, 20, 23],
 [-29, -7, 22, -29, -35],
 [-25, -30, 60, -28, -25],
 [20, -6, 8, 18, 16]]

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


[User]
Determine the rank of the following matrix:
[[2, -6, 7, 23, -9],
 [-40, -24, -30, -6, 56],
 [36, 16, 13, -53, 10],
 [0, -21, 2, 10, 15],
 [-24, -5, -13, 15, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[-52, -23, 26, 7, -49],
 [1, -36, -17, -10, -7],
 [-28, 5, 23, -14, -9],
 [-16, -57, -12, -17, -19],
 [-6, -12, 14, 24, 2]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -21, -4, -24, -1],
 [-20, 15, -20, 0, -5],
 [29, -17, 28, 4, 7],
 [-12, -10, -8, -16, -2],
 [-2, 11, -4, 8, -1]]

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


[User]
Find the rank of the matrix:
[[-18, -43, 50, -52, -9],
 [28, 14, -12, 19, 5],
 [-6, -30, 38, -37, -7],
 [-23, 26, -17, 14, -12],
 [-2, -15, 2, -6, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-7, 7, -12, 1, 5],
 [-20, -40, -15, 5, 35],
 [-31, -6, -43, 6, 38],
 [-27, -12, -39, 6, 42],
 [-28, -28, -23, 5, 27]]

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


[User]
Find the rank of the matrix:
[[16, 0, 32, -30, -26],
 [-37, -32, -33, 22, 39],
 [-3, -20, -28, 7, 35],
 [-29, -4, -9, 14, 1],
 [11, 42, -3, 35, -9]]

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


[User]
Determine the rank of the following matrix:
[[4, -14, -12, 14, 28],
 [-50, 12, -38, -23, 8],
 [-20, -16, -33, -3, 28],
 [-16, 10, 20, 20, 28],
 [24, -27, 3, 3, 0]]

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


[User]
What is the rank of the matrix:
[[-2, -32, -25, 29, -5],
 [8, 30, 16, -32, 20],
 [-2, -18, -13, 17, -5],
 [6, -23, -27, 15, 15],
 [-16, 10, 28, 4, -40]]?

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


[User]
Determine the rank of the following matrix:
[[0, 30, 12, -66, 24],
 [4, 27, 4, -45, 22],
 [8, 29, -2, -35, 24],
 [10, 35, -3, -41, 29],
 [-6, -8, 7, -4, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 16, -23, 8, 0],
 [3, 38, 42, 4, 35],
 [22, -14, -68, 8, -32],
 [21, 7, -12, -40, -32],
 [-2, 12, 17, 3, 14]]

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


[User]
What is the rank of the matrix:
[[-18, 7, -10, -15, -12],
 [-5, -18, -4, -38, -40],
 [-5, 21, 34, 11, 12],
 [-29, 30, 34, -16, -12],
 [-33, 31, 34, -11, -14]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, 2, 6, 32, 34],
 [-8, 33, -1, -12, 1],
 [-8, -32, 4, 28, 16],
 [-16, 1, 3, 16, 17],
 [6, -2, -1, -5, -6]]

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


[User]
Determine the rank of the following matrix:
[[-3, 1, -17, 7, 2],
 [-32, -60, 13, -42, -15],
 [8, 39, -16, 24, -3],
 [-18, 8, -7, -4, -23],
 [39, 14, -7, 29, 43]]

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


[User]
Determine the rank of the following matrix:
[[-46, -12, 11, 7, 46],
 [-41, -63, 25, -7, 23],
 [-21, -57, -12, 1, 5],
 [13, 23, -6, 30, 5],
 [6, -41, -8, -16, -24]]

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


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

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


[User]
Find the rank of the matrix:
[[-1, 8, 24, 16, -26],
 [-18, 0, -24, -24, 36],
 [-1, -4, -14, -10, 16],
 [-2, -8, -28, -20, 32],
 [21, -24, -48, -24, 42]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 1, -2, 8, 32],
 [58, -55, 25, -2, 37],
 [-4, 14, -6, 24, 30],
 [-10, 12, -5, -8, -29],
 [34, -22, 11, -2, 1]]

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


[User]
Determine the rank of the following matrix:
[[-4, 10, -7, 5, 1],
 [-10, -20, 11, -19, 1],
 [18, 0, 3, 9, -3],
 [-46, 10, -14, -16, 8],
 [4, -10, 7, -5, -1]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[16, -8, -36, -44, -2],
 [-28, 16, -14, -14, -31],
 [-23, 20, 29, 23, 19],
 [48, -37, 1, 14, 9],
 [-15, 11, 44, 47, 19]]

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


[User]
Determine the rank of the following matrix:
[[-48, -16, -24, 51, -13],
 [8, 20, -22, -9, -25],
 [32, 30, -13, -11, -25],
 [42, 34, -9, -24, -23],
 [28, 30, -17, 6, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 31, -14, 25, 33],
 [-33, 51, 24, 6, 18],
 [-27, 42, -12, 7, 35],
 [-4, -1, 44, -25, -33],
 [-10, 22, 4, 24, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -15, 5, -10, -25],
 [0, 9, -3, 6, 15],
 [0, -15, 5, -10, -25],
 [0, -12, 4, -8, -20],
 [0, -18, 6, -12, -30]]

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


[User]
What is the rank of the matrix:
[[12, 15, -6, -7, -24],
 [-4, -16, 2, 6, 41],
 [-20, -20, 10, 10, 25],
 [0, 18, 0, -6, -54],
 [-16, -4, 8, 4, -16]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[39, -15, 14, -8, -24],
 [5, -20, 18, -37, 6],
 [38, -14, -8, -8, 12],
 [42, -22, 22, -17, -34],
 [16, -6, 26, -1, -46]]

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


[User]
Find the rank of the matrix:
[[-24, -8, -12, -4, 26],
 [-36, -7, -2, 4, -31],
 [12, 3, 14, 0, -27],
 [24, 13, -18, 14, 19],
 [12, 8, -14, 10, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -9, -18, 0, 12],
 [-20, 15, 30, 0, -20],
 [16, -12, -24, 0, 16],
 [24, -18, -36, 0, 24],
 [16, -12, -24, 0, 16]]

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


[User]
Determine the rank of the following matrix:
[[-30, -25, -20, -20, -25],
 [18, 13, 16, 16, 17],
 [-12, -12, -4, -4, -8],
 [-6, -7, 0, 0, -3],
 [24, 19, 18, 18, 21]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -25, 10, -30, -5],
 [2, -10, 4, -12, -2],
 [4, 20, -32, 6, -14],
 [-8, -16, 40, 6, 22],
 [0, -8, 8, -6, 2]]

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


[User]
Find the rank of the matrix:
[[-1, -20, -16, 20, -12],
 [-14, 8, -54, -30, -28],
 [-37, 11, 45, -21, 46],
 [60, 22, 34, 13, -2],
 [-59, 11, -41, -39, -6]]

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


[User]
Find the rank of the matrix:
[[-12, -8, -5, 17, 3],
 [-24, 0, -30, -18, -30],
 [22, -2, 30, 23, 32],
 [-30, -10, -25, 10, -15],
 [-14, -2, -15, -4, -13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -4, 26, 18, -8],
 [14, 14, -7, 21, -20],
 [8, 8, 18, 34, -24],
 [-4, -4, -30, -38, 24],
 [-4, -4, -30, -38, 24]]

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


[User]
What is the rank of the matrix:
[[-33, -36, 27, 10, 3],
 [-3, -24, 54, 13, 38],
 [-30, -30, 15, 5, -5],
 [-16, -30, 1, -27, -19],
 [52, 30, 2, -20, 22]]?

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


[User]
What is the rank of the matrix:
[[-10, -8, -6, -4, -4],
 [36, 3, -30, -15, -9],
 [-17, -17, -37, -9, -23],
 [10, 49, 13, 57, -8],
 [29, -10, -4, -30, 11]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 24, -22, 10, -22],
 [-14, 16, -15, 9, -21],
 [-23, -18, 13, 17, -50],
 [9, -26, 23, -5, 8],
 [-11, 14, -13, 7, -16]]

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


[User]
What is the rank of the matrix:
[[-10, 10, -6, -10, -6],
 [55, -15, 30, 40, 10],
 [-16, 8, -9, -13, -5],
 [41, 7, 21, 23, -3],
 [-46, -2, -24, -28, 0]]?

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


[User]
Find the rank of the matrix:
[[8, -15, 3, 23, -21],
 [-17, -23, -7, 19, -6],
 [17, 32, 18, -34, 17],
 [-31, -14, -32, 11, -7],
 [6, -25, 25, 18, 12]]

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


[User]
Determine the rank of the following matrix:
[[-8, 23, -5, 8, 16],
 [-16, -4, 0, -24, -8],
 [6, 59, 39, 28, -8],
 [13, -37, 3, -10, -20],
 [7, -39, -7, -14, -12]]

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


[User]
What is the rank of the matrix:
[[-46, 10, 10, 32, -8],
 [-21, -63, -41, 26, -44],
 [5, -29, -42, 22, -40],
 [10, 14, 11, 18, -6],
 [47, 39, -1, -21, 13]]?

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


[User]
Find the rank of the matrix:
[[6, 15, 33, 21, 30],
 [-29, -1, -29, -27, -43],
 [20, -30, -26, -10, -4],
 [45, -32, -25, 4, 10],
 [-62, -20, -22, -52, -44]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -4, -4, -10, 12],
 [2, -6, -5, -21, 18],
 [-2, 10, 7, 43, -30],
 [3, -10, -8, -37, 30],
 [7, -8, -11, -2, 24]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, -20, 12, 22, -12],
 [16, -28, 12, -10, -12],
 [5, -13, 8, 16, -8],
 [10, -14, 4, -22, -4],
 [1, -5, 4, 14, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-59, -9, -37, -21, 24],
 [27, 21, 11, -28, 23],
 [5, 43, -15, -38, 31],
 [-13, -21, 1, -3, 6],
 [-32, 45, -36, -63, 54]]

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


[User]
What is the rank of the matrix:
[[-30, 30, 6, -36, 18],
 [10, -10, -2, 12, -6],
 [30, -30, -6, 36, -18],
 [15, -15, -3, 18, -9],
 [0, 0, 0, 0, 0]]?

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


[User]
Find the rank of the matrix:
[[5, -29, 18, -29, -24],
 [0, -24, -12, -24, -24],
 [1, -13, 0, -13, -12],
 [-5, -19, -42, -19, -24],
 [4, -28, 12, -28, -24]]

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


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

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


[User]
Find the rank of the matrix:
[[-6, -10, -21, -65, 54],
 [-30, 7, 22, 25, -16],
 [-5, -17, -30, -59, 43],
 [-23, 17, 9, 25, -24],
 [-14, 17, 20, 14, -5]]

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


[User]
Find the rank of the matrix:
[[-10, -6, -16, -8, 18],
 [-11, -11, -22, -7, 21],
 [-20, 10, -10, -25, 30],
 [23, 5, 28, 22, -39],
 [16, 14, 30, 11, -30]]

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


[User]
What is the rank of the matrix:
[[-25, 18, -26, -9, -10],
 [21, -20, 19, -23, 25],
 [37, -13, 31, -10, 39],
 [-19, 33, -23, 12, -7],
 [-11, -2, -6, 13, -22]]?

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


[User]
What is the rank of the matrix:
[[-6, 12, 24, 0, 42],
 [3, 8, -8, 0, -3],
 [16, 38, -44, 0, -22],
 [5, 18, -12, 0, 1],
 [15, 33, -42, 0, -24]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-15, -16, 11, -61, -36],
 [-3, -9, 11, -35, 9],
 [-21, -22, 9, -67, -8],
 [21, 3, 15, 33, 24],
 [-24, -7, -18, -18, -13]]

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


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

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


[User]
What is the rank of the matrix:
[[-29, 13, -27, 14, -6],
 [-16, 23, 0, 4, 6],
 [-8, -14, -24, 2, -6],
 [26, 3, 38, -8, 6],
 [-13, 24, 5, -8, 18]]?

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


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

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


[User]
Find the rank of the matrix:
[[7, 9, 15, -26, -31],
 [10, 10, 20, -30, -30],
 [10, 10, 20, -30, -30],
 [-9, 1, -13, 2, -23],
 [-3, -5, -7, 14, 19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, -20, -35, -34, 17],
 [31, 1, -1, -25, 36],
 [2, -9, -2, 15, 4],
 [6, -5, -6, -5, 8],
 [-9, 14, -3, -32, -13]]

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


[User]
Determine the rank of the following matrix:
[[-3, -6, 0, 3, -18],
 [-6, -12, 0, 6, -36],
 [-1, -2, 0, 1, -6],
 [-4, -8, 0, 4, -24],
 [-1, -2, 0, 1, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 18, 19, -15, -4],
 [-27, -18, 1, 3, -4],
 [5, 12, 21, -15, -6],
 [12, 18, 24, -18, -6],
 [-3, 9, 27, -18, -9]]

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


[User]
What is the rank of the matrix:
[[-2, 43, -55, 39, -2],
 [26, 21, -59, 19, -19],
 [4, 4, -37, 18, -41],
 [6, 45, -36, 37, -4],
 [6, 7, 1, 11, -24]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-18, 6, -30, -18, 12],
 [-19, -26, 6, 22, -23],
 [52, 52, 34, -2, -11],
 [-21, -23, -15, -1, 9],
 [20, 1, 25, 11, -6]]

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


[User]
Determine the rank of the following matrix:
[[16, -18, 18, 36, -40],
 [7, 4, 3, -3, 8],
 [-27, 51, -18, -27, 12],
 [24, -22, 18, 24, -16],
 [21, -32, 9, 3, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 2, -10, -2, -4],
 [-12, 2, -10, -2, -4],
 [18, -13, 15, 5, 14],
 [-18, -27, -15, 3, 18],
 [-36, 6, -30, -6, -12]]

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


[User]
Find the rank of the matrix:
[[-6, 10, -74, -28, -12],
 [-17, -15, -42, -17, 1],
 [-16, -27, -18, -19, -22],
 [-7, 34, -14, 26, -31],
 [-5, -39, 6, -27, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[43, 23, 24, 21, 2],
 [23, 15, 54, 33, 16],
 [-34, -30, -54, -30, -26],
 [4, 10, -15, -12, 5],
 [35, 14, 6, 12, -8]]

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[User]
Determine the rank of the following matrix:
[[6, 42, -4, -16, -19],
 [8, -14, -8, 40, 33],
 [-19, -16, -6, 6, 1],
 [13, -18, 2, 18, 23],
 [-57, 0, 26, -20, -67]]

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[User]
Determine the rank of the following matrix:
[[-18, 0, -42, 12, 30],
 [-7, 4, -14, -3, -14],
 [-6, 6, 1, -11, -23],
 [7, 3, 20, -11, -30],
 [30, -8, 50, 0, -6]]

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[User]
Determine the rank of the following matrix:
[[-60, 0, -18, -48, -6],
 [-15, 0, -4, -13, -6],
 [-15, 0, -3, -15, -15],
 [-10, 0, -2, -10, -10],
 [5, 0, -2, 11, 32]]

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[User]
What is the rank of the matrix:
[[32, 66, -46, 30, 6],
 [15, 27, -8, 4, -17],
 [46, 15, -47, 15, -15],
 [-7, 8, 11, -3, -4],
 [-18, 24, -14, 22, 52]]?

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[User]
What is the rank of the matrix:
[[-4, -4, 2, -5, 3],
 [-5, -10, 5, -10, 5],
 [7, 26, -13, 23, -10],
 [1, -14, 7, -10, 3],
 [-7, -38, 19, -32, 13]]?

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

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[User]
Determine the rank of the following matrix:
[[-2, 11, -33, 7, -11],
 [-28, -26, -42, -2, -14],
 [0, -9, 21, -5, 7],
 [-6, -21, 27, -9, 9],
 [-6, -21, 27, -9, 9]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-4, 8, 0, -6, -9],
 [72, 48, -36, -12, -6],
 [4, 20, 24, 20, 16],
 [-4, 12, -30, -40, -44],
 [28, 60, -12, -20, -28]]

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

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[User]
What is the rank of the matrix:
[[-16, -16, 8, -20, -12],
 [-4, -4, 2, -5, -3],
 [0, 0, 0, 0, 0],
 [24, 24, -12, 30, 18],
 [12, 12, -6, 15, 9]]?

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

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

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[User]
Determine the rank of the following matrix:
[[-9, -28, 36, 2, -37],
 [15, -7, -12, 16, 14],
 [14, -10, 28, 14, -11],
 [-12, 31, 30, -8, -26],
 [53, -35, -14, 62, 27]]

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[User]
Calculate the rank of matrix A where A =
[[34, -56, 69, 18, 13],
 [-30, 50, -85, -4, -35],
 [-17, 34, -34, -26, 18],
 [12, 8, 4, 48, -39],
 [-34, 58, -50, 18, -49]]

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[User]
Find the rank of the matrix:
[[14, 61, 18, 3, 22],
 [16, 20, 0, 12, 8],
 [-30, 6, 18, -30, 0],
 [2, 46, 18, -6, 16],
 [-3, -40, -15, 4, -14]]

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[User]
Calculate the rank of matrix A where A =
[[48, 0, 24, 12, 12],
 [14, 24, 35, 7, 46],
 [24, 32, 22, 9, 8],
 [-29, -17, -36, -13, -40],
 [-10, 70, 10, -5, -10]]

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[User]
Find the rank of the matrix:
[[32, 28, 20, -20, -20],
 [44, 36, 30, -26, -24],
 [60, 60, 30, -42, -48],
 [14, 16, 5, -11, -14],
 [-50, -50, -25, 35, 40]]

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[User]
Calculate the rank of matrix A where A =
[[11, 12, -2, 5, 10],
 [-59, 21, 40, 15, 2],
 [5, 24, -6, -5, 6],
 [31, -18, -26, -15, -8],
 [-38, 30, 40, 30, 20]]

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

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[User]
What is the rank of the matrix:
[[-4, 3, -4, 11, 23],
 [-16, 8, 15, -5, -38],
 [-31, 5, 24, 16, -34],
 [-44, -39, 9, 33, -16],
 [7, 18, -2, -38, -36]]?

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[User]
What is the rank of the matrix:
[[-48, -34, 17, -1, 36],
 [-6, -3, 8, -10, -4],
 [0, -10, -27, 39, 38],
 [42, 33, -10, -4, -38],
 [-54, -37, 27, -15, 29]]?

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[User]
Calculate the rank of matrix A where A =
[[10, 2, -6, 22, 25],
 [-42, -6, -24, 57, 12],
 [-44, 6, -41, 3, -39],
 [-6, 8, -3, -14, -12],
 [2, 22, -42, 16, 12]]

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[User]
What is the rank of the matrix:
[[36, -18, -9, -24, -6],
 [-45, 10, 10, 30, 20],
 [-12, 26, 5, 8, -18],
 [3, 26, 2, -2, -28],
 [15, -10, -4, -10, 0]]?

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[User]
What is the rank of the matrix:
[[-15, -7, -17, -11, 1],
 [2, 0, 6, -13, 12],
 [24, 12, 24, 30, -12],
 [-3, -3, 3, -27, 21],
 [-1, -3, 9, -40, 33]]?

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[User]
Determine the rank of the following matrix:
[[3, 25, -26, -2, 50],
 [2, 16, -31, -24, 17],
 [7, 25, -26, -51, 3],
 [9, -21, 14, 20, -32],
 [11, 3, -25, -30, -21]]

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[User]
Calculate the rank of matrix A where A =
[[-24, -33, -33, 21, -24],
 [29, 29, 29, -13, 17],
 [-15, 12, 12, -24, 21],
 [1, 5, 5, -5, 5],
 [-23, 1, 1, -17, 13]]

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[User]
Calculate the rank of matrix A where A =
[[7, 9, -29, 24, -31],
 [25, -6, 10, -6, -1],
 [21, -15, 39, -26, 19],
 [-42, 2, 8, -7, 18],
 [8, 18, -58, 40, -40]]

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[User]
Calculate the rank of matrix A where A =
[[28, 48, -22, -3, -7],
 [-6, -27, 6, 33, 3],
 [3, 27, -6, -24, 12],
 [9, 21, -10, 12, 16],
 [4, -9, 2, -7, -29]]

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

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[User]
Compute the rank of the given 5x5 matrix:
[[62, -28, 32, 16, 52],
 [26, 0, 3, 7, 9],
 [50, -24, 24, 10, 42],
 [-6, -24, 8, -14, 18],
 [33, 14, 20, 36, 10]]

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[User]
Determine the rank of the following matrix:
[[4, -4, 16, -24, 20],
 [24, -12, 0, -4, -4],
 [-36, 15, 24, -29, 37],
 [56, -26, -16, 14, -30],
 [44, -20, -16, 16, -28]]

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[User]
Find the rank of the matrix:
[[-10, 40, -16, -6, 6],
 [12, -9, 14, 2, 24],
 [2, -29, 6, 4, -18],
 [12, -9, 14, 2, 24],
 [28, -31, 34, 6, 48]]

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

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

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[User]
Compute the rank of the given 5x5 matrix:
[[28, -30, -4, 53, 57],
 [28, 14, -12, 63, 56],
 [-22, -33, 17, -12, -10],
 [-16, -48, 24, -32, -22],
 [-10, 25, 5, -15, -21]]

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

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

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[User]
What is the rank of the matrix:
[[2, -1, 1, 1, -11],
 [-2, -26, -28, 2, 8],
 [0, 45, 45, -5, 5],
 [-5, 34, 29, -6, 31],
 [3, 3, 6, 1, -16]]?

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[User]
Calculate the rank of matrix A where A =
[[3, -41, -54, 39, 12],
 [-27, -32, 9, -5, 13],
 [9, 5, 9, 19, -29],
 [4, 45, 10, 5, -16],
 [3, -7, 0, -9, 6]]

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

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[User]
Find the rank of the matrix:
[[30, 24, 0, 12, 6],
 [0, 0, 0, 0, 0],
 [27, 12, -9, -3, 6],
 [-21, -4, 12, 10, -5],
 [24, 0, -18, -18, 6]]

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[User]
Find the rank of the matrix:
[[4, 18, 28, -4, 16],
 [12, -6, 29, -8, 28],
 [-10, 20, -18, 8, -23],
 [36, -43, -15, 2, 27],
 [-20, 15, -21, 6, -31]]

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[User]
Find the rank of the matrix:
[[-9, 28, -51, 10, 21],
 [68, -18, -3, -12, -49],
 [49, -45, -28, -49, -8],
 [-55, 30, -35, 25, 65],
 [-1, -58, 17, -42, 29]]

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[User]
What is the rank of the matrix:
[[24, 16, 0, 0, -20],
 [-12, -30, 30, 6, -15],
 [42, 6, 30, 6, -60],
 [18, 34, -30, -6, 10],
 [-16, 4, -20, -4, 30]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-4, -10, -12, -46, 2],
 [48, 12, -18, 12, 30],
 [-8, -8, -6, -32, -2],
 [-20, -10, 0, -30, -10],
 [-8, -6, -3, -22, -3]]

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[User]
Determine the rank of the following matrix:
[[9, -7, -22, 21, 23],
 [38, 70, -12, 26, 10],
 [29, 25, -18, 15, 9],
 [23, 35, -30, 19, 7],
 [-39, -19, 37, -50, -49]]

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[User]
Find the rank of the matrix:
[[6, 15, 0, 6, 9],
 [4, 1, 1, -3, 1],
 [-6, -24, 1, -13, -14],
 [-14, -17, -2, 0, -11],
 [-20, -32, -2, -6, -20]]

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[User]
Determine the rank of the following matrix:
[[4, -10, 0, -19, 24],
 [62, -48, -21, -12, -60],
 [6, 14, -15, 31, 12],
 [-64, 32, 36, -14, 24],
 [56, -47, -18, -20, -42]]

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[User]
Determine the rank of the following matrix:
[[11, 24, 0, -20, -43],
 [-58, 59, 61, -30, -70],
 [-6, 0, -32, 26, 8],
 [33, -21, -17, 10, 12],
 [-10, 0, 16, -6, 4]]

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[User]
Find the rank of the matrix:
[[40, -32, 32, 14, 14],
 [21, -39, 18, 52, 23],
 [32, -34, 28, 27, 17],
 [-6, 30, -4, -54, -20],
 [15, 9, 2, -32, -9]]

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

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[User]
What is the rank of the matrix:
[[0, -4, -10, -36, -6],
 [15, 12, 0, -12, -12],
 [-54, -48, -12, 0, 36],
 [-40, -36, -10, -4, 26],
 [-39, -36, -12, -12, 24]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[34, 37, 7, -3, -33],
 [13, 15, -40, 16, 46],
 [-40, -6, -6, -10, 26],
 [-28, 8, -2, 20, 30],
 [-4, -24, 26, -4, -28]]

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[User]
What is the rank of the matrix:
[[-28, -36, 16, 48, -20],
 [0, 0, 0, 0, 0],
 [-33, -39, 9, 54, -27],
 [18, 30, -30, -36, 6],
 [18, 22, -7, -30, 14]]?

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[User]
Determine the rank of the following matrix:
[[21, 21, -5, -13, 30],
 [24, 18, -13, 6, 30],
 [-3, 31, 2, 12, -11],
 [16, 0, -4, -45, 25],
 [5, -63, -3, -51, 20]]

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[User]
Compute the rank of the given 5x5 matrix:
[[4, -8, 10, -44, 56],
 [22, 18, -43, -32, 14],
 [21, 17, -4, -35, 47],
 [-7, -8, 12, 8, 24],
 [-13, -16, 23, 2, 8]]

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

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[User]
Find the rank of the matrix:
[[36, 36, -20, -20, 24],
 [3, -2, -5, 0, 2],
 [12, 7, -10, -5, 8],
 [-6, -8, 2, 4, -4],
 [33, 26, -23, -16, 22]]

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[User]
Determine the rank of the following matrix:
[[-30, 36, 12, -33, -18],
 [28, -42, -16, 36, 22],
 [-34, 24, 4, -27, -10],
 [-8, -24, -16, 12, 16],
 [-4, -12, -8, 6, 8]]

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[User]
Determine the rank of the following matrix:
[[32, -3, 22, -35, 13],
 [-11, 12, -16, 5, 2],
 [22, -24, 32, -10, -4],
 [12, 33, -18, -35, 25],
 [33, -36, 48, -15, -6]]

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[User]
Calculate the rank of matrix A where A =
[[1, 22, 30, 4, -5],
 [12, -16, -30, 8, 10],
 [-21, 14, 33, -16, -14],
 [20, -8, -24, 16, 12],
 [-3, -10, -12, -4, 1]]

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[User]
Compute the rank of the given 5x5 matrix:
[[17, 37, -24, -26, 2],
 [-58, -42, -42, 30, -42],
 [37, 49, 0, -44, 14],
 [25, 41, -18, -25, 10],
 [-7, 17, -48, 5, -8]]

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[User]
Calculate the rank of matrix A where A =
[[-11, -36, -27, 1, -35],
 [0, 76, -16, -70, 56],
 [25, -14, -1, 11, 21],
 [-14, -50, 7, 30, -39],
 [14, -16, 19, 30, 3]]

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[User]
What is the rank of the matrix:
[[-11, 47, 5, 24, 15],
 [-26, 0, -66, -36, -42],
 [14, -46, 9, -16, -11],
 [-7, 55, 43, 48, 21],
 [-2, -30, -34, -32, -22]]?

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[User]
Calculate the rank of matrix A where A =
[[3, 14, -9, 17, 0],
 [-3, 0, 15, -13, -24],
 [8, 32, -17, -15, -28],
 [-8, -21, 20, 29, 16],
 [-13, -28, 40, 18, -4]]

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


[User]
Find the rank of the matrix:
[[24, -3, -49, -29, -22],
 [30, 15, -25, -5, -10],
 [-12, 9, 39, 27, 18],
 [-18, -24, -14, -22, -8],
 [34, 12, -38, -14, -16]]

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[User]
What is the rank of the matrix:
[[0, -6, -8, 0, 6],
 [-12, 39, 6, -30, -21],
 [-4, 19, 10, -10, -13],
 [-6, 21, 5, -15, -12],
 [-6, 12, -7, -15, -3]]?

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[User]
Determine the rank of the following matrix:
[[-9, -15, -2, 0, 21],
 [40, -24, 7, -34, 3],
 [-12, 12, -2, 12, -6],
 [15, 9, 3, -6, -18],
 [-25, -15, -5, 10, 30]]

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[User]
What is the rank of the matrix:
[[19, -36, -9, -20, -36],
 [-12, 8, -13, 28, 31],
 [9, 14, -58, -20, -24],
 [5, -36, -1, 26, 20],
 [-25, -10, 0, 0, -40]]?

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

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[User]
Compute the rank of the given 5x5 matrix:
[[-18, 12, 14, 32, -56],
 [-17, 15, -10, 29, -37],
 [5, -6, 13, -8, 4],
 [17, -12, -9, -30, 50],
 [0, -3, 19, 1, -13]]

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[User]
What is the rank of the matrix:
[[10, 4, -12, -10, -8],
 [-30, -12, 36, 30, 24],
 [10, 4, -12, -10, -8],
 [-25, -10, 30, 25, 20],
 [-20, -8, 24, 20, 16]]?

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

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


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

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[User]
Determine the rank of the following matrix:
[[-7, 20, -42, 36, 37],
 [3, -15, 18, -9, -18],
 [-9, 27, -54, 45, 48],
 [8, -22, 48, -42, -42],
 [5, -13, 30, -27, -26]]

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


[User]
Find the rank of the matrix:
[[25, -32, -8, 73, 8],
 [-5, -38, -23, 37, 20],
 [15, 0, 48, 15, -24],
 [-5, -40, 4, 35, 8],
 [20, -22, 23, 50, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[5, 12, -10, 24, -6],
 [11, 20, -16, 42, -6],
 [9, 12, -9, 27, 0],
 [1, 12, -11, 21, -12],
 [-24, 0, -6, -18, -36]]

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


[User]
Find the rank of the matrix:
[[-8, 12, -4, -24, -32],
 [-3, -5, -25, -32, -17],
 [1, 7, -17, 30, -14],
 [1, -15, -7, -34, 12],
 [-1, 1, -3, -4, -5]]

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


[User]
Determine the rank of the following matrix:
[[10, 16, 36, -16, -8],
 [-18, 24, -36, -24, 24],
 [9, 21, 36, -21, -6],
 [-6, 8, -12, -8, 8],
 [-5, -8, -18, 8, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -14, 2, 0, 14],
 [13, -78, -43, -43, -38],
 [-51, -1, 4, -33, 9],
 [-22, -20, 3, -22, -9],
 [-10, -9, 16, 12, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 35, 40, -12, 23],
 [17, 12, -11, 20, -3],
 [2, -11, -26, -4, 31],
 [-30, -21, 30, -28, -27],
 [-39, -21, 39, -42, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-26, 17, -22, -53, -26],
 [16, -13, -1, -11, -16],
 [-7, 27, 12, 38, 39],
 [-29, 10, -20, -65, -37],
 [33, 1, -8, -12, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, -21, -35, 14, 23],
 [-38, -41, -46, -33, 14],
 [12, 26, 33, -18, 24],
 [-18, -8, -9, -35, 14],
 [4, 17, 11, -2, -8]]

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


[User]
What is the rank of the matrix:
[[-4, -18, -1, 9, 23],
 [0, -6, -2, 3, 9],
 [-16, -12, 16, 6, 2],
 [-20, -12, 21, 6, -2],
 [8, -6, -12, 3, 17]]?

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


[User]
Determine the rank of the following matrix:
[[-36, -6, 12, -24, -30],
 [61, 26, 8, -1, 50],
 [-1, -4, 20, -28, 15],
 [-21, -50, -32, 46, 11],
 [-36, 12, 0, -9, -57]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[23, 6, -3, -4, -21],
 [-21, 18, 11, -22, 62],
 [59, 38, 3, -36, -10],
 [-20, -20, -30, 30, -35],
 [-14, 22, 4, -23, 53]]

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


[User]
Find the rank of the matrix:
[[-20, -21, 2, 21, 8],
 [-36, 22, -12, -22, 4],
 [34, -8, 8, 8, -6],
 [-22, -30, 4, 30, 10],
 [-4, -18, 4, 18, 4]]

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


[User]
What is the rank of the matrix:
[[6, 8, -4, -18, -4],
 [-12, -26, 10, 51, 15],
 [-21, 22, 4, -12, -21],
 [39, -38, -8, 18, 37],
 [6, -32, 4, 42, 24]]?

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


[User]
Determine the rank of the following matrix:
[[-14, 26, 33, 4, 22],
 [24, 24, 12, -24, 18],
 [36, 20, 2, -32, 14],
 [-50, -10, 15, 40, -5],
 [-4, -4, -2, 4, -3]]

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


[User]
What is the rank of the matrix:
[[36, 18, 30, -18, -30],
 [-6, -3, -5, 3, 5],
 [36, 18, 30, -18, -30],
 [0, 0, 0, 0, 0],
 [30, 15, 25, -15, -25]]?

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


[User]
Determine the rank of the following matrix:
[[-30, -10, -15, 10, 10],
 [12, 4, 6, -4, -4],
 [0, 0, 0, 0, 0],
 [-6, -2, -3, 2, 2],
 [-24, -8, -12, 8, 8]]

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


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

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


[User]
What is the rank of the matrix:
[[-20, -45, -9, 12, -9],
 [-8, -34, 19, 11, -23],
 [-2, 18, -14, -14, 26],
 [-14, -37, 3, 10, -13],
 [-10, -22, 0, 4, -4]]?

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


[User]
Find the rank of the matrix:
[[8, -32, -26, -20, 30],
 [-40, -8, 4, 44, -24],
 [-56, -16, 2, 60, -30],
 [26, 10, 1, -27, 12],
 [36, 12, 0, -38, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 6, -26, 7, -25],
 [8, 12, 16, 20, -8],
 [27, 48, -21, 53, -26],
 [-3, -21, 11, -22, 14],
 [-16, -48, 8, -45, 5]]

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


[User]
Determine the rank of the following matrix:
[[-11, 6, 27, 0, 18],
 [-5, 30, 30, -30, 15],
 [-5, 10, 17, -8, 10],
 [-15, 30, 51, -24, 30],
 [16, 4, -31, -14, -23]]

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


[User]
Determine the rank of the following matrix:
[[-48, 18, -9, 38, -67],
 [-39, -14, 2, 58, -18],
 [20, 78, -34, -24, -18],
 [-57, -12, 0, 78, -36],
 [-17, -43, 20, 8, -6]]

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


[User]
Find the rank of the matrix:
[[9, -27, -17, 12, -70],
 [15, 15, 25, 10, 53],
 [6, 6, 12, -6, 20],
 [-15, -15, 30, 19, 47],
 [-44, -12, -8, 28, 21]]

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


[User]
What is the rank of the matrix:
[[-1, 3, 13, -1, 18],
 [-13, -11, -21, -3, -6],
 [-16, -7, -1, -5, 24],
 [-31, -17, -15, -9, 30],
 [6, -3, -21, 3, -36]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-26, 7, 14, 15, 2],
 [18, 4, -32, -22, 3],
 [-14, 13, -14, -3, 2],
 [1, 8, -9, -4, -22],
 [7, -29, 47, 21, 23]]

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


[User]
Determine the rank of the following matrix:
[[-44, 6, -9, -20, -41],
 [-12, 60, 31, 49, 38],
 [-4, 36, 70, 14, 20],
 [-24, 21, 22, 2, -11],
 [-42, 31, -14, 23, -24]]

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


[User]
Determine the rank of the following matrix:
[[4, 16, 4, -12, 4],
 [-1, 5, 0, 6, -10],
 [-49, -21, 38, -40, -64],
 [-32, -14, 25, -27, -41],
 [-53, -29, 37, -33, -71]]

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


[User]
Determine the rank of the following matrix:
[[-8, 35, -56, 1, -29],
 [12, 16, -22, -4, -6],
 [-12, 4, -2, -28, 32],
 [16, -4, 16, -32, 46],
 [-4, -39, 58, 9, 18]]

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


[User]
Determine the rank of the following matrix:
[[-2, 1, -2, 5, 0],
 [2, -4, -16, -8, -12],
 [-1, 3, 14, 5, 10],
 [-2, 4, 16, 8, 12],
 [-10, 5, -10, 25, 0]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-24, -44, 4, 60, 36],
 [25, 13, -7, 13, 41],
 [1, 25, -31, -21, 17],
 [67, 28, -19, -4, 10],
 [-67, -27, 14, 8, 1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -6, 6, 6, -4],
 [-12, -36, 28, 4, -8],
 [-7, -6, 3, -6, 2],
 [12, 18, -12, 6, 0],
 [27, 36, -23, 16, -2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, -20, -40, 2, 0],
 [17, 12, -40, -3, -27],
 [-24, 16, 40, -5, 7],
 [11, 11, -5, 23, -28],
 [13, -29, -31, 42, -14]]

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


[User]
What is the rank of the matrix:
[[-24, -12, 36, 24, -6],
 [-4, -2, 6, 4, -1],
 [8, 4, -12, -8, 2],
 [-16, -8, 24, 16, -4],
 [8, 4, -12, -8, 2]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, -14, -3, 4, 6],
 [-10, 1, 2, -4, 4],
 [-27, 37, 39, -44, 4],
 [-1, -36, -7, 10, 15],
 [23, -13, -11, 16, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[3, 5, -15, -29, 5],
 [-3, -23, 12, 11, 10],
 [-48, -12, 50, -8, 40],
 [8, 16, -20, -25, -8],
 [0, 6, -1, -9, -10]]?

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


[User]
What is the rank of the matrix:
[[-6, -4, -6, -10, 10],
 [3, -12, 9, 33, -30],
 [3, 16, -3, -23, 20],
 [-4, -26, 6, 40, -35],
 [13, 4, 15, 31, -30]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 23, 4, 14, 12],
 [12, 23, 4, 14, 12],
 [20, 40, 7, 22, 21],
 [12, 33, 6, 6, 18],
 [24, 36, 6, 36, 18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, 14, -16, 36, 12],
 [0, 16, 16, -24, 0],
 [1, -17, -22, 35, 2],
 [2, 14, 4, -2, 4],
 [-3, 7, 22, -39, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -20, -12, 12, 0],
 [-18, -22, -14, 6, 2],
 [0, -2, 2, 30, -8],
 [-10, -10, -10, -30, 10],
 [4, 3, 5, 27, -8]]

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


[User]
Determine the rank of the following matrix:
[[39, 1, 30, -11, -14],
 [54, -8, 26, -11, -11],
 [-21, -5, -23, 10, 13],
 [1, 13, 27, 12, 1],
 [49, -17, 5, -15, -8]]

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


[User]
Find the rank of the matrix:
[[-6, 24, 18, 18, 0],
 [-2, 8, 6, 6, 0],
 [2, -8, -6, -6, 0],
 [-1, 4, 3, 3, 0],
 [2, -8, -6, -6, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -24, -13, -37, -19],
 [7, -2, 18, 43, 50],
 [26, -13, -5, -33, -10],
 [-16, 5, 6, 22, 7],
 [19, -32, -15, -32, -11]]

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


[User]
What is the rank of the matrix:
[[-33, 2, 6, 22, 26],
 [3, -15, -31, -51, -32],
 [27, -23, -13, -34, -73],
 [48, 16, 4, 2, 30],
 [48, -33, 3, 11, -54]]?

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


[User]
Calculate the rank of matrix A where A =
[[11, 12, -2, 22, 7],
 [-28, -25, 28, -2, 12],
 [-35, -32, 31, -12, 10],
 [5, -13, 4, 28, -9],
 [12, -21, -24, -18, -48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, -23, -22, 44, 34],
 [44, -64, 16, 0, 4],
 [-29, 31, -19, 12, 5],
 [-35, 61, -34, -4, -18],
 [46, -22, 16, -40, -36]]

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


[User]
What is the rank of the matrix:
[[17, -19, 33, -4, 1],
 [-26, -2, -16, 30, -10],
 [16, -7, -11, 4, 0],
 [49, 26, -4, -70, 27],
 [-42, -22, 10, 56, -22]]?

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


[User]
What is the rank of the matrix:
[[-7, -25, -1, 23, 4],
 [5, 9, 20, 2, -9],
 [15, 51, 46, -5, 11],
 [9, 27, 39, -24, -60],
 [3, 5, 37, 16, -14]]?

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


[User]
Find the rank of the matrix:
[[-31, 12, 20, -19, 4],
 [54, -6, -10, 20, -16],
 [-9, -21, -35, 16, 16],
 [-26, -24, -40, 14, 24],
 [8, 15, 25, -11, -12]]

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


[User]
Find the rank of the matrix:
[[-11, -22, -9, -29, 0],
 [-24, -26, -9, -42, 18],
 [8, -30, -46, 10, 12],
 [32, -12, -17, 21, -12],
 [-53, -5, 18, -62, -18]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, -56, 19, -8, -49],
 [-23, 28, -23, -14, 11],
 [15, -14, 1, 16, -43],
 [-15, 24, 36, 26, 21],
 [-18, 40, -80, -41, 29]]

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


[User]
Find the rank of the matrix:
[[-24, 36, 30, 54, -42],
 [-14, 34, 22, 48, -30],
 [-5, -25, -5, -30, 5],
 [-32, -4, 22, 6, -34],
 [17, 7, -10, 3, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-23, 50, 22, 60, -10],
 [-15, 28, 42, 19, 14],
 [56, 14, -22, -38, 36],
 [-31, -4, -8, 56, -38],
 [-28, -2, -26, 49, -46]]

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


[User]
Determine the rank of the following matrix:
[[-50, -5, 35, -10, -15],
 [56, 2, -37, 13, 15],
 [-28, 8, 13, -11, -3],
 [52, -2, -32, 14, 12],
 [-46, -1, 30, -11, -12]]

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


[User]
Find the rank of the matrix:
[[26, 29, -22, -31, 30],
 [8, 28, -42, -36, 23],
 [-10, -22, 26, 17, -4],
 [-4, 20, -40, -22, 2],
 [0, -3, 6, 6, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -40, 35, 15, -15],
 [-12, 20, -24, -12, 10],
 [3, -26, 13, 3, -6],
 [9, -42, 27, 9, -12],
 [12, -8, 20, 12, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[24, -15, -9, -14, -5],
 [3, -5, 2, -3, -5],
 [-27, 25, 2, 19, 17],
 [12, -10, -2, -8, -6],
 [-45, 45, 0, 33, 33]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, -6, 18, 8, -8],
 [-8, 3, -27, 14, 17],
 [50, 6, 1, -38, -10],
 [0, -18, 45, 6, -28],
 [22, 12, 3, -34, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[3, 3, -24, -21, 18],
 [10, 18, -4, 6, 8],
 [-24, -44, 2, -22, -14],
 [-1, -5, -30, -31, 20],
 [10, 18, -4, 6, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 30, -31, -15, -19],
 [16, -27, 14, 10, -12],
 [10, -40, 6, -10, 4],
 [13, -28, -6, -15, -5],
 [29, -33, -44, -45, -39]]

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


[User]
What is the rank of the matrix:
[[-59, 7, 15, -6, 17],
 [-4, -13, 11, -31, -38],
 [-51, -12, -40, 30, 2],
 [-4, -34, 18, 10, -6],
 [34, -17, 49, -19, -7]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, -32, -27, 20, -3],
 [-24, 8, -12, 20, -8],
 [-16, 32, 12, 0, -4],
 [6, -2, 3, -5, 2],
 [-48, -24, -54, 60, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 22, -31, -1, 31],
 [5, -10, 14, 1, -5],
 [-48, 16, -17, -55, 6],
 [-63, 14, -10, -63, 15],
 [12, -14, 25, 34, -18]]

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


[User]
Find the rank of the matrix:
[[12, 22, -27, 12, -5],
 [2, -27, 7, 5, 21],
 [-6, -29, 26, 19, -6],
 [-13, 11, 0, -46, -1],
 [-24, -61, 32, -24, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[33, 30, 21, -7, -6],
 [6, -6, 14, -14, -10],
 [18, -18, 42, -42, -30],
 [15, 30, -5, 15, 10],
 [6, -15, 22, -24, -17]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-18, -30, -40, 34, -33],
 [15, 25, 30, -30, 30],
 [6, 10, -4, -20, 24],
 [-18, -30, -24, 42, -45],
 [-3, -5, 10, 14, -18]]

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


[User]
What is the rank of the matrix:
[[-81, -31, -1, -26, -8],
 [38, 26, 14, 24, -4],
 [10, 2, -16, -1, 3],
 [27, 17, 11, 16, -2],
 [-30, -6, -6, -6, -6]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[33, -6, -20, 21, 29],
 [15, -9, 1, -13, 17],
 [20, -8, 0, -26, 23],
 [-3, 14, -13, -6, -12],
 [1, -3, 1, 17, 4]]?

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


[User]
Determine the rank of the following matrix:
[[-5, 5, 5, 4, -20],
 [-10, 10, -4, 0, -6],
 [15, 3, 14, -16, 5],
 [20, -25, 33, 20, -53],
 [20, -29, 25, 20, -37]]

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


[User]
Find the rank of the matrix:
[[7, 24, 1, -24, 38],
 [-5, -1, 21, -22, 20],
 [26, 28, -39, 1, 14],
 [-1, 10, 9, -22, 29],
 [-11, 8, 15, 2, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 2, 6, 0, 2],
 [25, 10, 30, 0, 10],
 [20, 8, 24, 0, 8],
 [5, 2, 6, 0, 2],
 [10, 4, 12, 0, 4]]

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


[User]
What is the rank of the matrix:
[[-13, -16, 25, -22, -38],
 [4, 52, 33, -18, -10],
 [9, 50, 9, 6, 24],
 [-7, -7, -16, 1, 7],
 [6, -6, -16, 4, 6]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 4, -4, -4, 8],
 [6, -24, -30, -24, -12],
 [-32, -2, 20, 18, -16],
 [-12, -17, -10, -7, -16],
 [18, 6, -6, -6, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-37, -31, -9, 39, 33],
 [25, 46, 18, 7, -32],
 [-24, -23, -17, 38, 63],
 [-29, -9, 1, 19, -5],
 [-25, 5, 11, 59, -3]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 40, 4, -32, -32],
 [56, -16, 5, 26, -7],
 [-12, 36, 3, -30, -27],
 [-24, 48, 3, -42, -33],
 [4, 4, 1, -2, -5]]?

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


[User]
Find the rank of the matrix:
[[-47, -6, 17, -26, -1],
 [-54, -1, 13, -16, -4],
 [-13, 30, -11, 15, -7],
 [-64, -42, 52, -79, -10],
 [41, -15, -2, 6, -2]]

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


[User]
Find the rank of the matrix:
[[6, -28, 12, 30, 33],
 [6, -13, 3, 12, 15],
 [12, -26, 6, 24, 30],
 [2, -16, 8, 18, 19],
 [-12, 11, 3, -6, -12]]

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


[User]
What is the rank of the matrix:
[[27, 36, 12, 33, -27],
 [-19, -16, -10, -17, 26],
 [-14, 4, -10, -2, 31],
 [-1, 8, -2, 5, 8],
 [-1, -4, 0, -3, -1]]?

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


[User]
What is the rank of the matrix:
[[-18, -16, 25, 25, -29],
 [18, 16, -25, -25, 29],
 [-18, -30, 21, 39, -33],
 [4, 30, 2, -32, 14],
 [18, -12, -33, 3, 21]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -30, 7, 1, 56],
 [-6, 32, -17, -5, -59],
 [-6, -34, 3, 9, 51],
 [-30, 20, -26, -11, -10],
 [14, -7, -8, 10, -44]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 10, -36, -7, -11],
 [-3, 1, 9, 5, 4],
 [15, 0, -42, -19, -17],
 [0, -30, -18, -36, -18],
 [0, -5, -3, -6, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-26, -26, -18, 2, -18],
 [-14, 4, -5, 5, 26],
 [40, 22, 23, -7, -8],
 [20, 24, 16, -4, 20],
 [62, 28, 35, -15, -26]]

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


[User]
Calculate the rank of matrix A where A =
[[64, -42, -15, 20, -50],
 [-17, -2, -26, -29, 14],
 [2, -11, -6, -9, 19],
 [-11, 83, 56, 24, 36],
 [0, 12, 11, -6, 46]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, 49, 20, -8, 31],
 [-8, -20, -25, 12, -18],
 [-14, 28, 20, -22, -4],
 [9, -39, 20, -10, -9],
 [-43, 11, -15, -16, -45]]

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


[User]
Find the rank of the matrix:
[[12, -64, 34, 6, 58],
 [-34, -26, -13, 36, 3],
 [-21, 16, -22, 39, -28],
 [30, -20, 29, -27, 33],
 [-33, 18, -30, 24, -32]]

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


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

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


[User]
Find the rank of the matrix:
[[-11, -21, 16, -11, -8],
 [20, 7, -10, -4, 48],
 [27, 10, -13, 7, 54],
 [-6, -62, 16, 26, -32],
 [23, -15, 0, 13, 46]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-7, -4, 25, 15, -10],
 [-8, 4, 8, 12, -8],
 [5, 10, -35, -15, 10],
 [15, -15, 3, -18, 12],
 [-6, 3, 6, 9, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[30, -8, -15, -16, 24],
 [-23, 0, -6, 12, -9],
 [19, -41, -45, -6, 60],
 [8, 9, 10, 1, 12],
 [14, 2, -20, -10, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-13, 26, 22, -26, -6],
 [-13, 30, -1, -17, 19],
 [21, -22, 17, -1, -18],
 [-4, -20, -62, 54, 8],
 [-16, 22, -42, 14, 34]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-24, -16, -19, 36, -7],
 [-26, -48, -78, 70, 8],
 [21, -2, -24, -5, 3],
 [-51, -33, -2, 10, 0],
 [-16, 11, 49, -23, 3]]

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


[User]
What is the rank of the matrix:
[[9, 11, -66, -25, -40],
 [-18, 18, -12, 1, -5],
 [-1, -9, 9, 1, 5],
 [1, 19, -33, -6, -20],
 [-21, 19, -27, -19, -7]]?

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


[User]
Determine the rank of the following matrix:
[[31, 14, 14, -32, -33],
 [31, 14, 14, -32, -33],
 [15, 12, -6, 6, -9],
 [-50, -31, -2, 17, 42],
 [35, 19, 8, -23, -33]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, 12, -33, -16, -32],
 [34, -24, -6, -32, -32],
 [-19, 27, -18, 14, 3],
 [-10, 33, -39, 2, -19],
 [28, -21, -3, -26, -25]]

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


[User]
Calculate the rank of matrix A where A =
[[-58, -28, -14, 60, 28],
 [-9, -28, -13, -2, -7],
 [13, 25, -79, -26, 13],
 [-39, -22, -55, 23, 22],
 [-24, -30, 0, 17, 1]]

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


[User]
What is the rank of the matrix:
[[16, 16, 4, 12, 8],
 [14, 9, -29, -12, -18],
 [-2, -1, 6, 3, 4],
 [22, 19, -14, 3, -4],
 [-2, -7, -33, -24, -26]]?

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


[User]
What is the rank of the matrix:
[[-6, -3, 2, 0, 1],
 [-36, -18, 12, 0, 6],
 [6, 3, -2, 0, -1],
 [-36, -18, 12, 0, 6],
 [24, 12, -8, 0, -4]]?

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


[User]
What is the rank of the matrix:
[[2, 6, 1, 18, -11],
 [-41, 12, -7, 9, 23],
 [-20, 0, -4, -12, 20],
 [9, -8, 1, -17, 3],
 [26, -2, 5, 10, -23]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, -19, -28, -7, -23],
 [51, -17, -8, 22, -25],
 [30, 4, 49, 25, 32],
 [-25, 21, -21, -4, -19],
 [-50, -10, -36, -37, -6]]

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


[User]
Determine the rank of the following matrix:
[[48, 38, 9, 33, -34],
 [-3, -5, -8, -2, 14],
 [6, 0, -4, 9, -3],
 [-15, 1, 12, -23, 5],
 [-6, -8, -12, -5, 23]]

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


[User]
What is the rank of the matrix:
[[15, 29, 5, 35, 5],
 [4, -8, -24, -28, -12],
 [-17, 3, 18, 25, -2],
 [-28, -8, -18, -5, -28],
 [-41, -19, 24, 13, 6]]?

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


[User]
What is the rank of the matrix:
[[-30, 4, -31, 15, 50],
 [10, 12, 7, 5, -30],
 [-25, 4, -26, 13, 41],
 [5, -24, 11, -20, 15],
 [-20, 24, -26, 26, 12]]?

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


[User]
What is the rank of the matrix:
[[-9, 18, -41, 38, -20],
 [-21, -35, 17, -31, 3],
 [19, -47, 22, -19, -28],
 [10, 60, -16, 36, 10],
 [3, -3, -24, 9, 2]]?

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


[User]
What is the rank of the matrix:
[[57, -25, 8, 48, -12],
 [-18, -50, -54, -54, -19],
 [-16, -24, -24, -22, 18],
 [39, -25, 0, 28, -7],
 [1, -4, 1, 2, 12]]?

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


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

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


[User]
Find the rank of the matrix:
[[-2, -2, -3, 13, 25],
 [-11, -11, -7, -3, 12],
 [-5, -12, 8, 21, 31],
 [-30, -33, -8, -14, 13],
 [19, 4, 39, 28, -8]]

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


[User]
Find the rank of the matrix:
[[-38, 32, -37, -19, 39],
 [-12, 4, 56, 36, 4],
 [-9, 9, -9, 37, -7],
 [-14, 18, 27, 21, -21],
 [-50, 44, -29, -20, 40]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 28, 16, -7, 35],
 [22, 3, 5, 22, 5],
 [26, -20, 19, 34, -51],
 [-7, 8, 26, -36, 42],
 [-16, 7, 13, -27, 14]]

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


[User]
Determine the rank of the following matrix:
[[-9, 27, 27, 22, 34],
 [39, -6, -6, -9, 13],
 [-36, 9, 9, 11, -7],
 [39, -15, -15, -16, 0],
 [-15, 21, 21, 18, 22]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 5, 10, 23, 11],
 [17, -5, 8, -3, -46],
 [-42, -3, -6, 36, 30],
 [26, 5, 34, 10, -47],
 [-13, -1, -24, -15, 41]]

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


[User]
Determine the rank of the following matrix:
[[10, 6, 7, 0, 6],
 [40, 16, 32, -20, 6],
 [42, 30, 27, 12, 36],
 [-18, 2, -19, 32, 18],
 [28, 4, 26, -32, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -24, 28, -1, 18],
 [-46, 11, -11, -10, -13],
 [-20, -21, -15, -36, -33],
 [36, 48, 16, 62, 60],
 [54, 42, 0, 40, 60]]

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


[User]
What is the rank of the matrix:
[[-8, 24, -20, -4, 0],
 [-2, 6, -5, -1, 0],
 [2, 6, 7, 23, 0],
 [-10, 42, -23, 17, 0],
 [12, -48, 28, -16, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-30, 3, -17, 12, 23],
 [-1, 30, -11, 5, 17],
 [-10, -60, -22, 34, 10],
 [-35, 12, -3, 3, 26],
 [-34, -72, -22, 34, 15]]

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


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

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


[User]
What is the rank of the matrix:
[[-2, 6, -10, 40, 6],
 [8, -9, -10, 5, 6],
 [13, -12, -25, 37, 15],
 [-22, 27, 20, 11, -12],
 [17, -21, -15, -10, 9]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, -8, 20, 6, -48],
 [-6, 1, -1, -6, -6],
 [-12, 8, -20, -6, 48],
 [60, -14, 22, 56, 20],
 [30, -6, 8, 29, 20]]

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


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

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


[User]
Find the rank of the matrix:
[[11, 3, 43, 9, 20],
 [-41, -30, -43, 31, 18],
 [-10, 24, 22, -5, -15],
 [21, -15, -30, -5, -15],
 [23, -9, -23, -8, -19]]

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


[User]
What is the rank of the matrix:
[[-10, 50, -67, 18, 3],
 [-1, 2, 53, 6, 12],
 [18, -20, -2, 15, 9],
 [3, 24, 9, 45, 27],
 [26, -54, 51, -12, 3]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-15, 44, 44, 6, 0],
 [3, -49, -16, -14, 20],
 [-27, 6, 63, -16, 27],
 [-14, 63, 44, 28, -36],
 [12, -21, -30, -4, 10]]

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


[User]
What is the rank of the matrix:
[[22, 18, 18, -2, 18],
 [37, 13, 13, -12, 51],
 [-15, -35, -35, -10, 15],
 [-28, -32, -32, -2, -12],
 [-38, -22, -22, 8, -42]]?

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


[User]
What is the rank of the matrix:
[[50, -46, 18, -18, 34],
 [67, -61, 7, -1, 45],
 [-11, 15, 13, -11, -33],
 [-42, 41, -26, -20, -14],
 [-9, 21, -33, -3, -33]]?

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


[User]
Find the rank of the matrix:
[[-4, -6, 12, -12, -7],
 [-5, -10, 21, -20, -12],
 [0, 0, 0, 0, 0],
 [30, -10, 42, -20, -19],
 [18, 12, -18, 24, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-67, -10, 34, 43, 10],
 [19, -29, 22, 29, 29],
 [-47, -12, 26, 23, 12],
 [36, -14, 8, 36, 14],
 [35, -36, 22, 25, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 4, -2, -5, -14],
 [-1, 19, 4, -2, 28],
 [0, -16, -8, 0, -30],
 [3, -9, 2, 1, -14],
 [-39, 21, -48, 0, 54]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, 6, 28, 30, -2],
 [0, -6, -27, -30, 6],
 [-30, 2, 4, 10, -22],
 [30, 2, 14, 10, 18],
 [24, 2, 13, 10, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, -21, 34, 30, -20],
 [4, 6, -14, -15, 13],
 [-21, 21, -24, -15, 3],
 [-1, 23, -42, -40, 30],
 [-9, -3, 12, 15, -15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 3, 21, -9, 10],
 [16, -5, -13, -7, -24],
 [8, -6, -24, 0, -26],
 [0, -1, -5, 1, -4],
 [-20, 5, 10, 10, 25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, 1, -20, 18, 21],
 [-11, 14, 19, 22, -5],
 [36, -18, -56, -4, 38],
 [11, -14, -19, -22, 5],
 [-7, 13, 13, 24, 0]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-18, -26, 21, 5, 20],
 [-4, -3, 3, 0, 0],
 [4, -2, 0, 2, 8],
 [-4, 2, 0, -2, -8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, -18, -4, -17, -31],
 [0, 0, 0, 0, 0],
 [4, -8, 0, -6, -10],
 [-11, 14, 4, 14, 26],
 [-13, 18, 4, 17, 31]]

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


[User]
Calculate the rank of matrix A where A =
[[35, -30, 9, 24, 27],
 [10, 8, 15, -18, 16],
 [-5, -14, -15, 24, -13],
 [35, -34, 6, 30, 25],
 [-20, 0, -18, 12, -24]]

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


[User]
Find the rank of the matrix:
[[-10, 13, 22, 30, 27],
 [6, -32, -26, -2, -12],
 [-4, -5, -14, -27, -18],
 [-33, -39, -21, 21, 15],
 [-25, -26, -23, -10, -5]]

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


[User]
What is the rank of the matrix:
[[-2, -16, 11, -15, -22],
 [-4, 3, -3, 0, 1],
 [8, -6, 6, 0, -2],
 [2, -33, 24, -27, -41],
 [-6, -20, 13, -21, -30]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-21, -35, -3, -39, 4],
 [37, 25, -51, -5, -8],
 [-23, -32, -4, -45, 6],
 [-2, -50, -29, -31, -6],
 [-25, 1, 29, 1, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[-1, 32, 14, 30, -35],
 [-3, 1, -15, -5, 9],
 [4, -3, 19, 5, -10],
 [0, 0, 0, 0, 0],
 [-1, -13, -13, -15, 19]]?

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


[User]
What is the rank of the matrix:
[[12, -20, -18, 36, -3],
 [7, -17, -23, 51, -5],
 [-11, -17, -3, 17, 24],
 [54, -6, 6, 12, -24],
 [18, -22, 10, 24, 24]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 0, -1, 6, 15],
 [10, -6, 2, 12, 4],
 [6, 14, -4, -40, -22],
 [-30, 12, 21, -24, -27],
 [43, -14, 42, 13, -22]]

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


[User]
Find the rank of the matrix:
[[14, -60, -52, 60, -3],
 [72, -42, 6, 48, 36],
 [20, -28, -12, 32, 25],
 [-9, 1, -17, 24, 3],
 [23, 25, 23, 8, 11]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 20, -1, 4, -48],
 [-9, -54, -13, 38, 42],
 [-45, -14, -6, 10, 18],
 [42, -2, 4, -4, -24],
 [53, -24, -8, 33, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, 52, 32, -10, 44],
 [40, -36, 59, 32, -18],
 [7, 6, 31, 25, -12],
 [-13, 15, 46, -39, 36],
 [25, -9, -6, 67, 0]]

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


[User]
What is the rank of the matrix:
[[15, -15, 25, -20, 35],
 [5, -9, 5, -16, 19],
 [-1, 3, 0, 6, -6],
 [-9, 9, -15, 12, -21],
 [3, -9, 0, -18, 18]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, -12, -3, -21, 9],
 [17, 4, 6, 12, -3],
 [14, 16, 6, 30, -12],
 [24, -24, 6, -30, 18],
 [-11, 8, -3, 9, -6]]

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


[User]
What is the rank of the matrix:
[[-8, 3, -6, 8, 7],
 [-26, 29, -3, 26, -24],
 [0, -14, -12, 0, 34],
 [38, -37, 9, -38, 22],
 [50, -45, 15, -50, 20]]?

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


[User]
Determine the rank of the following matrix:
[[46, 47, -61, -29, -20],
 [-40, -28, 16, 10, 30],
 [48, 53, -51, -14, -45],
 [-60, -40, 24, 18, 40],
 [-10, -25, 43, 47, -20]]

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


[User]
What is the rank of the matrix:
[[-8, -40, 4, -8, 34],
 [-28, -34, -18, 0, 1],
 [-25, -37, -11, 19, 11],
 [-7, -2, -11, -29, -11],
 [-33, -67, -11, 7, 33]]?

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


[User]
Determine the rank of the following matrix:
[[22, 3, 18, -12, 34],
 [-21, -23, -16, 30, -57],
 [-39, 14, -46, -6, 17],
 [9, -26, 6, 18, -7],
 [-26, -29, -22, 36, -62]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -2, 10, 2, -2],
 [-9, 11, -25, -1, 36],
 [-15, 2, -16, -4, -3],
 [22, 5, 11, 7, 35],
 [19, -3, 21, 5, 2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, -10, -12, -41, -27],
 [-22, -17, 31, -12, 38],
 [23, 31, -47, 48, -22],
 [22, 13, -18, 17, -7],
 [-7, -16, 27, -32, -4]]

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


[User]
What is the rank of the matrix:
[[16, 16, 14, -16, -12],
 [1, 2, -16, 5, -1],
 [2, 2, 17, -8, -2],
 [8, 18, 6, -14, -14],
 [-13, -23, -18, 22, 18]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[23, -29, 38, 12, -39],
 [6, -38, 26, 34, 32],
 [12, -6, 15, -3, -33],
 [37, -29, 32, 19, -41],
 [-10, 12, 9, -27, -41]]

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


[User]
Determine the rank of the following matrix:
[[-26, 46, 2, -32, 40],
 [17, -7, 19, -4, -4],
 [-14, -6, -26, 16, -8],
 [-12, 2, -16, 6, 0],
 [-9, 14, -1, -9, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-55, 90, -20, -4, -4],
 [-35, 26, -39, -12, -34],
 [31, -44, -7, -18, -21],
 [45, -39, 11, -18, -5],
 [13, -49, 6, 32, 10]]

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


[User]
Determine the rank of the following matrix:
[[32, -19, -12, 38, -48],
 [-12, 4, 2, -10, 16],
 [24, -8, -4, 20, -32],
 [-20, -10, 40, 1, 11],
 [-12, 19, 40, -33, 23]]

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


[User]
Determine the rank of the following matrix:
[[-13, -3, -2, -8, 7],
 [-7, 1, 20, 18, -39],
 [19, -1, -3, 9, -49],
 [-9, -1, 18, 16, -49],
 [-38, -8, -5, -23, 26]]

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


[User]
Determine the rank of the following matrix:
[[46, -1, 25, -16, 5],
 [-6, 6, 22, 49, 66],
 [-15, -13, -11, -15, -29],
 [35, -73, 34, -45, 31],
 [8, 46, -15, 4, -34]]

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


[User]
Determine the rank of the following matrix:
[[-31, 17, 3, -36, -12],
 [92, 36, -44, 59, 6],
 [-30, -39, 23, 0, -5],
 [-88, -32, 40, -53, -26],
 [52, 67, -47, 8, -5]]

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


[User]
Determine the rank of the following matrix:
[[12, -12, 3, -15, 3],
 [6, 6, 9, 9, 57],
 [-49, -25, 48, -4, -21],
 [-5, -45, -31, 33, -22],
 [2, 42, -29, 41, 31]]

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


[User]
What is the rank of the matrix:
[[26, 10, 20, 8, -22],
 [-40, -19, -6, -5, 44],
 [-48, -21, -9, 24, 45],
 [48, 45, 29, -15, 22],
 [43, 38, -18, -14, -22]]?

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


[User]
Find the rank of the matrix:
[[26, -12, -11, -13, 41],
 [-31, -45, -20, -2, 59],
 [43, -11, -53, -40, 72],
 [55, 31, 28, -1, -21],
 [-29, -1, -13, 1, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 0, 16, 19, 10],
 [-6, 2, 5, 5, 3],
 [-2, 14, 3, -3, 1],
 [22, -14, -19, -16, -11],
 [-12, -36, 6, 24, 6]]

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


[User]
Find the rank of the matrix:
[[28, 24, 24, 26, -52],
 [16, 18, 16, 14, -32],
 [-4, 18, 8, -8, -4],
 [-14, 18, 4, -19, 10],
 [-12, 39, 16, -21, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 45, -27, 0, 27],
 [19, 37, -25, -25, 30],
 [-41, -68, 55, 5, -25],
 [4, 22, -18, 20, -2],
 [-13, 41, -28, 49, -2]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, 0, 6, -20, -40],
 [-31, 36, -4, -38, -18],
 [-25, 37, -7, -30, -9],
 [18, 23, -15, 16, 51],
 [-17, 26, -6, -18, -8]]

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


[User]
Find the rank of the matrix:
[[50, 42, -38, -20, 11],
 [-21, -20, 10, 11, -2],
 [-6, 26, -13, 3, -16],
 [8, -20, 47, -29, -68],
 [-6, 4, 43, -19, -52]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 11, 11, 21, 0],
 [4, -20, -11, -12, 9],
 [0, 27, 21, 21, -18],
 [30, 20, 33, 4, -53],
 [-33, -9, -30, -3, 48]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-14, -8, 16, 24, 0],
 [-4, -10, 26, 30, -6],
 [-18, 0, -8, 0, 8],
 [-34, 14, -54, -42, 26]]

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


[User]
What is the rank of the matrix:
[[31, -23, -30, -31, 12],
 [-10, 2, -4, 24, 26],
 [20, -4, 4, -34, -38],
 [49, -21, -20, -49, -26],
 [-4, -16, -24, -17, 33]]?

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


[User]
Determine the rank of the following matrix:
[[4, -4, -2, -12, 4],
 [-17, 7, 9, 33, -9],
 [-5, -5, 3, -3, 3],
 [-6, -14, 4, -18, 10],
 [-7, 17, 3, 39, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-39, -36, -36, 45, 30],
 [-18, -22, 6, 24, -12],
 [30, 30, 18, -36, -12],
 [10, 5, 27, -9, -28],
 [38, 32, 48, -42, -44]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-35, -15, -47, 17, 36],
 [0, 11, -9, 12, -4],
 [-3, 22, -21, 19, -7],
 [15, 1, 24, -11, -13],
 [10, -4, 25, -32, -11]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [13, 20, -22, -7, 11],
 [4, -20, 24, -16, 8],
 [0, 34, -40, 18, -6],
 [-12, -25, 28, 3, -9]]?

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


[User]
Calculate the rank of matrix A where A =
[[-32, -24, -12, -18, 27],
 [-66, -42, -18, -48, 66],
 [21, 17, 1, 2, -6],
 [-21, 3, 43, -5, 1],
 [78, 46, -2, 42, -58]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, 36, -16, -45, 36],
 [-36, 24, 18, -6, 42],
 [-10, 33, -32, -53, 12],
 [10, 30, -22, -52, 6],
 [-3, 27, -6, -28, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -8, -15, -7, -4],
 [17, 6, 10, 22, 9],
 [-25, 9, -40, 0, -20],
 [14, -30, 10, 10, 24],
 [-14, 0, -5, -21, -10]]

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


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

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


[User]
Find the rank of the matrix:
[[14, 3, 18, 49, -1],
 [-32, -34, -44, -14, 34],
 [-24, -28, -38, 53, 45],
 [-1, -2, -4, 32, 11],
 [28, 26, 40, 4, -32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 8, 4, 2, 6],
 [54, 54, -7, -12, -19],
 [34, 34, 3, -2, 1],
 [4, 4, -10, -8, -18],
 [-24, -24, -4, 0, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-33, 9, 18, 18, 24],
 [-18, 2, -4, -12, 40],
 [-31, 7, 10, 6, 36],
 [22, -10, -31, -42, 21],
 [-29, 13, 40, 54, -26]]

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


[User]
Determine the rank of the following matrix:
[[-10, 6, -12, 6, 12],
 [1, -15, -18, 15, -3],
 [13, -44, -16, 21, -32],
 [-7, -6, -12, 9, 0],
 [32, -48, 0, 12, -42]]

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


[User]
Determine the rank of the following matrix:
[[-6, 9, -36, 51, -27],
 [6, 0, -18, 48, 0],
 [-6, 5, -12, 7, -15],
 [-12, 7, -6, -19, -21],
 [-16, 11, -18, -7, -33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 18, 5, -9, -7],
 [17, -34, -15, 23, 5],
 [20, -42, -20, 30, 4],
 [30, -12, 30, -30, 54],
 [-18, -3, -30, 33, -42]]

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


[User]
Determine the rank of the following matrix:
[[-46, 10, 42, -14, -26],
 [34, -22, -42, -14, 32],
 [-13, -17, -3, -37, 10],
 [-17, -13, 3, -33, 5],
 [5, -23, -21, -35, 22]]

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


[User]
Find the rank of the matrix:
[[6, 2, 40, -4, 50],
 [14, 18, 37, -4, 40],
 [25, 20, 29, 9, 45],
 [-40, -30, 31, -34, 10],
 [-16, -27, 48, -13, 60]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-17, -27, 18, 44, -33],
 [0, -10, 2, -7, 11],
 [-11, -6, -6, -19, 24],
 [23, 23, -10, -36, 22],
 [0, 9, 0, -15, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 40, 8, -11, 36],
 [-18, 42, 16, 26, 36],
 [15, 32, -32, 37, 12],
 [-40, 28, 55, 9, 27],
 [48, -11, -73, 9, -15]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -14, -41, 35, 1],
 [11, -13, -27, -3, -13],
 [6, -14, -2, -40, 36],
 [14, -26, 20, 10, -46],
 [-5, 1, -20, 36, -32]]

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


[User]
Calculate the rank of matrix A where A =
[[20, 10, 36, -2, -37],
 [-5, 10, 26, 18, -67],
 [-7, 6, 14, 14, -45],
 [-3, 6, 10, 43, -15],
 [21, 10, 30, 34, -7]]

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


[User]
Find the rank of the matrix:
[[25, -81, 44, -58, 15],
 [-9, 18, -61, 2, 13],
 [-17, 12, 11, 8, 1],
 [29, -72, 31, -62, -5],
 [-9, 1, -38, -24, -7]]

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


[User]
What is the rank of the matrix:
[[-15, -2, 8, -51, 24],
 [15, 6, 53, -29, 77],
 [-18, -6, -37, 3, -57],
 [-7, 1, 32, -58, 52],
 [3, 2, 6, -10, 34]]?

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


[User]
Find the rank of the matrix:
[[18, 0, -36, 0, -12],
 [-3, 0, 6, 0, 2],
 [3, 0, -6, 0, -2],
 [6, 0, -12, 0, -4],
 [9, 0, -18, 0, -6]]

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


[User]
What is the rank of the matrix:
[[0, 18, 14, 4, 10],
 [-8, -42, -30, -20, -18],
 [-26, 30, 32, -28, 34],
 [14, -12, -14, 16, -16],
 [-16, 6, 10, -20, 14]]?

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


[User]
What is the rank of the matrix:
[[6, 30, -6, 24, -6],
 [-2, -17, -1, -17, 3],
 [-4, -6, 10, 2, 2],
 [-7, 0, 22, 17, 2],
 [5, 18, -8, 11, -4]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 26, -28, 6, 22],
 [30, 0, 3, -30, 21],
 [-8, -13, 22, 4, -6],
 [36, -6, 30, -36, 42],
 [-22, 0, 15, 24, 3]]

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


[User]
What is the rank of the matrix:
[[-63, 46, 4, 58, 16],
 [55, -32, 3, -5, -13],
 [55, -51, 44, -7, 0],
 [0, -15, -45, -80, -25],
 [-21, 19, -38, -19, -10]]?

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


[User]
Find the rank of the matrix:
[[-30, -9, 0, -9, 15],
 [0, -14, -20, -14, -10],
 [24, 3, -6, 3, -15],
 [6, 6, 6, 6, 0],
 [-20, -6, 0, -6, 10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, -24, 30, -18, 6],
 [3, 12, -15, 9, -3],
 [2, 8, -10, 6, -2],
 [-5, -20, 25, -15, 5],
 [-1, -4, 5, -3, 1]]

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


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

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


[User]
What is the rank of the matrix:
[[74, -29, -23, -34, 76],
 [-10, 32, -10, 25, -11],
 [-18, -3, 8, 2, -13],
 [-20, 20, -5, 21, -11],
 [-20, 61, -23, 53, -31]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 0, 24, 24, 12],
 [-12, 6, 27, 30, -6],
 [-14, 4, -18, -16, -22],
 [-24, 10, 21, 26, -22],
 [-14, 4, -18, -16, -22]]

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


[User]
Determine the rank of the following matrix:
[[-12, 12, 12, 6, 6],
 [-10, -26, -11, 2, -16],
 [18, -6, -11, -8, -2],
 [-4, -20, -10, 0, -12],
 [-14, 2, 7, 6, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, 27, 19, -9, -12],
 [-27, -31, 16, 3, -13],
 [15, -36, -13, 8, 1],
 [-22, -17, 13, 6, 3],
 [16, 24, -11, -10, -5]]

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


[User]
Determine the rank of the following matrix:
[[-17, -2, -23, -16, -4],
 [18, -36, -17, 17, 14],
 [-11, 22, 1, -14, -36],
 [-3, -30, -42, -5, -10],
 [22, -17, 4, 19, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, -32, -25, 41, -29],
 [-3, -6, -3, 5, -7],
 [-6, 15, 20, -8, 28],
 [-12, -9, -21, 0, -29],
 [6, -9, 5, 22, 9]]

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


[User]
Determine the rank of the following matrix:
[[6, 18, -2, -38, 28],
 [15, -6, -5, -10, -32],
 [0, -6, 0, 10, -12],
 [15, 0, -5, -20, -20],
 [18, 18, -6, -54, 12]]

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


[User]
What is the rank of the matrix:
[[30, -8, -41, -26, -77],
 [-22, -52, 42, 34, 54],
 [-20, 29, -5, -27, 8],
 [30, 21, -11, 0, 5],
 [11, -6, -16, -19, -20]]?

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


[User]
Find the rank of the matrix:
[[33, -24, 6, -11, -5],
 [-3, 4, 6, 1, -1],
 [-24, 7, -42, 8, 12],
 [-12, 6, -12, 4, 4],
 [-33, 14, -42, 11, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[22, 34, -59, 3, 41],
 [8, -13, -11, 9, -5],
 [-26, 10, 18, 0, -20],
 [44, 38, -72, -4, 52],
 [-4, -22, 6, 6, 44]]

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


[User]
Find the rank of the matrix:
[[29, 44, 28, 11, 0],
 [31, 33, -1, 4, -57],
 [-5, -28, -30, 14, -10],
 [-56, -11, -28, 20, 14],
 [19, 2, 38, 1, 66]]

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


[User]
Determine the rank of the following matrix:
[[-16, 8, -32, -20, -12],
 [-12, -15, -29, -69, 21],
 [-13, 20, -24, 13, -60],
 [5, -4, 8, -5, -36],
 [28, -28, 52, -4, 24]]

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


[User]
Find the rank of the matrix:
[[3, 7, 63, -44, 52],
 [-51, 25, 3, -8, 12],
 [-27, -3, 47, -37, 7],
 [-45, -4, 39, -11, 9],
 [-60, -26, -16, 27, -69]]

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


[User]
Find the rank of the matrix:
[[-25, 20, 21, -21, -26],
 [9, 10, 19, -18, 13],
 [20, -26, 33, -22, 21],
 [-1, -22, -10, 13, -5],
 [24, -4, -58, 48, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 10, -15, 0, -20],
 [3, 12, 5, 12, -16],
 [-7, -29, -14, -30, 38],
 [-7, -23, 0, -18, 34],
 [10, 35, 5, 30, -50]]

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


[User]
Determine the rank of the following matrix:
[[-13, 0, -7, -3, 14],
 [36, -30, -41, 22, -1],
 [-57, 34, 47, -39, 14],
 [19, 2, -14, 35, -9],
 [6, -1, 19, -18, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 24, -10, 40, -40],
 [-40, 15, -39, 20, 41],
 [-45, -37, 12, -13, 14],
 [-56, -3, 5, 32, -1],
 [-3, -37, 15, -25, -38]]

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


[User]
What is the rank of the matrix:
[[-21, 8, -27, -32, -39],
 [-8, -34, 33, -31, -11],
 [-11, 1, 10, 49, 3],
 [-48, -32, 26, 4, -32],
 [-15, 28, -37, 4, -53]]?

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


[User]
What is the rank of the matrix:
[[6, 44, 50, 2, -20],
 [61, 27, -2, 32, 31],
 [-16, 5, 7, -35, 1],
 [37, 3, -23, 2, 37],
 [-50, -29, -7, -27, -21]]?

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


[User]
Find the rank of the matrix:
[[-11, 36, -36, -33, 13],
 [7, -41, 61, 6, -14],
 [16, 11, -12, -22, 40],
 [40, 22, -66, 30, 70],
 [-24, 9, 30, -52, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 36, -32, 0, 12],
 [6, 12, 22, -40, -42],
 [9, 0, -26, 36, 38],
 [30, 0, 2, 6, 0],
 [-18, -18, 7, 6, 5]]

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


[User]
Find the rank of the matrix:
[[1, -16, -9, 7, 21],
 [13, -46, -9, 10, 12],
 [-8, 44, 24, -22, -6],
 [3, -42, -33, 28, 20],
 [0, 18, 12, -9, -29]]

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


[User]
Find the rank of the matrix:
[[-19, -4, 10, 42, 9],
 [4, -11, 20, -12, -10],
 [-18, 7, 22, 58, 2],
 [-37, -11, 53, 52, -7],
 [39, 23, -57, -96, -7]]

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


[User]
Determine the rank of the following matrix:
[[-16, -4, -1, -12, 29],
 [1, -5, 31, 34, 5],
 [0, -14, 18, 17, 11],
 [-15, 47, -15, -16, -7],
 [-1, 5, -13, -14, -3]]

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


[User]
What is the rank of the matrix:
[[-18, 3, -3, -6, -12],
 [-19, 24, 2, -22, 9],
 [-29, -8, -8, 0, -33],
 [-26, -4, -6, -2, -34],
 [9, -19, -3, 16, -9]]?

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


[User]
What is the rank of the matrix:
[[-24, -8, -34, -4, -20],
 [-52, -18, -74, -3, -42],
 [-20, 24, -13, -33, -6],
 [-30, -5, -40, -9, -23],
 [16, -30, 5, -5, -12]]?

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


[User]
Find the rank of the matrix:
[[4, 7, 11, 6, 4],
 [-36, -49, 13, -12, 20],
 [-24, -30, 30, 0, 24],
 [24, 34, 2, 12, -8],
 [32, 46, 8, 18, -8]]

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


[User]
Find the rank of the matrix:
[[38, -18, -4, 11, -6],
 [-38, 8, -19, -6, -17],
 [-14, -18, -40, -8, -23],
 [-16, 4, -12, 3, -17],
 [14, 0, 7, 8, -1]]

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


[User]
Determine the rank of the following matrix:
[[-3, -31, -43, -19, -6],
 [-52, 8, -1, 25, -6],
 [12, 51, 32, 16, 19],
 [0, -15, -6, 14, 29],
 [-24, -1, -38, 14, 30]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -30, 3, -5, 12],
 [-8, -30, 3, -5, 12],
 [18, 18, 7, 3, -16],
 [-48, -36, -22, -6, 40],
 [22, -12, 18, -2, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 15, -12, 1, 19],
 [60, 40, 9, 33, 22],
 [42, 19, -21, -6, 28],
 [-54, -29, 7, -4, -25],
 [36, 26, 20, 22, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[26, 21, -21, 20, -15],
 [11, 11, 0, 13, 23],
 [29, -38, 21, 29, 35],
 [3, -37, 31, 2, 8],
 [22, 10, 10, 20, 16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, 18, 5, -2, 8],
 [8, -26, -29, -50, -24],
 [-24, -12, 6, 24, 0],
 [26, 28, 7, -5, 12],
 [-4, 18, 19, 32, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -24, 0, 30, 10],
 [21, 27, -9, -45, -21],
 [-54, 22, 14, -10, 6],
 [-66, 18, 18, 0, 12],
 [35, 5, -11, -20, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, -8, 19, 56, -3],
 [-30, 20, -25, -20, -15],
 [18, -18, 18, -6, 18],
 [24, -8, 16, 40, 0],
 [36, -32, 34, 0, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 55, 45, -5, 45],
 [-17, 43, 37, -3, 35],
 [-29, 0, 10, 5, -1],
 [16, -20, -20, 0, -16],
 [-10, 27, 23, -2, 22]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -28, 4, -8, 11],
 [-21, -33, 3, -12, 9],
 [-3, -15, -3, -12, -6],
 [41, 61, -7, 20, -20],
 [-32, -40, 8, -8, 21]]

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


[User]
What is the rank of the matrix:
[[4, -2, 4, -1, -4],
 [26, -28, -29, 16, 29],
 [48, -36, 4, 6, -4],
 [12, -12, -10, 6, 10],
 [20, -28, -46, 22, 46]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 4, -7, -11, -15],
 [22, 44, 39, -13, 15],
 [0, 11, 10, -10, -3],
 [6, -6, -15, -15, -25],
 [-20, -24, -7, 39, 33]]

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


[User]
What is the rank of the matrix:
[[12, 38, 62, 48, 0],
 [-5, -53, -44, -44, 26],
 [23, -3, 9, 8, 16],
 [22, -56, -65, -46, 2],
 [24, 4, -19, 0, -22]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 18, 16, -3, -30],
 [15, -15, 4, 9, 12],
 [25, -21, 12, 15, 12],
 [-10, 18, 8, -6, -24],
 [25, -18, 16, 15, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, -17, -20, 10, 12],
 [70, 34, 15, -17, -10],
 [24, 33, 31, 1, -2],
 [-58, -53, 23, -1, -32],
 [-25, -5, 5, -15, 2]]

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


[User]
Determine the rank of the following matrix:
[[24, 8, 46, 30, -6],
 [-21, -6, -37, -25, 5],
 [-48, 8, -14, -30, 6],
 [-24, -8, -46, -30, 6],
 [-18, -12, -54, -30, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -31, -1, 20, -28],
 [20, -26, 29, -5, -38],
 [10, 14, 10, -16, 8],
 [0, -36, 6, 18, -36],
 [5, -23, 10, 7, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, 21, -8, -31, -23],
 [-23, 6, 5, 13, 25],
 [-23, 6, 5, 13, 25],
 [14, 15, -7, -26, -22],
 [-22, 0, 6, 18, 26]]

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


[User]
What is the rank of the matrix:
[[21, 24, -12, 27, -48],
 [-37, 4, 40, 21, -20],
 [-61, -8, 60, 13, 0],
 [-6, -30, -6, -42, 66],
 [24, 12, -20, 8, -20]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -27, 28, 0, 36],
 [-31, 9, -39, 33, -45],
 [-8, -27, 0, 12, 0],
 [-33, -1, 5, 40, 17],
 [-14, -16, -26, 16, -34]]

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


[User]
Find the rank of the matrix:
[[4, -31, 12, -8, -41],
 [46, -12, 36, 38, -30],
 [-44, 14, -16, -28, 6],
 [-1, -65, -14, -38, -39],
 [-20, -36, -24, -40, -12]]

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


[User]
What is the rank of the matrix:
[[-9, -29, 0, 1, 17],
 [-2, 13, -7, -6, -18],
 [28, 18, 26, 20, 28],
 [35, 60, 19, 13, -7],
 [-13, -28, -5, -3, 9]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[48, 39, -4, -2, -11],
 [9, 7, 33, 19, -18],
 [26, 14, 16, -4, 14],
 [-36, -52, -6, -24, 32],
 [-16, -7, 54, 26, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -4, 6, 9, -13],
 [-26, -7, -52, 34, -52],
 [-10, -22, 3, 27, 16],
 [40, 40, -2, -10, -6],
 [8, -3, -7, 31, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[19, 39, 4, -25, -1],
 [22, 51, -2, -10, 2],
 [1, -15, -24, 27, 9],
 [-14, -13, 6, 18, -2],
 [-9, -51, -32, 35, 11]]

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


[User]
Determine the rank of the following matrix:
[[0, 5, 4, -1, 4],
 [-2, -6, 4, 10, 6],
 [2, 36, 20, -16, 18],
 [-6, 7, 32, 25, 38],
 [0, -5, -4, 1, -4]]

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