[User]
What is the rank of the matrix:
[[2, 12, -2, 17, 14],
 [18, 2, -10, 8, 2],
 [3, 5, -1, 17, 5],
 [11, -21, -8, -58, -22],
 [-30, 8, 17, 13, 9]]?

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


[User]
Determine the rank of the following matrix:
[[0, -10, -10, -5, -10],
 [-6, 22, 1, 8, 16],
 [0, -10, -10, -5, -10],
 [0, 0, 0, 0, 0],
 [10, -26, 9, -8, -16]]

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


[User]
Find the rank of the matrix:
[[30, 18, 24, -24, -36],
 [27, 14, 23, -19, -31],
 [-18, -2, -20, 4, 16],
 [9, 12, 3, -15, -15],
 [21, 6, 21, -9, -21]]

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


[User]
Determine the rank of the following matrix:
[[-28, 9, -38, -5, -36],
 [-39, 39, 24, -10, 31],
 [8, -10, -7, 11, -10],
 [34, -23, 19, 26, 12],
 [-30, 18, -21, -17, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -23, -4, 22, 1],
 [19, -19, -8, 20, 5],
 [-30, 6, 48, -24, -42],
 [17, -11, -16, 16, 13],
 [19, 0, -36, 14, 32]]

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


[User]
Determine the rank of the following matrix:
[[-12, -19, 20, 32, 52],
 [-24, -8, 38, 2, -10],
 [-2, 26, -14, -44, 34],
 [2, 9, 8, -20, 24],
 [-30, 12, 34, -35, -6]]

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


[User]
Find the rank of the matrix:
[[10, -2, -46, -66, -5],
 [18, 4, -22, 14, -19],
 [-18, -24, 68, 60, 16],
 [-25, 29, 20, 14, 11],
 [27, -26, 31, 56, 3]]

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


[User]
Find the rank of the matrix:
[[17, 0, 18, -38, -18],
 [6, 3, 15, -31, -5],
 [-7, -3, -7, -3, -3],
 [26, 18, 44, -22, 16],
 [-15, -15, -27, -7, -23]]

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


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

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


[User]
Determine the rank of the following matrix:
[[17, -17, -12, 11, 17],
 [-9, 9, -48, 37, -9],
 [-6, 6, 12, -10, -6],
 [30, -30, -27, 24, 30],
 [7, -7, -3, 3, 7]]

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


[User]
Determine the rank of the following matrix:
[[19, -3, 12, -8, 13],
 [13, -2, 19, -14, 16],
 [-39, 18, -15, -30, 12],
 [2, 17, -45, -22, 19],
 [39, 9, -30, -24, 33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, 6, -14, 2, -11],
 [15, -21, 18, -21, 9],
 [34, 2, -24, -6, -12],
 [24, -24, 4, -32, -8],
 [23, -9, 12, -5, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, 6, -30, 12, 15],
 [28, -2, 30, -4, 10],
 [-4, -2, -2, -4, -14],
 [-10, 5, -15, 10, 20],
 [24, 0, 24, 0, 18]]

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


[User]
Find the rank of the matrix:
[[0, -1, -7, -4, 3],
 [-20, -11, 12, 0, -34],
 [-3, -16, -9, 15, -4],
 [-17, -8, 6, -17, -9],
 [-4, -16, -4, 3, 15]]

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


[User]
Find the rank of the matrix:
[[24, -25, 3, 19, -26],
 [-25, 30, 0, -25, 30],
 [-21, 10, -12, -1, 14],
 [-5, -13, -15, 20, -8],
 [-10, 31, 15, -35, 26]]

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


[User]
What is the rank of the matrix:
[[-12, -38, -14, 4, 26],
 [14, -17, 27, -46, -29],
 [-6, -10, 1, -4, 9],
 [-30, -13, -11, 17, 48],
 [12, 16, 14, -14, -24]]?

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


[User]
Determine the rank of the following matrix:
[[-25, 0, 15, 0, -5],
 [-10, 0, 6, 0, -2],
 [-31, 30, 45, -36, -23],
 [19, 30, 15, -36, -13],
 [17, 15, 3, -18, -5]]

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


[User]
Find the rank of the matrix:
[[20, -18, -46, 0, -14],
 [1, 31, 30, 36, 1],
 [-11, 5, -1, -19, 9],
 [5, 33, 17, 45, -11],
 [-11, 43, -4, 2, 9]]

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


[User]
What is the rank of the matrix:
[[-16, 20, -20, 24, 16],
 [0, 0, 0, 0, 0],
 [-8, 10, -10, 12, 8],
 [4, -5, 5, -6, -4],
 [20, -25, 25, -30, -20]]?

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


[User]
What is the rank of the matrix:
[[-34, -14, 7, -26, -10],
 [-38, -13, 5, -31, -11],
 [34, 26, -8, 18, -4],
 [34, 17, -22, 23, 25],
 [0, 0, 0, 0, 0]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[44, -29, 34, 23, 25],
 [-30, 18, -1, 7, 9],
 [56, 21, 9, -32, -1],
 [-22, -45, -13, 18, -11],
 [0, -12, -34, -22, -52]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -26, 43, -19, -16],
 [-21, 14, -4, 10, -24],
 [-5, -24, 30, 7, -25],
 [-14, 16, -5, 6, -7],
 [-4, -22, 32, -24, -14]]

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


[User]
What is the rank of the matrix:
[[0, -4, 4, -8, 24],
 [12, 9, 19, -2, -54],
 [-15, -10, -25, 5, 60],
 [3, 3, 4, 1, -18],
 [3, -3, 10, -11, 18]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 3, 30, -6, -6],
 [-6, -21, 6, 5, 3],
 [-15, -13, -34, -46, 42],
 [-3, -23, 34, 18, -12],
 [8, -4, 20, 43, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-55, -44, 0, 48, 14],
 [-60, -15, -29, 22, 5],
 [26, -3, 9, -2, -11],
 [-24, -5, -13, 10, -1],
 [-14, 15, -18, -10, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 14, 14, -25, -9],
 [5, -9, -18, 28, 7],
 [4, -51, -6, -5, 17],
 [-18, -48, -48, -30, 0],
 [10, 18, 36, 4, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[5, -4, -7, -4, 2],
 [-20, 22, 22, 10, -11],
 [20, -28, -16, -4, 14],
 [15, -6, -27, -18, 3],
 [-10, 18, 4, -2, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 43, -45, -3, -42],
 [47, 51, -12, 25, -6],
 [5, -21, 24, 3, 26],
 [34, 32, -9, 15, -4],
 [17, -7, 16, 9, -18]]

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


[User]
What is the rank of the matrix:
[[4, 2, 3, 18, 10],
 [-9, 24, -2, -12, 6],
 [-14, 20, -6, -36, -8],
 [-21, 36, -8, -48, -6],
 [8, -8, 4, 24, 8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-23, -7, 0, 29, -25],
 [-5, 19, -15, -6, 3],
 [-18, -21, 11, 22, -17],
 [-51, -58, 82, 33, -51],
 [19, -26, 27, -18, 17]]

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


[User]
Find the rank of the matrix:
[[-51, -8, 17, 26, -37],
 [-23, 2, -1, 0, -15],
 [-41, 3, -8, 0, -28],
 [11, -3, 26, 8, 10],
 [-4, -14, -50, 18, -18]]

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


[User]
What is the rank of the matrix:
[[0, -6, -12, 6, 10],
 [5, -20, 20, -30, 10],
 [-1, -2, -16, 12, 8],
 [0, 0, 0, 0, 0],
 [4, -10, 28, -30, -2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, 28, 12, 0, 20],
 [16, -13, 6, -3, -23],
 [-15, 17, 15, -2, 3],
 [-16, 20, 24, -4, -4],
 [30, -34, -30, 4, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[4, -44, -10, 2, 24],
 [21, 28, 3, -4, -3],
 [20, -17, -3, -10, 25],
 [-1, 6, -16, 27, 31],
 [14, 18, -8, 12, 21]]?

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


[User]
Find the rank of the matrix:
[[-44, -18, 58, -36, 13],
 [26, -31, -8, 20, 7],
 [-26, 11, 26, -16, -28],
 [2, 21, -18, 0, 6],
 [-12, 12, 2, -12, 14]]

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


[User]
Find the rank of the matrix:
[[-28, 19, -7, 20, -28],
 [-8, -10, 12, 26, -35],
 [21, -12, 18, -15, -15],
 [-8, -4, -4, 16, 4],
 [-73, 55, -43, 41, -10]]

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


[User]
Find the rank of the matrix:
[[18, 10, -32, -2, -6],
 [-14, 17, 6, -25, -3],
 [0, -8, -16, 30, 28],
 [10, -40, 23, 50, -1],
 [-12, -12, 31, 19, -11]]

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


[User]
Find the rank of the matrix:
[[-28, -28, -20, -2, -25],
 [6, 33, -15, -15, -12],
 [28, 28, 20, 2, 25],
 [-28, 0, -40, -18, -43],
 [-40, -24, -40, -12, -46]]

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


[User]
Determine the rank of the following matrix:
[[13, 20, -7, -11, -16],
 [6, -2, -19, -3, -35],
 [-9, -25, -11, 9, -19],
 [-3, -23, -22, 14, -10],
 [5, 13, 4, -8, -4]]

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


[User]
Determine the rank of the following matrix:
[[4, -4, -22, -25, 0],
 [5, 2, -10, -5, 7],
 [-3, -10, -16, -30, -13],
 [-6, -8, -2, -15, -14],
 [-3, -10, -16, -30, -13]]

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


[User]
Determine the rank of the following matrix:
[[-9, -18, -1, 57, 26],
 [-6, -13, -6, 51, 25],
 [15, 32, -49, 9, 21],
 [-24, 13, 16, 9, 0],
 [11, 27, -13, -48, -17]]

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


[User]
Find the rank of the matrix:
[[-6, -15, -9, -6, 15],
 [-10, -25, -15, -10, 25],
 [-18, -23, -17, -10, 37],
 [14, -20, -4, -6, -15],
 [-16, -18, -14, -8, 32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, -18, 21, -3, 6],
 [-2, 30, -22, -8, 3],
 [-6, -36, 18, 18, -12],
 [-8, 12, -16, 4, -6],
 [-7, 6, -11, 5, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -30, 20, -3, 46],
 [24, 8, 20, 20, 35],
 [12, 6, 4, 3, -19],
 [-14, -54, 13, -24, 32],
 [74, 56, 35, 53, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-26, 16, -9, 26, 5],
 [-23, 65, 22, 57, 11],
 [-2, -12, -60, -20, -58],
 [-12, 20, 13, 18, 9],
 [-21, 20, -19, 30, -3]]

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


[User]
Determine the rank of the following matrix:
[[8, 2, -12, -12, -23],
 [7, -24, 19, -19, -21],
 [-13, 18, -13, 31, 54],
 [3, 32, -17, -7, -53],
 [-10, 52, -22, 19, -19]]

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


[User]
What is the rank of the matrix:
[[-10, 2, 6, 15, 34],
 [8, 0, -2, -7, -18],
 [24, 8, 8, 4, -8],
 [25, 15, 20, 25, 30],
 [7, 9, 14, 22, 36]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-26, 64, 30, 16, -10],
 [17, 4, -1, 26, -9],
 [-13, 16, 51, -10, -13],
 [-2, -8, -44, -23, 10],
 [6, 16, -52, -7, -2]]

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


[User]
What is the rank of the matrix:
[[40, 4, 58, -15, 20],
 [-10, -4, -32, 12, -22],
 [67, -5, 20, -33, -15],
 [21, 3, 40, 9, 7],
 [-20, 4, 2, -27, 32]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-52, 30, 9, 66, 43],
 [38, -53, 5, -4, -3],
 [1, -16, -9, 23, 22],
 [8, -54, 9, 18, -29],
 [-18, 11, -15, 20, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, -18, 20, 8, -21],
 [10, -6, 8, -38, 38],
 [60, 36, -20, 22, -39],
 [-10, 12, -20, 24, -8],
 [-21, -6, 2, 22, -21]]

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


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

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


[User]
Find the rank of the matrix:
[[30, 45, -36, -27, -33],
 [30, 50, -35, -35, -25],
 [8, 15, -9, -12, -4],
 [10, 5, -14, 7, -27],
 [-24, -40, 28, 28, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -7, 12, -3, -26],
 [8, 26, 14, -14, -14],
 [12, -33, -39, 3, 15],
 [3, 3, 1, -5, -7],
 [8, -4, 0, -20, -40]]

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


[User]
Find the rank of the matrix:
[[16, 40, 16, -8, 8],
 [-10, -10, 20, 32, 28],
 [-13, -25, 2, 20, 10],
 [-8, -30, -28, -14, -26],
 [16, 40, 16, -8, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[47, 21, -34, 1, 35],
 [16, 4, -40, 0, -2],
 [2, 35, 13, -42, -25],
 [18, 46, -20, -50, -30],
 [27, 33, -22, -27, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -9, -15, -3, 9],
 [-23, -20, -52, 0, -32],
 [12, 20, 10, -18, -4],
 [-31, -45, -28, 46, -15],
 [7, 19, -3, -19, -23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, -56, -19, 55, -12],
 [24, 19, 12, -12, 6],
 [28, 10, 51, -13, 20],
 [-26, 1, -27, -1, -10],
 [25, -15, -28, 25, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 13, -27, 33, -22],
 [42, 49, -27, -20, 23],
 [14, -20, 9, 8, -22],
 [27, 12, 8, -54, 23],
 [-18, 17, -19, -22, 9]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, -50, -25, 40, -3],
 [-6, -30, -30, 30, -12],
 [25, -5, 20, -5, 15],
 [4, 20, 20, -20, 8],
 [-26, 0, -25, 10, -17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -27, -23, 7, -7],
 [15, -3, 27, -15, -18],
 [16, -5, 9, -13, -15],
 [1, -7, -7, -1, -4],
 [-9, -2, 8, 4, 1]]

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


[User]
Find the rank of the matrix:
[[-49, 14, -33, -19, 3],
 [15, 34, 9, 11, 29],
 [-28, -8, -21, -24, -11],
 [-33, 6, -14, 21, 0],
 [5, -18, 7, 13, -13]]

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


[User]
What is the rank of the matrix:
[[-47, 2, -1, -4, 32],
 [-10, -36, -46, 28, -20],
 [-15, 6, 45, -21, 9],
 [-17, -12, 60, -22, -8],
 [-2, 10, -35, 11, 15]]?

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


[User]
What is the rank of the matrix:
[[-33, 32, 5, -9, 18],
 [-9, 0, 13, 15, 34],
 [24, -23, -4, 6, -14],
 [3, 5, -11, -15, -28],
 [-42, 41, 6, -12, 22]]?

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -5, -5, -10, -25],
 [2, 2, 2, 4, 10],
 [1, 1, 1, 2, 5],
 [1, 1, 1, 2, 5],
 [-5, -5, -5, -10, -25]]

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


[User]
Find the rank of the matrix:
[[-14, 17, -4, 25, 7],
 [-20, 48, -22, 17, 2],
 [10, -4, 19, -25, -9],
 [8, -18, -24, 37, 37],
 [14, -22, 43, -29, -13]]

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


[User]
Find the rank of the matrix:
[[3, 7, -69, 8, -35],
 [31, -64, 16, -11, -5],
 [-17, 38, -61, -3, -27],
 [-19, 47, -24, 16, -3],
 [-2, -13, 6, -29, -2]]

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


[User]
Determine the rank of the following matrix:
[[13, 4, 25, -8, 30],
 [0, -50, 7, -13, -54],
 [14, 24, 22, 16, 20],
 [1, 4, 1, 4, 0],
 [-22, 20, -44, 2, 10]]

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


[User]
Find the rank of the matrix:
[[-12, 21, 53, 38, 7],
 [1, 0, -11, -3, 33],
 [29, -1, 33, 6, -23],
 [26, 11, 43, 22, 45],
 [-32, 45, 8, 45, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 25, 12, -11, -8],
 [12, -36, -24, -18, 42],
 [-28, 30, 15, -17, -4],
 [33, -39, -28, -13, 29],
 [-56, 19, 8, -44, 47]]

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


[User]
Determine the rank of the following matrix:
[[-22, -34, -16, 19, 8],
 [14, 26, 8, -14, -4],
 [0, 16, -8, -7, 4],
 [9, 3, 12, -3, -6],
 [-12, -4, -16, 4, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[26, -27, -7, 12, 11],
 [-14, 17, 9, -4, -5],
 [-2, 15, 28, 12, 4],
 [-6, 13, 16, 4, 0],
 [18, -31, -31, -4, 3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, 35, -37, -22, -48],
 [3, -6, 6, 36, -21],
 [-15, -34, -14, 10, 1],
 [19, 35, 19, -4, 22],
 [2, -7, 9, 6, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, -44, 24, 1, -23],
 [-7, 21, -47, -26, 24],
 [-11, -58, 50, -33, -15],
 [-39, 25, -59, -66, 47],
 [-12, -30, 66, 58, -26]]

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


[User]
Find the rank of the matrix:
[[4, 23, 1, 21, 1],
 [-9, 3, -39, 6, -3],
 [12, 21, 51, 15, 11],
 [16, 61, 11, 55, -2],
 [-4, -47, 23, -45, 3]]

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


[User]
Find the rank of the matrix:
[[-5, 1, -8, 11, 0],
 [20, -15, -50, -4, -19],
 [9, 6, -7, -8, 16],
 [-35, 18, -7, -35, 13],
 [-43, 1, 11, 34, -19]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, 0, -23, -6, 11],
 [32, 23, 33, 4, -42],
 [22, 41, -17, -16, 6],
 [-58, -23, -23, 4, 28],
 [23, 15, -13, -10, 6]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[30, 12, 48, -21, -15],
 [-43, 1, -55, 30, 8],
 [-26, 54, 14, 28, -32],
 [-5, 47, 19, -12, -38],
 [33, -61, 5, -10, 42]]

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


[User]
Determine the rank of the following matrix:
[[8, 44, 1, 2, 30],
 [-25, -50, -13, 9, -33],
 [-16, 13, 35, 7, 37],
 [-20, -9, 39, 15, 4],
 [13, 23, -41, 2, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 23, -4, 1, -6],
 [18, -51, -40, -11, 0],
 [-14, -18, 13, 8, -32],
 [14, 17, 7, -23, -32],
 [-25, -60, 2, 5, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-52, 7, -36, -19, -34],
 [-6, 20, 6, 16, -15],
 [54, -3, 42, 30, 15],
 [-18, -28, -30, -39, 19],
 [-24, -13, -18, 3, 22]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -12, -12, -12, -12],
 [12, 32, 20, 20, 48],
 [21, 42, 33, 33, 54],
 [1, 12, 3, 3, 24],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[8, 18, 22, 19, 17],
 [17, -7, 38, -11, 14],
 [5, -9, 18, -13, 0],
 [-22, 1, 5, 15, -10],
 [-11, 32, 11, 17, -9]]?

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


[User]
Determine the rank of the following matrix:
[[0, -30, 7, -24, -31],
 [3, -1, -5, -2, -3],
 [3, -18, -6, -15, -21],
 [3, 8, -22, 7, 5],
 [23, -16, 5, -27, -28]]

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


[User]
Determine the rank of the following matrix:
[[0, -39, -11, 2, -29],
 [16, -45, 21, 20, -66],
 [17, -29, -33, -12, 8],
 [-19, 64, 8, -18, 55],
 [-17, 21, 47, 18, -31]]

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


[User]
Calculate the rank of matrix A where A =
[[16, -10, 20, 1, -31],
 [-12, 23, -16, 3, 14],
 [-10, -7, -1, 27, 45],
 [-2, 5, 4, 15, 3],
 [4, -4, 10, 8, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 4, -1, 5, 2],
 [5, -4, 4, -1, -4],
 [48, -24, 42, 18, -36],
 [-12, 0, -12, -16, 8],
 [-16, 8, -14, -6, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-20, -14, -10, -13, 3],
 [44, 30, 6, 22, 18],
 [-42, -41, 7, -13, -27],
 [28, 32, -11, 5, 24],
 [-30, -27, -5, -14, -6]]

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


[User]
What is the rank of the matrix:
[[-40, 20, 9, 29, -11],
 [-11, 20, 28, 6, -20],
 [-34, 28, -21, 40, 16],
 [-25, 36, 42, 16, -30],
 [0, 20, 27, 2, -18]]?

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


[User]
Find the rank of the matrix:
[[-24, 22, -18, -24, -61],
 [57, -36, 24, -48, 18],
 [-23, 13, -6, -5, -29],
 [10, -10, 10, -12, 5],
 [-30, 38, -40, -2, -64]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -2, 23, -9, -11],
 [21, -22, -15, -12, -18],
 [46, -24, -60, 14, 0],
 [2, 8, -3, 39, 9],
 [6, -9, 51, -75, -60]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 66, -3, -16, -19],
 [-2, -54, -32, 18, 54],
 [0, -36, 38, -32, -6],
 [-2, 14, 9, -44, 9],
 [20, -60, 17, -14, 13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 2, 7, 24, -5],
 [28, 22, -25, -42, 30],
 [-4, 20, -8, 6, 15],
 [12, -24, 6, -18, -15],
 [-24, 0, 12, 36, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, -17, -25, -66, 51],
 [10, 10, 0, 30, -30],
 [10, 8, 10, 30, -24],
 [12, 6, 30, 36, -18],
 [-18, -14, -20, -54, 42]]

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


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

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


[User]
Find the rank of the matrix:
[[-18, 45, -48, 42, -3],
 [10, -33, 38, -32, 5],
 [-10, 45, -55, 45, -10],
 [2, -21, 28, -22, 7],
 [-14, -9, 25, -15, 16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, -12, 32, -6, 42],
 [6, 18, -2, 32, 6],
 [6, 18, -34, 16, -42],
 [5, 15, -19, 18, -21],
 [0, 0, 12, 6, 18]]

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


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

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


[User]
Find the rank of the matrix:
[[24, -6, 36, 0, 12],
 [-4, -19, 9, -20, 3],
 [4, 3, 3, 4, 1],
 [0, 4, -3, 4, -1],
 [-24, -2, -30, -8, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -28, 9, -16, 0],
 [-3, 4, -2, 3, 1],
 [-12, 40, 10, 0, -32],
 [-6, -16, -22, 18, 38],
 [0, 12, 9, -6, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -30, 11, 16, -15],
 [18, 60, -4, -14, 30],
 [38, 24, 38, 34, 12],
 [-40, -12, -46, -44, -6],
 [-16, -30, -7, -2, -15]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, 32, 10, -18, 4],
 [26, -44, -16, 2, -26],
 [2, 16, 14, -10, -26],
 [0, 22, 31, 22, -28],
 [19, -30, -4, 15, -22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -16, -11, 45, 21],
 [-10, -5, 0, -10, -45],
 [3, 3, 1, -1, 12],
 [2, 13, 8, -30, -3],
 [-3, -12, -7, 25, -3]]

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


[User]
Determine the rank of the following matrix:
[[8, -26, 53, -18, -27],
 [66, 18, 12, 12, 12],
 [6, 12, 6, 18, 18],
 [6, 32, -35, 30, 37],
 [-27, -28, 43, -15, -23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[66, -26, -10, 18, 36],
 [45, 1, -19, 13, 23],
 [-11, 2, 17, -34, -49],
 [0, -10, 2, 12, 25],
 [-12, -17, 21, -13, -10]]

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


[User]
Find the rank of the matrix:
[[-26, -22, -56, -20, -3],
 [-27, -18, -42, -3, 9],
 [15, 0, -10, -35, -30],
 [21, 18, 46, 17, 3],
 [-17, -10, -22, 3, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-10, 6, 4, -4, -18],
 [-19, -12, 18, 26, -9],
 [9, 15, 20, -42, -24],
 [-10, 5, -52, 32, -6],
 [7, 27, -28, -26, -48]]

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


[User]
Determine the rank of the following matrix:
[[-33, -10, -40, -42, 38],
 [42, 28, 28, 28, -60],
 [0, -3, 0, -1, 7],
 [42, 30, 14, 10, -50],
 [-6, -28, 50, 60, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, 62, 25, 10, 2],
 [32, 5, -35, 15, 9],
 [2, -31, -12, -9, 3],
 [-5, -21, -24, 1, 39],
 [30, -18, -39, 14, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[20, 24, -42, 55, 26],
 [33, -8, -49, 61, 31],
 [18, -68, 6, -12, -2],
 [3, -66, 15, -27, -9],
 [-8, -2, -6, 2, 2]]

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


[User]
Find the rank of the matrix:
[[40, 5, 35, 35, 5],
 [12, -5, 9, 15, 11],
 [-28, -36, -32, -2, 44],
 [14, 18, 16, 1, -22],
 [-48, -6, -42, -42, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, -43, 5, -19, -17],
 [71, -24, 32, -17, -8],
 [-16, 16, -24, -8, 16],
 [1, -6, -18, -1, -2],
 [-32, -29, -49, 15, -23]]

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


[User]
Determine the rank of the following matrix:
[[-3, -2, 3, -7, 10],
 [5, -10, -15, 29, -24],
 [42, 46, 43, 20, -17],
 [-19, -27, -11, -11, 25],
 [-8, 19, 18, -44, 27]]

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


[User]
Calculate the rank of matrix A where A =
[[31, 3, -17, -45, -52],
 [-20, 0, -8, -48, -28],
 [39, -3, -7, 5, -19],
 [3, -21, -17, -53, -56],
 [-13, 41, 13, 17, 43]]

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


[User]
Find the rank of the matrix:
[[26, -8, -31, -30, -14],
 [1, 24, 4, -25, -16],
 [13, 8, -10, 5, -5],
 [11, 16, -9, 7, -9],
 [20, -26, -26, -9, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[-1, 2, 3, -5, 4],
 [2, -4, -6, 10, -8],
 [2, -4, -6, 10, -8],
 [3, -6, -9, 15, -12],
 [-4, 8, 12, -20, 16]]

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


[User]
Determine the rank of the following matrix:
[[8, 3, 17, 9, 38],
 [-16, 24, -14, 47, -31],
 [-8, -7, 37, -26, 31],
 [8, 11, 11, 28, 35],
 [-16, 2, 28, -9, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[25, 1, 16, -19, -30],
 [-15, 3, -2, 23, 16],
 [35, -11, 14, -31, 20],
 [13, -1, 16, 7, 19],
 [-24, -1, -17, 15, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -21, 10, -19, 0],
 [-8, -10, -4, 10, -12],
 [-22, -20, 37, -49, 4],
 [-8, 8, 44, -56, 18],
 [-54, -60, 13, 5, -51]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -10, -28, 12, -9],
 [-43, 2, -8, -18, -13],
 [-44, -42, -56, 44, -17],
 [-9, 48, 24, -66, -6],
 [-24, 30, 12, -48, -9]]

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


[User]
Find the rank of the matrix:
[[2, 12, -18, 11, -3],
 [-14, 10, 24, 6, 29],
 [-10, 17, 6, 13, 21],
 [8, 9, -6, 9, 14],
 [-8, 15, -12, 12, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 0, -14, -2, 14],
 [-4, 9, 8, -13, -26],
 [-4, 0, -28, -4, 28],
 [-2, 1, -10, -3, 8],
 [-6, 6, -18, -12, 6]]

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


[User]
Determine the rank of the following matrix:
[[-40, 8, 28, -34, 44],
 [7, -9, 29, 8, 7],
 [6, 15, -45, 49, -22],
 [-3, 25, -48, 3, -10],
 [-12, -14, 15, 9, 5]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[40, 12, -50, 26, 50],
 [-35, -27, 7, -4, -24],
 [20, 27, 7, -37, 1],
 [6, 6, -5, -13, 3],
 [10, 3, -19, -5, 13]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-1, -4, -5, -5, -2],
 [-5, -20, -25, -25, -10],
 [-3, -12, -15, -15, -6],
 [-1, -4, -5, -5, -2]]

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


[User]
What is the rank of the matrix:
[[4, 0, -20, 24, -16],
 [-2, 0, 10, -12, 8],
 [-3, 0, 15, -18, 12],
 [6, 0, -30, 36, -24],
 [1, 0, -5, 6, -4]]?

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


[User]
Find the rank of the matrix:
[[-8, -2, 8, 17, -14],
 [-6, -4, 6, 9, -13],
 [-6, -14, 6, -6, -23],
 [-8, -16, 8, -4, -28],
 [0, -8, 0, -12, -8]]

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


[User]
What is the rank of the matrix:
[[-24, 24, 18, -30, 0],
 [-20, 20, 15, -25, 0],
 [4, -4, -3, 5, 0],
 [20, -20, -15, 25, 0],
 [12, -12, -9, 15, 0]]?

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


[User]
Determine the rank of the following matrix:
[[-5, -34, -12, -4, -19],
 [16, -3, 32, -3, -21],
 [24, 11, 32, 11, -11],
 [-11, -42, -26, -3, -17],
 [-13, -16, -26, -1, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[40, -7, 2, -33, -32],
 [-16, 1, -8, 33, 20],
 [-42, -33, 62, -34, 31],
 [2, 4, -10, 13, 1],
 [-28, -24, 48, -34, 18]]

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


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

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


[User]
Find the rank of the matrix:
[[16, -25, 4, 50, 6],
 [-5, -7, 27, -45, 16],
 [-9, 26, -13, 15, 6],
 [22, -2, -10, 54, 16],
 [22, 14, -10, -20, 12]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 45, -5, -40, -35],
 [11, 9, 15, -22, -23],
 [9, 6, 23, 33, 1],
 [-13, 3, -8, 40, 21],
 [-45, 36, -12, 27, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, 5, -5, 0, -30],
 [0, -11, -13, 6, -2],
 [-12, 13, 11, -6, -10],
 [-3, 6, 6, -3, -2],
 [-12, 35, 37, -18, -6]]

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


[User]
Determine the rank of the following matrix:
[[-12, -6, 18, 15, 6],
 [-18, 0, 24, 19, 8],
 [26, 4, -36, -29, -12],
 [-8, 14, 6, 3, 2],
 [3, -21, 3, 5, 1]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 17, -46, 60, -3],
 [55, -4, 18, 11, 33],
 [22, -1, 14, -3, 15],
 [9, -12, 8, -11, 0],
 [-8, 14, -72, 86, -12]]

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


[User]
What is the rank of the matrix:
[[-33, -28, -36, -44, 64],
 [6, -18, -12, -15, 24],
 [25, 21, 12, -15, -10],
 [-17, 46, -6, 0, -23],
 [21, 31, 26, 30, -51]]?

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


[User]
Find the rank of the matrix:
[[23, -35, -16, -16, -1],
 [-19, -29, 20, -28, 25],
 [5, 29, -10, 22, -17],
 [-31, -47, -16, -58, 8],
 [-10, 24, -22, 6, -22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -3, 10, -7, 0],
 [-5, 5, 0, 15, -20],
 [-2, -2, 5, -5, 2],
 [9, -1, -10, -5, 16],
 [-1, 1, 0, 3, -4]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-29, -36, -23, -15, 28],
 [-43, -28, -8, -2, -9],
 [11, 8, -21, -11, 48],
 [-23, -50, -3, -10, -9],
 [30, 14, -4, -5, 25]]

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


[User]
What is the rank of the matrix:
[[-25, 18, -22, -8, 28],
 [-20, -6, 17, -15, 21],
 [-33, 22, 12, -10, 18],
 [-44, 32, -15, -1, 63],
 [-26, 30, -33, -11, 9]]?

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


[User]
Determine the rank of the following matrix:
[[18, -4, -18, 28, 18],
 [15, 12, -15, -15, -8],
 [15, 8, -15, -5, -2],
 [-15, -4, 15, -5, -4],
 [-18, -4, 18, -8, -6]]

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


[User]
Find the rank of the matrix:
[[-21, 7, 9, -12, -15],
 [-4, -6, 19, -18, -17],
 [21, -7, -9, 12, 15],
 [1, 5, -13, 12, 11],
 [-31, 13, 7, -12, -17]]

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


[User]
Find the rank of the matrix:
[[-26, 0, -10, -10, -54],
 [-16, -9, -11, -11, -9],
 [10, 4, 6, 6, 10],
 [-31, -28, -27, -27, 11],
 [-1, -16, -9, -9, 41]]

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


[User]
Determine the rank of the following matrix:
[[12, 0, -22, -7, -1],
 [12, 0, 14, -16, -10],
 [18, 0, -19, -14, -5],
 [24, 0, -12, -22, -10],
 [36, 0, 6, -39, -21]]

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


[User]
Find the rank of the matrix:
[[-18, 11, 19, 3, 10],
 [2, -9, -1, -1, -10],
 [2, -9, -1, -1, -10],
 [-20, -15, 25, 1, -20],
 [-3, -39, 9, -3, -45]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-30, -18, 24, 12, 12],
 [-20, -12, 16, 8, 8],
 [0, 0, 0, 0, 0],
 [5, 3, -4, -2, -2],
 [-25, -15, 20, 10, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -5, 24, -19, 6],
 [0, 0, 0, 0, 0],
 [10, -30, -38, 33, 8],
 [-2, -13, 0, 1, 6],
 [-8, 18, 28, -24, -4]]

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


[User]
Find the rank of the matrix:
[[-15, -9, 30, 21, -24],
 [45, -3, 20, -23, 30],
 [-49, -7, 11, 29, -12],
 [31, 10, -29, -29, 27],
 [8, -1, 8, 2, -15]]

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


[User]
What is the rank of the matrix:
[[-20, -10, -9, 9, -13],
 [2, 5, 19, -7, 45],
 [10, -10, 18, 0, 50],
 [18, 0, 10, -4, 22],
 [17, 45, 12, -27, 0]]?

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


[User]
What is the rank of the matrix:
[[10, -24, 16, 24, 15],
 [-23, 46, -34, -22, -16],
 [23, 18, 22, -22, -8],
 [-25, 26, -32, 4, -2],
 [-18, -12, -20, -44, -28]]?

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


[User]
Find the rank of the matrix:
[[-14, 12, -2, -10, 40],
 [-10, -44, 36, 2, -28],
 [-60, -29, 9, -58, 39],
 [-9, 16, -6, -7, 36],
 [4, -3, 21, 18, 13]]

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


[User]
What is the rank of the matrix:
[[-9, 44, -68, -71, 11],
 [52, 40, -2, -2, -34],
 [17, 34, -31, -36, -17],
 [-38, -28, -2, 10, 58],
 [-42, -4, -20, -22, 16]]?

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


[User]
Calculate the rank of matrix A where A =
[[15, 3, 18, -6, 3],
 [-6, -22, -52, -8, -22],
 [8, -14, -24, -11, -14],
 [9, 7, 22, -1, 7],
 [-8, 14, 24, 11, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -16, -6, 1, 34],
 [-35, -31, -3, -8, 49],
 [19, 0, -6, -15, 9],
 [8, 9, -13, 26, -14],
 [-4, 16, 10, 30, -26]]

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


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

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


[User]
Determine the rank of the following matrix:
[[34, -1, -17, 31, 25],
 [30, 3, 7, 17, 35],
 [-24, 6, 42, -36, 0],
 [0, 6, 34, -16, 20],
 [34, 2, 0, 23, 35]]

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


[User]
What is the rank of the matrix:
[[-30, -42, -11, 19, -14],
 [-18, 16, -1, 2, 12],
 [3, 18, -1, -13, 10],
 [-6, -16, -9, -6, -4],
 [54, 40, 14, -28, 8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, -38, 32, 71, 17],
 [19, -13, -20, 19, 23],
 [14, 5, -44, -14, 16],
 [-5, -1, 13, 1, -1],
 [-16, 7, 14, -32, 26]]

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


[User]
What is the rank of the matrix:
[[-6, 15, 6, 2, -6],
 [-3, -20, -30, 1, 30],
 [-3, -30, -42, 1, 42],
 [3, 5, 12, -1, -12],
 [-3, 5, 0, 1, 0]]?

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


[User]
Find the rank of the matrix:
[[-41, -4, -50, 0, -17],
 [-4, 4, 8, -16, -6],
 [-27, -4, -22, -16, -23],
 [5, 0, -14, 28, 19],
 [7, -20, 30, -40, -49]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, 5, 15, 0, 25],
 [2, 1, 3, 0, 5],
 [8, 4, 12, 0, 20],
 [-12, -6, -18, 0, -30],
 [12, 6, 18, 0, 30]]

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


[User]
Find the rank of the matrix:
[[-18, 6, 9, -6, -15],
 [42, -26, 0, 8, 44],
 [-6, -10, 24, -8, 4],
 [-12, 4, 6, -4, -10],
 [27, -19, 4, 4, 30]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[9, 0, 4, -1, -16],
 [-15, 30, 55, 20, 5],
 [2, 2, 5, 1, -5],
 [-1, 8, 16, 5, -4],
 [-3, -12, -26, -7, 14]]

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


[User]
Find the rank of the matrix:
[[-25, 8, 18, -21, 33],
 [-29, 24, 34, -41, 53],
 [12, -5, 3, -13, -17],
 [-29, 4, 30, -45, 33],
 [-13, -36, -8, -1, -23]]

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


[User]
What is the rank of the matrix:
[[8, 0, -24, -20, 0],
 [4, 0, -12, -10, 0],
 [-12, 0, 36, 30, 0],
 [-4, 0, 12, 10, 0],
 [-2, 0, 6, 5, 0]]?

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


[User]
What is the rank of the matrix:
[[-32, -1, -1, -8, -4],
 [18, 19, -28, 18, -14],
 [-8, -18, 25, -38, 12],
 [59, 11, -16, -16, -5],
 [32, 23, -37, -16, -20]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-33, -10, 10, -34, -25],
 [-9, 19, -42, 62, 11],
 [-18, 16, -45, 53, 7],
 [10, -18, 31, -59, -5],
 [-20, 3, -19, -7, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 18, -30, -6, -24],
 [-10, -15, 25, 5, 20],
 [0, 0, 0, 0, 0],
 [8, 12, -20, -4, -16],
 [6, 9, -15, -3, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-31, 47, 4, -2, 42],
 [-17, 30, 5, 4, 36],
 [14, -14, -8, 36, 12],
 [-17, 1, -28, 2, -42],
 [2, -5, -5, 6, -6]]

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


[User]
What is the rank of the matrix:
[[5, -26, -38, -26, -14],
 [-17, 5, -8, -28, 0],
 [45, -5, -20, 40, 10],
 [21, -22, -25, 12, 7],
 [36, -8, -1, 26, -37]]?

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


[User]
Calculate the rank of matrix A where A =
[[-1, -10, 13, 2, -15],
 [31, -30, 23, -18, -24],
 [-8, 40, -22, 22, 24],
 [-59, -10, 20, 25, -27],
 [-27, -22, -6, -19, 6]]

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


[User]
Find the rank of the matrix:
[[-9, 13, -54, 1, -17],
 [-8, 7, -11, 23, -13],
 [-14, -38, 20, -61, 18],
 [-13, 15, -33, -22, -19],
 [-10, 2, -13, 4, -10]]

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


[User]
Determine the rank of the following matrix:
[[-46, -6, 16, 50, 9],
 [24, -22, -13, -59, -37],
 [-20, 9, 26, 76, 39],
 [-44, 34, -24, -8, 4],
 [-42, -22, -1, -5, -28]]

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


[User]
What is the rank of the matrix:
[[-27, -12, 33, -36, -21],
 [17, 7, -3, 26, 6],
 [13, -25, 1, 15, -16],
 [0, 36, -8, 5, 26],
 [15, 24, -45, 18, 33]]?

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


[User]
Determine the rank of the following matrix:
[[-30, 34, -22, -40, -27],
 [8, 16, 2, -4, -15],
 [-34, 36, -27, -60, -18],
 [-4, -28, 0, 0, 34],
 [-4, 42, -7, -16, -44]]

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


[User]
Determine the rank of the following matrix:
[[-46, -56, -42, 28, -34],
 [34, 41, 33, -16, 22],
 [-10, -11, -15, -8, 2],
 [44, 54, 38, -32, 36],
 [11, 13, 12, -2, 5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-16, -13, -20, 0, -5],
 [-16, 42, 40, 0, 10],
 [-12, -18, -24, 0, -6],
 [12, 18, 24, 0, 6],
 [-12, -7, -12, 0, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -28, 8, 35, 16],
 [9, 26, 36, -16, 9],
 [-32, 2, -24, -12, -20],
 [-25, -2, -4, 0, -9],
 [-15, 28, -8, -35, -16]]

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


[User]
Find the rank of the matrix:
[[39, -8, -14, 10, 1],
 [18, -10, 1, 4, 6],
 [-28, 18, 5, -16, 4],
 [-39, -10, 11, 14, -25],
 [6, 20, -5, -20, 18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 15, 5, -8, -27],
 [-15, 15, -24, -51, -27],
 [0, 18, 0, 12, -6],
 [7, -10, 31, 47, 10],
 [10, -10, -28, -22, 26]]

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


[User]
Find the rank of the matrix:
[[15, -7, -25, 10, 0],
 [30, -7, 33, 24, 33],
 [-60, 36, -22, 4, 18],
 [-60, 26, -18, -24, -18],
 [12, -9, 50, -14, -6]]

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


[User]
Find the rank of the matrix:
[[13, 19, 12, 3, 12],
 [4, -8, -87, 71, -28],
 [-46, -10, 9, -23, 22],
 [32, -10, 6, -10, -31],
 [-19, 3, 80, -48, 40]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 0, -6, 22, 36],
 [-6, 0, -14, 16, 38],
 [-7, 0, -25, -19, -16],
 [-11, 0, 55, 23, 22],
 [23, 0, 11, 12, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -34, -48, 18, -2],
 [30, -36, 6, -30, 24],
 [-6, 3, -30, 32, -31],
 [-3, -29, -42, 17, -5],
 [-6, -22, -30, 10, 2]]

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


[User]
Determine the rank of the following matrix:
[[-12, 8, 0, 6, -42],
 [16, -16, -8, -12, 44],
 [14, -24, -22, -18, 16],
 [12, -8, 0, -6, 42],
 [19, -24, -17, -18, 41]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-26, 14, -18, -12, -50],
 [-55, -29, 3, -33, -29],
 [-20, -43, -60, 30, -1],
 [23, 25, 45, -15, 17],
 [-42, 10, 16, -41, -50]]

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


[User]
Determine the rank of the following matrix:
[[-31, -4, -60, -40, 6],
 [17, 14, -24, -52, -51],
 [58, 39, -14, -25, -57],
 [31, 5, -2, 9, -34],
 [43, 10, 56, 26, -28]]

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


[User]
Determine the rank of the following matrix:
[[15, -15, 0, 3, -3],
 [5, -1, -5, -1, -5],
 [25, -21, -5, 3, -9],
 [20, -8, -15, -2, -16],
 [-30, 30, 0, -6, 6]]

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


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

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


[User]
What is the rank of the matrix:
[[3, 6, 3, 1, 5],
 [-12, -24, -12, -4, -20],
 [15, 30, 15, 5, 25],
 [12, 24, 12, 4, 20],
 [-18, -36, -18, -6, -30]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, -36, 9, 13, -29],
 [-45, 24, -10, 9, 13],
 [55, 16, 7, -58, -17],
 [-24, -28, 1, 38, -14],
 [-4, 36, -7, -22, 30]]

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


[User]
What is the rank of the matrix:
[[-35, 32, -7, -28, 25],
 [26, -21, -41, -14, 33],
 [6, -51, -10, 17, -59],
 [38, -59, -33, 11, -21],
 [10, -31, -38, -5, 5]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, -20, 21, 0, 4],
 [0, -33, -39, 33, 45],
 [18, 10, 45, -23, -32],
 [2, 10, 20, 5, -22],
 [-27, 9, -21, 32, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[56, -1, -66, -1, 10],
 [-3, 13, 19, 19, -8],
 [-65, -31, 37, 19, 8],
 [58, 35, -44, -33, 4],
 [19, -29, -13, 33, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-37, -43, -32, -44, -20],
 [0, -14, -50, -66, -4],
 [-18, 0, -30, -30, 36],
 [27, 36, 15, 24, 27],
 [-17, -12, 31, 38, -15]]

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


[User]
What is the rank of the matrix:
[[9, -34, 4, 18, 32],
 [6, 44, -5, -15, -49],
 [7, -40, -22, 36, 26],
 [28, -12, -8, 24, -6],
 [27, 28, 17, -11, -42]]?

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


[User]
Find the rank of the matrix:
[[-12, 30, -9, -9, 27],
 [17, 15, 0, 9, 7],
 [32, 24, 0, -18, -8],
 [-5, -11, 0, -57, -35],
 [32, 24, 0, -18, -8]]

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


[User]
Find the rank of the matrix:
[[0, 14, 0, -4, 8],
 [20, 15, 20, -10, 20],
 [20, 22, 20, -12, 24],
 [6, 8, 6, -4, 8],
 [22, 13, 22, -10, 20]]

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


[User]
Find the rank of the matrix:
[[30, 15, -25, 15, 30],
 [-17, -11, 12, -11, -24],
 [-1, 2, 3, 2, 6],
 [-26, -8, 26, -8, -12],
 [30, 30, -12, 30, 72]]

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


[User]
What is the rank of the matrix:
[[35, -5, -40, -50, 5],
 [10, 2, -23, -22, 1],
 [-11, 5, 1, 8, -2],
 [2, -6, 17, 10, 1],
 [-15, 9, -6, 6, -3]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-40, 52, 11, 12, -3],
 [6, 33, -22, 34, -29],
 [-13, -11, 18, -18, 10],
 [6, -52, 13, -46, 36],
 [-27, -5, 15, -28, 0]]

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


[User]
Find the rank of the matrix:
[[-21, 33, 16, 21, -2],
 [25, -41, -39, 42, 31],
 [-10, 2, 5, 27, -11],
 [7, -5, -4, -27, 0],
 [16, -41, -9, 12, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -19, -45, 64, 25],
 [-30, 35, -73, 24, -3],
 [18, -22, 59, -24, 3],
 [-31, 57, 20, -19, 2],
 [-19, 45, -58, -1, -16]]

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


[User]
Determine the rank of the following matrix:
[[-13, -58, -17, 51, 5],
 [12, 0, -11, 5, -10],
 [-14, -12, 7, 6, 10],
 [-17, -26, -5, 10, 35],
 [-14, -28, -8, 14, 30]]

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


[User]
What is the rank of the matrix:
[[22, -10, 18, 2, -1],
 [-7, -11, -3, 14, 49],
 [6, 6, -18, -12, 14],
 [-18, 24, -42, -22, -3],
 [-16, -20, 36, 34, 3]]?

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


[User]
Determine the rank of the following matrix:
[[12, 26, -41, -10, -4],
 [-29, -52, 28, -10, -6],
 [-20, 3, 2, -49, 0],
 [22, 4, -19, 41, 1],
 [21, 13, -27, 25, 24]]

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


[User]
What is the rank of the matrix:
[[-17, -15, 12, 7, -7],
 [27, 29, -28, -13, 17],
 [21, 3, 12, -3, -9],
 [-19, -9, 0, 5, 1],
 [-30, -20, 10, 10, -5]]?

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


[User]
Calculate the rank of matrix A where A =
[[39, -49, -22, 4, 10],
 [-27, 33, 12, 0, -9],
 [-21, 11, -42, 44, -40],
 [21, -11, 42, -44, 40],
 [36, -36, 12, -24, 30]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -3, 19, -20, 7],
 [-15, 1, 27, -8, 13],
 [21, -6, 12, -8, -4],
 [17, -28, -2, -36, 0],
 [-15, -28, 25, -58, 24]]

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


[User]
Determine the rank of the following matrix:
[[5, 10, 21, -15, -21],
 [0, 16, 22, -28, -35],
 [-11, -6, 3, 5, 18],
 [2, -20, -37, 36, 41],
 [21, 2, -8, 7, -11]]

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


[User]
Determine the rank of the following matrix:
[[-14, 45, -9, 13, 29],
 [-50, 53, 11, 37, 13],
 [-20, 60, 4, -6, -24],
 [2, -14, -4, -2, -6],
 [-4, -19, 25, 5, -15]]

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


[User]
Determine the rank of the following matrix:
[[21, 8, 14, 12, 23],
 [32, 35, -7, 61, -42],
 [-22, -18, 38, -4, -11],
 [17, -5, -29, -25, 35],
 [1, -4, -8, -11, 10]]

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


[User]
What is the rank of the matrix:
[[8, 34, 1, -50, -22],
 [-38, -38, 2, 44, 28],
 [-33, 13, 9, -54, -18],
 [59, 53, -14, -26, 5],
 [-23, 1, 9, -34, -22]]?

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


[User]
Find the rank of the matrix:
[[29, 45, -53, 6, -74],
 [-36, -51, 27, 21, 33],
 [-19, -13, 8, 8, -3],
 [4, -9, -13, 13, -3],
 [-3, 7, 11, -10, 2]]

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


[User]
What is the rank of the matrix:
[[-8, -40, -56, -16, -63],
 [17, 14, 43, -8, 45],
 [-41, -32, -37, -12, -14],
 [-81, -23, -28, -2, -38],
 [20, -3, -32, 10, -52]]?

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


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

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


[User]
Find the rank of the matrix:
[[-24, -2, 21, 3, -3],
 [6, -14, 0, 9, -9],
 [-10, 34, -3, -12, 17],
 [-20, 10, 15, 15, -5],
 [-24, 36, 10, 10, 6]]

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


[User]
What is the rank of the matrix:
[[38, -8, -48, 2, 38],
 [-37, -6, -60, 56, 16],
 [-48, -56, -6, 18, -8],
 [4, -58, 3, -20, 7],
 [-23, -48, 9, -4, -7]]?

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


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

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


[User]
Find the rank of the matrix:
[[-52, -13, 27, -1, -1],
 [9, 12, -8, -10, -10],
 [24, -13, -9, -14, -27],
 [-25, 6, 12, 6, 16],
 [46, 15, -22, 22, 33]]

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


[User]
Determine the rank of the following matrix:
[[-14, -28, 15, 31, 8],
 [8, 16, -8, -18, -4],
 [12, 24, -8, -29, -2],
 [6, 12, -7, -13, -4],
 [-2, -4, 5, 3, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -8, 16, 1, 4],
 [-20, 6, 28, -4, 20],
 [-13, 11, 41, -11, 26],
 [-36, -19, 34, 5, 10],
 [9, -30, -31, 14, -34]]

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


[User]
What is the rank of the matrix:
[[16, 22, -31, -24, -4],
 [22, -27, -23, 5, -9],
 [-48, -41, 25, 34, 37],
 [18, -41, -1, 20, -13],
 [-40, -34, 18, 41, 32]]?

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


[User]
Find the rank of the matrix:
[[27, 31, -56, 23, -9],
 [-31, 2, 20, -9, 4],
 [-21, 33, -34, -13, 18],
 [-23, -21, 40, -29, 6],
 [-22, 28, -32, -26, 28]]

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


[User]
What is the rank of the matrix:
[[23, 26, 15, 48, 19],
 [2, 14, 20, 14, 20],
 [-10, 29, 10, 25, 27],
 [-30, -3, 15, -33, 15],
 [42, 12, 10, 48, 2]]?

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


[User]
Find the rank of the matrix:
[[40, -16, 10, 5, -12],
 [17, -16, -22, 24, -28],
 [-5, -8, 4, -5, 12],
 [-23, 16, 10, -16, 20],
 [21, -40, -42, 42, -40]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-39, -3, -45, 18, 9],
 [-1, -5, -3, -2, 3],
 [-42, -18, -54, 12, 18],
 [11, -9, 9, -10, 3],
 [-22, 18, -18, 20, -6]]

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


[User]
What is the rank of the matrix:
[[0, 2, -2, -5, -7],
 [20, 36, -46, -30, -51],
 [-5, 4, -14, 0, -14],
 [13, 14, -10, -17, -16],
 [13, 16, -18, -10, -14]]?

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


[User]
Determine the rank of the following matrix:
[[17, 2, 14, 19, 10],
 [-6, 21, -27, 17, -22],
 [8, 3, 4, 13, -53],
 [-5, 89, -12, -10, -7],
 [16, -13, 9, 25, 22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[46, 16, 40, 42, -72],
 [-2, -27, -72, 1, 6],
 [-28, 40, 30, -34, 18],
 [15, -12, 4, 17, -12],
 [-26, -38, -84, -20, 48]]

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


[User]
Calculate the rank of matrix A where A =
[[-36, 6, 9, 36, 27],
 [0, 48, -42, 0, -6],
 [36, 18, -30, -36, -30],
 [6, -29, 23, -6, -1],
 [6, 27, -26, -6, -8]]

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


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

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


[User]
What is the rank of the matrix:
[[-40, 41, -1, -32, 34],
 [-37, 23, 9, -13, 4],
 [-5, 21, 45, -3, 26],
 [-16, 1, -39, -14, -8],
 [-47, 30, 1, -12, 7]]?

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


[User]
What is the rank of the matrix:
[[-25, -17, -13, 6, 2],
 [-25, 25, -20, -5, 55],
 [28, -28, 21, 10, -66],
 [-50, -10, -39, 34, 6],
 [-18, -36, -10, 25, -43]]?

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


[User]
Determine the rank of the following matrix:
[[8, 30, 16, 8, 5],
 [9, -45, 3, 9, -12],
 [-14, -22, -16, -1, -7],
 [23, -7, 13, -9, 6],
 [7, -3, 7, 4, -1]]

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


[User]
Determine the rank of the following matrix:
[[10, 28, 11, -15, -14],
 [-13, -5, -2, 27, 5],
 [39, 7, 25, -5, -32],
 [-31, 37, -20, -45, 23],
 [27, -1, 11, -19, -16]]

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


[User]
Find the rank of the matrix:
[[20, 4, -9, 7, -22],
 [-16, -8, 3, 1, 2],
 [-6, -2, 2, -1, 4],
 [18, 14, 1, -8, 14],
 [-26, -6, 11, -8, 26]]

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


[User]
Determine the rank of the following matrix:
[[-12, -24, 16, 12, -20],
 [12, 30, -12, -12, 18],
 [6, 3, -14, -6, 13],
 [0, -24, -16, 0, 8],
 [6, 39, 10, -6, 1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, 21, 11, 41, 22],
 [3, 6, -33, -48, -33],
 [-3, 0, -23, -38, -25],
 [35, 31, -21, -1, -8],
 [-23, -22, 29, 24, 21]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, 38, -31, -8, 10],
 [0, -2, -5, -4, 12],
 [14, -18, 18, 6, -11],
 [18, -26, 16, 2, 3],
 [-18, 28, -11, 2, -15]]

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


[User]
Find the rank of the matrix:
[[-10, -24, 8, -39, -21],
 [-6, -36, 12, -54, -30],
 [-19, -6, 2, -18, -8],
 [-15, 18, -6, 18, 12],
 [42, -36, 12, -30, -22]]

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


[User]
Determine the rank of the following matrix:
[[6, 46, 22, 6, 46],
 [12, -21, -48, -21, -24],
 [-37, -12, 39, 16, -5],
 [22, 4, 28, 20, 0],
 [-51, -35, 4, -3, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -38, 28, 13, 11],
 [-16, 6, 7, 28, 31],
 [8, -18, 44, 31, -3],
 [-2, 12, 17, 17, -10],
 [0, -6, -27, -24, 9]]

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


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

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


[User]
What is the rank of the matrix:
[[-2, -18, 13, -25, -18],
 [-10, -12, 0, 5, 1],
 [0, -12, 10, -20, -14],
 [24, 24, 4, -20, -8],
 [0, -6, 5, -10, -7]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-17, -20, -30, -30, -14],
 [-26, -30, -42, -44, -18],
 [-13, -15, -21, -22, -9],
 [-34, -30, 6, -28, 30],
 [14, 15, 15, 20, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, 20, -5, -45, 46],
 [-63, 1, -22, 30, 40],
 [28, -27, 3, -49, -2],
 [46, 51, 24, -10, -14],
 [-63, -17, -25, 27, 34]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, -8, 24, 16, -24],
 [-24, -4, 4, 4, 24],
 [30, -11, 35, 23, -42],
 [-40, -4, 0, 2, 42],
 [42, -1, 13, 7, -48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, 3, -35, -18, -27],
 [24, 0, 36, 24, 30],
 [-50, 18, -60, -8, -37],
 [-35, 9, -45, -14, -31],
 [50, -18, 60, 8, 37]]

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


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

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


[User]
Determine the rank of the following matrix:
[[54, 16, 12, 23, 17],
 [-6, -21, -47, -33, -6],
 [-12, -27, -51, -33, 0],
 [-30, 5, 15, -5, -20],
 [8, -21, -19, 10, 39]]

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


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

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


[User]
Find the rank of the matrix:
[[22, -37, -20, 43, 35],
 [-37, -34, -9, 10, 26],
 [-1, 36, 0, -59, -53],
 [-65, -30, -11, 20, 32],
 [15, -29, -21, 52, 36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, -13, -8, 13, 14],
 [6, -12, -12, 2, 14],
 [-27, 0, 33, -2, -56],
 [-14, 19, 7, -21, -14],
 [21, 39, -18, -11, 46]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -29, 51, -18, -16],
 [0, 6, -18, -63, 36],
 [-2, -7, 10, -16, 2],
 [10, 44, -17, -13, 36],
 [4, 25, 6, -2, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, -7, -6, 8, 3],
 [29, 6, -12, 5, 27],
 [8, -9, 22, -9, -26],
 [23, 9, 13, -11, 2],
 [45, 1, -5, -2, -8]]

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


[User]
What is the rank of the matrix:
[[25, -33, 2, 5, -3],
 [-4, 36, -8, 12, -4],
 [26, -42, 4, 2, -2],
 [-54, 6, 12, -38, 16],
 [39, -15, -6, 23, -10]]?

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


[User]
What is the rank of the matrix:
[[-18, -2, 10, -24, -10],
 [24, 8, -8, 0, 8],
 [30, 3, -17, 42, 17],
 [12, 1, -7, 18, 7],
 [30, -1, -21, 66, 21]]?

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


[User]
Find the rank of the matrix:
[[4, -12, 0, 20, 16],
 [1, -3, 0, 5, 4],
 [4, -12, 0, 20, 16],
 [-5, 15, 0, -25, -20],
 [-5, 15, 0, -25, -20]]

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


[User]
Determine the rank of the following matrix:
[[13, -10, -4, -9, -6],
 [20, -44, -26, -32, -11],
 [36, -6, -30, 14, -31],
 [22, -19, 14, -33, 0],
 [-9, 12, 42, -17, 21]]

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


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

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


[User]
Find the rank of the matrix:
[[-14, 24, -25, 22, 33],
 [31, 61, -36, 33, 60],
 [-26, -16, 18, 19, 5],
 [30, -3, 31, 20, 6],
 [-21, 32, -16, 17, 41]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 3, -18, -6, -12],
 [12, -19, -6, 30, 8],
 [-12, -1, -24, 0, -13],
 [12, 5, 30, -6, 14],
 [0, -16, -24, 24, -4]]

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


[User]
Determine the rank of the following matrix:
[[46, -38, -19, 11, -6],
 [-36, 10, 16, -13, 8],
 [-70, -25, 25, -15, 40],
 [-42, 14, 20, -26, -2],
 [65, 19, -9, 1, -43]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, -16, 34, -8, -10],
 [27, -14, 27, -8, -7],
 [0, 0, 0, 0, 0],
 [-4, -24, -4, -32, 20],
 [-42, 12, -42, 0, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 14, -33, -31, 13],
 [28, 27, -66, 7, 9],
 [-40, 35, -3, -17, 12],
 [44, -24, -9, -1, -5],
 [-22, 21, 16, -1, 2]]

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[User]
Compute the rank of the given 5x5 matrix:
[[12, 41, 11, -41, -26],
 [-34, 40, 16, 12, 0],
 [-19, -7, -1, 23, 29],
 [27, -22, -6, -18, -15],
 [62, -38, -58, 14, -30]]

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


[User]
Find the rank of the matrix:
[[-46, 26, -8, 23, -22],
 [15, -15, 5, -55, -30],
 [7, -17, 13, -48, -38],
 [28, -22, 16, 5, 20],
 [-42, 26, -10, 24, -16]]

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[User]
Calculate the rank of matrix A where A =
[[-36, -4, 25, -15, 9],
 [40, 17, -34, 23, 5],
 [-22, 12, 8, -2, 23],
 [-26, 12, 14, -14, 19],
 [38, 8, -29, 3, -2]]

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[User]
Find the rank of the matrix:
[[20, 39, 16, 30, 39],
 [6, 3, -30, -3, 30],
 [-27, -36, 29, -2, -53],
 [5, -3, -3, 3, 33],
 [-3, -24, -14, -25, 5]]

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[User]
Calculate the rank of matrix A where A =
[[30, 25, -9, 32, 21],
 [-38, -31, -1, -32, -5],
 [2, 62, 42, 36, 1],
 [16, -60, -52, -27, 4],
 [4, -18, -30, 1, 26]]

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

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[User]
Determine the rank of the following matrix:
[[-56, 7, 1, 30, -16],
 [-12, 4, 2, 0, -2],
 [-30, -4, -5, 36, -13],
 [32, -13, -7, 6, 4],
 [0, 7, 5, -18, 4]]

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[User]
Determine the rank of the following matrix:
[[-33, 19, -33, 31, -6],
 [24, -12, 24, -28, -2],
 [-3, 7, -3, -13, -19],
 [42, -26, 42, -34, 14],
 [39, -23, 39, -35, 9]]

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[User]
Find the rank of the matrix:
[[-12, -24, -12, -16, 16],
 [9, -18, 0, 12, 6],
 [-36, 24, -12, -48, 0],
 [30, -20, 10, 40, 0],
 [6, -28, -4, 8, 12]]

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[User]
Find the rank of the matrix:
[[-21, 10, 15, -2, -26],
 [-15, 9, 15, -3, -18],
 [20, -12, -20, 4, 24],
 [14, 2, 10, -6, 20],
 [-31, 16, 25, -4, -38]]

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[User]
Determine the rank of the following matrix:
[[-6, 15, 28, -1, 8],
 [-36, 5, -19, 11, -3],
 [-30, 15, 8, 7, 4],
 [6, -30, -61, 4, -17],
 [-12, 15, 23, 1, 7]]

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

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[User]
Find the rank of the matrix:
[[-23, -15, 30, -24, -20],
 [4, 10, -10, -40, 28],
 [35, 35, -50, 4, 44],
 [-7, -13, 13, 25, -22],
 [8, 4, -9, 23, -2]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-12, 8, 10, 12, 0],
 [36, -24, -30, -36, 0],
 [-12, 8, 10, 12, 0],
 [12, -8, -10, -12, 0],
 [-24, 16, 20, 24, 0]]

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[User]
What is the rank of the matrix:
[[-19, -11, 6, 1, 22],
 [5, 29, -10, -7, -26],
 [9, -16, 4, 5, 6],
 [-18, -30, 12, 6, 36],
 [6, -21, 6, 6, 12]]?

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

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

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[User]
Find the rank of the matrix:
[[17, -7, -12, 7, 2],
 [41, 8, -15, 26, 38],
 [-17, -2, 9, -12, -14],
 [40, -8, -12, 10, 16],
 [-23, -26, 9, -33, -50]]

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[User]
Determine the rank of the following matrix:
[[-7, 10, 7, -14, -30],
 [-6, 3, -4, -6, -13],
 [14, -5, 0, -14, -13],
 [10, -7, -5, -4, 2],
 [10, -22, -40, -4, 12]]

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[User]
Compute the rank of the given 5x5 matrix:
[[6, -3, 0, -9, 12],
 [0, 0, 0, 0, 0],
 [-10, 5, 0, 15, -20],
 [4, -2, 0, -6, 8],
 [-8, 4, 0, 12, -16]]

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[User]
Determine the rank of the following matrix:
[[-33, 1, 14, 8, -14],
 [57, 15, -14, 4, 34],
 [-58, -28, 32, -17, -51],
 [9, -7, 6, -9, -5],
 [6, 12, -16, 11, 17]]

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[User]
Compute the rank of the given 5x5 matrix:
[[24, 23, -3, -16, -25],
 [-11, 69, 29, -51, 37],
 [-53, -2, 9, -2, 25],
 [-24, 33, 27, -20, 71],
 [-22, -7, -13, 4, -32]]

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[User]
What is the rank of the matrix:
[[-50, 27, -28, -34, -37],
 [-28, -9, -14, 10, -20],
 [24, 21, 21, 8, 15],
 [8, -36, 1, 22, -2],
 [-12, 24, -12, -32, 27]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[21, 3, -18, -27, -9],
 [-31, 47, -16, -27, 41],
 [-6, 2, -6, 26, 10],
 [13, -33, 31, 23, -30],
 [20, 22, -14, -22, -2]]

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[User]
Calculate the rank of matrix A where A =
[[16, -40, -14, 10, 6],
 [-19, 12, 3, -29, -24],
 [25, -7, -2, 40, 32],
 [-24, -37, 32, -6, -2],
 [7, -11, -12, -2, -3]]

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[User]
Find the rank of the matrix:
[[-24, -6, 12, -3, 39],
 [23, 9, -19, -12, -25],
 [-12, 22, 3, -43, -19],
 [4, -10, 4, 25, -1],
 [13, 17, -14, -29, -28]]

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[User]
Find the rank of the matrix:
[[-37, 16, -2, 2, 15],
 [2, -1, 2, 3, -5],
 [10, -4, -4, -8, 6],
 [-10, 3, 18, 31, -37],
 [3, -1, -4, -7, 8]]

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[User]
Find the rank of the matrix:
[[48, -28, -11, -19, 9],
 [6, 10, 2, 28, -36],
 [6, 10, 2, 28, -36],
 [24, -8, -4, 4, -12],
 [6, -14, -4, -26, 30]]

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[User]
What is the rank of the matrix:
[[48, -13, 15, 63, 42],
 [-32, 8, -8, -44, -30],
 [15, -9, 15, 15, 15],
 [-3, -8, 12, 0, 21],
 [-50, 16, -32, -38, -3]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-48, 36, -39, -16, 4],
 [-38, 18, -14, 2, 7],
 [-28, 48, 3, 20, 26],
 [-26, -27, -23, -18, -18],
 [22, -15, 8, -2, -6]]

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

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

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[User]
What is the rank of the matrix:
[[-1, -6, 3, -4, 5],
 [3, 18, -9, 12, -15],
 [-4, -24, 12, -16, 20],
 [-5, -30, 15, -20, 25],
 [0, 0, 0, 0, 0]]?

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[User]
Determine the rank of the following matrix:
[[-3, 0, 3, 10, -5],
 [-36, -9, 36, 15, -30],
 [-32, -10, 32, -10, -20],
 [25, 5, -25, -25, 25],
 [-8, -1, 8, 15, -10]]

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[User]
Determine the rank of the following matrix:
[[22, -50, 9, 2, -23],
 [22, -7, 23, 40, -45],
 [9, 18, -4, 44, 1],
 [9, -4, 27, 6, -10],
 [26, -25, 23, 32, -49]]

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[User]
Find the rank of the matrix:
[[2, 6, 28, 4, 12],
 [40, 16, -12, 2, 6],
 [-32, -16, -8, -4, -12],
 [-16, -8, -4, -2, -6],
 [28, 4, -48, -4, -12]]

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

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[User]
Compute the rank of the given 5x5 matrix:
[[27, -37, -7, 46, 7],
 [-15, 6, -12, 3, 60],
 [60, -56, 23, 8, -66],
 [7, 29, 29, -49, -9],
 [-39, 67, 11, -61, 45]]

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[User]
What is the rank of the matrix:
[[10, -22, 56, -23, 14],
 [29, 2, -3, -27, 2],
 [21, 24, -10, -6, -28],
 [2, 18, -10, 40, -12],
 [12, 13, 43, -19, -36]]?

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[User]
Calculate the rank of matrix A where A =
[[5, 6, -15, -38, 2],
 [49, 7, -6, -3, 49],
 [-16, 23, -33, 16, -4],
 [-4, -13, 21, 11, -5],
 [50, 42, -48, 57, 65]]

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[User]
What is the rank of the matrix:
[[-6, -36, 20, -11, -67],
 [3, 44, -6, 32, 59],
 [-12, 26, 8, 8, -2],
 [0, 45, -13, 17, 63],
 [24, -31, 3, 26, -2]]?

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[User]
What is the rank of the matrix:
[[-11, -21, 3, 17, 21],
 [7, -15, -30, 47, 9],
 [4, 4, -17, 12, -14],
 [-2, -6, -1, 7, 6],
 [-10, 10, 26, -39, -8]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-20, 15, -27, 7, 38],
 [-12, 5, -1, -1, 12],
 [12, -29, -35, -14, 13],
 [30, 24, -12, 13, 2],
 [-52, 22, 10, 20, 16]]

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[User]
Calculate the rank of matrix A where A =
[[-4, 10, -21, 27, -16],
 [13, -12, -13, -41, -4],
 [6, 60, 44, 5, -40],
 [9, 24, 21, -22, -20],
 [-5, -26, 11, -10, 32]]

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[User]
Determine the rank of the following matrix:
[[-20, 41, -34, -8, -36],
 [-8, -15, 34, -13, 18],
 [20, -3, 14, 29, -10],
 [-4, -3, -10, -10, 8],
 [0, -17, -10, -14, 24]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-10, 14, -44, 20, -6],
 [1, -17, -10, 28, 1],
 [-17, 16, -22, -16, 0],
 [-6, 61, -44, -8, 3],
 [-20, 19, -58, 13, -11]]

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[User]
Determine the rank of the following matrix:
[[20, 8, 15, 18, 3],
 [-23, 4, -9, -24, -4],
 [6, 24, 18, 0, 0],
 [28, 16, 24, 24, 4],
 [31, 4, 18, 30, 5]]

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[User]
Find the rank of the matrix:
[[-38, -19, 7, 23, -33],
 [2, -1, -8, -14, -3],
 [8, -44, 20, 52, -12],
 [72, 6, 3, -3, 52],
 [48, -8, 14, 24, 33]]

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[User]
Determine the rank of the following matrix:
[[23, -8, 19, 4, 20],
 [1, -32, 13, -12, -4],
 [16, 8, 8, 8, 16],
 [21, 4, 13, 8, 20],
 [-20, 16, -20, 0, -16]]

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

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[User]
Determine the rank of the following matrix:
[[52, 75, -30, -13, -1],
 [19, 36, -65, 22, -2],
 [-2, 3, -12, -9, -13],
 [-28, -42, 40, -14, -6],
 [13, 18, -11, 4, 4]]

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[User]
What is the rank of the matrix:
[[26, -2, 24, -37, 9],
 [-7, -14, 9, -6, -4],
 [3, -25, 30, -27, -2],
 [-12, 1, -9, 28, -5],
 [-35, -34, 9, 21, -17]]?

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[User]
Find the rank of the matrix:
[[-24, -28, -38, 7, -36],
 [-10, 31, -12, 12, -6],
 [-20, 29, -26, 17, -15],
 [-40, 29, -48, 28, -9],
 [16, 6, 38, -7, 78]]

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[User]
Compute the rank of the given 5x5 matrix:
[[3, -6, 13, 40, 12],
 [-3, 15, -28, 35, 42],
 [-1, -12, 3, -10, 0],
 [-6, 3, -29, -20, 21],
 [4, 27, -1, 45, 6]]

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

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[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [-6, -6, -12, -24, 36],
 [0, 0, 0, 0, 0],
 [3, 3, 6, 12, -18],
 [-2, -2, -4, -8, 12]]

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[User]
What is the rank of the matrix:
[[-4, -4, -12, 8, 2],
 [-2, 2, 18, -20, -1],
 [-6, -12, -54, 48, 6],
 [10, 10, 30, -20, -5],
 [-6, -10, -42, 36, 5]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[18, 18, -21, 18, 0],
 [0, 24, 20, 16, 24],
 [-36, -36, 42, -36, 0],
 [-6, -30, -13, -22, -24],
 [15, -6, -35, 1, -21]]

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[User]
Compute the rank of the given 5x5 matrix:
[[3, 6, -1, -4, -5],
 [-15, -36, 1, 22, 32],
 [-17, -38, 3, 24, 33],
 [-19, -46, 1, 28, 41],
 [-4, 2, 8, 2, -5]]

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[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-3, -5, -1, 4, 1],
 [9, 15, 3, -12, -3],
 [3, 5, 1, -4, -1],
 [-3, -5, -1, 4, 1]]?

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[User]
Calculate the rank of matrix A where A =
[[0, 12, 4, 16, -20],
 [0, 18, 6, 24, -30],
 [0, 3, 1, 4, -5],
 [0, 15, 5, 20, -25],
 [0, 18, 6, 24, -30]]

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[User]
Determine the rank of the following matrix:
[[-14, -48, -44, -12, 13],
 [36, -27, -12, 17, 12],
 [18, -5, 0, 1, -1],
 [38, -20, -4, -8, 19],
 [5, 57, 56, 9, 16]]

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[User]
What is the rank of the matrix:
[[11, -12, 6, 7, -6],
 [-9, 15, -36, -4, 17],
 [12, -9, -18, 9, 3],
 [-15, 15, 0, -10, 5],
 [14, -12, -12, 10, 0]]?

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[User]
Determine the rank of the following matrix:
[[52, -18, 31, -10, 30],
 [-41, 16, -34, 2, -26],
 [32, -21, -15, -25, -6],
 [-1, -24, 11, 46, -36],
 [12, 12, 30, -9, 41]]

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[User]
Calculate the rank of matrix A where A =
[[13, 9, -12, 21, 18],
 [31, 14, -41, 16, -2],
 [-20, -36, 7, 14, 64],
 [34, -54, -11, 52, -6],
 [-31, -25, 6, -23, 35]]

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[User]
Compute the rank of the given 5x5 matrix:
[[3, 29, 14, 4, -11],
 [8, 15, 3, 12, -9],
 [22, -19, 39, -44, 21],
 [10, -29, 33, -52, 27],
 [24, -23, 25, -28, 17]]

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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 17, -28, -2, -6],
 [-17, 17, -19, -3, -8],
 [1, 2, -19, 11, -6],
 [15, -15, -9, 8, 10],
 [15, 14, -19, -16, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -16, 18, 13, 26],
 [-12, -12, -30, -36, -56],
 [14, 13, -2, -18, -12],
 [-18, -7, 10, -10, 4],
 [8, 12, 44, 47, 78]]

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[User]
What is the rank of the matrix:
[[-21, 4, -29, 30, 12],
 [-7, 13, 16, -25, -10],
 [-16, 9, -9, 5, 2],
 [3, 3, 12, -15, -6],
 [4, -11, -17, 25, 10]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-62, -44, 36, -24, -2],
 [-21, -30, 28, -10, -15],
 [1, -34, 24, -34, -5],
 [33, 2, 4, 12, -21],
 [-3, -16, 17, -1, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -18, 36, -18, -6],
 [40, 14, -24, 2, 2],
 [12, 21, -45, 30, 9],
 [12, -15, 36, -33, -9],
 [8, 22, -48, 34, 10]]

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

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[User]
Calculate the rank of matrix A where A =
[[-12, 5, -14, -5, 7],
 [0, 15, -20, -15, -5],
 [-54, -36, 15, 36, 51],
 [-18, -6, -3, 6, 15],
 [-48, -28, 8, 28, 44]]

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


[User]
Find the rank of the matrix:
[[-25, 30, -30, 30, -30],
 [25, -30, 30, -30, 30],
 [-5, 10, -10, 15, -18],
 [25, -10, 10, 15, -30],
 [40, -36, 36, -21, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[12, 4, -36, -6, -30],
 [-9, -3, 26, 8, 24],
 [-2, 51, 47, -3, 52],
 [4, -7, -19, 0, -17],
 [2, -36, -36, 5, -37]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -11, 20, 24, 5],
 [10, -10, 8, 0, -10],
 [-10, 9, -10, -6, 5],
 [30, -30, 24, 0, -30],
 [-25, 21, -28, -24, 5]]

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


[User]
Find the rank of the matrix:
[[1, 6, -2, 4, -6],
 [13, 30, -2, 14, -42],
 [-17, -30, -2, -11, 48],
 [-15, 30, -30, 35, 0],
 [24, 24, 12, 1, -54]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -24, 24, 24, -33],
 [-1, -9, 6, 9, -15],
 [-13, -26, 36, 26, -27],
 [13, 13, -30, -13, 3],
 [7, -15, -6, 15, -39]]

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


[User]
What is the rank of the matrix:
[[26, -18, 20, -19, 8],
 [-35, 39, -8, -1, -8],
 [6, 28, -26, -22, 2],
 [44, -31, 2, -12, 9],
 [8, 24, -26, -25, 8]]?

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


[User]
Determine the rank of the following matrix:
[[6, 23, 23, 27, -70],
 [6, 28, 44, 54, -6],
 [-14, 3, 35, -1, 1],
 [4, -17, -36, -20, -4],
 [-8, -12, 7, -3, 50]]

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


[User]
What is the rank of the matrix:
[[23, -9, -27, -6, -33],
 [29, -38, -33, 45, -11],
 [22, 5, -18, -42, -19],
 [14, 34, -4, -31, 3],
 [46, -4, -31, 20, 25]]?

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


[User]
Find the rank of the matrix:
[[-33, -21, -14, 23, -36],
 [-5, -26, -23, 27, 0],
 [9, -57, 16, 29, 42],
 [12, 16, -36, -12, 4],
 [-52, 9, -63, 44, -92]]

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


[User]
Find the rank of the matrix:
[[-28, -4, -11, -11, -3],
 [16, -2, 2, 32, 6],
 [-24, -3, -9, -12, -3],
 [-16, -1, -5, -14, -3],
 [24, 0, 6, 30, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, 13, -30, 24, -15],
 [-21, 6, 14, -4, -3],
 [-36, -24, -21, 1, 44],
 [23, 26, 0, -22, -47],
 [28, 7, -9, -17, -22]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-19, -36, 1, 8, 8],
 [15, 20, 11, -24, -8],
 [18, 42, -12, 9, -6],
 [10, 0, 26, -44, -8],
 [-3, -2, -5, 9, 2]]

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


[User]
What is the rank of the matrix:
[[32, 10, -2, -82, 24],
 [10, -29, 23, 26, 5],
 [-38, 3, -25, 18, -35],
 [7, 26, -1, 1, 15],
 [-29, 34, -29, 8, -18]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -1, 19, 11, 32],
 [8, 31, 2, -23, -12],
 [-59, -3, -5, 49, 3],
 [-23, -50, -34, 34, -29],
 [-16, -15, -23, 13, -28]]

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


[User]
What is the rank of the matrix:
[[7, -30, 0, -3, 8],
 [19, 42, 32, -15, 24],
 [20, -24, 16, -12, 24],
 [17, -42, 8, -9, 20],
 [-26, 42, -18, 15, -31]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, -23, 5, 12, 12],
 [4, -13, 40, -35, 52],
 [-1, -35, -17, 43, -13],
 [-33, 15, -10, 2, -15],
 [-34, -8, 11, -5, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -8, 1, 24, -33],
 [-7, 8, 13, 8, 19],
 [35, -26, -53, -74, -3],
 [32, -42, -52, -40, -44],
 [-6, 18, 6, 0, -6]]

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


[User]
Determine the rank of the following matrix:
[[-5, -34, -29, -1, -17],
 [-25, 6, -9, 29, -12],
 [-23, 18, -7, 19, 4],
 [-5, -27, -33, -11, -3],
 [-36, 7, -32, 20, 3]]

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


[User]
Find the rank of the matrix:
[[12, -28, -12, 9, 15],
 [-8, 22, 14, -12, -18],
 [-16, 14, -5, -5, 1],
 [-4, 6, 13, -22, -22],
 [-16, -6, -17, -9, 9]]

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


[User]
What is the rank of the matrix:
[[-18, -3, 33, -42, -33],
 [-10, 20, 14, -6, -27],
 [-4, -19, 11, -24, 0],
 [6, -24, -6, -6, 21],
 [4, 9, -9, 16, 4]]?

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


[User]
Determine the rank of the following matrix:
[[-12, -29, 17, -1, 2],
 [33, -11, 35, -28, -25],
 [3, 22, -39, 20, 11],
 [7, 29, -30, 11, 5],
 [10, -33, 22, -8, -8]]

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


[User]
What is the rank of the matrix:
[[-29, 5, 33, -7, 4],
 [-45, 33, 31, 29, -21],
 [23, 21, 19, 15, -38],
 [-11, -29, 13, -41, 39],
 [12, -8, -13, -1, -1]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 2, 15, 24, 20],
 [23, -36, -8, -39, -41],
 [-15, 24, 15, 18, 30],
 [30, -20, -55, -25, -55],
 [-30, 30, 50, 26, 58]]

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


[User]
Find the rank of the matrix:
[[50, -11, 9, -33, -21],
 [16, -24, 17, 6, 3],
 [26, -43, 15, -5, -4],
 [-26, 2, -4, 15, 21],
 [2, 17, -18, -19, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -26, 20, 30, -38],
 [18, -75, -14, 85, 13],
 [48, -17, 26, 39, 19],
 [75, -2, -21, 13, 75],
 [12, -72, -9, 71, -20]]

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


[User]
What is the rank of the matrix:
[[-26, -8, -1, -27, -15],
 [12, -10, -2, 6, 8],
 [-34, -26, 35, -27, -21],
 [28, -2, 14, 30, 16],
 [16, 21, -12, 18, 9]]?

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


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

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


[User]
What is the rank of the matrix:
[[-9, -6, 6, -12, -9],
 [12, 8, -8, 16, 12],
 [-18, -12, 12, -24, -18],
 [-12, -8, 8, -16, -12],
 [6, 4, -4, 8, 6]]?

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


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

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


[User]
Find the rank of the matrix:
[[-30, 12, 36, -18, -24],
 [5, -2, -6, 3, 4],
 [25, -10, -30, 15, 20],
 [-20, 8, 24, -12, -16],
 [10, -4, -12, 6, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-23, -17, -26, -18, -24],
 [-34, -3, -35, -23, -23],
 [6, 26, 12, 36, 8],
 [-10, 3, -8, 19, -14],
 [-11, -17, -13, 2, -21]]

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


[User]
Find the rank of the matrix:
[[-48, 21, 10, -39, -7],
 [22, -41, 0, 17, -17],
 [16, 14, -37, 23, -36],
 [-43, 13, 23, -50, 5],
 [6, -6, 15, -11, 18]]

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


[User]
Determine the rank of the following matrix:
[[-6, 4, 15, 7, 6],
 [13, -12, -35, -16, -13],
 [11, 16, -10, -7, -11],
 [10, 40, 10, 0, -10],
 [-30, 0, 60, 30, 30]]

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


[User]
Find the rank of the matrix:
[[-4, 48, -13, -26, 51],
 [38, -53, 35, 28, -31],
 [-40, 18, -48, -16, -12],
 [-14, 44, -30, -27, 42],
 [-29, 30, -2, -6, 22]]

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


[User]
What is the rank of the matrix:
[[36, 10, 42, 20, 36],
 [9, 11, 12, 4, 0],
 [1, 22, 5, -2, -22],
 [-9, -28, -15, -2, 18],
 [11, 4, 13, 6, 10]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -23, 23, 4, -6],
 [34, 31, -12, -21, 0],
 [32, -12, 28, 2, -16],
 [-106, -38, 0, -24, 50],
 [40, 41, -12, 54, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[66, 36, 46, -7, -31],
 [6, 1, 6, -2, -6],
 [30, 0, 34, -13, -37],
 [-42, -32, -22, -1, 7],
 [24, 24, 8, 4, 4]]

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


[User]
Find the rank of the matrix:
[[-72, 18, -5, -36, -73],
 [-63, 15, -35, -17, -54],
 [18, -5, 34, -1, 8],
 [21, -5, 27, 2, 18],
 [15, -3, 2, -5, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, 8, 28, 1, 19],
 [31, -12, -31, 0, -9],
 [7, -2, 0, 4, 7],
 [-28, 12, 33, 13, 10],
 [-16, 4, 15, -33, 18]]

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


[User]
Find the rank of the matrix:
[[-17, -34, 34, -18, -10],
 [-21, -23, 44, 63, 45],
 [7, 2, 8, -4, -15],
 [16, 24, -40, -32, -20],
 [-16, -37, 58, 9, -5]]

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


[User]
Find the rank of the matrix:
[[3, 6, 4, 6, 3],
 [0, -18, -9, -14, -5],
 [-39, -28, 9, 0, -38],
 [21, 19, 21, 29, 13],
 [9, -3, -12, -13, 8]]

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


[User]
Determine the rank of the following matrix:
[[-6, 66, -2, -12, -18],
 [-15, 39, 24, 9, 24],
 [3, -60, 11, 18, 42],
 [12, -24, -2, -6, -6],
 [2, 44, -20, -18, -38]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-28, 6, 2, -14, -16],
 [-6, 2, -6, -8, -2],
 [-2, 0, 4, 2, -2],
 [32, -6, -10, 10, 20],
 [30, -5, -15, 5, 20]]

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


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

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


[User]
Find the rank of the matrix:
[[11, -21, -1, -15, -17],
 [-7, -15, 16, -33, -14],
 [-8, 24, -4, 24, 20],
 [-22, -6, 28, -42, -8],
 [-14, -6, 19, -30, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, -22, 0, 7, 22],
 [-19, 14, 19, -5, 1],
 [16, -54, 64, 21, 4],
 [-63, -20, 17, 46, -56],
 [-31, 44, -43, -6, -54]]

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


[User]
What is the rank of the matrix:
[[1, 33, -40, -46, 4],
 [0, -14, 21, 16, 5],
 [-11, -12, -2, -16, 67],
 [-91, -47, -72, 44, 47],
 [-31, -25, -10, -18, 108]]?

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


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

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


[User]
Find the rank of the matrix:
[[-3, 22, 31, 2, 1],
 [7, -12, -46, -21, -5],
 [-12, 15, 28, -8, -20],
 [-3, 18, -44, -41, -23],
 [18, -17, 30, 4, 16]]

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


[User]
Find the rank of the matrix:
[[-18, 15, -24, -15, 41],
 [28, -25, -25, 27, 0],
 [-19, 32, 34, -20, -9],
 [14, -18, 67, 8, -77],
 [5, -64, -32, 10, -12]]

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


[User]
Determine the rank of the following matrix:
[[3, 24, -6, -30, -3],
 [2, 4, -16, 4, -14],
 [5, 22, -28, -14, -23],
 [5, 19, -31, -8, -26],
 [-3, -21, 9, 24, 6]]

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


[User]
Find the rank of the matrix:
[[25, 37, -4, -1, 20],
 [36, 24, -7, -1, 17],
 [32, -64, -8, -15, -43],
 [-48, -3, 13, 8, 3],
 [52, -54, -21, -16, -44]]

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


[User]
Find the rank of the matrix:
[[24, -15, 18, 0, -33],
 [39, 34, -1, -50, 16],
 [-55, 19, -31, -14, 53],
 [-34, 8, -16, -20, 26],
 [23, 1, 7, 14, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 10, 0, -7, -3],
 [-12, -24, -6, -17, -3],
 [36, 21, -6, -10, -15],
 [32, 33, 2, 1, -6],
 [-12, 19, 15, 25, 18]]

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


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

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


[User]
Find the rank of the matrix:
[[4, 8, 9, 21, 9],
 [15, -6, 5, -8, -6],
 [-40, -26, -75, -33, -21],
 [-1, -2, 0, -9, -3],
 [11, 4, 25, -10, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -29, -44, 6, -28],
 [-3, 24, 29, 7, 4],
 [-1, 39, 13, -25, 4],
 [-15, -50, -9, 16, -17],
 [8, 38, 41, 3, 29]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 21, -11, 5, -5],
 [-40, -51, -21, 43, -2],
 [16, 47, 7, -39, 17],
 [2, -11, 2, 17, -4],
 [-36, -62, -12, 34, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 8, -6, 10, 6],
 [4, 4, -3, 5, 3],
 [-12, -12, 9, -15, -9],
 [-16, -16, 12, -20, -12],
 [0, 0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[14, -19, 1, 14, 17],
 [-4, 23, -5, -34, -22],
 [-56, 2, 19, 20, 0],
 [-12, -10, 7, 20, 10],
 [-32, -3, 9, 66, 8]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-46, -12, -25, 2, -11],
 [0, -5, 1, 18, 4],
 [-44, -2, -40, -14, 6],
 [28, -21, 15, 0, 6],
 [-6, -3, 31, 43, -33]]

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


[User]
Find the rank of the matrix:
[[-15, 15, 12, 3, -3],
 [15, -15, -12, -3, 3],
 [25, -25, -20, -5, 5],
 [-20, 20, 16, 4, -4],
 [5, -5, -4, -1, 1]]

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


[User]
Find the rank of the matrix:
[[12, -22, 29, -31, -21],
 [2, 36, 2, -8, 22],
 [-6, 4, -14, 16, 6],
 [8, -38, 21, -19, -29],
 [-2, 48, -8, 2, 32]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-48, -22, 19, 40, -49],
 [-45, -14, -14, 5, -23],
 [-30, -14, 30, 38, -44],
 [36, 16, 45, 12, -7],
 [-3, -6, -20, -5, 13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, -21, 13, 25, -35],
 [14, -17, 2, 7, -34],
 [-17, 46, 1, 15, 13],
 [12, 14, 0, 19, -48],
 [-7, 1, 11, 21, -5]]

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