[User]
Determine the rank of the following matrix:
[[25, 25, 33, 20, -38],
 [-29, -32, -20, 41, 12],
 [14, 5, 13, -5, -5],
 [-24, -8, -12, 44, -11],
 [-35, -39, -35, 12, 35]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -13, 10, -16, 2],
 [-24, -42, 60, -24, -36],
 [-20, -5, 20, 10, -24],
 [-8, 16, -10, 22, -6],
 [4, -28, 25, -31, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 26, -21, -15, -36],
 [24, 34, -4, 12, -28],
 [64, -26, 50, 30, 52],
 [6, -27, 41, 51, 56],
 [12, -31, 19, -3, 34]]

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


[User]
Find the rank of the matrix:
[[13, 37, 42, -3, 7],
 [24, -40, -32, -20, -8],
 [32, -32, -8, -46, -40],
 [-8, -16, -28, 18, 20],
 [17, -27, -16, -23, -19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 1, 1, -5, 4],
 [20, 6, -21, -16, 64],
 [-14, 17, 2, -21, 34],
 [-38, 12, 10, -6, -2],
 [34, -5, -6, -3, 10]]

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


[User]
What is the rank of the matrix:
[[19, -21, 11, -33, -7],
 [-46, 9, -27, 28, -5],
 [-5, 15, -30, 3, 34],
 [17, -7, -3, -13, 40],
 [12, 2, -25, -28, 21]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, -12, 30, 24, 24],
 [-4, -2, 5, -14, 2],
 [-40, -14, 35, 10, 26],
 [11, 4, -10, 1, -7],
 [-14, -4, 10, 26, 10]]

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


[User]
Determine the rank of the following matrix:
[[7, 0, -3, -3, -6],
 [-34, 2, 36, 3, 10],
 [-72, -17, 60, 36, 38],
 [-12, -5, 22, 3, -4],
 [50, -4, -40, -9, -26]]

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


[User]
What is the rank of the matrix:
[[4, -22, -28, 0, -29],
 [12, -6, 6, -30, -12],
 [-10, 17, 13, 19, 25],
 [-10, 21, 19, 17, 30],
 [10, 11, 29, -33, 10]]?

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [5, 25, 15, 15, 20],
 [2, 10, 6, 6, 8],
 [-4, -20, -12, -12, -16],
 [-1, -5, -3, -3, -4]]

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


[User]
Determine the rank of the following matrix:
[[-12, -24, 4, 16, -20],
 [12, 6, -1, -3, 14],
 [-3, 30, -5, -22, 7],
 [-27, 0, 0, -3, -27],
 [9, 18, -3, -12, 15]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-12, 24, 16, 0, -16],
 [-15, 30, 20, 0, -20],
 [-3, 6, 4, 0, -4],
 [18, -36, -24, 0, 24]]

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


[User]
What is the rank of the matrix:
[[-4, 13, -10, -19, -12],
 [-12, 33, -22, -30, 18],
 [-13, 26, -19, -21, 18],
 [34, -43, 44, 52, 30],
 [25, -9, 21, 11, 24]]?

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


[User]
What is the rank of the matrix:
[[-12, 6, 10, 10, -10],
 [6, -3, -5, -5, 5],
 [-30, 15, 25, 25, -25],
 [0, 0, 0, 0, 0],
 [-12, 6, 10, 10, -10]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -6, -9, 4, 0],
 [-4, -12, 2, -42, 30],
 [9, -36, -36, -21, 27],
 [0, -6, -3, -11, 9],
 [-2, 0, 4, -10, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, -27, 22, -36, 28],
 [-9, -5, 16, -16, 32],
 [-2, 5, 0, 0, 0],
 [18, 31, -13, 30, -26],
 [-18, -4, -6, -12, -8]]

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


[User]
Find the rank of the matrix:
[[-2, -1, 20, -30, -38],
 [-6, -9, 12, 6, 6],
 [-31, 18, -5, -14, 8],
 [-33, 36, -42, 21, 59],
 [18, -5, 10, -19, -36]]

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


[User]
Determine the rank of the following matrix:
[[23, -9, -5, -6, 4],
 [-22, 11, 4, 0, 0],
 [-12, -21, 7, 24, -50],
 [-24, -11, 10, 36, -40],
 [8, 10, 2, 48, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 8, -16, 22, 29],
 [12, -16, 32, -28, -30],
 [6, -48, 12, -46, -27],
 [4, 8, -10, 27, 38],
 [-10, 4, -14, 0, -5]]

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


[User]
Determine the rank of the following matrix:
[[-15, -2, 2, 8, -6],
 [39, -8, -22, -22, 6],
 [-6, -14, -16, 2, -12],
 [18, 20, 20, -8, 20],
 [-9, 1, 4, 5, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[30, -11, 21, 22, 23],
 [5, -10, -35, -10, -40],
 [-12, 4, 12, -2, 8],
 [81, -37, -26, 31, -19],
 [-42, 26, -24, -28, -14]]

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


[User]
Find the rank of the matrix:
[[6, -12, -36, -10, 12],
 [0, 16, 32, 0, -8],
 [12, -8, -40, -20, 16],
 [3, -8, -22, -5, 7],
 [-21, -8, 26, 35, -17]]

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


[User]
Determine the rank of the following matrix:
[[3, -24, -33, 3, 2],
 [-30, 31, 24, -28, -2],
 [42, -26, -18, 38, -8],
 [-21, -5, -19, -19, 4],
 [63, -50, -25, 59, 6]]

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


[User]
Find the rank of the matrix:
[[-14, -34, 10, -14, -34],
 [24, 39, -9, 27, 15],
 [22, 17, -11, 14, -4],
 [8, 19, 3, 19, -1],
 [-7, -2, -12, -23, 41]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, -7, 13, 11, -16],
 [-6, 16, 6, 46, -38],
 [-15, -53, 1, -23, -2],
 [-28, -16, -9, 29, -31],
 [-42, -44, -7, 4, -41]]

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


[User]
What is the rank of the matrix:
[[5, 31, 5, -33, -26],
 [14, 66, 60, -4, -30],
 [14, 30, 3, 1, -47],
 [8, 28, 17, -3, -23],
 [11, 29, 22, 12, -27]]?

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


[User]
What is the rank of the matrix:
[[-4, 6, -2, 3, -1],
 [-16, 24, -8, 12, -4],
 [-8, 12, -4, 6, -2],
 [0, 0, 0, 0, 0],
 [8, -12, 4, -6, 2]]?

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


[User]
Determine the rank of the following matrix:
[[-3, 12, -12, 12, 3],
 [17, -18, 32, -18, -13],
 [11, 6, 8, 6, -7],
 [-13, 2, -16, 2, 9],
 [-16, -11, -10, -11, 10]]

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


[User]
Find the rank of the matrix:
[[13, 13, 13, -1, 14],
 [44, -10, -21, 16, -17],
 [2, 44, 19, -6, 19],
 [47, -37, -40, 20, -26],
 [-51, 43, 56, -27, 47]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, 18, 18, -7, -20],
 [3, 6, 22, -25, -44],
 [31, 8, -11, 32, -34],
 [27, -30, -26, -2, -16],
 [-9, -54, -36, -12, 60]]

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


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

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


[User]
Find the rank of the matrix:
[[-6, 3, -4, 18, 13],
 [-9, 36, -20, -36, -19],
 [6, -12, 8, 0, -2],
 [-7, 20, -12, -12, -5],
 [1, -8, 4, 12, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -16, -8, 22, -40],
 [-36, 0, -40, 12, 24],
 [-24, -10, -2, -45, -9],
 [-6, 8, -16, 21, 24],
 [0, 2, -14, 31, 5]]

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


[User]
Find the rank of the matrix:
[[10, -5, -25, -30, 25],
 [2, -1, -5, -6, 5],
 [0, 0, 0, 0, 0],
 [12, -6, -30, -36, 30],
 [-4, 2, 10, 12, -10]]

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


[User]
Determine the rank of the following matrix:
[[13, 12, 12, -27, -18],
 [22, -1, 16, -18, -12],
 [55, -45, 33, 14, 7],
 [12, -28, 10, 42, 18],
 [36, -1, 37, -5, -19]]

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


[User]
Determine the rank of the following matrix:
[[10, -6, -6, -26, 22],
 [-5, -34, -39, 2, 26],
 [-15, -23, -29, 8, -7],
 [23, 12, 14, -22, -29],
 [20, 10, 12, -29, -10]]

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


[User]
Determine the rank of the following matrix:
[[-8, -15, -2, 3, 10],
 [-4, -15, 4, 14, 20],
 [4, 0, 6, 11, 10],
 [-24, -18, -24, -36, -24],
 [20, 18, 18, 25, 14]]

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


[User]
What is the rank of the matrix:
[[16, 40, 6, -30, -12],
 [2, 12, 6, -10, -2],
 [9, -2, -15, 5, -5],
 [12, 16, -6, -10, -8],
 [10, 4, -12, 0, -6]]?

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


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

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


[User]
Find the rank of the matrix:
[[28, 6, 27, -32, -14],
 [26, 2, 23, -10, 8],
 [-20, -20, -5, 44, 8],
 [-10, 4, -25, -11, 15],
 [-39, -4, -31, 3, -27]]

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


[User]
Determine the rank of the following matrix:
[[9, -37, -41, 6, 17],
 [-21, 41, 9, -7, -6],
 [-3, -65, -9, -27, -19],
 [6, -30, -34, -4, -26],
 [-29, -23, 15, -35, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, -24, -8, 34, 22],
 [18, -54, 15, -6, 33],
 [2, -48, 4, 18, 34],
 [18, 18, 11, -38, -19],
 [-10, 6, -7, 14, -1]]

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


[User]
Find the rank of the matrix:
[[-52, 11, 16, -32, -41],
 [20, -21, 14, 41, 26],
 [-4, 7, -28, -26, -18],
 [-7, -3, -8, 12, 13],
 [38, 5, 30, 17, 27]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[11, -45, 37, 11, -33],
 [-10, 26, -20, -11, 17],
 [-15, 25, -9, -39, 16],
 [19, -29, 9, 9, -24],
 [15, -42, 32, -6, -32]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-20, 5, 5, 5, -20],
 [4, -1, -1, -1, 4],
 [4, -1, -1, -1, 4],
 [-16, 4, 4, 4, -16]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -16, -2, -14, 10],
 [-10, -33, 1, -26, 16],
 [0, -1, 3, -4, -10],
 [-12, -13, 3, -20, -14],
 [-10, -9, 1, -14, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-27, -4, 21, 11, 5],
 [-31, 9, 19, -8, -6],
 [18, -7, -9, 25, -8],
 [6, -6, -9, -10, 23],
 [-12, -14, -9, 22, 34]]

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


[User]
Find the rank of the matrix:
[[44, 22, -18, 4, 12],
 [38, 7, -21, 1, 9],
 [-26, -20, 11, -4, -10],
 [-38, -26, -3, -4, -2],
 [-26, 13, -13, 5, 17]]

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


[User]
What is the rank of the matrix:
[[36, 46, -50, -2, -23],
 [17, 34, -40, -16, -22],
 [-10, -6, 7, -2, 0],
 [8, 6, -8, -2, -1],
 [23, 22, -22, 8, -8]]?

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


[User]
What is the rank of the matrix:
[[-17, 20, -21, -6, -5],
 [4, 8, -33, -22, -24],
 [1, -4, -15, -18, -11],
 [-45, -7, 16, -8, 32],
 [-57, -1, 10, -12, 34]]?

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


[User]
What is the rank of the matrix:
[[15, -1, 19, 28, 27],
 [26, 15, 33, 20, 28],
 [-7, -20, -32, -12, -56],
 [-7, 45, 56, 4, 34],
 [-39, 36, 13, -40, -4]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, 9, 3, -21, -6],
 [14, 2, 4, -13, -6],
 [16, -8, 14, -23, -18],
 [17, 35, -25, 10, 28],
 [-1, 29, -27, 24, 32]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-20, -3, -22, 2, -23],
 [-44, -21, -42, -10, -49],
 [40, 24, 36, 14, 44],
 [8, 3, 8, 1, 9],
 [16, 42, 0, 38, 14]]

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


[User]
Find the rank of the matrix:
[[-34, 14, -19, -4, -10],
 [22, -18, 24, -5, -26],
 [-22, -7, -8, -12, -15],
 [54, -6, 36, 12, -6],
 [-31, -19, -19, -16, 5]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-10, 2, -6, 8, -6],
 [15, -3, 9, -12, 9],
 [-30, 6, -18, 24, -18],
 [-30, 6, -18, 24, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 57, 0, 3, -46],
 [3, 3, -3, -2, -2],
 [7, 52, 9, 5, -42],
 [38, -16, -36, -44, 23],
 [3, 57, 9, 12, -48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -24, -1, -18, -17],
 [-68, 5, 30, 30, 21],
 [15, 39, 26, 12, 44],
 [-11, -40, -21, -33, -27],
 [-46, 12, -7, 36, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 3, -35, 20, 11],
 [-17, -14, -23, 1, -12],
 [-29, -29, -15, -16, -29],
 [30, 42, -6, 36, 50],
 [-19, -7, -17, 0, 1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[15, -12, -6, -6, 6],
 [-30, 24, 12, 12, -12],
 [-17, 40, -14, -10, 2],
 [26, -1, -26, -23, 17],
 [5, -4, -2, -2, 2]]

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


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

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


[User]
What is the rank of the matrix:
[[5, 61, -23, 10, 26],
 [-4, -35, 3, -1, -40],
 [0, -30, 30, -12, 36],
 [3, -18, 28, -4, 60],
 [-1, 0, -38, 31, -70]]?

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


[User]
Determine the rank of the following matrix:
[[0, -6, -3, -15, 24],
 [-37, -12, 23, 38, -46],
 [-53, -6, 4, 21, 16],
 [-26, -2, 6, 19, -9],
 [37, 10, -15, -27, 21]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 6, 6, -48, -6],
 [-30, -5, 30, 26, 26],
 [4, 6, -4, -44, -12],
 [-20, 0, 20, -8, 12],
 [-13, -2, 13, 10, 11]]

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


[User]
What is the rank of the matrix:
[[29, -1, -8, 24, 37],
 [-4, -19, -21, 25, -16],
 [2, -3, 3, 5, -12],
 [-35, 10, 6, -40, -14],
 [41, 6, 11, 21, 31]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-29, 18, -11, 29, 23],
 [-6, -8, 6, 6, 12],
 [-12, 52, -36, 12, -18],
 [-2, 20, -14, 2, -10],
 [9, 12, -9, -9, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -8, 8, 23, -9],
 [-34, 48, 32, -10, 40],
 [-11, -4, 8, 23, -12],
 [9, 12, 8, -13, 24],
 [-33, 44, 24, -15, 34]]

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


[User]
Determine the rank of the following matrix:
[[-22, -22, -10, 12, 20],
 [7, -8, 10, -7, 5],
 [-22, -22, -10, 12, 20],
 [-7, -25, 5, 0, 20],
 [-2, -26, 10, -4, 20]]

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


[User]
Find the rank of the matrix:
[[-10, 1, -10, -13, 8],
 [-3, -3, 6, -13, 1],
 [13, -5, -6, 37, 5],
 [9, -34, -4, 28, 39],
 [12, -4, 8, 20, -4]]

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


[User]
Find the rank of the matrix:
[[-28, 6, 10, -6, 10],
 [14, -2, -1, -12, -15],
 [-14, 2, 1, 12, 15],
 [-4, -1, -6, 27, 20],
 [6, 1, 7, -33, -25]]

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


[User]
Calculate the rank of matrix A where A =
[[-41, 19, -27, 54, 58],
 [-25, 1, 1, 42, 29],
 [55, -30, 23, -38, -66],
 [-35, 17, -33, 46, 45],
 [-45, 26, -27, 44, 64]]

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


[User]
What is the rank of the matrix:
[[-9, 5, -19, 1, -38],
 [18, -18, 6, 6, 36],
 [-3, 4, 3, -2, -1],
 [3, -8, -19, 6, -19],
 [-18, 18, -6, -6, -36]]?

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [3, 0, 6, 6, 7],
 [-6, -24, -4, 4, 6],
 [-15, -54, -12, 6, 10],
 [3, 0, 6, 6, 7]]?

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


[User]
Calculate the rank of matrix A where A =
[[31, 8, -8, -7, 30],
 [-42, -16, 0, 2, -44],
 [-15, -20, -30, -20, -25],
 [9, 12, 18, 12, 15],
 [20, 20, 26, 17, 29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-49, 41, 7, -40, -1],
 [-21, 3, -3, -15, -7],
 [-37, 49, 5, 1, -3],
 [-11, 19, 3, -35, -9],
 [54, -58, -3, 29, 16]]

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


[User]
Find the rank of the matrix:
[[-10, -12, 26, 7, -30],
 [32, -8, 8, 14, -11],
 [36, -13, -12, -22, -19],
 [-44, 23, 24, 32, 35],
 [7, 2, 2, 6, 5]]

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


[User]
Find the rank of the matrix:
[[-2, 37, 15, 28, -18],
 [32, 60, 49, 34, 2],
 [-28, -6, -23, -2, -30],
 [0, -36, -18, -45, -6],
 [-10, -23, -19, -30, -18]]

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


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

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


[User]
Find the rank of the matrix:
[[1, -18, -5, 6, 2],
 [37, -5, 18, 27, -13],
 [30, 11, 18, -25, -12],
 [18, 18, 15, 6, -9],
 [39, -11, 15, -47, -12]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, 20, 4, 14, 16],
 [-3, -12, -15, -15, -9],
 [11, 8, 31, 21, 5],
 [-5, -2, -13, -8, -1],
 [16, -26, 20, -5, -22]]?

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


[User]
What is the rank of the matrix:
[[12, -30, 50, 6, 18],
 [-3, -12, -8, 56, 16],
 [-12, -28, 12, -32, 8],
 [0, -84, 60, 34, 10],
 [-15, 2, -38, 24, -4]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -14, 10, 31, -12],
 [-1, -6, -18, -9, 4],
 [-24, -58, -19, -4, 0],
 [15, 30, 0, -25, 10],
 [-10, -32, -20, -38, 13]]

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


[User]
Find the rank of the matrix:
[[-20, -30, 0, 36, -17],
 [-2, -8, -22, -5, 12],
 [-14, -36, -42, -3, 10],
 [-26, -58, -18, 3, -23],
 [14, 46, 27, 9, 8]]

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


[User]
Determine the rank of the following matrix:
[[32, 6, 70, 74, -14],
 [39, 0, 41, 36, -13],
 [50, 42, 22, 22, -40],
 [3, -36, 40, 36, 19],
 [21, 0, 9, 4, -7]]

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


[User]
Determine the rank of the following matrix:
[[34, 4, -7, 7, -22],
 [-46, -26, 18, -38, -7],
 [-2, -2, -12, -40, -73],
 [-21, -20, 40, 16, -10],
 [-15, -24, 25, -17, -39]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -14, 2, 18, -14],
 [-29, -34, -31, 49, -50],
 [23, -13, 42, 20, 13],
 [-11, -31, 32, 40, -15],
 [21, 15, 45, -24, 38]]

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


[User]
Determine the rank of the following matrix:
[[-8, 16, -39, -35, 8],
 [32, -13, 7, 27, -1],
 [18, -29, -8, -8, 31],
 [-21, 44, -49, -40, -13],
 [-6, 18, -33, -11, 0]]

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


[User]
Find the rank of the matrix:
[[1, -22, 13, 23, 16],
 [19, -13, 22, 17, 19],
 [-5, -25, 10, 25, 15],
 [-38, -28, -14, 22, 0],
 [29, 10, 17, -5, 8]]

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


[User]
Determine the rank of the following matrix:
[[-21, -41, -32, 32, -24],
 [-3, 17, 24, -24, 8],
 [30, 6, -20, 20, 8],
 [12, 4, -6, 6, 4],
 [-21, -9, 8, -8, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, 12, 10, 0, -24],
 [35, 3, 19, -1, -8],
 [-43, 25, -57, -9, 29],
 [2, 48, -44, -14, 11],
 [8, 38, -34, -12, 13]]

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


[User]
What is the rank of the matrix:
[[-10, -36, 1, -35, -16],
 [-15, -5, -30, 10, -35],
 [-29, 7, -23, -11, 5],
 [53, 33, 29, 60, 8],
 [-44, -2, -39, -19, -10]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 12, -22, 42, 30],
 [-12, 6, -6, -24, -30],
 [8, -4, 4, 16, 20],
 [-6, 12, -18, 6, -6],
 [10, -8, 10, 14, 22]]

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


[User]
Determine the rank of the following matrix:
[[-12, -31, 36, -3, 0],
 [18, -1, -16, -43, -38],
 [-3, -9, 10, -2, -1],
 [-9, 18, -6, 39, 33],
 [18, 49, -56, 7, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[48, 36, 66, -30, -30],
 [-2, 36, 16, -20, -10],
 [12, -36, -6, 18, 6],
 [34, 18, 43, -17, -19],
 [-17, -24, -29, 17, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-48, -58, 14, -76, 6],
 [-33, -43, 20, -59, 2],
 [-12, -10, -44, 33, 16],
 [-62, -43, -53, -38, 9],
 [25, 29, -8, 24, 2]]

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


[User]
What is the rank of the matrix:
[[-6, 0, -19, 26, 15],
 [-11, 37, 36, -15, -33],
 [-16, -77, -10, 30, 36],
 [16, 0, 21, -52, -3],
 [-24, -50, -7, 32, 42]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, -4, 9, 5, -16],
 [46, 8, 18, -25, -15],
 [6, -24, -30, 0, 18],
 [48, 0, 8, -25, -9],
 [25, -16, -23, -15, 17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-21, -3, 23, -10, 12],
 [61, 31, -60, 34, -46],
 [-6, 30, 16, 4, -12],
 [-22, -10, 22, -12, 16],
 [12, -24, -21, 0, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[19, 42, -25, 16, 4],
 [8, -9, -29, -9, -12],
 [-29, -12, 7, -1, 25],
 [23, -6, -13, -8, -28],
 [-8, 6, 34, 8, 10]]

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


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

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


[User]
Find the rank of the matrix:
[[-25, -13, 22, 22, 3],
 [28, -12, -6, -38, -6],
 [-1, -2, -13, 12, 21],
 [-33, 20, 24, 31, -22],
 [12, -21, 12, -27, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[15, 10, -7, -14, 27],
 [13, -4, 5, -34, 35],
 [-18, 20, 30, 28, -2],
 [22, 5, -37, -10, 14],
 [9, -18, 17, -34, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[28, 8, -14, 10, -20],
 [-12, -7, 5, -8, 21],
 [-36, -40, 27, -51, -8],
 [3, -1, -21, 15, -14],
 [-15, 7, 37, -17, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, -22, 56, -16, 51],
 [5, 0, 2, -10, 3],
 [-18, 14, -38, 22, -36],
 [-22, 6, -22, 38, -24],
 [-15, 20, -50, 10, -45]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, 22, 25, -21, 1],
 [-22, 24, -10, -10, 34],
 [9, 48, 15, -42, 45],
 [10, -7, 0, 1, -5],
 [-26, 31, 0, -13, 29]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 6, -28, -26, 20],
 [0, 1, 8, 9, -8],
 [-1, -9, -34, -41, 38],
 [7, 33, -2, 17, -26],
 [-1, -6, -10, -14, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, -22, 22, 14, 2],
 [23, -17, 9, -25, 29],
 [-20, -40, -20, -9, 11],
 [21, 39, 25, 15, -14],
 [6, 30, 14, 19, -19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[33, -13, -8, 28, -22],
 [28, -42, -26, 36, -2],
 [19, -41, -9, 20, -4],
 [13, 11, 29, -8, -30],
 [28, -42, 16, 12, -26]]

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


[User]
Find the rank of the matrix:
[[-8, 3, -56, -10, -80],
 [20, -31, 16, 40, 24],
 [-29, 40, 24, -65, 17],
 [16, 9, 28, 5, 22],
 [29, -9, -7, 37, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[24, -9, -11, 15, -17],
 [10, -10, -15, -25, -5],
 [-20, 8, 10, -10, 14],
 [8, -8, -12, -20, -4],
 [-26, 11, 14, -10, 18]]

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


[User]
Determine the rank of the following matrix:
[[-2, -2, 10, 0, -2],
 [-4, -4, 20, 0, -4],
 [3, 3, -15, 0, 3],
 [-4, -4, 20, 0, -4],
 [1, 1, -5, 0, 1]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -11, -1, 0, 21],
 [18, -16, 7, -9, 12],
 [1, 5, -6, 11, 25],
 [3, -2, 6, -4, 3],
 [-53, 53, -8, 25, -17]]

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


[User]
Determine the rank of the following matrix:
[[46, -6, -36, -12, -8],
 [-1, 9, -1, -5, -8],
 [34, -11, -35, 9, 11],
 [-9, -21, -19, 33, 42],
 [-9, -5, 5, 9, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -52, 23, 40, 5],
 [29, -4, -4, -32, -7],
 [-30, 24, -11, -40, 10],
 [-15, -30, -28, -14, 35],
 [-23, -37, -11, -23, 29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-46, 11, 6, 4, 6],
 [-15, -1, 20, -11, -19],
 [7, 2, -5, -11, -1],
 [-6, 10, -17, 11, 22],
 [2, 1, -5, -14, -2]]

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


[User]
Determine the rank of the following matrix:
[[10, -19, 50, -8, 7],
 [0, -24, 20, -8, 12],
 [0, -18, 15, -6, 9],
 [-4, -38, 18, -12, 20],
 [-12, 18, -56, 8, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-30, -3, 18, -4, 24],
 [-15, 30, -10, -19, -11],
 [-53, -71, -1, -30, 55],
 [-23, 27, 27, 24, -13],
 [-36, 19, 55, 29, 24]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 2, -1, 4, 0],
 [6, -2, 1, -4, 0],
 [-18, 6, -3, 12, 0],
 [-12, 4, -2, 8, 0],
 [30, -10, 5, -20, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -7, 15, -4, -41],
 [-2, -4, 7, -25, -26],
 [10, 5, -20, -25, 15],
 [28, 5, -32, 7, 39],
 [24, -9, -2, 14, 2]]

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


[User]
Determine the rank of the following matrix:
[[-48, -12, -48, 72, 0],
 [28, 22, 38, -42, 5],
 [-40, -4, -36, 60, 2],
 [20, -4, 14, -30, -3],
 [16, 16, 24, -24, 4]]

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


[User]
What is the rank of the matrix:
[[-36, 28, 60, -59, 30],
 [-10, 4, -46, 34, -34],
 [17, -6, -37, 34, -25],
 [-24, 34, 30, -33, 3],
 [-6, 28, -18, 10, -30]]?

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


[User]
Determine the rank of the following matrix:
[[21, 11, 6, -49, -1],
 [-42, -4, -6, 14, -34],
 [30, 2, 4, -6, 26],
 [-39, 1, -4, -9, -41],
 [-12, 7, 1, -34, -26]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -18, 18, 16, 0],
 [-37, -32, -22, -2, 42],
 [18, 18, 18, -12, -18],
 [14, -8, 26, 14, -12],
 [9, 16, 4, -12, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[11, 54, 22, -31, 36],
 [-23, -62, -31, 33, -43],
 [-61, -50, -49, 16, -40],
 [14, 28, 12, -14, 32],
 [-16, 8, -9, -9, 10]]

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


[User]
Determine the rank of the following matrix:
[[14, -64, -31, -2, -12],
 [-16, -2, 8, 24, -32],
 [-1, -26, -4, -30, 16],
 [33, 8, -21, -4, 28],
 [20, -20, -25, 30, -20]]

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


[User]
Find the rank of the matrix:
[[-15, 33, -25, 13, 18],
 [-3, 27, -5, 6, 24],
 [12, -24, 20, -10, -12],
 [3, -33, 5, -7, -30],
 [12, 6, 20, -5, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[48, -33, -38, 2, -11],
 [20, 8, -7, -41, -9],
 [-64, 68, 82, -28, 44],
 [18, -57, -57, 53, -57],
 [14, 2, 6, -18, -5]]

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


[User]
Determine the rank of the following matrix:
[[54, 10, -12, 20, -52],
 [-23, -9, -1, -12, 17],
 [32, 31, -12, 11, -35],
 [-2, -40, -16, 2, 2],
 [37, 17, -20, 46, -8]]

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


[User]
What is the rank of the matrix:
[[-9, -5, -10, 7, -4],
 [12, 2, -10, -14, -32],
 [3, -4, -25, -8, -44],
 [12, 6, 10, -10, 0],
 [27, 12, 15, -24, -12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[23, -24, 2, -25, -38],
 [-32, -16, 7, 16, 59],
 [40, 6, -15, -45, 3],
 [15, 17, -15, -9, 9],
 [-40, -20, 15, 25, 45]]

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


[User]
Find the rank of the matrix:
[[9, 5, -5, -9, 0],
 [32, 0, -20, -42, 20],
 [-14, -22, 6, 6, 16],
 [-14, -6, 8, 15, -2],
 [24, -8, -16, -36, 24]]

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


[User]
Find the rank of the matrix:
[[-19, -7, -21, -3, -27],
 [-9, -11, 4, 27, -32],
 [-18, 7, -32, -36, 1],
 [17, -13, 15, 21, -1],
 [1, -1, -20, -27, 12]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[35, 39, 61, -39, -43],
 [-25, -33, -23, 15, 32],
 [23, 11, 5, 21, 4],
 [-16, -20, 24, -26, 7],
 [-8, 2, 18, -31, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, -6, -1, -22, -4],
 [-12, -4, 4, -3, 2],
 [-36, -12, -6, -54, -12],
 [24, 8, -10, 1, -6],
 [-36, -12, 6, -24, 0]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-16, -12, -4, -20, 24],
 [8, 6, 2, 10, -12],
 [24, 18, 6, 30, -36],
 [-4, -3, -1, -5, 6],
 [8, 6, 2, 10, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[20, -23, -21, 41, 34],
 [-18, 14, -5, -27, 1],
 [30, -31, 61, -3, -17],
 [-46, 19, 3, -34, 7],
 [-6, 5, -10, -18, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[-45, 27, -8, 38, -1],
 [13, -24, -41, 32, -31],
 [20, 7, -4, 16, -49],
 [-45, -24, -33, 6, 39],
 [-11, 23, 5, 22, -12]]

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


[User]
What is the rank of the matrix:
[[6, 16, 54, -16, 44],
 [-16, -9, 9, -52, 59],
 [-4, 21, -45, -36, -27],
 [3, -1, 33, 6, 42],
 [16, 39, 61, -12, 47]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-79, 53, 36, 0, 75],
 [44, -42, 6, 24, -50],
 [17, -3, 4, 48, -5],
 [22, 45, -55, 30, 29],
 [-21, 19, -22, 31, 33]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -2, 2, -10, -6],
 [-3, 1, -1, 5, 3],
 [-6, 2, -2, 10, 6],
 [9, -3, 3, -15, -9],
 [-18, 6, -6, 30, 18]]

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


[User]
Determine the rank of the following matrix:
[[-8, -8, 8, 6, -8],
 [-36, -20, 14, 16, -32],
 [16, 16, -16, -12, 16],
 [60, 12, 6, -12, 48],
 [0, -32, 44, 22, -8]]

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


[User]
What is the rank of the matrix:
[[-27, -27, -17, -12, -12],
 [35, 43, 9, -34, -18],
 [40, 47, 24, -5, -9],
 [-20, -22, 4, 13, -12],
 [-30, -42, -26, -21, 6]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -63, -12, 12, -9],
 [-59, -28, -3, 31, -53],
 [-11, -8, -9, 25, -17],
 [2, 29, -3, 17, -7],
 [55, -11, -3, -29, 52]]

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


[User]
Find the rank of the matrix:
[[-16, -46, 40, -18, 15],
 [0, -24, 16, -8, 12],
 [-12, -18, 19, -8, 3],
 [-20, -50, 45, -20, 15],
 [24, 42, -42, 18, -9]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-54, 8, 41, -18, -38],
 [9, 0, -32, 3, -20],
 [33, -42, -30, 5, 21],
 [6, 16, 8, 6, 15],
 [48, -8, -40, 16, 30]]

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


[User]
Determine the rank of the following matrix:
[[-15, 0, 42, 24, 3],
 [-15, -20, 8, 36, 17],
 [23, 32, -10, -56, -27],
 [-17, -8, 34, 32, 9],
 [-6, -14, -7, 18, 11]]

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


[User]
What is the rank of the matrix:
[[-3, -12, 0, 12, 15],
 [-5, -20, 0, 20, 25],
 [4, 16, 0, -16, -20],
 [-2, -8, 0, 8, 10],
 [1, 4, 0, -4, -5]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[52, 1, -35, -16, -17],
 [-36, 5, 54, 33, 14],
 [-29, 44, 52, 27, 53],
 [-45, 4, 28, 12, 20],
 [39, 62, 23, 9, 49]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, 6, -12, -8, 2],
 [15, -15, 30, 20, -5],
 [3, -3, 6, 4, -1],
 [-3, 3, -6, -4, 1],
 [-12, 12, -24, -16, 4]]?

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


[User]
What is the rank of the matrix:
[[16, 61, 4, 9, -5],
 [-24, 25, -20, -10, -8],
 [14, 36, 24, 14, -9],
 [38, 15, 10, 25, -5],
 [-28, -85, -20, -15, 5]]?

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


[User]
Determine the rank of the following matrix:
[[-6, -14, 6, 36, -18],
 [4, 7, 3, -10, 4],
 [-18, -22, -18, 52, -30],
 [9, -4, 36, 16, -3],
 [8, 4, 24, 8, -4]]

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


[User]
Determine the rank of the following matrix:
[[0, -5, 8, -2, -11],
 [12, -11, 16, -5, -12],
 [29, 41, -37, -38, 15],
 [-2, 10, -21, 8, 40],
 [-60, -39, 39, 27, -38]]

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


[User]
Calculate the rank of matrix A where A =
[[13, -24, -23, 2, -31],
 [7, -21, 7, 5, -7],
 [1, -1, -23, -26, -27],
 [16, -12, -64, -34, -60],
 [0, -14, -16, 0, -30]]

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


[User]
What is the rank of the matrix:
[[-8, 24, -20, -16, -12],
 [6, -18, 15, 12, 9],
 [2, -6, 5, 4, 3],
 [4, -12, 10, 8, 6],
 [-12, 36, -30, -24, -18]]?

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


[User]
Determine the rank of the following matrix:
[[64, -10, 12, 22, -41],
 [-15, -10, 7, -10, 23],
 [9, -16, 13, 32, 32],
 [3, -34, 27, 14, 51],
 [-38, 32, -28, 16, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[20, -24, 8, -12, 24],
 [25, -30, 10, -15, 30],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [15, -18, 6, -9, 18]]

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


[User]
What is the rank of the matrix:
[[1, -48, -20, 28, 5],
 [-12, 33, 57, 13, 14],
 [16, 6, 27, -17, 15],
 [9, 57, -6, 14, -29],
 [9, 81, 20, 0, -23]]?

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


[User]
Determine the rank of the following matrix:
[[-21, 4, 0, -14, -21],
 [4, 0, -60, -9, -32],
 [-54, 42, -20, -41, -24],
 [5, 24, -92, -19, -19],
 [41, -28, 4, 32, 17]]

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


[User]
Find the rank of the matrix:
[[28, -23, -43, 29, -19],
 [-6, 9, -59, 21, -23],
 [-13, 1, 57, -26, 30],
 [42, -40, 8, 10, 0],
 [-13, 24, 12, 3, -1]]

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


[User]
Determine the rank of the following matrix:
[[-58, -46, -15, 7, 29],
 [1, 4, -39, 17, -2],
 [29, 24, 2, 27, -29],
 [-7, -4, -33, -2, 11],
 [35, 44, 2, -20, -16]]

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


[User]
What is the rank of the matrix:
[[8, 24, -16, 0, 0],
 [0, -18, -6, -12, 6],
 [0, 6, 2, 4, -2],
 [-12, -24, 28, 8, -4],
 [0, -15, -5, -10, 5]]?

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


[User]
Find the rank of the matrix:
[[-23, -3, -3, 9, -12],
 [-4, 6, 26, 7, -6],
 [9, 3, -19, -23, 18],
 [12, 9, 18, -9, 9],
 [-8, 1, 18, 13, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[25, -19, 11, 25, -16],
 [18, -13, 8, 41, 1],
 [-8, 40, -2, 2, 19],
 [-27, 15, -3, 41, 49],
 [-18, -84, 23, 18, -7]]

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


[User]
Find the rank of the matrix:
[[-15, -3, 3, 18, 3],
 [-30, -6, 6, 36, 6],
 [-25, -5, 5, 30, 5],
 [-25, -5, 5, 30, 5],
 [25, 5, -5, -30, -5]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[17, 53, 46, -49, -44],
 [28, 9, -2, -7, -9],
 [42, 0, 2, -79, -34],
 [3, 78, 58, 19, -35],
 [15, 60, 42, -6, -29]]

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


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

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


[User]
Find the rank of the matrix:
[[-30, -28, 20, 0, 18],
 [1, 9, -8, -11, -5],
 [-38, -34, 24, -2, 22],
 [25, 5, 0, 25, -5],
 [-30, -28, 20, 0, 18]]

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


[User]
What is the rank of the matrix:
[[3, -20, 6, -6, 6],
 [-18, 8, 40, 2, 0],
 [15, -24, 2, -8, -6],
 [-16, 21, -40, 9, 28],
 [-31, 21, -10, 9, 34]]?

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


[User]
Determine the rank of the following matrix:
[[-28, -6, -30, 24, -12],
 [-10, -30, 6, 29, 18],
 [-16, 3, -21, 9, -12],
 [28, -24, 48, -2, 36],
 [18, 36, 0, -39, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 12, -27, -19, 38],
 [2, -1, 5, 3, -6],
 [18, 31, 10, -8, 16],
 [-10, 5, -25, -15, 30],
 [-4, -30, 18, 22, -44]]

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


[User]
Determine the rank of the following matrix:
[[-23, -42, -17, -21, 27],
 [5, 6, -13, 39, 24],
 [3, 2, -19, 47, 36],
 [20, 60, 40, -15, -10],
 [23, 58, 33, 1, -15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-42, 40, 44, -4, -54],
 [54, -86, -26, 4, 90],
 [18, 14, -26, 18, 4],
 [14, -37, 21, 60, 26],
 [35, -60, -10, 20, 59]]

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


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

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


[User]
What is the rank of the matrix:
[[2, -15, 27, -9, 19],
 [4, 6, -18, 0, -52],
 [4, -20, 19, -18, -39],
 [-2, -29, 31, -23, -13],
 [-24, 10, -29, 8, 41]]?

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


[User]
What is the rank of the matrix:
[[-16, 15, -19, 6, 8],
 [21, -21, 24, -9, -9],
 [33, -27, 42, -9, -21],
 [19, -27, 16, -15, 1],
 [-20, 24, -20, 12, 4]]?

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


[User]
Find the rank of the matrix:
[[-23, 19, -17, -26, 12],
 [25, -20, 20, 25, -10],
 [45, -39, 29, 60, -32],
 [7, -5, 7, 4, 0],
 [5, -1, 11, -10, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, 9, -28, 16, -12],
 [30, -30, -16, 28, 18],
 [32, 12, -67, -2, -26],
 [32, 21, -22, 15, -18],
 [11, 42, 3, -13, -31]]

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


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

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


[User]
Find the rank of the matrix:
[[-24, -13, 16, 3, 1],
 [-13, -3, 4, -9, 9],
 [-36, 42, -16, -6, -20],
 [-21, 24, -12, -18, 3],
 [5, 24, -20, -18, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-30, -34, 2, -50, -22],
 [-9, -12, 9, -1, 1],
 [-3, -3, -9, -2, -10],
 [18, 17, 8, 62, 22],
 [-27, -36, 21, 2, -2]]

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


[User]
Find the rank of the matrix:
[[0, 3, -14, -60, 2],
 [-24, 41, -2, -30, -13],
 [-66, 35, 25, 18, -40],
 [-1, 4, 11, -10, -14],
 [11, 38, 2, -10, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, -12, 40, 31, 30],
 [5, 1, 16, 8, 8],
 [21, 54, -9, -21, -6],
 [-33, -49, 0, 7, -10],
 [21, 32, 9, -2, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, 7, 16, -4, -11],
 [-19, 29, -43, -15, 20],
 [18, -21, -27, -6, 10],
 [6, 36, -27, -6, 17],
 [-17, -5, -20, -57, -19]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, 36, 22, 18, 24],
 [-34, 48, 30, 26, 36],
 [-2, 24, 10, -2, -12],
 [1, 6, 2, -2, -6],
 [-18, 0, 6, 18, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, -1, 50, 11, 28],
 [10, 3, -53, 6, -28],
 [-17, 10, -5, -4, 21],
 [-9, -2, 11, -36, 9],
 [8, -12, -8, 27, -29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -17, 12, 9, 0],
 [12, 1, 10, 11, -28],
 [-15, 10, -17, -16, 26],
 [-6, -18, 2, -2, 28],
 [12, -24, 20, 16, -8]]

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


[User]
Determine the rank of the following matrix:
[[22, -18, 27, 58, -12],
 [22, 12, 16, 12, 20],
 [10, -15, 30, 49, -31],
 [2, 12, 22, 4, -16],
 [1, 6, -19, -22, 28]]

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


[User]
Find the rank of the matrix:
[[26, -2, -7, 22, -15],
 [-32, -4, 0, -12, 12],
 [0, 12, 16, -28, 12],
 [26, -2, -7, 22, -15],
 [36, 0, -6, 24, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -6, 24, -36, -6],
 [0, 0, 0, 0, 0],
 [-4, 2, -8, 12, 2],
 [10, -5, 20, -30, -5],
 [2, -1, 4, -6, -1]]

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


[User]
Determine the rank of the following matrix:
[[-8, 6, -3, -23, 21],
 [-5, -15, 10, 25, 5],
 [-39, -19, -22, -6, -18],
 [61, 50, 30, -4, 3],
 [-4, 19, 11, -20, 25]]

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


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

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


[User]
Determine the rank of the following matrix:
[[45, 10, -39, 0, 9],
 [-16, -4, 22, -18, 3],
 [15, -10, -17, -4, -19],
 [9, -28, -44, 17, -34],
 [15, -34, -61, 32, -49]]

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


[User]
Determine the rank of the following matrix:
[[-10, 2, -12, -2, 0],
 [-15, -21, 26, -3, 24],
 [-10, -22, 32, -2, 24],
 [10, -2, 12, 2, 0],
 [-30, 6, -36, -6, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-50, -22, -23, 33, 36],
 [9, 10, 35, -42, -24],
 [-25, -35, -19, 50, 36],
 [31, 47, -44, -1, -24],
 [-18, 2, 7, -14, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -3, -23, -6, -17],
 [-12, -12, 10, 24, 6],
 [34, 3, 17, -4, -34],
 [-14, 6, -23, -16, 13],
 [40, 9, 24, -10, -26]]

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


[User]
Find the rank of the matrix:
[[5, -3, 21, -11, 14],
 [10, -9, 33, -13, 17],
 [-4, 12, 12, -20, 24],
 [6, -15, -9, 21, -25],
 [-12, 15, -27, 3, -5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 5, -6, 1, -2],
 [-8, 10, -12, 2, -4],
 [20, -25, 30, -5, 10],
 [0, 0, 0, 0, 0],
 [-24, 30, -36, 6, -12]]

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


[User]
Find the rank of the matrix:
[[-41, -27, 29, -18, 9],
 [78, 17, -8, -11, 6],
 [-10, -15, 25, 0, 18],
 [-30, -14, 4, -30, -9],
 [20, 22, -14, 52, 6]]

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


[User]
Determine the rank of the following matrix:
[[-50, 20, 20, -20, -44],
 [35, -13, -14, 12, 31],
 [15, -12, -6, 18, 12],
 [-45, 11, 18, -4, -41],
 [5, 11, -2, -24, 7]]

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


[User]
What is the rank of the matrix:
[[-66, -65, -20, -42, 25],
 [-31, -26, -16, -25, 1],
 [14, 13, 8, 10, 2],
 [-9, -18, 12, 5, 28],
 [34, 30, 20, 26, 5]]?

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


[User]
Determine the rank of the following matrix:
[[30, -5, -30, -25, -30],
 [30, -8, 0, -28, -12],
 [15, 0, -40, -10, -30],
 [-3, 2, -12, 4, -6],
 [18, -5, 2, -17, -6]]

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


[User]
What is the rank of the matrix:
[[-14, 34, -34, 0, -10],
 [14, 46, -6, -35, -15],
 [32, 48, 0, -38, -34],
 [-15, -20, 2, 13, 19],
 [6, 43, -17, -22, -17]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 9, 15, 10, 16],
 [-26, -3, 9, -3, -15],
 [-37, -15, 16, -8, -35],
 [23, 3, -20, 24, 12],
 [-9, 9, 36, 39, 18]]

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


[User]
What is the rank of the matrix:
[[-18, -50, -20, 36, 20],
 [-11, 12, 34, -16, -2],
 [-38, 2, 56, -37, -10],
 [6, -1, -2, 23, 4],
 [19, 9, -2, -5, 28]]?

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


[User]
Find the rank of the matrix:
[[-37, 5, -39, 17, 32],
 [-28, -13, -2, -16, -4],
 [8, 6, 40, -12, -17],
 [-63, 37, -31, 37, 55],
 [27, -29, 13, -23, -20]]

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


[User]
Determine the rank of the following matrix:
[[9, 36, -32, 4, 11],
 [-8, -12, 16, -12, -16],
 [-24, -36, 32, 16, 4],
 [-6, -30, 24, 9, -7],
 [15, 3, -4, -20, -4]]

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


[User]
What is the rank of the matrix:
[[-21, -5, 10, -2, 13],
 [54, -7, -1, 17, -45],
 [3, 4, -5, -11, 8],
 [-59, 6, 3, -15, 46],
 [32, 16, -26, 4, -20]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, 0, -4, -16, -8],
 [-10, 0, -5, -20, -10],
 [2, 0, 1, 4, 2],
 [-10, 0, -5, -20, -10],
 [6, 0, 3, 12, 6]]

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


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

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


[User]
What is the rank of the matrix:
[[-20, 8, 15, 51, -33],
 [17, 3, 25, 45, -16],
 [-8, 24, 32, 23, -21],
 [-28, 28, 36, 53, -43],
 [-24, -8, -28, -23, 5]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -18, 3, 0, 9],
 [-10, 30, -5, 0, -15],
 [10, -30, 5, 0, 15],
 [-8, 24, -4, 0, -12],
 [-10, 30, -5, 0, -15]]

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


[User]
Determine the rank of the following matrix:
[[48, -18, -11, -18, -39],
 [-25, 39, 7, -5, 21],
 [-19, 13, 6, 3, 15],
 [46, -24, 20, -2, -53],
 [14, -35, -12, 2, -8]]

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


[User]
What is the rank of the matrix:
[[10, 7, -10, -21, 13],
 [6, -3, -6, 9, -9],
 [-24, -6, 24, 18, -6],
 [-24, -15, 24, 45, -27],
 [-12, 3, 12, -9, 11]]?

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


[User]
Find the rank of the matrix:
[[11, -4, 18, -45, 3],
 [11, -14, 8, -10, -12],
 [0, 29, -15, -32, 26],
 [16, -8, -24, 18, -18],
 [0, -46, 42, 22, -34]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -38, 11, 18, 19],
 [12, 27, -7, -3, -29],
 [10, 32, -9, -12, -21],
 [6, 15, -4, -3, -14],
 [0, 6, -2, -6, 2]]

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


[User]
What is the rank of the matrix:
[[9, -7, -29, 45, 29],
 [-27, -4, 31, -18, 14],
 [15, 7, -13, 6, -5],
 [-90, -42, 78, -36, 30],
 [54, 34, -34, 0, -30]]?

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


[User]
Determine the rank of the following matrix:
[[-17, 4, 24, 6, 14],
 [18, -17, -21, -2, -15],
 [-6, -33, -24, 8, -18],
 [-26, 42, 39, 3, 42],
 [57, -10, 9, -9, 0]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[6, -12, 2, -22, 16],
 [5, -9, 4, -16, 11],
 [9, -15, 10, -26, 17],
 [-2, -3, -17, -9, 11],
 [0, -6, -14, -14, 14]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[16, 14, 18, -34, 32],
 [-20, -10, -30, 55, -55],
 [-8, 2, -18, 32, -34],
 [24, 42, 6, -16, 6],
 [-12, -15, -9, 18, -15]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-44, -16, -23, -15, 8],
 [-12, 16, 14, -20, -4],
 [-26, -58, 1, -9, 35],
 [-16, -40, 1, -5, 24],
 [-28, 12, 6, -26, -2]]

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


[User]
Determine the rank of the following matrix:
[[36, 18, 30, 42, -24],
 [-20, 30, -6, 28, 18],
 [8, 12, 36, 8, -12],
 [13, 12, 48, 7, -18],
 [13, -19, -9, -12, -8]]

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


[User]
What is the rank of the matrix:
[[21, 6, 10, 3, -14],
 [-54, -20, -10, 2, 30],
 [-37, -10, 9, 4, 19],
 [-19, 2, -6, -8, 16],
 [-33, 38, -44, -56, 54]]?

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


[User]
Find the rank of the matrix:
[[-24, 0, 27, 12, 9],
 [20, -7, -19, -31, 17],
 [-28, 1, 31, 17, 7],
 [8, 2, -10, 2, -10],
 [-24, -6, 30, -6, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, -2, 15, -23, 2],
 [-36, 32, 8, 16, 0],
 [-8, 14, 15, -3, 14],
 [-3, -8, -5, -1, 12],
 [32, -24, -11, 3, -12]]

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


[User]
Determine the rank of the following matrix:
[[-50, -31, 41, -18, -34],
 [14, -2, 0, 16, -4],
 [52, 36, -60, 29, 39],
 [13, 17, -50, 39, 13],
 [10, 1, -51, 53, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 0, 2, -12, 6],
 [-3, 16, 1, -50, 15],
 [3, 24, -1, -60, 15],
 [-36, -40, 0, -5, 9],
 [-3, -26, -5, 44, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -24, 6, -12, -12],
 [24, -37, -3, -29, -15],
 [4, 18, -15, 0, 12],
 [-20, -15, 30, 15, -15],
 [-20, 35, 0, 25, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-56, 35, 35, 12, -31],
 [14, 54, 22, -48, -10],
 [-21, -27, 4, -5, -73],
 [74, -29, -31, -11, 50],
 [8, -6, -22, -29, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 39, -3, -3, 42],
 [1, -1, -5, 1, -4],
 [4, 10, -16, 2, 2],
 [-2, -19, 4, 1, -19],
 [2, -16, -14, 4, -26]]

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


[User]
Determine the rank of the following matrix:
[[-6, -10, -3, -4, -39],
 [-12, 6, 12, 4, 16],
 [16, -18, 27, -21, 12],
 [6, -10, 27, -13, -18],
 [-12, 5, -24, 11, -15]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-44, 48, 3, 18, 64],
 [31, -32, 11, 36, -46],
 [-8, 14, -18, -48, 22],
 [7, -7, -23, 2, -28],
 [-30, 39, 3, -12, 63]]

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


[User]
Determine the rank of the following matrix:
[[-13, -20, 30, 45, -9],
 [25, 20, -38, -55, 7],
 [32, -23, -40, -11, 23],
 [-8, -34, 0, 42, 22],
 [22, 2, 12, -6, -30]]

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


[User]
What is the rank of the matrix:
[[-14, 36, 44, -2, -2],
 [4, 0, -10, -2, -2],
 [2, -12, -8, 2, 2],
 [2, 36, 4, -10, -10],
 [3, -6, -9, 0, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[16, 6, -6, -16, -2],
 [5, -20, 20, -5, 23],
 [-5, -30, 30, 5, 31],
 [-2, -7, 7, 2, 7],
 [-18, -13, 13, 18, 9]]

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


[User]
Find the rank of the matrix:
[[9, -12, 12, 9, 9],
 [12, -16, 16, 12, 12],
 [18, -24, 24, 18, 18],
 [18, -24, 24, 18, 18],
 [6, -8, 8, 6, 6]]

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


[User]
Determine the rank of the following matrix:
[[-6, -4, 3, 1, 5],
 [18, 12, -9, -3, -15],
 [-6, -4, 3, 1, 5],
 [18, 12, -9, -3, -15],
 [-12, -8, 6, 2, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-31, 15, 17, -32, -2],
 [-15, -4, 3, -9, 1],
 [-18, -66, -2, 40, 28],
 [-12, 41, 27, -27, -5],
 [16, 12, -1, 6, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -36, -15, 34, 28],
 [-5, 6, 14, 2, 3],
 [-12, -24, -8, 24, 20],
 [-10, 0, 15, 10, 10],
 [16, 36, 15, -34, -28]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, -12, -52, 4, 14],
 [-32, 34, 10, 8, 28],
 [52, -39, 29, -11, -49],
 [36, -43, -31, -21, -37],
 [-12, 17, 13, -1, 7]]

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


[User]
Determine the rank of the following matrix:
[[36, -28, 29, 3, -29],
 [-17, 25, -14, 10, -5],
 [19, 7, 15, 25, -82],
 [23, -40, 36, -16, 27],
 [-26, 20, -22, -2, 12]]

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


[User]
Determine the rank of the following matrix:
[[5, 10, 4, 9, -6],
 [-8, -13, -6, -13, 6],
 [-11, -16, -8, -17, 6],
 [11, 16, 8, 17, -6],
 [11, -14, 4, 3, 30]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [9, -20, 3, 33, 33],
 [5, -4, -1, 9, 13],
 [3, -12, 3, 18, 15],
 [-18, -8, 12, -3, -30]]?

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


[User]
What is the rank of the matrix:
[[-16, -8, 8, 4, -8],
 [36, 28, -32, -10, 28],
 [-10, 0, -2, 2, 0],
 [14, 22, -28, -5, 22],
 [-17, -16, 19, 5, -16]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-19, -3, -9, -6, -6],
 [-26, -7, -27, 10, -13],
 [-45, -31, -52, 44, 1],
 [-6, -2, -9, 18, -11],
 [16, 17, 11, -19, -11]]

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


[User]
Find the rank of the matrix:
[[32, -20, -21, -20, 0],
 [40, 0, -45, -40, -20],
 [2, 25, -21, -17, -21],
 [-6, -35, 33, 27, 31],
 [-6, 45, -27, -21, -33]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -28, 17, -15, 22],
 [0, 26, -7, 15, -9],
 [-18, 22, -6, -10, 16],
 [15, -9, 8, -10, 11],
 [-12, -19, 4, 5, -2]]

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


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

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


[User]
Find the rank of the matrix:
[[6, -25, -11, -15, -9],
 [2, -25, -7, -15, -13],
 [-2, -15, -1, -9, -11],
 [2, 20, 2, 12, 14],
 [6, -10, -8, -6, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, -3, 12, -9, 0],
 [-14, -13, -14, 9, 12],
 [26, -17, 2, -3, 12],
 [56, -8, 21, -16, 2],
 [-12, 6, -2, 2, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -28, -4, 4, -12],
 [10, 20, -2, 0, 5],
 [-8, 1, -29, 17, -21],
 [-14, -17, -17, 11, -18],
 [-2, 4, -14, 8, -9]]

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


[User]
Determine the rank of the following matrix:
[[-12, 0, -10, 2, -10],
 [-24, 0, -20, 4, -20],
 [30, 0, 25, -5, 25],
 [-18, 0, -15, 3, -15],
 [-36, 0, -30, 6, -30]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-56, -41, 34, 30, -11],
 [-26, -13, 1, -20, 49],
 [-24, -14, 31, 20, -4],
 [24, 25, -10, -30, 43],
 [-41, -27, -1, -15, 42]]

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


[User]
Find the rank of the matrix:
[[-36, -18, 22, -12, 0],
 [0, 0, -14, 24, 18],
 [-32, -16, -10, 40, 38],
 [-10, -5, -11, 26, 22],
 [48, 24, -20, 0, -12]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-4, -4, 16, -20, -20],
 [6, 6, -24, 30, 30],
 [1, 1, -4, 5, 5],
 [6, 6, -24, 30, 30]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, -2, -5, 5, 5],
 [30, 10, 25, -25, -25],
 [18, 6, 15, -15, -15],
 [-36, -12, -30, 30, 30],
 [-6, -2, -5, 5, 5]]

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


[User]
Find the rank of the matrix:
[[35, -5, -5, 6, -5],
 [-20, 0, 10, 8, 0],
 [40, 4, -30, -32, 4],
 [30, 0, -15, -12, 0],
 [-20, -8, 30, 40, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[53, -18, -50, 1, -56],
 [-10, -9, 10, -5, -38],
 [-36, 18, 30, 6, 54],
 [35, -3, -50, 24, -32],
 [-19, 6, 25, -9, 31]]

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


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

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[User]
What is the rank of the matrix:
[[4, 24, 16, 0, 20],
 [-2, -36, -20, 16, -18],
 [-1, -18, -10, 8, -9],
 [-9, -36, -27, -12, -39],
 [-2, 18, 7, -20, 0]]?

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[User]
What is the rank of the matrix:
[[-47, -18, 15, 6, 5],
 [-20, 41, 17, -4, -50],
 [20, 50, -10, 4, -48],
 [25, 62, -1, -6, -59],
 [43, 24, -21, 2, -13]]?

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[User]
Determine the rank of the following matrix:
[[-3, 0, -18, 18, -18],
 [-39, 30, 12, 6, -24],
 [-30, 20, -16, 28, -40],
 [-19, 15, 9, 0, -9],
 [-18, 10, -26, 32, -38]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-21, 18, 21, 18, 0],
 [-27, 14, 15, 10, 0],
 [-2, 20, 26, 28, 0],
 [33, 6, 12, 21, 0],
 [12, 8, 12, 16, 0]]

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[User]
Find the rank of the matrix:
[[-26, 7, 45, -7, 4],
 [18, -12, -27, 0, 3],
 [-12, 18, -14, -42, -48],
 [-2, -16, 14, -10, 15],
 [4, -1, 8, 29, 21]]

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[User]
Find the rank of the matrix:
[[31, -51, 9, 44, -7],
 [2, 47, -24, -40, -20],
 [2, 48, -31, -48, -13],
 [13, 11, -18, -60, 8],
 [-32, 14, 1, -14, 29]]

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[User]
Calculate the rank of matrix A where A =
[[-10, 5, 35, -5, -50],
 [22, 7, -3, 21, -14],
 [12, 13, 15, 17, -40],
 [-33, -5, 6, -28, 14],
 [59, -13, -12, 36, -4]]

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[User]
Calculate the rank of matrix A where A =
[[-45, 25, -20, 50, 15],
 [30, -16, 15, -35, -11],
 [-18, 14, 2, 10, 0],
 [-15, 15, 10, 0, -5],
 [12, -4, 12, -20, -8]]

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[User]
Calculate the rank of matrix A where A =
[[-28, 22, 72, 30, -55],
 [32, -6, 28, -24, 40],
 [0, 17, 70, 0, -10],
 [-20, 36, -4, -24, 0],
 [-10, 12, 10, 0, -10]]

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

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[User]
Calculate the rank of matrix A where A =
[[29, 21, -4, 21, -19],
 [-6, 14, -4, -42, 30],
 [-7, 10, -3, -36, 26],
 [19, 19, -4, 3, -5],
 [33, 37, -8, -3, -3]]

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[User]
What is the rank of the matrix:
[[-32, 39, 5, 27, 0],
 [-3, -1, 23, 4, -21],
 [11, -33, 3, 2, 11],
 [-42, 60, -2, 10, -14],
 [-35, 51, -1, 8, -13]]?

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[User]
What is the rank of the matrix:
[[6, 5, 4, 21, 17],
 [6, 8, 6, 30, 24],
 [-48, 23, 10, 21, 11],
 [12, 4, 4, 24, 20],
 [-24, 10, 4, 6, 2]]?

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[User]
Determine the rank of the following matrix:
[[49, 32, -18, -21, -52],
 [1, 22, -4, -3, 14],
 [-13, -17, 15, 20, -15],
 [41, 23, 10, -21, -35],
 [-64, -25, -2, 48, 35]]

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[User]
Determine the rank of the following matrix:
[[-5, -7, -8, 2, 18],
 [24, 39, -21, -28, -4],
 [-13, -21, 10, 34, -20],
 [18, 31, -35, -16, 10],
 [7, 15, -46, -6, 36]]

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[User]
Determine the rank of the following matrix:
[[10, 6, -56, 6, 36],
 [0, 0, 0, 0, 0],
 [0, -2, 11, 0, -7],
 [-25, 13, -14, -15, 8],
 [-60, 24, 6, -36, -6]]

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[User]
Calculate the rank of matrix A where A =
[[6, -30, 3, -3, 42],
 [-4, 12, 0, 4, -16],
 [6, -18, 0, -6, 24],
 [12, -36, 0, -12, 48],
 [12, 8, -11, -23, -18]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-55, -39, -22, -16, 4],
 [-16, -21, -51, 5, 8],
 [-45, 12, 0, 8, 30],
 [-6, -48, -14, -18, -36],
 [-73, -36, -34, -12, 21]]

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

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

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[User]
Find the rank of the matrix:
[[22, -8, -12, -14, -30],
 [-33, 40, 43, 11, 12],
 [24, -10, 0, -10, -6],
 [1, 12, 11, 3, 4],
 [25, 16, 7, -21, -56]]

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[User]
Compute the rank of the given 5x5 matrix:
[[21, 42, 15, 35, -30],
 [-5, -6, 32, -7, -4],
 [25, 22, -17, 31, -32],
 [37, -12, -7, 56, 36],
 [-6, 36, 3, -3, -23]]

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[User]
Calculate the rank of matrix A where A =
[[-6, 7, -8, 5, 10],
 [-30, 15, 10, -15, 10],
 [36, -26, 8, 2, -28],
 [-30, 15, 10, -15, 10],
 [-36, 24, -3, -6, 24]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-36, 33, 40, -7, 16],
 [23, -28, -33, 19, 10],
 [9, 0, 0, -4, 4],
 [-21, 42, 51, -19, 34],
 [18, -3, -5, -20, -34]]

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[User]
Compute the rank of the given 5x5 matrix:
[[33, 56, -15, -19, -30],
 [-34, -42, 13, -10, -7],
 [-69, -26, 6, -17, -9],
 [41, 4, 1, 3, -4],
 [46, 56, -13, -31, -48]]

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[User]
What is the rank of the matrix:
[[13, 12, -8, 33, 0],
 [58, 18, -2, 15, -12],
 [6, -10, 10, -11, 12],
 [-14, -40, 30, -6, 62],
 [-73, -12, -7, 3, 9]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-14, 8, -4, -15, 22],
 [-16, 12, 4, -5, 8],
 [24, -24, -24, -18, 24],
 [4, 0, 8, 14, -20],
 [-19, 18, 16, 10, -13]]

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[User]
Compute the rank of the given 5x5 matrix:
[[17, -41, -27, 12, -37],
 [-26, -6, 2, 16, -30],
 [-10, 46, 51, -38, 34],
 [0, 5, -35, 31, 32],
 [-6, 33, 6, -1, 46]]

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

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[User]
Find the rank of the matrix:
[[-12, 3, -8, -14, 0],
 [-12, 15, 6, -39, -3],
 [-16, 8, -4, 14, -22],
 [-50, 19, -22, 5, -41],
 [16, 5, 20, -24, 10]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-31, 11, -19, -31, -11],
 [-22, -15, 21, 19, -34],
 [-14, -35, 7, -17, -50],
 [-37, -3, -18, -47, -29],
 [17, -7, 8, -20, 17]]

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[User]
Calculate the rank of matrix A where A =
[[21, 12, -3, -7, -10],
 [-6, -8, 10, 17, -10],
 [-25, -20, 15, 15, 20],
 [15, 8, -1, 0, -15],
 [-5, -8, 11, 10, 5]]

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[User]
Determine the rank of the following matrix:
[[3, 6, 18, 18, 15],
 [23, -18, -30, 14, 11],
 [-17, 17, 39, 8, 3],
 [42, -11, -33, 12, 30],
 [-20, 18, 18, -30, -16]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-38, -3, -10, 22, 13],
 [-17, 50, 46, -49, 11],
 [-11, -27, -31, 13, 34],
 [-29, 4, -5, 7, 5],
 [30, 10, 16, -16, -25]]

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[User]
Determine the rank of the following matrix:
[[10, 9, 25, 22, -9],
 [-12, 10, 10, -4, 6],
 [44, -15, 5, 38, -27],
 [0, 0, 0, 0, 0],
 [2, -6, -10, -4, 0]]

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[User]
Find the rank of the matrix:
[[-22, 27, 44, 1, -23],
 [20, -28, -16, -16, 10],
 [40, -25, -12, -13, 23],
 [48, -16, -19, 12, 31],
 [0, -7, -41, 53, 3]]

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[User]
What is the rank of the matrix:
[[-3, -37, 7, -5, -29],
 [24, 48, 67, 58, 27],
 [-25, -54, -25, -29, 5],
 [38, 77, 54, 54, 19],
 [18, 6, -7, -8, 29]]?

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

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[User]
Compute the rank of the given 5x5 matrix:
[[-14, 19, -26, -34, 20],
 [32, 2, 41, -2, -5],
 [-19, 2, -25, -2, 10],
 [10, 1, 13, 0, 1],
 [1, -21, 8, 30, -31]]

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

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[User]
What is the rank of the matrix:
[[76, 7, 50, 5, 5],
 [-38, -21, 22, -6, -4],
 [58, 4, 42, 1, 3],
 [55, -24, 51, 37, 40],
 [-3, 0, -27, 3, 12]]?

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[User]
Calculate the rank of matrix A where A =
[[-12, -16, 8, -24, -20],
 [-4, -23, -26, -22, -12],
 [4, -17, -34, -8, -3],
 [16, 6, -12, 28, 8],
 [4, 9, 18, 16, -1]]

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

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

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[User]
What is the rank of the matrix:
[[56, 14, 29, -27, -15],
 [29, 5, 11, -22, -12],
 [37, 31, 51, 1, -23],
 [7, -13, -17, -22, 12],
 [-6, -32, -49, -53, 7]]?

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

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[User]
Find the rank of the matrix:
[[13, 11, -3, 16, 21],
 [-19, -2, -12, -17, 13],
 [34, 12, 9, 38, 3],
 [-14, -21, 9, -7, -54],
 [-26, -9, -14, -39, 7]]

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[User]
Find the rank of the matrix:
[[0, -4, -4, 4, -12],
 [-12, -12, 6, -14, -12],
 [28, 16, 4, 28, -28],
 [-32, -29, -32, -12, 11],
 [-4, -5, -20, 8, 7]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-6, -50, -14, -42, 20],
 [-5, -35, -11, -30, 14],
 [-9, 5, -13, -3, -2],
 [14, 10, 22, 18, -4],
 [6, 10, 10, 12, -4]]

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[User]
Find the rank of the matrix:
[[-52, 46, 16, -32, 34],
 [-28, 22, 33, -18, 14],
 [-8, 14, -35, -16, 24],
 [12, -11, -46, 13, -20],
 [16, -15, 31, 13, -6]]

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[User]
Find the rank of the matrix:
[[9, -4, -10, 0, 4],
 [3, -11, -8, 0, 5],
 [14, 26, 0, 0, -6],
 [-15, -3, 12, 0, -3],
 [-35, 22, 42, 0, -18]]

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[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [8, 12, 8, 12, 12],
 [8, 12, 8, 12, 12],
 [-2, -3, -2, -3, -3],
 [2, 3, 2, 3, 3]]

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[User]
Determine the rank of the following matrix:
[[41, 25, -49, -23, 22],
 [16, 24, -8, 0, 8],
 [-13, -15, 17, 21, -16],
 [-2, -12, -5, -3, -2],
 [37, 19, -47, -23, 20]]

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[User]
Determine the rank of the following matrix:
[[-32, -23, 36, -5, 30],
 [7, 22, -1, 19, 2],
 [20, 8, -42, -2, -45],
 [37, 35, -39, 16, -30],
 [7, 28, 15, 27, 27]]

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[User]
Find the rank of the matrix:
[[14, 4, -15, 2, 25],
 [-10, -6, 6, -14, -21],
 [-6, 2, 12, 14, -7],
 [-20, -10, 15, -20, -40],
 [-8, 2, 15, 16, -10]]

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[User]
Compute the rank of the given 5x5 matrix:
[[10, 25, 5, 30, -30],
 [8, 20, 4, 24, -24],
 [12, 30, 6, 36, -36],
 [-12, -30, -6, -36, 36],
 [6, 15, 3, 18, -18]]

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[User]
Find the rank of the matrix:
[[9, -25, 40, -30, 5],
 [-7, -42, -1, 15, -35],
 [29, 47, 10, -26, 34],
 [26, -7, 13, -11, -11],
 [-33, 13, -56, 50, -15]]

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[User]
Calculate the rank of matrix A where A =
[[-5, -7, -2, -3, 2],
 [41, -5, 34, -34, 3],
 [22, -35, 18, -39, 3],
 [36, -26, 28, -42, 2],
 [18, -39, 18, -42, 6]]

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[User]
Determine the rank of the following matrix:
[[9, -15, -12, 3, -3],
 [-15, 25, 20, -5, 5],
 [18, -30, -24, 6, -6],
 [9, -15, -12, 3, -3],
 [0, 0, 0, 0, 0]]

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

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

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[User]
Find the rank of the matrix:
[[29, 9, 3, -35, -1],
 [-16, -8, 2, 22, -20],
 [-10, -26, 2, 46, -22],
 [-48, 4, -13, 33, 50],
 [-12, 2, -2, 6, 6]]

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

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[User]
Calculate the rank of matrix A where A =
[[-15, -37, 12, 32, 32],
 [9, 11, -24, -8, -8],
 [15, 41, -6, -36, -36],
 [-18, -6, 72, 0, 0],
 [6, 14, -6, -12, -12]]

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

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[User]
Determine the rank of the following matrix:
[[19, -22, -5, -16, 15],
 [-50, 56, 16, 26, -21],
 [23, -26, -7, -14, 12],
 [24, -24, -12, 12, -18],
 [6, -8, 0, -14, 15]]

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[User]
What is the rank of the matrix:
[[-60, 36, 30, -36, 45],
 [34, 2, 11, 21, -1],
 [-56, 16, 16, -58, 33],
 [6, -29, -24, 4, 37],
 [-12, 37, 29, 7, -18]]?

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[User]
What is the rank of the matrix:
[[36, -60, 12, 36, -12],
 [-26, 40, 18, -31, 32],
 [8, -12, -8, 10, -12],
 [24, -36, -24, 30, -36],
 [-16, 26, 0, -17, 10]]?

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[User]
Determine the rank of the following matrix:
[[6, 6, 43, 8, 2],
 [-16, -5, 18, -24, -5],
 [-30, 14, 16, 32, 8],
 [-4, -20, -63, -4, -14],
 [-2, 18, -20, 32, 16]]

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[User]
Determine the rank of the following matrix:
[[0, 18, -3, -18, 9],
 [0, -30, 5, 30, -15],
 [0, -12, 2, 12, -6],
 [0, -24, 4, 24, -12],
 [0, -36, 6, 36, -18]]

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[User]
What is the rank of the matrix:
[[16, 8, 16, -24, -20],
 [32, 7, 23, -21, -40],
 [20, 13, 23, -39, -25],
 [0, 0, 0, 0, 0],
 [24, -6, 6, 18, -30]]?

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[User]
Calculate the rank of matrix A where A =
[[18, 27, 33, 30, -24],
 [-38, -6, -36, -26, -6],
 [-50, 2, -24, -4, -22],
 [8, -13, 15, 18, 14],
 [-36, -14, -42, -34, 4]]

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


[User]
Determine the rank of the following matrix:
[[4, 25, 22, 15, 18],
 [40, 20, -10, 12, 42],
 [44, 30, -3, 18, 51],
 [-12, -10, -1, -6, -15],
 [20, 15, 0, 9, 24]]

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[User]
What is the rank of the matrix:
[[40, 14, 4, 42, 3],
 [4, -30, 16, 17, 9],
 [28, 30, -8, 20, -3],
 [-6, 56, 2, 18, -37],
 [-20, -34, 16, -3, 3]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-10, 15, 8, 29, -11],
 [-45, 45, -6, 3, 12],
 [-6, -15, -12, -57, 27],
 [54, 0, -39, -21, 6],
 [-60, -10, 48, 18, -6]]

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[User]
What is the rank of the matrix:
[[30, 18, -36, 36, 6],
 [-5, -3, 6, -6, -1],
 [10, 6, -12, 12, 2],
 [25, 15, -30, 30, 5],
 [15, 9, -18, 18, 3]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-46, -21, 19, -14, -14],
 [-13, 12, 0, 15, 39],
 [-2, 7, 41, -3, 47],
 [45, 5, -1, -4, -22],
 [-35, -23, 55, -26, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-11, -7, -5, 10, 15],
 [-15, 45, -5, -30, -5],
 [-6, 18, -2, -12, -2],
 [14, -2, 6, -4, -14],
 [1, 17, 1, -14, -9]]

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


[User]
What is the rank of the matrix:
[[-23, 24, -10, 35, -14],
 [0, -70, 35, 35, 65],
 [-11, -40, 23, 29, 41],
 [-25, 17, -7, 20, -10],
 [0, 24, -28, 6, -32]]?

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


[User]
What is the rank of the matrix:
[[16, 48, -36, 79, -43],
 [-28, 12, -72, 53, -1],
 [-8, 46, -39, 53, -35],
 [-10, -34, -12, -35, 47],
 [20, -16, 24, -35, 25]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[9, -22, 7, -10, 25],
 [12, -22, 16, -31, 11],
 [12, -8, 8, -6, 34],
 [-18, 64, -22, 46, -28],
 [12, 15, 9, -5, 27]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[32, -41, 19, -14, 13],
 [-12, -30, 30, -36, 24],
 [-20, 5, 5, -10, 5],
 [-30, 24, -6, 0, -3],
 [8, -24, 16, -16, 12]]

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


[User]
Find the rank of the matrix:
[[6, 18, 18, -51, 9],
 [-26, 2, -30, -11, 17],
 [20, 0, 24, 4, -12],
 [-15, -10, -24, 26, 2],
 [-5, 0, -6, -1, 3]]

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[User]
Calculate the rank of matrix A where A =
[[-21, -58, -3, 28, 16],
 [33, 11, 22, -7, 2],
 [15, -3, -42, 15, 45],
 [15, 36, -1, -10, -12],
 [18, -27, -15, 93, -27]]

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


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

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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -19, -10, 24, -26],
 [-2, 5, 38, -8, 22],
 [6, 15, 51, -21, 39],
 [16, 16, 4, -20, 20],
 [-8, -10, -13, 13, -17]]

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[User]
What is the rank of the matrix:
[[-30, 5, 27, -33, 42],
 [-15, 15, -3, -3, 12],
 [-17, -3, 23, -25, 28],
 [-20, 20, -4, -4, 16],
 [18, -38, 30, -18, 0]]?

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[User]
Calculate the rank of matrix A where A =
[[-19, 19, 0, 41, 34],
 [-19, 32, 2, 25, 56],
 [20, -33, 6, -20, -30],
 [-19, 43, -8, 1, 34],
 [4, -1, 12, -2, 38]]

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[User]
What is the rank of the matrix:
[[10, 5, -30, 45, 30],
 [-4, 30, -16, 4, -36],
 [-9, 59, -22, -11, -78],
 [17, -19, -16, 34, 66],
 [18, -1, 16, -58, 30]]?

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


[User]
Find the rank of the matrix:
[[39, 12, -27, 60, 27],
 [-17, 13, 5, -26, -4],
 [-25, -7, -9, -14, 0],
 [12, -3, 1, 12, 1],
 [2, -13, -23, 28, 13]]

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[User]
Calculate the rank of matrix A where A =
[[-23, 15, -17, -11, 1],
 [14, -12, 18, 11, -3],
 [16, -12, 16, 10, -2],
 [1, -3, 7, 4, -2],
 [-10, 12, -22, -13, 5]]

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


[User]
Determine the rank of the following matrix:
[[-58, 46, 16, -4, 38],
 [-20, 20, 12, -20, -14],
 [-14, -1, -8, 18, 21],
 [-15, 6, -6, 30, 57],
 [44, -35, -12, 2, -31]]

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[User]
Calculate the rank of matrix A where A =
[[10, -10, 7, -20, 17],
 [-16, 16, -10, 20, -22],
 [-51, 51, -24, -15, -36],
 [-20, 20, -11, 10, -21],
 [60, -60, 27, 30, 37]]

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


[User]
What is the rank of the matrix:
[[17, 25, 31, -2, -35],
 [-13, -26, -14, 20, 33],
 [25, 23, 62, -10, 8],
 [10, 12, 20, -24, 14],
 [-5, -16, 2, 8, 35]]?

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[User]
What is the rank of the matrix:
[[-1, 7, -7, -8, -5],
 [51, -29, 69, 32, -25],
 [-15, 37, -49, -30, 9],
 [15, 5, 9, -8, -23],
 [-2, 26, -30, -12, 18]]?

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[User]
What is the rank of the matrix:
[[6, -9, 18, -9, -12],
 [33, -2, 44, -27, -36],
 [0, 0, 0, 0, 0],
 [10, 4, 8, -6, -8],
 [10, 23, -14, 3, 4]]?

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


[User]
Determine the rank of the following matrix:
[[16, -16, 12, 0, 12],
 [16, -16, 12, 0, 12],
 [20, -20, 15, 0, 15],
 [12, -12, 9, 0, 9],
 [-8, 8, -6, 0, -6]]

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


[User]
Determine the rank of the following matrix:
[[-50, -17, 29, -24, 12],
 [32, -16, -2, -1, -21],
 [30, -8, -5, -8, -19],
 [53, -34, -1, -31, -53],
 [5, -29, 45, -64, 13]]

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


[User]
What is the rank of the matrix:
[[4, -2, 58, 28, -36],
 [16, 8, 14, 11, -6],
 [62, 10, -24, -7, 54],
 [-30, -18, -6, -12, 0],
 [42, 13, -33, -10, 42]]?

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


[User]
What is the rank of the matrix:
[[-17, -6, -18, 30, 14],
 [1, -18, -30, 18, 2],
 [-3, -24, -42, 30, 6],
 [-22, -7, -22, 38, 18],
 [12, -21, -30, 6, -6]]?

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


[User]
Find the rank of the matrix:
[[-35, -41, 40, 38, -8],
 [40, 53, -42, -43, -3],
 [-30, -8, -4, 6, 2],
 [49, 24, -6, -19, -3],
 [28, 2, 10, -1, -2]]

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[User]
What is the rank of the matrix:
[[8, -60, 4, -28, 26],
 [-29, 33, -30, 13, 11],
 [-15, 41, 4, 13, -32],
 [42, -9, 12, -28, -2],
 [-3, -7, 8, 17, -2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -20, 12, 24, 12],
 [2, 5, -3, -6, 8],
 [-10, -25, 15, 30, 36],
 [8, 20, -12, -24, -12],
 [2, 5, -3, -6, -20]]

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


[User]
What is the rank of the matrix:
[[7, 46, 26, 46, 45],
 [-34, -28, -20, -22, 22],
 [-13, 22, -1, 16, 47],
 [-24, -34, 17, -2, 7],
 [-6, -24, -11, -28, -14]]?

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


[User]
Calculate the rank of matrix A where A =
[[-3, 15, -13, -9, 1],
 [3, -9, 10, -6, -16],
 [-1, 2, -2, 0, 3],
 [-8, 7, -4, -18, 3],
 [8, 5, -2, -12, -33]]

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


[User]
Determine the rank of the following matrix:
[[12, 3, -21, 42, -33],
 [-16, -16, -48, 26, 82],
 [6, -22, 2, -9, -3],
 [0, 34, 28, -10, -34],
 [1, -44, -72, 50, 36]]

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


[User]
What is the rank of the matrix:
[[-7, -26, -22, 0, -27],
 [1, 26, 10, 21, -15],
 [0, 4, -8, 13, -8],
 [2, 24, 12, 15, -6],
 [-9, -26, -6, -13, -31]]?

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


[User]
Calculate the rank of matrix A where A =
[[-20, 25, -5, 20, -5],
 [-4, 5, -1, 4, -1],
 [-8, 10, -2, 8, -2],
 [-16, 20, -4, 16, -4],
 [-8, 10, -2, 8, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 26, -18, -39, 33],
 [-41, 14, 6, 23, -9],
 [21, 52, -20, 23, 44],
 [18, -61, 9, 13, -24],
 [-19, 35, -21, -12, 39]]

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


[User]
What is the rank of the matrix:
[[-27, 42, -47, -52, 26],
 [-12, 9, -20, -17, 33],
 [-6, 60, -23, -19, 74],
 [13, -4, 59, 50, 18],
 [19, 23, 5, 17, 39]]?

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


[User]
Find the rank of the matrix:
[[16, -12, -2, 5, -7],
 [10, 8, 10, -4, -4],
 [-11, -10, 7, -10, 8],
 [-36, -14, 2, -14, 20],
 [33, -47, -36, 33, -18]]

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


[User]
Determine the rank of the following matrix:
[[-18, -48, -58, 50, 1],
 [-25, 14, 39, -55, 2],
 [35, -32, -37, 79, 31],
 [15, -4, 10, 3, -19],
 [-43, 38, 36, -89, -35]]

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


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

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


[User]
What is the rank of the matrix:
[[-16, 12, 9, 35, -27],
 [-24, 0, -1, 41, -33],
 [38, 47, 26, -8, 7],
 [-32, -12, 11, 3, 3],
 [6, 3, -12, 21, -21]]?

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


[User]
Determine the rank of the following matrix:
[[12, -24, 24, 4, 26],
 [1, -7, 13, 1, 2],
 [15, 5, -40, -12, 16],
 [-16, 8, 14, 11, -16],
 [-36, 34, 5, 18, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 5, 44, 8, -15],
 [-24, 1, 28, -6, -6],
 [-13, -14, -12, -3, 9],
 [3, 44, 56, 43, -90],
 [-17, 14, 32, 21, -47]]

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


[User]
What is the rank of the matrix:
[[7, 20, -21, 2, -7],
 [16, -4, -10, -1, -2],
 [35, -9, -10, 19, 0],
 [-32, -4, 20, -16, 4],
 [4, 16, -12, 8, -4]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[7, -7, -15, -4, -2],
 [-5, 1, 25, 4, 10],
 [-22, 24, 40, 12, 2],
 [9, -20, 20, -2, 21],
 [21, -35, 5, -8, 24]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, -15, 57, -30, -34],
 [13, -25, -75, 31, -3],
 [-6, 27, 15, 6, -48],
 [-5, 13, 21, -12, -2],
 [7, 22, -36, 21, 31]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -46, 19, -34, -2],
 [33, 43, 11, 54, 39],
 [6, -9, -9, -2, 4],
 [-7, 13, 14, 4, -4],
 [27, -26, 35, -2, 28]]

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


[User]
Determine the rank of the following matrix:
[[-6, 3, -9, -18, -18],
 [6, -3, 9, 18, 18],
 [8, -4, 12, 24, 24],
 [12, -6, 18, 36, 36],
 [2, -1, 3, 6, 6]]

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


[User]
What is the rank of the matrix:
[[-7, 10, -36, 20, 2],
 [4, -6, -6, 3, 6],
 [40, -47, -66, 26, 35],
 [43, -37, -18, -8, -3],
 [19, -20, -48, 20, 16]]?

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


[User]
Find the rank of the matrix:
[[28, -14, 5, -24, -3],
 [-40, 20, -10, 35, 5],
 [-36, 18, -11, 32, 5],
 [-20, 10, -11, 19, 4],
 [-12, 6, 3, 9, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, 44, -28, -10, 10],
 [45, 22, 16, -40, -24],
 [-36, -62, 36, 21, -10],
 [-9, 9, -4, -9, -8],
 [-43, 10, -30, 21, 7]]

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


[User]
Find the rank of the matrix:
[[28, -35, -27, 30, -35],
 [-17, 10, 9, -24, 10],
 [40, -5, -9, 66, -5],
 [18, 10, 4, 36, 10],
 [-38, 10, 12, -60, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 36, -16, 28, -40],
 [9, -3, 4, 11, -23],
 [38, -3, -18, 24, -21],
 [39, -6, -22, 15, 0],
 [2, -24, 16, -24, 30]]

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


[User]
What is the rank of the matrix:
[[-13, 0, 28, -29, -35],
 [13, -19, -1, 2, -20],
 [26, -12, 7, 18, 34],
 [13, -21, -19, 10, -25],
 [-18, 0, 0, -22, -48]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-37, 12, 1, 8, -9],
 [-36, 6, 18, -30, 18],
 [18, 15, 23, -4, 29],
 [-29, -19, 0, -44, 4],
 [8, -21, 9, -50, 23]]

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


[User]
Calculate the rank of matrix A where A =
[[-40, 22, 5, 42, 28],
 [13, 43, -17, 10, 35],
 [-25, -6, 9, -3, 12],
 [-15, -28, 25, 10, -7],
 [-52, -16, 4, 18, -22]]

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


[User]
What is the rank of the matrix:
[[45, -57, 38, -24, 5],
 [-41, 30, -37, 5, -12],
 [39, -3, 50, -12, 59],
 [0, -9, -1, -25, 15],
 [26, 20, 34, -22, 76]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 49, 12, 62, 44],
 [35, -25, -15, 16, 14],
 [-15, 30, -13, 26, 56],
 [-5, 94, 3, 44, 43],
 [-15, -18, -9, -18, 6]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, -23, 25, -8, 36],
 [-14, 14, -12, 4, -20],
 [47, 17, 32, -18, -12],
 [17, -1, -4, -6, -12],
 [-22, -2, -18, 8, -4]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 41, -10, 21, 27],
 [-59, -1, -5, 4, -9],
 [85, 18, 4, 2, 18],
 [1, 33, -20, -9, -1],
 [-30, -1, -4, -11, -31]]

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


[User]
Find the rank of the matrix:
[[32, 6, -6, 12, 22],
 [-6, 2, 20, -20, 14],
 [-17, -3, 27, -29, 9],
 [-28, 16, 4, -8, -8],
 [-11, 23, -28, 26, -19]]

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


[User]
Find the rank of the matrix:
[[-12, -15, 6, -45, 1],
 [-1, 1, -4, 15, -3],
 [-3, 14, 18, -5, 2],
 [-5, -7, 16, -48, 5],
 [11, -1, -4, 35, -5]]

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