[User]
Compute the rank of the given 5x5 matrix:
[[18, -19, -4, 7, -22],
 [36, -38, -8, 14, -44],
 [-14, 12, 22, -26, 16],
 [45, -50, 7, -1, -56],
 [33, -34, -13, 19, -40]]

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


[User]
Find the rank of the matrix:
[[-12, -9, -42, -33, 48],
 [-21, -5, -9, -15, 17],
 [-45, -6, 10, -13, 5],
 [-24, -5, 15, -6, -28],
 [45, 4, -12, 9, -13]]

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


[User]
Determine the rank of the following matrix:
[[-24, 17, 10, -9, 36],
 [-42, -7, -17, 42, 81],
 [-23, -22, -19, 70, 71],
 [-19, 21, -12, -2, 31],
 [-3, 67, -52, -30, 0]]

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


[User]
What is the rank of the matrix:
[[-32, -4, -20, -36, 32],
 [1, 18, 9, 17, 1],
 [-9, 24, 13, 7, 3],
 [-12, 13, 13, -11, -4],
 [3, -29, -30, -9, 17]]?

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


[User]
What is the rank of the matrix:
[[14, 8, -26, 14, -14],
 [-1, -2, -1, 39, 11],
 [-2, 0, 6, -34, -6],
 [18, 12, -30, -30, -30],
 [22, 14, -38, -18, -32]]?

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


[User]
Determine the rank of the following matrix:
[[-8, -20, -5, 9, -5],
 [5, 12, 3, -5, 3],
 [1, 4, 1, -3, 1],
 [-1, -8, -2, 8, -2],
 [7, 24, 6, -16, 6]]

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


[User]
Determine the rank of the following matrix:
[[45, -64, 31, 35, 38],
 [-22, 10, -35, -42, 6],
 [38, -40, 36, 40, 4],
 [-15, 4, -37, -47, -6],
 [5, 0, 23, 29, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 25, -25, 25, -30],
 [0, 0, 0, 0, 0],
 [-18, 30, -30, 30, -36],
 [-6, 10, -10, 10, -12],
 [9, -15, 15, -15, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-68, 22, 16, 68, -46],
 [12, 36, 25, -73, -21],
 [-44, 28, 59, -5, -61],
 [-14, -3, -20, 48, 6],
 [-4, 14, 16, -2, -15]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[38, 7, -52, -22, 11],
 [78, -48, 14, -17, -34],
 [2, 8, -10, -3, 14],
 [-34, 35, -16, 6, 29],
 [-6, 3, 14, 6, -2]]?

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


[User]
Calculate the rank of matrix A where A =
[[-24, -21, 18, 9, 24],
 [9, -25, 18, 11, -5],
 [24, 26, -32, -20, -16],
 [-3, -12, 54, 36, 15],
 [-42, -35, 26, 17, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -1, 2, 17, -14],
 [-9, -5, -5, 17, -5],
 [0, 5, -1, 2, -4],
 [-48, 17, -37, 34, -4],
 [25, -35, 25, -5, 5]]

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


[User]
Determine the rank of the following matrix:
[[15, 61, 13, 7, 81],
 [-30, 14, 24, -31, 37],
 [14, 0, 12, -25, 22],
 [-32, -38, 28, -52, -12],
 [14, -20, 14, -54, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -24, -62, 12, -24],
 [17, 16, 34, -29, -17],
 [12, 22, 52, -18, 16],
 [7, -22, -64, 11, -7],
 [10, 13, 31, -31, -38]]

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


[User]
Determine the rank of the following matrix:
[[5, -25, 25, 0, 20],
 [4, -20, 20, 0, 16],
 [1, -5, 5, 0, 4],
 [-1, 5, -5, 0, -4],
 [-5, 25, -25, 0, -20]]

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


[User]
Find the rank of the matrix:
[[34, -13, 26, 23, 37],
 [32, 47, -28, 10, -21],
 [25, 32, -21, 12, -30],
 [21, 43, -29, 12, -35],
 [-5, -28, 41, 47, 40]]

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


[User]
Calculate the rank of matrix A where A =
[[-19, -29, -13, -17, -7],
 [-9, -20, -23, 18, 4],
 [-1, 17, 11, 4, -19],
 [-17, -3, 21, -30, -32],
 [-8, -15, -12, -9, 1]]

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


[User]
Find the rank of the matrix:
[[10, -2, -18, -9, -3],
 [-9, 16, 2, -24, 15],
 [7, 26, -40, 0, 14],
 [20, -51, 11, 20, -40],
 [18, -33, -3, -3, -6]]

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


[User]
What is the rank of the matrix:
[[9, 43, -15, -4, 17],
 [13, -12, -14, 7, -1],
 [38, -15, -43, 17, 4],
 [-23, -10, 28, -7, -9],
 [-30, 21, 33, -15, 0]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-8, 26, 13, 3, 39],
 [10, 12, -4, -53, -18],
 [10, 42, 14, -31, -20],
 [-10, -4, 6, 43, 24],
 [6, 4, -2, -21, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[28, 6, 32, -50, -8],
 [18, 15, -11, 5, 6],
 [30, 9, 27, -45, -6],
 [-6, -3, -2, 5, 0],
 [20, 6, 18, -30, -4]]

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


[User]
What is the rank of the matrix:
[[6, 0, 0, -5, 2],
 [-12, -6, -24, 31, -22],
 [-27, 6, -4, 26, 9],
 [51, -7, 20, -60, -4],
 [-21, 5, 4, 14, 8]]?

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


[User]
Determine the rank of the following matrix:
[[15, 4, 11, -6, 9],
 [24, 16, 14, -12, 12],
 [-12, 24, -19, -2, -14],
 [9, -12, 12, 0, 9],
 [-12, 24, -19, -2, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, -52, 15, 30, 34],
 [13, 42, -38, 20, -16],
 [-16, 33, -30, 4, 17],
 [-49, -4, -10, 4, 58],
 [2, 13, -6, -4, -3]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[21, -12, -42, -60, -6],
 [-40, 14, 48, 45, 12],
 [12, 4, -20, -24, 16],
 [54, -14, -62, -54, -8],
 [34, -18, -52, -63, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 10, 8, 16, 2],
 [15, 3, 15, 15, -6],
 [-5, 4, -1, 3, 3],
 [5, -14, -7, -19, -5],
 [30, 1, 26, 22, -13]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [6, -4, -5, -3, 5],
 [-6, 4, 5, 3, -5],
 [24, -16, -20, -12, 20],
 [30, -20, -25, -15, 25]]

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


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

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


[User]
What is the rank of the matrix:
[[18, 12, 24, 30, 12],
 [-27, -22, -32, -13, -8],
 [24, 20, 28, 8, 6],
 [15, 20, 10, -55, -15],
 [15, 18, 12, -39, -10]]?

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


[User]
Determine the rank of the following matrix:
[[-24, 0, -8, -4, -4],
 [24, -6, 1, -10, 11],
 [6, -6, -5, -13, 8],
 [4, -2, -1, -4, 3],
 [-26, 4, -4, 5, -9]]

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


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

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


[User]
What is the rank of the matrix:
[[8, -14, -11, -14, -27],
 [-15, 35, -24, -15, -10],
 [-5, 13, 32, 35, -46],
 [-17, 38, 18, 25, 42],
 [33, -21, 8, -9, -28]]?

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


[User]
Find the rank of the matrix:
[[-26, -4, -38, 27, 9],
 [43, 5, -74, -44, 57],
 [7, -34, 12, 25, -3],
 [43, 1, -46, -32, 41],
 [-52, -2, 0, 43, -21]]

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


[User]
Find the rank of the matrix:
[[-48, -12, -18, 30, 6],
 [31, -2, 20, -9, 1],
 [0, -16, 36, 20, 4],
 [-1, -31, 1, 30, 20],
 [-40, -10, -15, 25, 5]]

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


[User]
What is the rank of the matrix:
[[18, -20, -26, 26, 26],
 [0, 13, -38, 65, 47],
 [-4, -4, 24, -36, -28],
 [35, -37, -41, 32, 38],
 [-13, 13, 9, 0, -6]]?

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


[User]
Determine the rank of the following matrix:
[[26, -3, -29, -20, 42],
 [-3, 4, 2, 0, -6],
 [-26, 3, 29, 20, -42],
 [-6, 8, 4, 0, -12],
 [6, -27, 3, 12, 18]]

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


[User]
Find the rank of the matrix:
[[5, -30, 25, -15, -15],
 [7, 27, -10, 30, 18],
 [-13, 32, -35, 5, 13],
 [10, 32, -10, 38, 22],
 [-28, 30, -50, -18, 6]]

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


[User]
Find the rank of the matrix:
[[28, -31, -14, 5, -33],
 [25, -30, -20, 30, -30],
 [18, -19, -6, -7, -21],
 [18, -48, -22, 42, -50],
 [23, -44, -17, 19, -47]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, 13, -19, -27, 5],
 [36, 7, -29, -5, -10],
 [16, 20, 32, -20, 12],
 [-26, 4, -31, -26, 6],
 [-42, -14, 26, 14, 7]]

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


[User]
What is the rank of the matrix:
[[-3, 21, -3, -8, -10],
 [-4, -7, 3, -7, 0],
 [28, 3, -12, 58, 20],
 [-20, -7, -3, -27, 3],
 [28, 8, 6, 44, -1]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, -56, 12, -12, 52],
 [-13, 13, 4, -38, 11],
 [-4, -25, 3, -13, 24],
 [-16, -27, -15, 1, 8],
 [2, 48, -26, 34, -66]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-21, 39, 29, -3, -44],
 [52, -2, 24, -15, 36],
 [37, 25, 42, 18, -18],
 [-40, -20, -31, 2, 28],
 [-2, -16, -16, 40, -2]]

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


[User]
What is the rank of the matrix:
[[-30, 22, 42, 12, -50],
 [-11, -11, 26, -16, -16],
 [49, -7, 30, -10, 52],
 [9, -43, 18, -38, 2],
 [-12, 26, 50, -4, 13]]?

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


[User]
Determine the rank of the following matrix:
[[-9, -11, 16, -28, 19],
 [36, -1, -28, -5, 14],
 [-9, -6, 12, -15, 9],
 [-39, 4, 28, 13, -21],
 [0, 15, -12, 39, -30]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -12, 4, -48, 42],
 [8, -8, 6, -22, 37],
 [29, -3, 12, -1, 43],
 [1, -27, -22, -14, -13],
 [-67, 37, 18, -25, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[-27, -7, -17, -7, 32],
 [2, 51, -42, -31, 29],
 [45, -3, 39, 15, -30],
 [30, 32, -6, -20, 50],
 [34, 8, 22, 9, -39]]

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


[User]
Calculate the rank of matrix A where A =
[[-37, -27, 18, -9, -16],
 [5, -8, -39, 55, -7],
 [-16, -7, 24, 11, -7],
 [-39, 10, -47, 17, -16],
 [-64, 41, 46, -47, -9]]

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


[User]
Find the rank of the matrix:
[[5, -45, 23, 46, -23],
 [-21, 6, -39, -75, -6],
 [1, -9, 25, 63, 28],
 [10, 2, 0, -14, -22],
 [21, 30, -12, -33, -33]]

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


[User]
What is the rank of the matrix:
[[29, 32, 36, -35, -35],
 [75, -7, -45, 13, 16],
 [-50, -2, -1, 8, -11],
 [22, 0, 45, -28, -9],
 [2, 49, -12, -6, -16]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 39, -8, 29, 17],
 [24, 39, 12, -28, -39],
 [14, 0, 17, -50, -47],
 [30, -6, -31, 40, 53],
 [-64, 24, -4, 61, 23]]

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


[User]
What is the rank of the matrix:
[[-4, -8, -16, -14, -10],
 [-4, -25, 6, -2, -23],
 [0, 53, 17, -6, 53],
 [1, -12, 14, 2, -9],
 [7, 4, -13, -10, 3]]?

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


[User]
Determine the rank of the following matrix:
[[19, -22, -21, -34, -27],
 [-41, 11, 5, 4, -8],
 [42, 18, 2, 30, 28],
 [8, 19, 2, 22, 13],
 [-28, -23, 18, -14, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -18, -12, 12, -30],
 [16, 2, -12, 24, -30],
 [-3, -2, 2, -5, 5],
 [-21, -1, 16, -31, 40],
 [-3, 11, 4, -1, 10]]

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


[User]
What is the rank of the matrix:
[[-4, 0, -8, -12, 24],
 [-1, 0, -2, -3, 6],
 [-3, 0, -6, -9, 18],
 [-4, 0, -8, -12, 24],
 [5, 0, 10, 15, -30]]?

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


[User]
Find the rank of the matrix:
[[-17, 8, 17, -30, -36],
 [-26, 14, 11, -24, 27],
 [31, -18, -23, 40, 6],
 [19, 28, 38, 4, 9],
 [-35, 0, 0, -36, -15]]

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


[User]
Find the rank of the matrix:
[[-9, -11, -43, 57, -44],
 [10, -13, 23, -5, 38],
 [22, -32, -6, 46, 22],
 [40, -15, 15, -1, 40],
 [23, -21, -36, 58, -19]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-39, -7, 21, 15, 28],
 [-25, -25, 32, 2, 58],
 [33, 26, -21, -18, -14],
 [-9, -21, 18, 0, 30],
 [-3, -40, 18, 3, 16]]

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


[User]
Find the rank of the matrix:
[[0, 20, -22, -4, 39],
 [18, 11, -17, -3, 45],
 [15, 20, -9, 9, 33],
 [-24, 2, 16, 10, -45],
 [18, -19, 1, -9, 9]]

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


[User]
What is the rank of the matrix:
[[-17, 22, 28, 34, -36],
 [15, -38, 50, 38, 21],
 [-9, -40, 4, 7, 51],
 [-36, 52, -2, 16, -55],
 [16, 20, -12, -18, -24]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-19, -14, 26, -3, 4],
 [12, 15, -42, -9, -12],
 [-40, -20, -16, -30, -17],
 [-36, -37, 30, -1, 2],
 [36, 42, 12, 6, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 19, 10, 40, -4],
 [14, 11, 2, -4, 4],
 [15, 22, 10, 35, -2],
 [-15, -9, 0, 15, -6],
 [-16, -7, 2, 26, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[-13, 21, -10, -29, 17],
 [37, -45, -6, 11, -33],
 [35, -37, -8, -3, -34],
 [-23, 17, 8, -50, 30],
 [-40, 33, 52, 4, 16]]

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


[User]
Find the rank of the matrix:
[[32, -4, 26, 12, 40],
 [-21, 9, -50, 7, -22],
 [-23, 7, -40, 1, -26],
 [-34, 2, -16, -18, -44],
 [-27, 9, -51, 3, -30]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[10, 14, -6, 48, 8],
 [-12, -10, 26, -38, 24],
 [-11, -10, 19, -38, 14],
 [30, -9, -30, 36, -30],
 [-18, 30, -1, 23, 6]]

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


[User]
Determine the rank of the following matrix:
[[-45, 34, 30, -25, 42],
 [25, -25, -6, 2, -32],
 [13, 17, -26, -10, 28],
 [-30, -8, 21, -50, 8],
 [34, -13, -23, 13, -18]]

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


[User]
Find the rank of the matrix:
[[-36, 15, 12, 32, -14],
 [-22, 15, 14, 19, -13],
 [18, 3, 6, -17, -1],
 [38, -24, -22, -33, 21],
 [-12, -30, -36, 14, 22]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -20, 26, 2, 16],
 [30, -25, 45, 10, 20],
 [12, 10, 22, 20, -8],
 [9, -25, 10, -11, 20],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[12, -6, -6, -10, 2],
 [-12, 6, 6, 10, -2],
 [30, -15, -15, -25, 5],
 [0, 0, 0, 0, 0],
 [-12, 6, 6, 10, -2]]

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


[User]
Find the rank of the matrix:
[[16, -21, 36, 14, -47],
 [29, -9, 2, 8, 18],
 [-11, 22, -41, -14, 59],
 [35, -6, 25, 30, 13],
 [-21, -9, -24, -36, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -19, -13, -20, -6],
 [0, 15, 12, 12, 3],
 [-3, 29, 21, 28, 8],
 [15, 25, 31, -4, -6],
 [15, 10, 19, -16, -9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[16, -15, 15, 27, 19],
 [28, -8, 29, 41, 49],
 [3, 23, -9, 20, 25],
 [27, -34, 32, -9, 8],
 [6, -2, 6, -53, -13]]

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


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

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


[User]
Find the rank of the matrix:
[[-38, -68, 16, -28, -2],
 [24, 47, -17, 18, -1],
 [-3, 9, -10, 3, -5],
 [2, -34, -16, -26, 2],
 [16, -27, -7, -22, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -2, 19, 0, 8],
 [11, -7, -12, 28, -21],
 [-18, -5, 28, -38, 26],
 [16, -27, 23, 18, -11],
 [-36, -37, -28, -48, -14]]

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


[User]
What is the rank of the matrix:
[[21, -1, -17, 5, -37],
 [-23, 21, 33, -27, 23],
 [-18, 31, -14, -1, 15],
 [-12, -42, 27, -10, 23],
 [-11, 34, -31, 8, 4]]?

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


[User]
Find the rank of the matrix:
[[-30, -19, 29, -6, -24],
 [-2, 20, -9, -3, 4],
 [-16, 2, 0, -10, -8],
 [50, -15, -3, 28, 24],
 [-12, 3, -10, -13, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-11, -30, -7, 21, -1],
 [7, 4, -5, 1, -7],
 [36, 51, -15, 3, 30],
 [7, -3, -7, 0, -25],
 [40, 25, -32, 19, -10]]

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


[User]
Find the rank of the matrix:
[[12, 0, -4, 16, -16],
 [-18, 0, 6, -24, 24],
 [12, 0, -4, 16, -16],
 [6, 0, -2, 8, -8],
 [-15, 0, 5, -20, 20]]

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


[User]
Determine the rank of the following matrix:
[[-20, 13, -4, 9, 14],
 [-40, 19, -1, 27, 30],
 [-36, 29, -10, 25, 6],
 [16, 13, -17, -19, -38],
 [24, -32, 18, -8, 8]]

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


[User]
What is the rank of the matrix:
[[8, -12, -6, -2, -8],
 [-12, 18, 9, 3, 12],
 [-20, 30, 15, 5, 20],
 [4, -6, -3, -1, -4],
 [12, -18, -9, -3, -12]]?

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


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

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


[User]
What is the rank of the matrix:
[[-28, -6, -19, 6, 22],
 [12, 18, 9, 1, 13],
 [-51, -39, 1, 42, -41],
 [44, -56, -12, -33, -3],
 [3, 25, 16, 13, 6]]?

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


[User]
What is the rank of the matrix:
[[15, -13, 18, 18, 33],
 [-41, 2, 10, 54, -33],
 [57, -13, -18, -8, 43],
 [-14, -28, 36, 17, 32],
 [-27, 48, 22, 11, -37]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 30, 20, -25, 0],
 [-10, -18, 28, 7, 20],
 [8, 24, 16, -20, 0],
 [-21, -48, 18, 30, 25],
 [14, 24, -44, -8, -30]]

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


[User]
Find the rank of the matrix:
[[-10, 26, -7, 21, -1],
 [54, -24, 6, -12, -18],
 [15, -29, 5, -22, 3],
 [-39, -16, 14, -23, 8],
 [-29, 9, -16, 7, 28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 18, -32, -30, -22],
 [-10, -8, -13, -10, -19],
 [-4, 32, -18, -20, 2],
 [-8, 9, -16, -15, -11],
 [2, 17, -3, -5, 8]]

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


[User]
What is the rank of the matrix:
[[32, -33, -41, 13, -42],
 [18, -33, -29, -19, -30],
 [-24, 21, 29, -17, 30],
 [25, -25, -31, 13, -33],
 [19, -22, -24, 6, -27]]?

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


[User]
Determine the rank of the following matrix:
[[-18, -1, -26, 1, 17],
 [25, -8, -46, -26, 41],
 [-9, 15, -8, -17, -10],
 [-10, 33, 10, -1, 13],
 [-6, 44, 28, 4, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[24, -24, 5, -12, 8],
 [-20, 22, 35, 40, 20],
 [-32, 32, -15, 12, -16],
 [52, -46, 20, 12, 28],
 [29, -28, -15, -19, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-29, 30, -24, 13, 2],
 [-18, 8, -42, 16, 14],
 [9, 4, 32, -13, -2],
 [-36, 47, -16, 10, 8],
 [24, -26, 18, -10, -2]]

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


[User]
What is the rank of the matrix:
[[10, -12, -12, -30, 34],
 [10, -3, -12, -12, 19],
 [-30, -9, 36, 0, -27],
 [15, 6, -18, 3, 11],
 [15, 24, -18, 39, -19]]?

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


[User]
Find the rank of the matrix:
[[6, -1, -4, -3, 13],
 [-3, -25, -19, -21, 28],
 [16, 3, -6, -3, 27],
 [19, 45, 27, 33, -24],
 [18, -3, -12, -9, 39]]

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


[User]
Determine the rank of the following matrix:
[[24, -16, 20, 10, 17],
 [-27, 33, -33, -19, -10],
 [9, 15, 17, -23, 35],
 [3, -13, 31, -95, 31],
 [-18, 59, -30, 7, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 5, 13, -11, 3],
 [18, -6, -18, 18, 6],
 [6, 5, 29, -7, 11],
 [16, -12, -6, 42, 24],
 [7, 0, -7, -1, -2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[26, -22, 16, 6, 28],
 [-2, 1, -4, 12, 11],
 [-2, 2, 0, -6, -8],
 [-8, 6, -8, 12, 6],
 [-18, 14, -16, 18, 4]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-33, -6, 3, -6, -18],
 [-7, 11, -3, -14, 18],
 [-6, -6, 2, 4, -12],
 [5, -31, 9, 34, -54],
 [22, 4, -2, 4, 12]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, -48, -15, -37, 21],
 [-54, 4, -10, -22, 15],
 [-21, -24, -13, -15, 17],
 [-15, -20, -3, -37, 7],
 [39, 8, 15, 5, -19]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 15, -21, 42, -15],
 [-3, -7, -1, -1, -5],
 [12, -10, 14, -28, 10],
 [3, -12, 6, -15, 0],
 [7, -9, 9, -19, 5]]

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


[User]
Find the rank of the matrix:
[[23, -9, 22, 50, 54],
 [-24, 16, 38, 40, 30],
 [21, 37, 6, 3, -32],
 [24, 6, -18, -21, -36],
 [28, -18, -1, 10, -9]]

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


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

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


[User]
What is the rank of the matrix:
[[-11, -32, 37, 19, -44],
 [-17, -6, 2, -22, 8],
 [42, -26, 29, 17, -4],
 [-21, 6, -11, -26, 16],
 [37, -12, 19, 37, -20]]?

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


[User]
Determine the rank of the following matrix:
[[15, 2, 22, -6, 18],
 [4, -44, -24, -24, 24],
 [-50, 11, -8, -8, 8],
 [15, 11, -6, 22, -34],
 [0, 15, 21, 0, 9]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 20, -11, 48, 12],
 [14, 20, 3, 9, -24],
 [14, -13, 3, -57, -3],
 [-45, -52, 2, -15, 60],
 [17, -7, 1, -36, -21]]

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


[User]
What is the rank of the matrix:
[[-55, 21, 25, 29, -35],
 [14, 37, -37, 22, -26],
 [0, 29, 0, 36, -27],
 [9, -23, 19, -9, 13],
 [1, 20, -31, -1, -6]]?

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


[User]
Determine the rank of the following matrix:
[[2, 17, -7, -26, 4],
 [8, 11, 29, -9, -22],
 [10, 37, 13, -50, -12],
 [0, -6, 6, 10, -4],
 [-8, -14, -26, 14, 20]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, -9, 9, -11, -27],
 [-8, 4, 10, -20, -16],
 [8, -22, -1, 14, -20],
 [5, -25, 5, 5, -35],
 [-6, 0, 9, -16, -18]]?

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


[User]
Calculate the rank of matrix A where A =
[[30, -25, -10, -17, 5],
 [12, -36, 0, -12, -24],
 [8, 18, -7, -1, 26],
 [12, 18, -4, 10, 30],
 [38, -27, -12, -17, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[-28, -27, -40, -18, -18],
 [10, 0, 2, 40, 20],
 [-9, 24, 11, -36, -6],
 [44, 54, 65, 19, 10],
 [-43, -18, -50, -29, -21]]

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


[User]
Find the rank of the matrix:
[[3, -7, -1, 5, 8],
 [-9, 25, -8, -11, -17],
 [2, -10, 14, -2, -4],
 [-2, 18, -36, 10, 18],
 [-13, 37, -14, -15, -23]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[48, 33, 30, -49, -43],
 [-47, 60, -20, -39, -45],
 [23, -15, -49, -41, -48],
 [-32, 3, -65, -24, -38],
 [-13, 15, 5, -11, -5]]

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


[User]
What is the rank of the matrix:
[[46, 15, 18, 16, -21],
 [-23, -4, -15, 19, 43],
 [7, -9, 5, 9, 28],
 [-44, -25, -12, -26, 25],
 [-8, 0, -9, 25, 39]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 49, -23, 21, -48],
 [-28, -33, 11, -17, 36],
 [-3, -17, 10, -6, 15],
 [-19, -40, 19, -17, 39],
 [-25, -16, 1, -11, 21]]

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


[User]
Find the rank of the matrix:
[[-21, -12, 46, 27, 17],
 [20, -6, -14, -21, 0],
 [15, -13, -20, -33, 5],
 [-19, -26, 14, -15, 23],
 [-24, -25, 56, 21, 28]]

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


[User]
Find the rank of the matrix:
[[-46, 51, -3, 45, -50],
 [10, -10, -8, -10, 16],
 [-23, 19, 20, 13, -6],
 [-7, 7, 0, 5, -2],
 [55, -62, 19, -51, 43]]

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


[User]
Find the rank of the matrix:
[[2, -14, 40, -28, 18],
 [40, -28, 24, 10, -36],
 [48, -26, 4, 25, -30],
 [31, -9, -21, 35, -39],
 [-13, 1, 19, -16, -9]]

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


[User]
What is the rank of the matrix:
[[24, 1, -4, 11, -49],
 [32, -1, -26, 22, -26],
 [-1, -32, -76, 41, -25],
 [-12, 38, 72, -48, 38],
 [-44, 16, 28, -34, -30]]?

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


[User]
Find the rank of the matrix:
[[24, -9, 6, -13, -13],
 [0, 0, 0, 0, 0],
 [0, 25, 10, 5, 5],
 [-30, 0, -12, 14, 14],
 [-24, 29, 2, 17, 17]]

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


[User]
What is the rank of the matrix:
[[-39, 57, -9, 9, 16],
 [18, -31, -5, 5, -2],
 [-23, -8, -38, 38, 10],
 [-47, 48, -7, 7, 0],
 [-6, -30, 0, 0, -28]]?

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


[User]
What is the rank of the matrix:
[[-3, 19, -18, 28, 1],
 [-18, -30, -12, 24, 6],
 [-15, -19, -14, 26, 5],
 [9, 9, 10, -18, -3],
 [6, 46, -20, 28, -2]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, -7, 10, 10, -28],
 [-18, 0, 10, -10, 24],
 [-33, -62, 10, 45, -38],
 [-42, -29, 25, 9, 4],
 [-18, -51, 5, 43, -48]]

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


[User]
Determine the rank of the following matrix:
[[36, 7, -13, 8, 36],
 [-6, -12, 13, -10, -6],
 [-30, 15, -10, 10, -30],
 [-6, -17, 18, -14, -6],
 [18, 21, -24, 18, 18]]

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


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

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


[User]
What is the rank of the matrix:
[[21, 21, 6, 30, 12],
 [0, 0, 0, 0, 0],
 [-17, -18, -6, -26, -12],
 [0, -14, -16, -24, -32],
 [-12, -23, -16, -36, -32]]?

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


[User]
Determine the rank of the following matrix:
[[33, 15, 35, -25, -18],
 [11, 16, -3, -13, -3],
 [14, 1, 22, -16, -23],
 [-18, -9, -18, -4, -23],
 [20, 46, -28, 0, 55]]

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


[User]
Determine the rank of the following matrix:
[[22, -1, 30, 0, -39],
 [-22, 1, -30, 0, 39],
 [2, -3, -6, 0, -21],
 [4, 2, 12, 0, 6],
 [18, -1, 24, 0, -33]]

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[User]
Calculate the rank of matrix A where A =
[[-4, 10, 0, -24, 13],
 [27, 17, -30, -32, 46],
 [-13, -7, 3, 30, -23],
 [14, -10, 31, -44, -16],
 [-8, -16, 40, -18, -49]]

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

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