[User]
Calculate the rank of matrix A where A =
[[-30, -16, 28, -24, 10],
 [5, -2, -28, -10, 3],
 [5, 7, 17, 17, -6],
 [-10, -10, -14, -22, 8],
 [-5, -9, -27, -23, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -12, 20, 16, 8],
 [12, 12, -20, -16, -8],
 [12, 12, -20, -16, -8],
 [6, 6, -10, -8, -4],
 [-18, -18, 30, 24, 12]]

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


[User]
What is the rank of the matrix:
[[-16, -26, 3, 8, 23],
 [-15, 0, 40, 11, -6],
 [46, 27, -5, 26, -12],
 [37, 8, -5, 27, 7],
 [7, -18, 12, 48, 21]]?

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


[User]
Find the rank of the matrix:
[[15, 0, 0, -6, -24],
 [-1, -8, -20, -22, -12],
 [8, -6, -15, -20, -23],
 [14, 2, 5, 0, -19],
 [-3, -4, -10, -10, -2]]

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


[User]
Determine the rank of the following matrix:
[[24, -4, -32, -7, 1],
 [-12, 2, -12, -7, 3],
 [-12, 2, 44, 14, -4],
 [12, -2, 20, 10, -4],
 [-42, 7, 18, -2, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, 18, -21, -16, -22],
 [10, 36, -18, 8, -28],
 [3, 6, -5, -2, -6],
 [18, 12, -28, -34, -24],
 [10, 24, -17, -3, -22]]

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


[User]
Find the rank of the matrix:
[[24, -4, -5, -4, 26],
 [-33, -51, 30, 36, 23],
 [0, 44, -31, -27, -49],
 [18, 26, -21, -20, -12],
 [9, -13, 8, 6, 23]]

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


[User]
Find the rank of the matrix:
[[16, 6, -30, -26, 4],
 [0, 3, 5, 3, -4],
 [-16, -6, 30, 26, -4],
 [0, 9, 15, 9, -12],
 [4, -12, -30, -20, 19]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 34, -14, 45, -9],
 [57, 10, 30, 5, 11],
 [-40, -11, -15, -15, 2],
 [-11, -20, -12, -5, -25],
 [7, 20, -4, 25, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, -28, 35, 10, -15],
 [-50, -44, 31, 66, -47],
 [-11, -32, 43, 11, -15],
 [-28, -16, 14, 13, -20],
 [-25, -58, 62, 56, -37]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -13, -27, -13, -1],
 [22, 11, -2, 11, -7],
 [18, 23, 20, 23, -7],
 [-18, -1, 14, -1, 5],
 [14, 2, -9, 2, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -74, -4, -48, -30],
 [-14, -11, 4, 3, 0],
 [3, 13, 0, 34, 18],
 [-41, -36, 20, -3, -6],
 [-15, 36, 4, 19, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-21, -27, 10, 12, -45],
 [-47, -32, -21, 73, 29],
 [13, 3, 16, -32, -49],
 [20, -1, 7, -52, -8],
 [4, 0, 55, 16, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[27, 19, -51, 28, 10],
 [-40, -32, 46, -37, -18],
 [-39, -29, 42, -35, -23],
 [-17, -9, 11, -13, -20],
 [16, 12, 12, 9, 20]]

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


[User]
What is the rank of the matrix:
[[-27, 24, -15, 6, 39],
 [0, 13, -16, 1, 20],
 [-7, 15, -11, 11, 25],
 [20, -10, -4, -17, -19],
 [-27, 9, 9, 18, 18]]?

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


[User]
Calculate the rank of matrix A where A =
[[5, 35, -32, -11, 0],
 [28, 40, -9, 5, -28],
 [31, 15, -11, 34, -32],
 [40, 0, 1, 55, -44],
 [10, -10, 36, 6, -16]]

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


[User]
Find the rank of the matrix:
[[3, -24, 15, 15, 18],
 [-5, 35, -25, -10, -25],
 [-2, 10, -10, 8, -6],
 [-6, 33, -30, 15, -21],
 [-1, 2, -5, 13, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[32, 0, -4, -16, -32],
 [33, 6, -6, -24, -39],
 [6, 4, -2, -8, -10],
 [-23, 6, 1, 4, 17],
 [-17, -6, 4, 16, 23]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[33, 59, -1, -13, 69],
 [-28, -21, 15, -7, -19],
 [47, 6, -49, 25, 35],
 [-71, -30, 27, -23, -53],
 [-41, 11, 14, -22, -34]]

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


[User]
What is the rank of the matrix:
[[4, -30, -24, 10, 14],
 [8, 10, 36, 6, -56],
 [-6, 10, -6, -8, 21],
 [-6, 25, 12, -11, 3],
 [6, -45, -36, 15, 21]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, -9, -14, -12, 4],
 [-21, 15, 30, -3, -18],
 [-39, 24, 56, -11, -34],
 [46, -17, -22, -38, 0],
 [-33, 20, 10, 46, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, -9, -23, -14, -21],
 [33, -11, -19, -31, -4],
 [-3, 31, 41, 41, -4],
 [11, -13, 43, 8, 15],
 [25, -12, -30, -34, -11]]

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


[User]
Determine the rank of the following matrix:
[[23, 37, 3, 4, 25],
 [-15, -32, -1, -5, -21],
 [-7, 17, -7, 2, 10],
 [-32, -30, -28, -42, -16],
 [48, -9, 30, 9, -3]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-26, 24, -24, 22, 4],
 [-4, 38, 0, 10, -36],
 [-32, -50, 16, -30, -22],
 [17, -5, -34, 5, 41],
 [-7, 55, -26, 25, -21]]

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


[User]
Determine the rank of the following matrix:
[[12, -34, -4, -43, 59],
 [30, -38, -67, -32, 56],
 [24, 14, -2, -7, -9],
 [-24, 12, 50, 9, -17],
 [-30, 2, 49, 5, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, 9, -3, 24, -8],
 [-18, 20, 0, 6, 0],
 [-36, 38, 10, 38, -22],
 [-17, 21, -20, 28, 4],
 [43, -22, -21, -8, 18]]

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


[User]
Find the rank of the matrix:
[[-21, -15, 11, 29, 14],
 [10, 9, -17, -20, -11],
 [6, 6, -14, -14, -8],
 [4, 3, -3, -6, -3],
 [-19, -15, 19, 31, 16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[36, 0, -42, 0, -18],
 [8, 50, -3, 36, 43],
 [5, 41, 0, 30, 4],
 [-36, 24, 61, 38, 5],
 [-37, -40, 61, 1, -64]]

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


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

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


[User]
Find the rank of the matrix:
[[42, 48, 30, 0, 6],
 [23, 28, 25, 2, -7],
 [33, 36, 15, -2, 15],
 [21, 18, -15, -7, 39],
 [-29, -34, -25, -1, 1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[17, -9, 8, 14, -4],
 [-21, 1, -6, 7, -4],
 [-38, 14, -20, -6, 8],
 [35, -15, 22, 4, -12],
 [42, -6, 10, 4, 8]]

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


[User]
Determine the rank of the following matrix:
[[-4, -15, -16, -10, 1],
 [50, -5, -1, -5, 12],
 [22, -24, -32, -16, 46],
 [-10, -9, -37, 11, 0],
 [-10, 12, -25, 31, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-17, 1, -22, 29, -16],
 [-21, 3, -26, 27, -8],
 [-10, 5, -10, -5, 20],
 [23, -4, 28, -26, 4],
 [17, -4, 20, -14, -4]]

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


[User]
Find the rank of the matrix:
[[13, -32, -17, 32, -30],
 [20, -24, -4, 24, -24],
 [-2, -14, -14, 14, -12],
 [-35, 18, -19, -11, 16],
 [-13, 32, 17, -32, 30]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 18, -84, 8, 22],
 [31, -3, -38, 1, 26],
 [15, 18, -78, -3, 15],
 [-24, 12, -40, 24, 12],
 [-13, -12, -2, 41, 33]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, -3, 15, 3, -30],
 [6, -1, -10, -4, 20],
 [-6, 1, 10, 4, -20],
 [12, 3, 0, 2, 0],
 [-15, -2, 7, 1, -14]]

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


[User]
Determine the rank of the following matrix:
[[2, -95, 41, -11, -62],
 [5, -11, -55, -6, 28],
 [-12, -42, -30, 14, 0],
 [23, -13, -16, 42, -40],
 [-11, 6, -38, -3, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[33, -3, -7, 33, -33],
 [-23, -11, 17, -23, 39],
 [-11, -17, 19, -11, 33],
 [3, -15, 13, 3, 15],
 [1, -23, 21, 1, 27]]

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


[User]
Find the rank of the matrix:
[[7, 10, 21, 0, 13],
 [-7, -22, -35, 0, -23],
 [3, -12, -10, 0, -8],
 [-8, -2, -13, 0, -7],
 [6, 18, 29, 0, 19]]

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


[User]
Determine the rank of the following matrix:
[[-16, -8, 0, 12, 24],
 [-12, -6, 0, 9, 18],
 [-8, -4, 0, 6, 12],
 [0, 0, 0, 0, 0],
 [-12, -6, 0, 9, 18]]

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


[User]
What is the rank of the matrix:
[[-20, -10, 30, -18, 60],
 [-2, 56, -60, 12, -18],
 [-21, -40, -16, -8, 43],
 [28, 10, 1, -18, -18],
 [-10, 29, -7, 15, -6]]?

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


[User]
Determine the rank of the following matrix:
[[-25, -3, 33, -22, -24],
 [25, 21, -11, 24, -2],
 [15, 18, 24, -9, -3],
 [-10, -21, 1, -23, 22],
 [25, 27, -21, 42, -15]]

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


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

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


[User]
Find the rank of the matrix:
[[-18, -14, -22, 44, 12],
 [6, -30, 42, 16, -18],
 [10, 24, 25, -44, -28],
 [-17, 23, -4, 0, -25],
 [-3, -7, -2, 12, 3]]

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


[User]
What is the rank of the matrix:
[[-31, 19, -2, -17, 6],
 [37, -22, 2, 21, -6],
 [15, -18, 6, -1, -18],
 [-30, 36, -12, 2, 36],
 [-32, 23, -4, -14, 12]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 60, -42, -12, -30],
 [-10, 32, -18, 6, -32],
 [22, 0, -18, -18, 36],
 [-20, -44, 50, 22, -11],
 [12, 4, -6, -18, 17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-33, 33, 36, 24, 9],
 [-7, -8, 34, 31, -14],
 [-8, -8, 22, 43, -22],
 [-26, 44, -16, -4, 20],
 [6, 3, -16, -24, 11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 2, -12, 11, 8],
 [5, 2, 8, 1, 3],
 [9, 0, 12, -6, -3],
 [25, 10, 40, 5, 15],
 [1, -8, -4, -18, -19]]

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


[User]
Find the rank of the matrix:
[[1, -28, -22, -29, 10],
 [24, 7, 26, 37, -21],
 [-2, -22, 27, 18, -9],
 [13, 17, 9, 0, -14],
 [-21, -15, 26, 40, 5]]

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


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

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


[User]
Find the rank of the matrix:
[[29, 6, 6, -7, 1],
 [45, 14, -6, 18, -16],
 [7, 28, 4, 17, 1],
 [35, 17, 3, 2, 0],
 [31, 10, 10, -16, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[36, 6, -18, -36, 18],
 [-2, -12, 18, 18, 0],
 [6, -34, 48, 42, 6],
 [-31, 24, -27, -9, -18],
 [-3, -18, 27, 27, 0]]

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


[User]
What is the rank of the matrix:
[[10, 2, 14, -10, -8],
 [-15, -3, -35, 22, 12],
 [-20, -4, -36, 24, 16],
 [-25, -5, -25, 20, 20],
 [-30, -6, -46, 32, 24]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 3, 18, 0, 18],
 [12, -6, -36, 0, -36],
 [12, -6, -36, 0, -36],
 [-10, 5, 30, 0, 30],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[20, -3, 10, -9, -3],
 [-10, 9, -14, -9, -9],
 [31, -26, -2, 6, 38],
 [5, 14, -74, -54, -4],
 [-40, 25, 16, 9, -38]]

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


[User]
Find the rank of the matrix:
[[-7, 15, 15, 8, -27],
 [-5, 12, 15, 10, -18],
 [-3, 12, 25, 22, -6],
 [0, 0, 0, 0, 0],
 [-10, 18, 10, 0, -42]]

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


[User]
Find the rank of the matrix:
[[-40, 6, -49, -4, 2],
 [-5, -7, -12, 29, 7],
 [-15, -11, -16, -3, 1],
 [-15, 32, -18, -22, -5],
 [5, -41, 4, 35, 9]]

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


[User]
Determine the rank of the following matrix:
[[15, 11, -22, 17, 5],
 [-18, -18, 24, -30, 6],
 [15, 13, -21, 21, 0],
 [9, 15, -9, 27, -18],
 [12, 6, -19, 8, 11]]

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


[User]
What is the rank of the matrix:
[[-13, -12, 1, -15, -12],
 [-25, 0, -5, 30, 30],
 [6, -16, 6, -48, -44],
 [33, 12, 3, -9, -12],
 [38, 12, 4, -15, -18]]?

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


[User]
Find the rank of the matrix:
[[-14, -5, 4, -21, 21],
 [-14, 36, 82, -28, 24],
 [-19, 24, 45, -20, -2],
 [11, 0, -9, 16, -14],
 [13, -33, -63, 17, -1]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[46, 0, 32, 18, -30],
 [19, 41, -7, 10, 6],
 [12, 36, 12, -4, 36],
 [31, -13, 11, 20, -48],
 [-35, 8, -58, 2, -12]]

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


[User]
Determine the rank of the following matrix:
[[18, 34, 13, -33, 14],
 [-30, -38, -17, 27, 0],
 [-16, 4, -37, -6, -13],
 [-33, -24, -27, 9, 6],
 [-5, -32, 12, 33, -5]]

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


[User]
Find the rank of the matrix:
[[26, 55, 25, -64, -31],
 [23, 14, -11, -43, -3],
 [-10, 3, 33, 12, 41],
 [-23, -49, -24, 57, 24],
 [3, -40, -55, 13, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 0, 27, 46, 59],
 [-4, 4, 19, 38, 47],
 [23, 11, -5, -28, -33],
 [12, 4, 25, 34, 45],
 [1, 2, 15, 26, 33]]

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


[User]
What is the rank of the matrix:
[[8, -49, -3, -21, -9],
 [33, -22, 4, -13, 0],
 [-15, 10, 26, 25, -6],
 [41, -28, -6, -27, 2],
 [12, -8, -1, -14, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-22, -44, -24, 6, -30],
 [13, 19, 30, -5, 23],
 [21, 47, 6, -21, 45],
 [-3, -10, 62, 16, 10],
 [53, 51, 58, -7, 11]]

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


[User]
Determine the rank of the following matrix:
[[14, -6, 15, -7, 13],
 [12, -4, 13, -3, 23],
 [32, -11, 26, 14, 20],
 [13, 22, -6, -27, -13],
 [-23, 19, -12, -73, 19]]

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


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

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[User]
Calculate the rank of matrix A where A =
[[15, 0, 65, 25, -60],
 [26, -12, -2, -54, 18],
 [-3, 30, 13, -7, -40],
 [-33, 9, -6, 66, -9],
 [34, -24, 20, -42, 9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 12, 24, -12, -4],
 [-30, 55, -25, -30, 5],
 [28, 19, -43, 18, 25],
 [2, 6, -6, 1, 4],
 [0, 42, 30, 12, 30]]

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


[User]
Find the rank of the matrix:
[[0, 20, -30, -30, -5],
 [0, -16, 24, 24, 4],
 [0, -4, 6, 6, 1],
 [0, 20, -30, -30, -5],
 [0, 24, -36, -36, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[-4, 16, -2, 26, 18],
 [-6, 28, -6, 46, 34],
 [9, 2, -24, 8, 26],
 [5, -14, -2, -22, -12],
 [16, -8, -34, -6, 26]]

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


[User]
Determine the rank of the following matrix:
[[3, -18, 12, 18, 6],
 [0, 0, 0, 0, 0],
 [-6, 36, -24, -36, -12],
 [-5, 30, -20, -30, -10],
 [-2, 12, -8, -12, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -4, 21, 6, 11],
 [24, -38, 6, -6, 10],
 [-24, 8, 44, 16, 20],
 [12, -7, -17, -7, -7],
 [-36, 42, 16, 14, 0]]

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[User]
What is the rank of the matrix:
[[18, 6, -33, 13, -6],
 [20, -27, -46, -31, 19],
 [-21, -8, -1, -16, -42],
 [-22, 23, 17, 25, -47],
 [-3, -60, -42, -82, 18]]?

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[User]
Find the rank of the matrix:
[[-30, 36, 24, 30, -24],
 [-36, 36, 32, 40, -32],
 [-20, 24, 16, 20, -16],
 [12, -18, -8, -10, 8],
 [-12, 9, 12, 15, -12]]

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[User]
Find the rank of the matrix:
[[3, 0, -4, -3, -1],
 [-9, -2, 6, 10, -3],
 [-3, -14, -38, 10, -41],
 [-9, 4, 24, 7, 15],
 [-6, -2, 2, 7, -4]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, -6, 3, 3, 3],
 [-32, 54, -18, 24, -30],
 [-40, 61, -23, 12, -33],
 [-40, 61, -23, 12, -33],
 [-32, 54, -18, 24, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -12, 24, 14, 14],
 [-36, -36, 20, 29, 3],
 [-15, 18, -32, -20, -18],
 [-31, -30, 16, 24, 2],
 [24, 36, -28, -31, -9]]

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


[User]
Determine the rank of the following matrix:
[[-1, 18, -7, -18, -15],
 [-4, 0, -4, -12, -6],
 [7, 6, 5, 16, 6],
 [-11, 6, -13, -38, -21],
 [3, 30, -7, -16, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, 16, -1, -19, -36],
 [-12, 18, 52, -30, -16],
 [-27, 36, 61, -8, -9],
 [26, -14, -2, 35, 43],
 [-28, 22, -12, 24, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-7, 33, 8, 26, -34],
 [-23, 5, 1, -3, -3],
 [31, -58, -31, -21, -15],
 [-30, -18, -15, -12, -12],
 [-18, 8, -4, 8, -28]]

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

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[User]
Determine the rank of the following matrix:
[[-4, -14, 14, -16, 12],
 [25, 13, 27, -54, -41],
 [-11, -5, 3, -3, -11],
 [-27, -10, -10, 32, 1],
 [0, 4, -30, 43, 38]]

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[User]
Calculate the rank of matrix A where A =
[[-12, 35, -16, 16, 9],
 [-18, 32, -22, 20, 12],
 [11, 31, -1, 21, -3],
 [26, 4, 2, 42, -12],
 [-6, 44, -4, -3, 6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-19, -31, -9, 33, 25],
 [-5, 19, -1, -11, -19],
 [-32, -65, -3, 60, 60],
 [52, 70, 48, -80, -40],
 [3, 15, -51, -1, -41]]

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[User]
Determine the rank of the following matrix:
[[-40, 34, -16, 18, 44],
 [-46, 76, -34, 18, 80],
 [6, -28, 40, 28, -16],
 [28, 2, 20, 6, -4],
 [42, -18, -3, -33, -36]]

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[User]
What is the rank of the matrix:
[[10, 4, -32, 49, -48],
 [-8, -8, -12, 2, -38],
 [-8, 34, -33, 54, -32],
 [21, -14, 0, -4, 2],
 [7, -8, -9, 37, -20]]?

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[User]
Calculate the rank of matrix A where A =
[[12, -24, -6, -36, -6],
 [9, 37, 28, 33, 23],
 [30, 6, 24, -18, 18],
 [8, 6, 9, 0, 7],
 [3, 5, 5, 3, 4]]

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

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

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[User]
Calculate the rank of matrix A where A =
[[40, 11, -1, 0, -8],
 [-26, -35, -8, -9, -20],
 [10, 33, -5, -4, 22],
 [9, -67, -12, -15, -67],
 [-50, -32, 2, -1, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[25, -5, -56, -49, 28],
 [-11, -14, 61, 89, 3],
 [-21, -28, 43, 57, -21],
 [-47, 13, 70, 35, -42],
 [-7, 13, -30, -65, -10]]

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


[User]
Find the rank of the matrix:
[[-3, -19, -13, -26, 19],
 [-9, -5, -7, 1, -34],
 [-12, -6, 18, -39, -9],
 [0, 27, 29, 22, -30],
 [7, 8, -8, 30, -3]]

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


[User]
What is the rank of the matrix:
[[21, 10, 0, -40, 23],
 [19, 18, -11, -2, 5],
 [-26, -20, 10, 12, -14],
 [29, 15, -5, -4, 24],
 [1, -19, 18, 2, 26]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[22, 24, 10, 4, -19],
 [38, 26, 25, -7, -22],
 [-4, -18, 5, -13, 13],
 [22, -6, 25, -23, 2],
 [2, -6, 5, -7, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -7, -9, 15, -12],
 [-19, 0, -38, 13, -11],
 [-38, -20, -4, 56, -32],
 [22, 2, -2, -18, 13],
 [-56, 6, -40, 17, -13]]

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


[User]
What is the rank of the matrix:
[[21, 21, -25, 11, -14],
 [5, 23, -35, 20, 28],
 [25, 5, -7, 27, -6],
 [16, -5, 22, 18, -9],
 [12, 10, -8, 18, 6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, -14, -6, 8, 7],
 [-17, 13, 9, -4, 4],
 [-50, 40, 24, -16, 1],
 [-2, -2, 6, 8, 22],
 [28, -22, -14, 8, -3]]

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[User]
Calculate the rank of matrix A where A =
[[0, -22, 16, -9, -9],
 [-16, 21, -2, -2, 17],
 [27, 31, -10, 33, 24],
 [32, 12, -8, 28, 8],
 [-27, -8, 16, -22, 2]]

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


[User]
Determine the rank of the following matrix:
[[33, -21, -46, -5, 34],
 [-13, 12, 10, 3, -3],
 [20, -30, 30, -10, -30],
 [-45, 51, 24, -9, -36],
 [-31, 44, -20, 1, 9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 14, 22, -8, 23],
 [14, 24, 28, 10, 21],
 [-35, -12, -22, 5, -9],
 [38, -20, -12, -20, -24],
 [-6, -10, 0, -29, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-48, 67, 40, 30, 66],
 [86, -43, -9, -60, -25],
 [-14, 22, 10, 8, 18],
 [14, -36, -16, -3, -35],
 [60, -27, -8, -44, -16]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-24, 16, -12, -4, 16],
 [-12, 8, -6, -2, 8],
 [-36, 24, -18, -6, 24],
 [-24, 16, -12, -4, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, 2, -19, -11, -16],
 [28, -20, -2, 14, -8],
 [-6, 0, 24, 12, 21],
 [-8, 4, 10, 2, 10],
 [-22, 16, 0, -12, 5]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[6, -9, -15, 30, 0],
 [-28, 2, -30, 0, 0],
 [2, 5, 15, -18, 0],
 [-10, 15, 25, -50, 0],
 [2, 5, 15, -18, 0]]

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[User]
Calculate the rank of matrix A where A =
[[21, -2, 12, 13, -10],
 [-72, -24, 40, -18, 34],
 [12, 30, -48, -3, 3],
 [-7, -21, -2, -19, -14],
 [-37, -26, -12, -39, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[33, 1, -24, -40, 22],
 [3, 22, -39, -16, -5],
 [25, 31, -66, -30, -9],
 [30, 35, -97, -48, -29],
 [26, -12, -14, -18, -13]]

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


[User]
Find the rank of the matrix:
[[13, 12, -13, 0, 21],
 [10, -2, -15, -14, -12],
 [-14, -23, 15, -15, -43],
 [5, 9, -2, 5, 20],
 [1, 13, 0, 17, 28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -2, -19, 2, -8],
 [-18, 17, 4, 1, 23],
 [-36, 44, -2, 4, 56],
 [-12, -17, 31, -5, -13],
 [30, 5, -40, 5, -5]]

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


[User]
Find the rank of the matrix:
[[-30, -5, 20, 0, 25],
 [12, 2, -8, 0, -10],
 [0, 0, 0, 0, 0],
 [6, 1, -4, 0, -5],
 [24, 4, -16, 0, -20]]

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


[User]
Find the rank of the matrix:
[[18, -6, 6, 0, -36],
 [-9, 3, -3, 0, 18],
 [15, -5, 5, 0, -30],
 [-6, 2, -2, 0, 12],
 [18, -6, 6, 0, -36]]

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


[User]
Determine the rank of the following matrix:
[[44, -2, 60, -25, 6],
 [7, 4, 17, -21, -17],
 [-46, -9, -37, 1, -53],
 [36, -6, 44, -7, 18],
 [-22, -18, -28, 34, 4]]

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


[User]
Find the rank of the matrix:
[[-49, 59, 14, -45, 11],
 [24, -42, -12, 18, 6],
 [-8, 50, 16, -78, -34],
 [17, -10, -1, 9, -13],
 [3, -8, -3, -15, 3]]

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


[User]
What is the rank of the matrix:
[[3, -21, 31, -10, 25],
 [33, 8, -40, -34, -7],
 [80, 8, -50, -90, -4],
 [-35, -3, 40, 35, 21],
 [-74, 12, 48, 84, -10]]?

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


[User]
Find the rank of the matrix:
[[-14, 20, 18, 34, 2],
 [-44, 14, -34, 19, -5],
 [37, -40, 11, -32, 0],
 [20, 10, 30, 5, 5],
 [18, 36, 6, -18, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 6, 45, 35, 30],
 [0, -24, -20, -30, -10],
 [2, -22, 19, -3, 18],
 [-20, -26, -18, -31, -7],
 [-24, 48, 8, 38, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[83, 2, -16, -17, -3],
 [54, -10, -2, -6, -3],
 [-7, 17, -30, -6, -15],
 [-37, -27, 68, 28, 37],
 [2, 9, 21, -27, 25]]

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


[User]
Find the rank of the matrix:
[[-1, -22, 13, -3, -6],
 [41, -2, 53, 16, 31],
 [-15, -12, 21, 15, 24],
 [-18, -26, 35, 15, 30],
 [30, 8, 13, -23, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 12, -1, 6, 6],
 [32, -32, 44, 8, -56],
 [27, -6, 38, 12, -42],
 [36, -24, 50, 12, -60],
 [-11, -10, 24, 12, -26]]

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


[User]
Determine the rank of the following matrix:
[[12, 12, 25, 17, 3],
 [21, 12, 9, -19, 49],
 [18, 18, 35, 3, 37],
 [12, 15, 35, 19, 9],
 [-23, -9, 2, 6, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -8, -4, 8, 0],
 [-2, 2, 1, -2, 0],
 [-3, -18, -9, 24, -18],
 [-2, -12, -6, 16, -12],
 [-40, -2, -1, 14, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[-46, -3, 5, -28, 11],
 [-29, 28, -18, -23, -20],
 [21, 17, -34, 35, -61],
 [27, 30, -34, 25, -56],
 [31, 26, -35, 27, -15]]

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


[User]
Find the rank of the matrix:
[[4, 0, 0, 0, 6],
 [6, 0, 0, 0, 9],
 [12, 0, 0, 0, 18],
 [0, 0, 0, 0, 0],
 [10, 0, 0, 0, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 20, 0, 21, -29],
 [2, -23, 36, -33, -17],
 [-2, -19, 18, -27, -9],
 [6, 8, 6, 12, 2],
 [-3, 6, -18, 9, 9]]

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


[User]
What is the rank of the matrix:
[[-6, 0, 18, -8, 17],
 [-5, 19, 15, 25, -8],
 [12, -12, -36, -4, -20],
 [2, -16, -6, -24, 13],
 [-4, -10, 12, -22, 23]]?

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


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

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


[User]
What is the rank of the matrix:
[[14, 28, -42, 19, 29],
 [30, -54, 50, 5, 35],
 [-2, -2, -20, -7, -9],
 [-8, 20, -42, 2, -10],
 [-4, -44, 43, -1, -11]]?

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


[User]
Determine the rank of the following matrix:
[[10, 39, 13, 4, -23],
 [-24, 27, 14, -3, 16],
 [-32, -24, -25, 22, 15],
 [-26, -42, 13, 19, 31],
 [8, 27, -29, 55, -63]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, -36, 15, -21, 0],
 [-4, 24, 38, -44, 20],
 [-3, -18, -23, -1, -26],
 [14, 33, -26, -4, -22],
 [4, 46, -7, -47, -24]]

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


[User]
What is the rank of the matrix:
[[19, 10, 22, -8, 7],
 [9, 3, -6, -10, 5],
 [-22, -24, 16, -23, 1],
 [16, 26, 33, -11, -17],
 [16, 26, 36, -4, -16]]?

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


[User]
Determine the rank of the following matrix:
[[-6, -15, 9, -6, 3],
 [8, 20, -12, 8, -4],
 [-2, -5, 3, -2, 1],
 [-2, -5, 3, -2, 1],
 [10, 25, -15, 10, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 22, 8, -18, 22],
 [-2, 26, 24, -14, 42],
 [0, 0, 0, 0, 0],
 [2, 12, 8, -8, 16],
 [13, 2, -12, -8, -12]]

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


[User]
Determine the rank of the following matrix:
[[-33, 4, 9, 23, 19],
 [51, -8, -13, -37, -35],
 [-54, -18, -3, 32, -37],
 [45, 4, -23, -21, 5],
 [0, -24, 3, -15, -72]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 12, -19, 22, 38],
 [0, 6, -11, 8, 22],
 [0, -2, 7, 4, -14],
 [0, 12, -23, 14, 46],
 [0, 12, -13, 34, 26]]

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


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

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


[User]
Find the rank of the matrix:
[[7, 3, -12, 10, 4],
 [17, 16, 10, -2, -18],
 [17, 44, -46, 12, 52],
 [-20, -17, -2, -4, 14],
 [6, 14, 8, -8, -4]]

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


[User]
What is the rank of the matrix:
[[-54, -22, -32, 55, -15],
 [24, 14, 7, 0, 17],
 [7, -8, -15, 20, 32],
 [-5, 40, -2, -5, -28],
 [-24, -24, -5, 13, -10]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, 11, 8, -9, -12],
 [-26, 0, -20, 28, 30],
 [-30, 5, -10, 15, 15],
 [-13, 0, -10, 14, 15],
 [-66, 24, 12, -12, -18]]

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


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

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


[User]
What is the rank of the matrix:
[[16, 12, -42, -6, 34],
 [18, 30, -24, 24, 32],
 [14, -24, 21, -27, 18],
 [-3, -31, 21, -31, -8],
 [-15, 29, -3, 41, -24]]?

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


[User]
Find the rank of the matrix:
[[48, -33, 34, -20, -19],
 [-1, -20, -30, 64, 32],
 [22, -1, 17, 4, 11],
 [31, -45, 8, -10, -45],
 [26, -15, 7, 28, 21]]

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


[User]
Determine the rank of the following matrix:
[[15, 28, 16, 3, 8],
 [-25, -9, -23, 15, -12],
 [-5, -44, -14, -14, -7],
 [-45, -18, -20, 4, -9],
 [-35, 37, 17, 2, 11]]

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


[User]
Determine the rank of the following matrix:
[[-31, 0, -39, 3, 23],
 [2, -7, -12, 40, 6],
 [-3, 25, -12, 2, 17],
 [4, -4, 16, -24, -12],
 [7, 24, -2, 8, 11]]

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


[User]
Determine the rank of the following matrix:
[[25, 15, -20, -30, 0],
 [-5, -3, 4, 6, 0],
 [-5, -3, 4, 6, 0],
 [-5, -3, 4, 6, 0],
 [0, 0, 0, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[55, 5, 5, 35, 25],
 [19, 19, -11, 18, 10],
 [-8, 20, -16, 2, -2],
 [23, 9, -3, 17, 11],
 [-16, 2, -4, -9, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 30, -26, 2, 6],
 [-46, 18, -40, 60, -3],
 [9, 3, -6, 12, 8],
 [-30, -6, -8, -8, -23],
 [-10, 9, -4, 9, 3]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -22, 14, 6, 2],
 [24, -12, -3, 9, 24],
 [-4, -19, 18, 2, -11],
 [12, -15, 6, 6, 9],
 [4, 31, -28, -4, 15]]

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


[User]
What is the rank of the matrix:
[[14, 8, 0, -7, 5],
 [-24, -36, 36, -6, 30],
 [22, 20, -12, -5, -5],
 [13, 13, -9, -2, -5],
 [-30, -32, 24, 3, 15]]?

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


[User]
Calculate the rank of matrix A where A =
[[-7, 5, -16, -6, 7],
 [10, -33, -29, 22, 51],
 [6, -25, 42, 32, 25],
 [15, 14, -32, -34, -46],
 [21, -16, 16, 24, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, -3, 21, -30, -6],
 [-6, -6, -12, 36, 18],
 [34, 18, -36, 20, -14],
 [1, 3, 15, -34, -14],
 [-14, -10, -2, 28, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, 6, -20, -31, -14],
 [50, 32, 32, 22, 10],
 [72, 30, 0, -30, -30],
 [15, 0, -42, -45, -12],
 [-16, -5, -12, -7, 15]]

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


[User]
Find the rank of the matrix:
[[18, 17, -3, -4, 3],
 [4, 34, 42, 56, 30],
 [-13, 4, 8, 18, 7],
 [-42, -2, -24, 4, -3],
 [-47, -3, -7, 22, 4]]

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


[User]
Find the rank of the matrix:
[[-6, -22, -9, -46, -30],
 [0, 4, -6, 4, 0],
 [-2, 8, -26, 0, -10],
 [-5, 2, -38, -18, -25],
 [1, -6, 16, -2, 5]]

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


[User]
What is the rank of the matrix:
[[-1, 15, -59, -28, 36],
 [11, 35, -61, 9, -34],
 [-16, -18, 31, 29, -26],
 [-5, -21, 32, -23, 46],
 [-26, 2, -30, 10, 4]]?

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


[User]
Calculate the rank of matrix A where A =
[[8, 10, -16, 6, 8],
 [8, 20, 16, -12, 8],
 [-13, -30, -18, 15, -13],
 [-5, -10, -2, 3, -5],
 [-16, -25, 16, -3, -16]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 17, 8, -9, 1],
 [32, 2, -5, -41, 48],
 [-26, 2, 14, 10, -20],
 [-37, -31, 4, 40, -36],
 [-10, -12, 7, 1, -2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -24, -48, 24, 52],
 [28, 30, 36, -16, -44],
 [-14, 63, 6, -14, -42],
 [16, 3, 6, 2, -4],
 [13, 36, 24, -14, -39]]

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


[User]
Determine the rank of the following matrix:
[[14, -7, -2, -1, 32],
 [4, -14, -22, 32, 38],
 [-60, -20, 25, 43, -43],
 [-27, -19, -17, 60, 10],
 [20, 2, -22, 8, 30]]

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


[User]
Calculate the rank of matrix A where A =
[[34, 22, -11, 23, 16],
 [-24, -2, 34, -30, -20],
 [10, -45, -15, -5, 40],
 [-4, -14, 1, -7, 6],
 [-14, -30, 9, -21, 8]]

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


[User]
Determine the rank of the following matrix:
[[-3, 59, 13, 41, 37],
 [-7, 5, -5, 40, 67],
 [14, 22, 3, 13, 18],
 [2, -6, -7, -1, 2],
 [-4, 10, -21, 28, 39]]

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


[User]
Determine the rank of the following matrix:
[[2, -26, 22, -22, 3],
 [34, -19, 27, -21, 12],
 [-36, -9, 5, -13, -63],
 [-35, -19, 8, 33, -28],
 [27, 12, -13, 23, 74]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[57, -6, 19, 25, -36],
 [20, -18, 0, 30, -45],
 [29, 0, 18, 5, 14],
 [41, 16, 26, -5, -19],
 [43, 23, 23, -15, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 75, 39, -31, 18],
 [-36, -75, -36, 16, 18],
 [10, 42, 22, -47, 34],
 [-18, 42, 1, 5, 12],
 [6, 63, 40, -12, 20]]

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


[User]
Find the rank of the matrix:
[[-5, -4, -25, 13, -28],
 [6, -22, -22, -8, -14],
 [-7, -24, -23, -5, -12],
 [-1, 6, 11, -1, 10],
 [-9, 6, -25, 23, -34]]

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


[User]
Find the rank of the matrix:
[[9, 24, -39, 29, 34],
 [-8, 53, 24, -24, -7],
 [29, -31, -13, 1, 7],
 [12, 21, 30, -36, -15],
 [-7, -10, -61, 61, 40]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 14, 10, 11, -5],
 [-12, -2, 3, -12, 18],
 [-6, 40, -28, -49, -16],
 [-38, -32, -26, 23, 21],
 [-10, -12, 12, 14, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 6, 5, 2, 6],
 [0, -30, -25, -10, -30],
 [0, -36, -30, -12, -36],
 [0, 0, 0, 0, 0],
 [0, -24, -20, -8, -24]]

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


[User]
Determine the rank of the following matrix:
[[13, 22, -9, 15, -26],
 [2, -45, 20, -28, 34],
 [-24, 5, -45, 58, 16],
 [-6, 1, 22, -4, -8],
 [73, 12, -1, -53, -36]]

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


[User]
Determine the rank of the following matrix:
[[-10, 30, 25, -25, -10],
 [0, 0, 0, 0, 0],
 [-10, 30, 25, -25, -10],
 [-6, 18, 15, -15, -6],
 [-12, 36, 30, -30, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, 12, 12, -20, -8],
 [32, -15, -15, 25, 14],
 [48, -18, -18, 30, 12],
 [20, -12, -12, 20, 14],
 [-34, 12, 12, -20, -7]]

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


[User]
What is the rank of the matrix:
[[2, 42, 26, -4, 0],
 [35, 30, 67, 29, -52],
 [80, -9, -1, 69, 25],
 [-58, -2, 3, -65, -27],
 [22, 6, 42, 36, -44]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, -14, 48, 12, 6],
 [16, 2, -32, -20, -10],
 [8, 1, -16, -10, -5],
 [16, -11, 0, -18, -9],
 [2, -16, 36, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-30, 36, 9, -58, -36],
 [30, -30, 15, 22, 36],
 [5, -9, -21, -5, 38],
 [-24, -5, -28, 22, -28],
 [-37, 46, -40, -13, -38]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, 10, 2, 25, 1],
 [-41, 3, 27, 7, 15],
 [18, -22, -8, -26, -24],
 [3, 7, 5, 17, 3],
 [0, -16, 22, 4, -18]]

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


[User]
Find the rank of the matrix:
[[-11, -8, -48, -13, 7],
 [-17, 42, -8, -38, -24],
 [-3, -40, 8, -4, 7],
 [11, 18, 58, 8, -8],
 [15, -16, 7, 20, 41]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -18, 12, 14, 4],
 [49, 4, 9, 33, -12],
 [14, -26, 20, 20, 0],
 [-15, -37, 14, 0, 20],
 [-52, -5, -16, -39, 26]]

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


[User]
What is the rank of the matrix:
[[35, -8, 31, -15, 5],
 [-27, 0, -6, -20, 1],
 [24, -14, 22, 42, 10],
 [11, -10, 26, -40, 5],
 [11, -29, 18, 33, 9]]?

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


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

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


[User]
Find the rank of the matrix:
[[2, 0, -10, -6, -4],
 [-4, -1, 4, 6, -1],
 [-40, -15, -40, 30, -55],
 [28, 11, 36, -18, 43],
 [-4, 0, 20, 12, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -5, 8, 17, 0],
 [-8, -12, -30, -44, 19],
 [36, 24, -23, 6, -7],
 [-36, -16, -18, -24, 10],
 [48, 18, 8, 38, -1]]

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


[User]
Determine the rank of the following matrix:
[[19, -26, 2, 19, 12],
 [1, 1, -19, 1, 18],
 [41, -61, -1, 3, -4],
 [9, -43, -12, 26, -15],
 [-27, 17, -15, 23, 0]]

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


[User]
What is the rank of the matrix:
[[-37, 9, 31, 0, -35],
 [32, -31, -50, 19, 8],
 [-11, -5, 45, -21, -2],
 [4, 34, -12, -1, 37],
 [65, 12, -17, -30, 22]]?

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


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

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


[User]
What is the rank of the matrix:
[[38, 19, 11, -21, 55],
 [-40, 74, 0, -14, 30],
 [2, 1, 13, -1, 9],
 [-2, -47, -21, 11, -67],
 [-40, 18, 8, 6, -18]]?

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


[User]
Calculate the rank of matrix A where A =
[[19, -9, -9, -25, -29],
 [4, 6, 1, 5, 1],
 [33, 27, 0, 12, -12],
 [0, 30, 11, 39, 27],
 [-27, -3, 7, 15, 27]]

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


[User]
Determine the rank of the following matrix:
[[-10, -10, 26, -6, -15],
 [8, -10, 6, 0, -12],
 [12, -32, 8, -16, -14],
 [-16, 11, 26, 12, -33],
 [-40, 14, 31, -5, -3]]

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


[User]
Determine the rank of the following matrix:
[[48, 2, -4, 0, 6],
 [32, -27, -6, -40, 19],
 [16, -39, -6, -56, 23],
 [48, 2, -4, 0, 6],
 [-8, -6, 0, -8, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, -3, -7, -16, 16],
 [3, -3, 1, -2, 8],
 [-29, -2, -26, -12, -13],
 [27, -18, 6, 24, 3],
 [18, -56, -32, 26, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 24, -2, 2, -14],
 [14, -21, 18, -17, -57],
 [-9, 30, -22, 9, 41],
 [-2, -15, 12, 5, -3],
 [6, -2, 4, -8, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[38, 28, -2, 10, 44],
 [15, 30, -15, 5, 30],
 [10, 32, -19, 4, 28],
 [-8, -4, -1, -2, -8],
 [33, 30, -6, 9, 42]]

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


[User]
Calculate the rank of matrix A where A =
[[-50, -17, -11, -21, -20],
 [-38, -12, 2, -20, -18],
 [29, 4, 1, 16, 21],
 [-1, -1, -18, 8, 44],
 [23, -14, 21, 9, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[14, 10, 6, -15, -13],
 [-14, -18, -15, 27, 15],
 [2, 2, -29, 13, 9],
 [-1, 14, 39, -33, -11],
 [-2, -18, 11, 11, -5]]

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


[User]
Determine the rank of the following matrix:
[[-29, 11, -4, -17, 7],
 [2, -42, 33, -6, 30],
 [-30, -45, 42, -28, 48],
 [0, -30, 21, -4, 24],
 [48, -30, 30, 20, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 9, 41, 44, -24],
 [-24, -38, -1, -19, 48],
 [-16, -33, 7, 14, 16],
 [26, -15, -28, -8, 2],
 [15, -17, -7, -9, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[14, 0, -12, 16, 12],
 [13, 21, -41, 29, 47],
 [14, -14, 16, -12, -30],
 [-7, 3, 0, -2, 3],
 [-1, -3, 2, 4, 1]]

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


[User]
What is the rank of the matrix:
[[-20, 10, -17, -31, -8],
 [-19, 15, -20, -19, 10],
 [-8, 0, -4, -20, -16],
 [30, -30, 36, 18, -36],
 [-24, 20, -26, -22, 16]]?

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


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

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


[User]
Find the rank of the matrix:
[[-13, -4, 20, -30, 18],
 [3, -16, 1, -16, 6],
 [-1, 10, -3, 13, -6],
 [3, 56, -5, 60, -18],
 [-23, -34, -6, -29, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[6, -6, -18, 18, 18],
 [-10, 10, 30, -30, -30],
 [-4, 4, 12, -12, -12],
 [-6, 6, 18, -18, -18],
 [6, -6, -18, 18, 18]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -8, 23, -9, -13],
 [65, 32, -12, 74, 45],
 [41, 10, -11, 21, 58],
 [-3, -14, -21, 14, 0],
 [-18, 4, -42, -16, -12]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 34, -8, -28, 13],
 [-2, -35, -30, 40, -46],
 [-17, -23, -48, 10, -35],
 [30, 38, -6, 19, -24],
 [-9, -40, -52, 43, -58]]

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


[User]
What is the rank of the matrix:
[[6, 5, 2, -1, -3],
 [-6, -5, -2, 1, 3],
 [-30, -25, -10, 5, 15],
 [-12, -10, -4, 2, 6],
 [-18, -15, -6, 3, 9]]?

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


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

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


[User]
Find the rank of the matrix:
[[-6, -36, -24, 2, 2],
 [-3, -18, -12, -4, -4],
 [-2, -12, -8, -31, -31],
 [1, 6, 4, -27, -27],
 [-2, -12, -8, -16, -16]]

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


[User]
What is the rank of the matrix:
[[-64, -25, -55, -24, 16],
 [7, -20, 2, 18, 6],
 [-40, -3, -45, -57, 17],
 [-20, -25, -37, -52, 2],
 [30, -21, 27, 45, -15]]?

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


[User]
Find the rank of the matrix:
[[-8, -2, 6, -6, -8],
 [-4, -1, 3, -3, -4],
 [-12, -3, 9, -9, -12],
 [-12, -3, 9, -9, -12],
 [-4, -1, 3, -3, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 0, -5, 1, 9],
 [16, 8, 3, 1, -15],
 [4, 8, -2, 2, -6],
 [5, -2, 3, -1, -3],
 [-7, 22, -13, 7, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 23, -29, 17, 17],
 [-8, -17, 45, 7, -21],
 [18, 25, 25, -50, -16],
 [12, -23, 5, 43, 19],
 [20, -10, 34, 5, -1]]

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


[User]
Determine the rank of the following matrix:
[[5, 20, -15, 20, 25],
 [25, 40, -23, 36, 45],
 [2, 8, -6, 8, 10],
 [-17, -23, 12, -20, -25],
 [31, 49, -28, 44, 55]]

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


[User]
What is the rank of the matrix:
[[-1, -22, 27, -4, 10],
 [24, -21, -27, 6, -3],
 [38, -37, -9, -10, -11],
 [10, -38, 12, 4, 14],
 [-16, 8, 42, -16, 0]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[21, 50, -1, -8, -56],
 [-18, -36, 18, 24, 24],
 [-39, -20, 49, 62, -16],
 [21, 12, -33, -40, 14],
 [6, 28, 34, 32, -64]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -6, -5, 0, 4],
 [12, 6, 1, 6, -26],
 [24, 12, 18, -12, 36],
 [16, 8, 4, 4, -20],
 [-8, -4, 4, -11, 43]]

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


[User]
Determine the rank of the following matrix:
[[-28, -20, -24, -4, 0],
 [14, 10, 12, 2, 0],
 [-8, -8, -2, 2, -8],
 [-12, -12, -3, 3, -12],
 [-22, -10, -31, -11, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[18, 1, 24, -16, -9],
 [-3, -23, -27, -53, 30],
 [4, 19, 12, 16, -31],
 [16, 22, -4, -18, -17],
 [14, 15, 35, 9, -39]]

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


[User]
Determine the rank of the following matrix:
[[25, 5, -5, -10, 5],
 [-2, 8, -2, 20, 14],
 [-39, -19, 11, -10, -27],
 [9, 13, -5, 22, 21],
 [61, 29, -17, 14, 41]]

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


[User]
Find the rank of the matrix:
[[-6, -34, 8, -18, 6],
 [-12, -19, -40, 0, 14],
 [52, -2, 0, -52, 0],
 [42, 54, 12, -6, -15],
 [28, 31, 24, -7, -13]]

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


[User]
What is the rank of the matrix:
[[-21, 33, -21, -18, 27],
 [12, -26, 16, 10, -24],
 [-44, 14, -26, 34, 24],
 [19, -15, 7, 38, 3],
 [22, -36, 32, -34, -54]]?

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


[User]
Determine the rank of the following matrix:
[[5, -3, 22, 27, 9],
 [27, -2, 18, 5, 7],
 [-46, -2, -36, -18, -6],
 [-3, 38, 14, 35, -47],
 [57, -13, 32, -1, 25]]

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


[User]
Determine the rank of the following matrix:
[[-18, 2, -5, -14, 18],
 [-24, 16, -10, -32, 24],
 [-24, -20, -1, 4, 24],
 [-18, 10, -7, -22, 18],
 [-36, -16, -5, -8, 36]]

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


[User]
Find the rank of the matrix:
[[12, 35, -13, -23, -8],
 [-13, 35, 12, -2, -23],
 [-38, 4, 24, 26, -25],
 [-1, -13, -22, 25, -6],
 [8, 40, -2, -7, -17]]

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


[User]
What is the rank of the matrix:
[[-13, -14, 17, -6, -15],
 [13, 16, -3, 1, -20],
 [21, 30, -21, 9, 0],
 [-48, -63, 45, -18, 0],
 [1, -2, 3, -2, -5]]?

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


[User]
Determine the rank of the following matrix:
[[10, 4, -6, -12, 10],
 [6, 9, -2, -18, 7],
 [26, 17, -14, -42, 27],
 [15, -27, -17, 36, 10],
 [6, 9, -2, -18, 7]]

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


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

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


[User]
Find the rank of the matrix:
[[-26, -6, 18, -52, 26],
 [5, 6, -16, 2, 12],
 [-8, 21, 4, -17, 15],
 [28, 12, 36, -16, -4],
 [-32, -36, 8, -25, 2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 19, 19, 17, 10],
 [12, -33, 9, -7, 14],
 [0, 37, 31, 4, 36],
 [25, -30, 11, -1, 40],
 [6, 18, 68, 14, 64]]

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


[User]
Calculate the rank of matrix A where A =
[[22, 6, -12, -4, -2],
 [28, 4, -12, 0, -8],
 [-33, -9, 18, 6, 3],
 [16, 8, -12, -8, 4],
 [-14, -12, 15, 14, -11]]

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


[User]
What is the rank of the matrix:
[[18, 0, 4, 6, 10],
 [-2, 20, 16, -27, 18],
 [18, -30, 12, 54, -18],
 [-14, 28, -28, -54, 18],
 [-24, -20, 0, 24, -32]]?

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 11, -5, -22, -38],
 [3, -28, 25, 29, 28],
 [-1, -19, 20, 13, 2],
 [-1, -29, 30, 21, 6],
 [2, 23, -25, -14, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, -15, -33, 0, 30],
 [8, -6, -9, 7, 4],
 [-5, 15, 27, -2, -18],
 [16, -21, -54, 45, 61],
 [32, -8, -14, 46, 12]]

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


[User]
What is the rank of the matrix:
[[12, 36, -12, 24, 30],
 [-1, -18, 11, 18, -10],
 [2, -12, 10, 28, -4],
 [13, 42, -15, 22, 34],
 [10, 48, -22, -4, 34]]?

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


[User]
Calculate the rank of matrix A where A =
[[15, 5, -14, 10, 19],
 [-9, 1, 4, 0, -7],
 [-27, 3, 12, 0, -21],
 [48, -12, -14, -10, 30],
 [-18, -8, 19, -15, -25]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 17, -12, 22, -11],
 [30, 18, 1, 8, -8],
 [13, 33, 43, -30, -45],
 [37, 1, 2, -2, 9],
 [-17, -23, 2, -14, 15]]

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


[User]
Find the rank of the matrix:
[[17, 2, -11, 50, 3],
 [13, 22, 27, 6, -4],
 [-39, 7, -26, 6, 27],
 [0, -29, -37, 20, 2],
 [-17, 36, 5, 30, 23]]

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


[User]
What is the rank of the matrix:
[[25, 25, 30, 15, 0],
 [5, 5, 6, 3, 0],
 [-25, -25, -30, -15, 0],
 [20, 20, 24, 12, 0],
 [-30, -30, -36, -18, 0]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 9, 27, -59, -12],
 [72, -43, -22, 15, 60],
 [38, -39, -21, 11, 39],
 [0, -26, -11, 12, 17],
 [10, -20, -4, -42, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-60, -3, 12, -60, -55],
 [-21, -6, -18, 0, -1],
 [-2, -8, -17, -13, -1],
 [3, 2, 23, -7, -18],
 [14, 10, -2, -26, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, -14, -43, 42, 13],
 [42, 0, 48, -54, -6],
 [18, -37, 19, -40, 42],
 [35, 54, 50, -20, -68],
 [33, 27, 36, -39, -24]]

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


[User]
What is the rank of the matrix:
[[-37, 6, -8, 49, 1],
 [-16, -22, 6, 7, -27],
 [8, -28, 12, -26, -30],
 [-26, 0, -4, 32, -4],
 [-5, 24, -10, 20, 26]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[35, -11, 3, 13, -8],
 [15, 21, -11, 19, -16],
 [-20, -6, -36, 24, 10],
 [-21, 41, -17, 9, -12],
 [27, 37, 9, 7, -28]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-17, 11, 12, 9, -1],
 [-37, 15, 12, 13, -21],
 [14, -18, -24, -14, -18],
 [-3, 12, 18, 9, 21],
 [-37, 15, 12, 13, -21]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [-6, 18, 12, 24, 30],
 [5, -15, -10, -20, -25],
 [4, -12, -8, -16, -20],
 [2, -6, -4, -8, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -19, -1, 35, -23],
 [4, 4, 22, 4, -16],
 [3, -4, 1, 8, -5],
 [17, -2, 12, 10, -9],
 [25, 1, 40, 19, -31]]

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


[User]
Calculate the rank of matrix A where A =
[[-44, -31, -24, -20, -28],
 [39, 25, 33, -8, 15],
 [37, 28, 27, 0, 29],
 [-30, -21, 8, -70, -22],
 [-13, -13, -7, -4, -21]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 1, -2, -14, -14],
 [0, 2, -4, -28, -28],
 [-18, 4, 10, 34, 25],
 [-38, 11, 16, 36, 17],
 [28, -10, -8, 0, 14]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 5, 10, -9, 13],
 [12, 30, 35, 17, 11],
 [11, 26, 27, 22, 3],
 [-3, -8, -36, 3, 0],
 [-8, -16, -7, -29, 11]]

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


[User]
Find the rank of the matrix:
[[-17, -4, -4, -14, 8],
 [-60, -65, -32, -26, -21],
 [-20, -11, -24, 64, -37],
 [-24, -42, -46, 16, -36],
 [18, 9, -31, 58, -30]]

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


[User]
What is the rank of the matrix:
[[-10, 12, -22, 30, 14],
 [-22, 36, -18, 50, 18],
 [1, 6, 25, -15, -11],
 [11, -18, 9, -25, -9],
 [22, -36, 18, -50, -18]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -2, 5, -1, -3],
 [36, -12, 30, -6, -18],
 [-30, 10, -25, 5, 15],
 [18, -6, 15, -3, -9],
 [-24, 8, -20, 4, 12]]

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


[User]
Find the rank of the matrix:
[[12, -24, 0, -24, -36],
 [-18, 6, 30, -14, 24],
 [-30, 24, 36, 0, 54],
 [12, -6, -18, 6, -18],
 [10, -14, -6, -10, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 22, 59, 34, -2],
 [-12, -25, -31, -30, -31],
 [-1, -15, -30, 13, 9],
 [-22, 23, 10, 33, 14],
 [5, 11, 27, -9, -5]]

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


[User]
Find the rank of the matrix:
[[-10, 10, 0, -2, 4],
 [-20, 20, 0, -4, 8],
 [-5, 5, 0, -1, 2],
 [-20, 20, 0, -4, 8],
 [20, -20, 0, 4, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 4, -6, -2, 3],
 [36, 24, -36, -12, 18],
 [-30, -20, 30, 10, -15],
 [0, 0, 0, 0, 0],
 [-6, -4, 6, 2, -3]]

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


[User]
Determine the rank of the following matrix:
[[-23, 10, -12, 21, 21],
 [-23, 10, -12, 21, 21],
 [3, -30, -18, 9, 39],
 [9, -24, -9, 0, 21],
 [9, -24, -9, 0, 21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, -6, 30, 51, -6],
 [12, -11, 29, 48, -10],
 [4, -22, 2, 0, -20],
 [28, 20, -18, -35, 26],
 [39, 10, -6, -17, 18]]

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


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

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


[User]
What is the rank of the matrix:
[[-12, 21, -16, 13, 8],
 [-31, 13, -34, 40, 28],
 [38, 16, 36, -54, -40],
 [-2, 11, -4, 1, 0],
 [-5, 5, -6, 6, 4]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[38, -2, -50, -30, -18],
 [-15, -42, 54, -6, -9],
 [-46, -2, 56, 10, -16],
 [-27, 5, 24, -3, -64],
 [-17, -11, 38, 27, 30]]

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


[User]
What is the rank of the matrix:
[[-6, 8, -25, -32, 25],
 [-2, 10, -25, -2, -1],
 [8, -22, 10, 26, -40],
 [14, -42, 62, 13, -21],
 [2, 2, -24, -3, -7]]?

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


[User]
Calculate the rank of matrix A where A =
[[4, -32, 9, 15, -6],
 [-33, -18, 22, -7, 9],
 [3, -30, 6, -36, 39],
 [40, 0, -25, 11, -22],
 [25, -34, -1, 21, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -5, 12, -2, 1],
 [-17, -17, 2, -23, 21],
 [5, -14, 38, -9, 4],
 [29, 22, 13, 50, -51],
 [-17, -20, 6, -24, 28]]

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


[User]
Find the rank of the matrix:
[[-19, 0, 20, 5, 10],
 [7, 0, 10, -25, -6],
 [25, 0, -50, 25, -10],
 [-4, 0, 20, -20, 0],
 [-10, 0, 35, -30, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -2, -17, -24, -12],
 [8, 18, -35, -13, 18],
 [-6, -28, 47, 23, -18],
 [14, -30, 34, -24, -60],
 [19, 2, -23, -8, 12]]

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


[User]
Find the rank of the matrix:
[[14, -56, 2, -54, 20],
 [-6, 33, 3, 33, -9],
 [-9, 18, -9, 15, -12],
 [-3, 27, 6, 28, -5],
 [-22, 16, -34, 6, -28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -11, 4, -4, 28],
 [-4, 21, -18, 27, -15],
 [-12, 18, -10, 33, -8],
 [-20, 16, -6, 43, -15],
 [28, -32, 16, -60, 63]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[33, 25, 31, 20, -16],
 [-6, 48, -6, 21, 27],
 [25, 23, 19, 25, -9],
 [30, 16, 26, 19, -17],
 [-2, 14, -30, 56, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -56, -12, -25, 6],
 [-19, 43, 12, 5, -9],
 [-23, 43, 0, -1, 3],
 [16, -34, 12, -9, -16],
 [1, 5, -42, 24, 47]]

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


[User]
Find the rank of the matrix:
[[4, 4, 0, -10, -10],
 [-4, -4, 0, 10, 10],
 [-2, -2, 0, 5, 5],
 [12, 12, 0, -30, -30],
 [-10, -10, 0, 25, 25]]

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


[User]
Determine the rank of the following matrix:
[[-16, -16, 0, 12, -20],
 [4, 4, 0, -3, 5],
 [-20, -20, 0, 15, -25],
 [-34, 6, -10, 18, -15],
 [0, -16, 4, 3, -11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, 0, 4, 37, -21],
 [-34, 0, 18, 18, 8],
 [-3, 6, 6, 1, -9],
 [12, -6, -5, 27, -14],
 [-33, 9, 18, -36, 39]]

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


[User]
Find the rank of the matrix:
[[-10, -8, -4, -4, 6],
 [30, 24, 12, 12, -18],
 [-20, -16, -8, -8, 12],
 [-25, -20, -10, -10, 15],
 [0, 0, 0, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-35, -6, -19, 7, -62],
 [16, 30, 13, 25, 26],
 [-20, -40, -7, -36, -23],
 [10, 2, 38, -9, 49],
 [21, -26, -46, -23, -11]]

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[User]
Calculate the rank of matrix A where A =
[[1, -10, 6, -19, 14],
 [19, 26, 6, -1, 2],
 [-25, -20, -15, 25, -20],
 [7, -16, 15, -43, 32],
 [8, 28, -6, 28, -20]]

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


[User]
What is the rank of the matrix:
[[-10, 31, -54, 62, -19],
 [-8, 46, -41, 21, 35],
 [23, -21, 34, -50, 20],
 [42, -56, 18, -26, -32],
 [-8, 24, -18, -22, 58]]?

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[User]
What is the rank of the matrix:
[[15, 0, -5, -30, 25],
 [18, 0, -6, -36, 30],
 [12, 0, -4, -24, 20],
 [-6, 0, 2, 12, -10],
 [6, 0, -2, -12, 10]]?

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[User]
Calculate the rank of matrix A where A =
[[-36, -29, 23, -44, 40],
 [0, -5, -23, 18, -42],
 [24, 42, -17, 29, -34],
 [-18, -23, -15, 3, -21],
 [2, 53, -34, 38, -49]]

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[User]
What is the rank of the matrix:
[[26, 16, -10, -31, 10],
 [11, -8, 11, -1, -8],
 [-43, 2, 4, 32, 3],
 [28, -36, -32, -41, 6],
 [6, -3, -40, -18, 11]]?

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[User]
Determine the rank of the following matrix:
[[22, 25, -2, -3, -10],
 [-39, -45, 3, 6, 24],
 [-7, -10, -1, 3, 22],
 [-19, -25, -1, 6, 40],
 [-42, -45, 6, 3, -6]]

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

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


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

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


[User]
Find the rank of the matrix:
[[-49, 3, -18, -11, 51],
 [-50, 7, 36, -35, 32],
 [-8, 1, 24, 3, 7],
 [34, 21, 42, 27, -41],
 [42, -5, -24, 17, -34]]

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[User]
What is the rank of the matrix:
[[-25, 15, 15, 15, 60],
 [25, -15, -15, -15, -60],
 [32, -16, -12, -24, -60],
 [13, -3, 3, -15, -6],
 [-4, -4, -12, 12, -24]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-28, -27, -21, -32, -5],
 [28, 18, 24, 17, 23],
 [-44, -47, -33, -40, -25],
 [-20, 28, -26, 0, -16],
 [18, -5, 18, 18, -3]]

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[User]
What is the rank of the matrix:
[[2, 7, -23, 4, 17],
 [44, 22, -8, -22, -22],
 [40, -1, -25, 2, -4],
 [-18, 3, -15, 8, 23],
 [-28, 7, 13, -4, 6]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[8, -9, -22, 9, -7],
 [-8, 7, -30, -8, -6],
 [-12, -22, 20, 27, 30],
 [-20, -9, 26, 13, 30],
 [44, 2, -12, -7, -42]]

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

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[User]
Calculate the rank of matrix A where A =
[[20, -6, -26, 4, -4],
 [-25, 17, 31, -25, -20],
 [-12, 19, -31, -28, 20],
 [-41, 27, 30, -52, -45],
 [-24, 2, 9, 1, 26]]

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[User]
Calculate the rank of matrix A where A =
[[-24, -7, 10, 10, -13],
 [-54, -9, 15, 24, -27],
 [30, 29, -35, -8, 23],
 [-30, -29, 35, 8, -23],
 [-24, -7, 10, 10, -13]]

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


[User]
Determine the rank of the following matrix:
[[-26, 46, 5, 31, -40],
 [-9, 10, -5, 4, -9],
 [-4, -20, -30, -26, 16],
 [18, 24, 60, 42, -18],
 [12, -28, -10, -22, 24]]

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


[User]
Find the rank of the matrix:
[[-19, 14, 17, 3, 2],
 [1, 0, -19, -3, 24],
 [-15, -17, 17, 42, 21],
 [-39, 28, 53, 9, -20],
 [-16, 10, 24, 6, -10]]

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[User]
Calculate the rank of matrix A where A =
[[-14, 7, -17, 20, 8],
 [61, 38, -9, -13, 28],
 [-18, -4, -16, 20, 4],
 [0, -12, 11, 7, 33],
 [-12, -13, 23, -4, 10]]

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


[User]
Determine the rank of the following matrix:
[[26, -26, 3, -44, 8],
 [-24, 39, -27, 14, 8],
 [-8, 6, -19, 19, 1],
 [2, 0, 25, -12, -36],
 [20, -24, 50, -33, -40]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-13, 0, 2, 6, -12],
 [-3, -21, 1, -18, 1],
 [22, 24, -4, 12, 16],
 [6, -36, 0, -36, 12],
 [0, 39, -1, 36, -7]]

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


[User]
Determine the rank of the following matrix:
[[-20, -25, -30, -30, -15],
 [24, 30, 36, 36, 18],
 [8, 10, 12, 12, 6],
 [24, 30, 36, 36, 18],
 [12, 15, 18, 18, 9]]

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


[User]
Find the rank of the matrix:
[[41, -18, -8, -15, -10],
 [52, -39, 37, -15, 29],
 [-51, 42, -40, 5, -27],
 [-37, 21, -31, 10, -25],
 [-9, 3, 13, -40, 34]]

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


[User]
Determine the rank of the following matrix:
[[-16, -25, -17, -9, -10],
 [12, 0, 18, -27, -6],
 [-23, -5, 3, -5, 44],
 [20, 15, 3, 28, -22],
 [-3, 45, 5, -17, 56]]

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[User]
Calculate the rank of matrix A where A =
[[30, 35, 10, 30, -25],
 [6, 5, 1, 12, 2],
 [10, 13, 4, 6, -13],
 [22, 21, 5, 36, -2],
 [-10, -9, -2, -18, -1]]

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


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

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


[User]
Find the rank of the matrix:
[[45, -24, -19, -25, -14],
 [27, 19, 18, 46, -17],
 [6, -12, 14, -10, -10],
 [-42, -40, -76, 0, 17],
 [-30, -14, -62, 12, 19]]

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


[User]
Determine the rank of the following matrix:
[[-25, -6, 25, 10, -21],
 [-9, -20, 20, 8, -13],
 [-10, 3, -25, -10, 50],
 [-31, -23, 5, 2, 33],
 [-17, 16, -15, -6, 27]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[40, -2, 8, 30, -26],
 [22, -44, -12, -22, -38],
 [-35, -20, -46, -55, 41],
 [-5, -8, -39, -55, -23],
 [-4, 2, -32, -36, -7]]

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[User]
Calculate the rank of matrix A where A =
[[14, 11, -64, 14, 21],
 [28, -49, -12, -35, -30],
 [-2, 49, 20, 22, 47],
 [-24, 8, 65, -19, -12],
 [26, -12, -5, -18, 5]]

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


[User]
Determine the rank of the following matrix:
[[30, 20, 33, -16, -13],
 [12, 10, -3, 12, -18],
 [-30, -8, -15, 40, -35],
 [12, 8, 42, -28, 2],
 [42, 18, 28, -40, 21]]

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


[User]
Find the rank of the matrix:
[[-6, 18, 20, 4, 46],
 [-34, 6, -44, -14, 20],
 [27, 5, 56, 20, 5],
 [-38, 4, 2, 40, -24],
 [-41, 6, -41, -3, 11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 25, 30, 0, 5],
 [23, 15, -6, 4, -21],
 [14, 30, 12, 4, -18],
 [16, 40, 18, 5, -22],
 [-9, 15, 18, 0, 3]]

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


[User]
Find the rank of the matrix:
[[22, -25, 19, -3, 10],
 [-32, 3, -23, 5, -28],
 [26, 7, 17, -3, 26],
 [24, 25, 4, 27, 18],
 [-28, -38, 1, -46, -18]]

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


[User]
What is the rank of the matrix:
[[6, 18, -42, 8, 15],
 [9, -22, -2, -2, -7],
 [30, -10, -2, -64, 35],
 [21, -27, -28, -4, 0],
 [18, -40, 10, -20, -7]]?

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


[User]
Find the rank of the matrix:
[[-39, -45, 33, 40, -23],
 [42, 14, -40, -37, 34],
 [48, 34, -32, -27, 21],
 [38, 10, 8, 15, 2],
 [14, 44, -30, -38, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[44, -57, 11, -28, -69],
 [25, -8, -25, -2, -8],
 [4, 9, 9, -1, 4],
 [25, -11, -4, -8, -17],
 [31, -13, 0, -11, -22]]

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


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

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


[User]
What is the rank of the matrix:
[[-24, -6, 9, 28, -27],
 [-32, -18, -13, -26, 9],
 [8, -18, -18, -31, 29],
 [-54, -51, -21, -17, 3],
 [-36, -30, 2, 32, -28]]?

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


[User]
Find the rank of the matrix:
[[22, 81, -7, -56, 21],
 [-23, -20, 22, 38, 15],
 [-28, -50, -2, 27, 0],
 [21, 8, 4, -3, -17],
 [-6, -6, 6, -4, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -14, 27, -13, -34],
 [26, 28, 12, 2, 2],
 [-30, -36, -6, -6, -12],
 [-24, -32, 2, -8, -18],
 [10, 20, -15, 10, 25]]

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


[User]
What is the rank of the matrix:
[[-26, -20, -14, -8, 14],
 [-3, -6, 5, 4, 3],
 [-13, -34, 36, 28, 16],
 [-2, -20, 32, 24, 8],
 [-23, -38, 24, 20, 20]]?

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


[User]
Find the rank of the matrix:
[[9, 5, -18, 20, -23],
 [12, -24, 22, 19, -23],
 [-6, 34, -44, -4, 6],
 [-18, 14, 0, -34, 40],
 [-12, 20, -16, -20, 24]]

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


[User]
Find the rank of the matrix:
[[-8, -12, -25, 32, -4],
 [20, -16, 32, -70, 30],
 [8, 6, -54, 83, 1],
 [-76, 9, 44, -28, -77],
 [-17, 22, 20, -10, -27]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-54, 7, -57, -14, -1],
 [4, -28, 13, 41, 5],
 [13, -8, -40, -2, 46],
 [-43, 6, -25, -11, -11],
 [17, 11, -3, -16, 7]]

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


[User]
What is the rank of the matrix:
[[-2, -17, 17, -38, -38],
 [0, 18, -3, 21, 30],
 [0, -16, 6, -22, -30],
 [-10, -19, 40, -79, -46],
 [-6, 23, 6, 5, 42]]?

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


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

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


[User]
Find the rank of the matrix:
[[59, -14, 51, -6, 27],
 [26, 4, 9, -34, 18],
 [-27, 5, -27, 6, -21],
 [10, -4, 21, 6, 18],
 [-8, 10, -27, -26, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[21, -29, 9, -14, 15],
 [10, 7, -22, 24, -6],
 [-10, -26, 46, -52, 18],
 [13, -27, 17, -22, 15],
 [15, 20, -45, 50, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 2, -8, 22, -40],
 [-36, -22, -32, -32, 20],
 [54, 14, 34, 40, -16],
 [-29, -6, -35, -10, -4],
 [-6, -24, -18, -12, 0]]

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


[User]
Determine the rank of the following matrix:
[[19, -35, -12, -6, -2],
 [-12, 15, -5, 27, -15],
 [-3, -28, 28, -10, -27],
 [24, -34, -2, -34, 18],
 [-11, -35, 29, 15, -56]]

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


[User]
Determine the rank of the following matrix:
[[-4, 43, 7, -42, -32],
 [20, -6, 15, -12, 14],
 [20, -36, 3, 24, 26],
 [-8, -6, -6, 12, 4],
 [8, 50, 18, -60, -32]]

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


[User]
Determine the rank of the following matrix:
[[-4, 8, 4, -4, 8],
 [4, -8, -4, 4, -8],
 [-6, 12, 6, -6, 12],
 [8, -16, -8, 8, -16],
 [0, 0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[-1, -12, 5, 18, 5],
 [-10, -33, 5, 12, 5],
 [8, 30, -4, -18, -4],
 [7, 34, -20, -21, -20],
 [-1, -3, 5, -3, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 3, 30, 12, -45],
 [29, -7, 3, -23, 45],
 [-7, 2, -31, -19, 34],
 [-34, 8, -37, 5, -6],
 [10, -2, 47, 21, -48]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 0, -18, -15, -12],
 [5, 0, -6, -5, -4],
 [-5, 0, 6, 5, 4],
 [0, 0, 0, 0, 0],
 [30, 0, -36, -30, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 7, -17, 35, 9],
 [20, 10, -14, 32, 0],
 [10, 1, 5, -8, -8],
 [25, 12, -16, 37, -1],
 [-10, 2, -14, 26, 14]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-18, -12, 12, 6, -9],
 [-24, -16, 16, 8, -12],
 [18, 12, -12, -6, 9],
 [36, 24, -24, -12, 18]]

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


[User]
What is the rank of the matrix:
[[9, 9, -9, 0, 18],
 [16, -14, -1, 25, 7],
 [7, -5, -1, 10, 4],
 [-20, -14, 17, -5, -35],
 [10, -2, -4, 10, 10]]?

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


[User]
Find the rank of the matrix:
[[-8, -26, -2, -19, -8],
 [-50, -39, -49, 4, -42],
 [0, -6, 4, -9, 2],
 [-42, 29, -20, 11, 11],
 [-16, 32, -5, 13, 15]]

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


[User]
What is the rank of the matrix:
[[4, -8, 2, 4, -12],
 [-4, 8, -2, -4, 12],
 [-4, 8, -2, -4, 12],
 [-10, 20, -5, -10, 30],
 [-12, 24, -6, -12, 36]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, 56, -39, -21, -38],
 [-40, 18, 0, -49, -62],
 [6, 7, 9, 14, 3],
 [-8, 7, -33, -14, 5],
 [-17, 32, -39, 0, 14]]

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


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

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


[User]
What is the rank of the matrix:
[[20, -20, 24, 20, 24],
 [-15, 18, -21, -19, -17],
 [15, -21, 24, 23, 16],
 [-10, 4, -6, -2, -14],
 [-20, 17, -21, -16, -25]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 6, 21, -12, 15],
 [24, -24, -20, 8, 4],
 [2, -2, -7, 4, -5],
 [-2, 2, -9, 6, -11],
 [-10, 10, 19, -10, 9]]

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


[User]
What is the rank of the matrix:
[[-13, -48, -42, 10, 8],
 [5, 24, 18, -14, -4],
 [-8, -12, -20, -26, 2],
 [-3, -6, -8, -7, 1],
 [-13, -48, -42, 10, 8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-29, -6, -7, -20, -15],
 [10, 24, 30, -12, -26],
 [-4, -24, -6, -12, 2],
 [19, 5, -3, 23, 19],
 [-41, -5, -14, -21, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[26, 18, 2, 12, -2],
 [-11, -9, -14, -21, 23],
 [7, 3, -17, -18, 29],
 [19, 11, -19, -16, 33],
 [-10, -8, -11, -17, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -26, 18, 11, -11],
 [22, -48, 15, -19, -20],
 [-24, 27, -14, 5, 10],
 [30, -26, 23, 12, -9],
 [12, -20, 6, -10, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -21, 25, -4, -8],
 [-16, -19, 9, -10, 3],
 [-25, 18, -38, -6, 6],
 [-11, -5, 3, -4, -13],
 [30, -5, 25, 10, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 29, 19, -27, -19],
 [-27, 14, 8, -6, -8],
 [-51, 0, -2, 12, 2],
 [-18, 66, 42, -54, -42],
 [39, -24, -14, 12, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 35, 7, 20, 9],
 [-35, 11, 33, 14, -31],
 [12, 22, -2, 7, 17],
 [-1, -19, 1, -19, 0],
 [8, -14, -12, -8, 4]]

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


[User]
What is the rank of the matrix:
[[-62, 1, -62, 16, -2],
 [35, 0, 46, -5, -1],
 [-64, 4, -84, 42, -1],
 [16, -26, -22, -29, 25],
 [-24, -26, -48, -6, 22]]?

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


[User]
Find the rank of the matrix:
[[9, 6, -33, 24, 36],
 [0, -18, -18, 27, 27],
 [5, 30, -7, -19, -20],
 [6, 44, 28, -49, -36],
 [-12, -30, 0, 12, -15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-19, -7, -21, 27, 6],
 [16, -3, -10, -12, 16],
 [-20, 8, 17, -3, -20],
 [31, -9, -8, 12, 14],
 [-8, 3, 17, 15, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 9, 18, 15, 0],
 [-2, -6, -12, -10, 0],
 [-4, -12, -24, -20, 0],
 [-1, -3, -6, -5, 0],
 [6, 18, 36, 30, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-27, -42, 5, 5, 34],
 [41, 11, -23, -2, -15],
 [9, -60, -17, 7, 32],
 [-18, 6, 12, 18, -18],
 [28, -56, -28, 8, 24]]?

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


[User]
Determine the rank of the following matrix:
[[28, -23, -6, -5, 9],
 [12, -11, 2, -9, 5],
 [28, -24, -2, -11, 10],
 [0, -5, 20, -30, 5],
 [-4, 3, 2, -1, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 22, -1, -7, 16],
 [39, 5, -10, -5, 23],
 [11, 33, 31, -6, 6],
 [55, -8, 32, 2, -26],
 [37, 22, 36, -4, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[38, -13, 3, 11, 12],
 [16, -60, 11, -9, -30],
 [-14, 21, -4, 0, 6],
 [12, -10, 2, 2, 0],
 [-52, 6, -2, -18, -24]]

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


[User]
Determine the rank of the following matrix:
[[29, -42, -17, -30, 4],
 [42, -16, -57, 18, 39],
 [-104, 32, -22, -38, -18],
 [-4, 8, -8, 9, 19],
 [-50, 4, -22, -33, -23]]

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


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

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


[User]
What is the rank of the matrix:
[[-9, 2, 9, -11, 4],
 [-14, -4, 6, -34, -16],
 [-14, 4, 15, -15, 9],
 [7, -6, -12, -2, -17],
 [-12, 8, 18, -2, 22]]?

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


[User]
Calculate the rank of matrix A where A =
[[28, -42, -14, 14, -14],
 [0, 0, 14, -7, 21],
 [18, -29, 6, -1, 13],
 [10, -7, 15, 5, 27],
 [4, 4, -1, 14, 2]]

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


[User]
What is the rank of the matrix:
[[0, 15, 5, -30, 15],
 [4, -17, 21, -18, -17],
 [-3, 15, -15, 9, 15],
 [0, -15, -5, 30, -15],
 [3, -30, 10, 21, -30]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 36, 9, -3, 6],
 [-19, -11, 18, 22, -39],
 [-50, -26, 9, -11, -8],
 [-35, -22, -9, -31, 27],
 [16, 13, -9, -11, 22]]

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


[User]
What is the rank of the matrix:
[[27, 21, 6, -54, -18],
 [-11, -10, 25, -30, 29],
 [-6, -5, 5, 0, 9],
 [-27, -22, 13, 18, 33],
 [11, 8, 13, -42, 1]]?

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


[User]
What is the rank of the matrix:
[[-44, 10, 19, 9, 20],
 [111, 3, -21, -6, -15],
 [-61, 23, -7, -28, 25],
 [-69, -18, 23, 21, -2],
 [-16, -10, -3, -1, -9]]?

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


[User]
What is the rank of the matrix:
[[-32, 30, -15, -27, -21],
 [11, 3, 7, 2, 13],
 [6, 19, -2, 1, 8],
 [33, -2, 13, 19, 29],
 [-21, 5, -34, -43, -38]]?

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


[User]
What is the rank of the matrix:
[[-5, 1, 6, 6, 6],
 [-5, 1, 6, 6, 6],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [5, -1, -6, -6, -6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -2, 5, 1, 0],
 [-16, 8, -20, -4, 0],
 [-24, 12, -30, -6, 0],
 [8, -4, 10, 2, 0],
 [16, -8, 20, 4, 0]]

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


[User]
Find the rank of the matrix:
[[-31, -11, -20, -20, -8],
 [27, -8, 7, -24, -21],
 [-29, 9, -15, -24, -22],
 [49, -61, 50, 14, 14],
 [-4, 17, -10, -4, -5]]

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


[User]
Determine the rank of the following matrix:
[[-30, -34, -30, -20, -11],
 [-10, -1, -7, 0, 10],
 [-16, -3, -13, -4, 27],
 [-8, 10, -2, 8, 18],
 [-38, -25, -32, -12, 3]]

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


[User]
Find the rank of the matrix:
[[-9, 15, 9, 6, 15],
 [-1, -19, 11, 12, -9],
 [53, -47, -23, -18, -67],
 [-18, -1, 8, 9, 14],
 [27, 17, -52, -48, -13]]

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


[User]
Determine the rank of the following matrix:
[[-18, 19, 61, 13, 47],
 [-35, 21, -15, -53, -9],
 [-27, 19, -13, -15, -19],
 [8, 7, -45, -36, -53],
 [29, -29, -23, 34, -12]]

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


[User]
What is the rank of the matrix:
[[-6, 12, 10, 46, -20],
 [26, 29, 13, -11, 11],
 [10, 22, 14, 29, -11],
 [22, 7, -3, -60, 32],
 [2, -1, -3, -18, 10]]?

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


[User]
Determine the rank of the following matrix:
[[21, 64, -24, 33, -40],
 [-15, -28, 34, -27, -4],
 [24, 60, -8, 24, -32],
 [-21, -5, -13, 3, -38],
 [-9, -39, 25, -25, 30]]

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


[User]
Determine the rank of the following matrix:
[[-10, -24, 12, 21, -11],
 [12, 36, -20, -32, 20],
 [22, 24, -4, -19, -3],
 [16, 24, -8, -20, 4],
 [-13, 3, -11, -5, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, 52, 11, 32, 8],
 [-62, -48, 21, -44, -4],
 [-24, -23, -3, -8, -4],
 [-2, 2, -10, 2, 0],
 [-35, -69, -26, -17, -14]]

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


[User]
What is the rank of the matrix:
[[0, -6, -44, -6, 0],
 [13, -21, -20, 13, 45],
 [-8, -22, -60, 15, 10],
 [6, 31, -28, -2, -40],
 [1, -25, 102, 6, 55]]?

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [12, 10, -4, 10, -12],
 [-12, -10, 4, -10, 12],
 [12, 10, -4, 10, -12],
 [24, 20, -8, 20, -24]]

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


[User]
What is the rank of the matrix:
[[-21, -12, -9, -6, -33],
 [10, 5, 5, 5, 25],
 [13, 9, 4, -1, 0],
 [-2, 0, -2, -4, -18],
 [18, 11, 7, 3, 19]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[57, 25, -26, 34, 11],
 [21, -26, -15, 13, 23],
 [-7, 59, 8, -3, -37],
 [-3, -15, -2, -37, -3],
 [-8, 5, -41, 18, -27]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 48, 45, -48, -39],
 [-39, -39, -45, 39, -3],
 [45, 6, -9, -6, 16],
 [-26, -29, -30, 29, 3],
 [0, -33, -36, 33, 24]]

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


[User]
Determine the rank of the following matrix:
[[12, -63, 16, -40, -23],
 [-18, 27, 9, 33, -9],
 [-28, 41, 13, 36, 14],
 [30, 33, -12, 21, -24],
 [24, -14, -20, -8, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 18, -12, 4, -18],
 [3, -12, 6, -6, 15],
 [-21, 0, -18, -30, 27],
 [9, -15, 12, 0, 12],
 [-29, 18, -30, -26, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[20, 30, -15, 10, 30],
 [16, 24, -12, 8, 24],
 [4, 6, -3, 2, 6],
 [0, 0, 0, 0, 0],
 [16, 24, -12, 8, 24]]

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


[User]
Find the rank of the matrix:
[[-16, -8, 51, 3, -10],
 [-25, -13, 75, -45, 62],
 [-8, 27, -29, 0, -34],
 [-45, 52, 15, -30, -18],
 [50, -58, -14, 42, 12]]

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


[User]
Determine the rank of the following matrix:
[[6, -18, 18, -15, -33],
 [-2, 6, 13, 10, -3],
 [-48, -20, -29, -100, -36],
 [8, 3, -16, 5, 21],
 [-18, -6, 4, 2, -23]]

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


[User]
What is the rank of the matrix:
[[30, 30, -5, -5, -20],
 [24, 24, -4, -4, -16],
 [-6, -6, 1, 1, 4],
 [24, 24, -4, -4, -16],
 [36, 36, -6, -6, -24]]?

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


[User]
Determine the rank of the following matrix:
[[-18, -18, -36, -36, 24],
 [12, 12, 24, 24, -16],
 [-12, -12, -24, -24, 16],
 [0, 0, 0, 0, 0],
 [9, 9, 18, 18, -12]]

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


[User]
Determine the rank of the following matrix:
[[15, 5, 22, 26, 11],
 [-24, -35, 8, 34, 4],
 [-9, 5, -26, -38, -13],
 [0, -5, 8, 14, 4],
 [-27, -20, -22, -16, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -41, -34, -42, 34],
 [17, -46, -47, -31, 38],
 [15, -7, -9, 1, 10],
 [-11, -7, -17, 27, -24],
 [21, 15, 5, 33, -18]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -13, -6, -1, -37],
 [-11, -18, -41, 54, -17],
 [58, -51, -8, -6, 19],
 [-50, 27, 14, 18, 5],
 [-39, 50, -19, 8, -41]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 15, 12, -12, -9],
 [-8, 20, 16, -16, -12],
 [4, -10, -8, 8, 6],
 [4, -10, -8, 8, 6],
 [-8, 20, 16, -16, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[30, -9, -31, 23, -39],
 [-42, 20, -1, -10, -12],
 [-12, 10, -26, 10, -42],
 [18, -11, 15, -3, 27],
 [-36, 17, 0, -9, -9]]

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


[User]
What is the rank of the matrix:
[[5, -4, -17, -9, 21],
 [-26, 14, -12, 22, -18],
 [-12, -29, -12, -22, 30],
 [-3, -19, 1, -15, 15],
 [-11, -35, 13, -23, 15]]?

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


[User]
Determine the rank of the following matrix:
[[0, 3, 15, -33, -24],
 [-1, -39, 2, -14, -30],
 [6, 11, 37, 15, 24],
 [2, 7, -11, 55, 48],
 [-2, 19, -9, -16, -6]]

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


[User]
Find the rank of the matrix:
[[53, -3, 51, 5, 14],
 [-17, 3, -6, -41, 40],
 [-34, -6, -40, -36, 22],
 [5, -11, -2, -61, 62],
 [-13, -13, -31, -25, 14]]

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


[User]
What is the rank of the matrix:
[[40, -7, 9, -31, -46],
 [63, 3, -13, -2, 0],
 [11, -2, 22, -27, -50],
 [-8, -3, -14, 11, 26],
 [21, 2, -13, 9, 18]]?

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [4, 20, 24, -12, -12],
 [-4, -20, -24, 12, 12],
 [-5, -25, -30, 15, 15],
 [0, 0, 0, 0, 0]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -65, -54, -8, -58],
 [-5, -18, -48, -12, -54],
 [-9, 48, 17, 1, 19],
 [-16, 18, -27, -2, -22],
 [3, -48, 7, -16, 2]]

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


[User]
Determine the rank of the following matrix:
[[4, 9, 6, -30, -28],
 [16, 20, -16, -25, -31],
 [6, 12, -6, -15, -33],
 [-20, -15, 22, 15, -9],
 [0, -5, 14, -20, 22]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 12, 0, 16, -4],
 [36, -18, 18, 12, -42],
 [-36, 21, -18, -8, 41],
 [-24, 18, -12, 0, 26],
 [6, -18, 3, -18, -2]]

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


[User]
What is the rank of the matrix:
[[-17, 22, 22, -25, 9],
 [-37, 7, -19, 7, 20],
 [14, -11, -37, 6, -39],
 [27, -12, 12, 14, 7],
 [-23, -6, -30, -6, -29]]?

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


[User]
Determine the rank of the following matrix:
[[-1, -5, 0, 4, 4],
 [-39, -51, 24, -18, 30],
 [2, 10, 0, -8, -8],
 [23, 19, -16, 24, -8],
 [-23, -19, 16, -24, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[22, 26, -2, 34, 6],
 [24, 30, -12, 6, 0],
 [-6, -6, -6, -30, -6],
 [15, 18, -3, 18, 3],
 [-4, -5, 2, -1, 0]]

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


[User]
What is the rank of the matrix:
[[-30, -48, -29, -34, 8],
 [27, 75, 1, 2, -10],
 [-32, 25, -40, 25, 64],
 [5, -33, 10, -28, -26],
 [45, 66, 38, 31, -26]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, -3, 29, 14, 13],
 [42, 0, 9, 51, 9],
 [-28, -4, 4, -30, 6],
 [-4, 2, -23, -9, -9],
 [-3, 5, 48, -1, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, 56, -23, -13, 31],
 [-12, 9, 24, 38, 6],
 [-8, -16, 7, -6, 7],
 [-4, 4, 20, 18, 2],
 [22, 21, -24, -11, -17]]

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