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

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


[User]
Find the rank of the matrix:
[[14, -44, 26, 12, 8],
 [6, -16, 12, 6, 6],
 [8, -28, 14, 6, 2],
 [2, -12, 2, 0, -4],
 [11, -36, 20, 9, 5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-13, -17, 9, 29, 29],
 [2, -22, 0, 12, 6],
 [-30, -12, 4, 26, 22],
 [-28, -5, 8, 27, 28],
 [0, -22, -14, -8, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -5, -19, 2, -16],
 [-29, 26, -53, 16, 48],
 [29, 13, -10, 38, -54],
 [-8, 1, 12, 30, -18],
 [-10, -6, -32, 28, -12]]

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


[User]
Determine the rank of the following matrix:
[[3, 42, -24, 47, -20],
 [14, 20, 35, -2, -30],
 [-8, -32, 10, -40, 12],
 [-1, -31, -24, 18, 58],
 [-11, -11, -52, 32, 42]]

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


[User]
Find the rank of the matrix:
[[10, 39, -17, 15, -21],
 [4, -39, -2, -2, 3],
 [-10, 55, 5, 5, -5],
 [-26, 62, 19, 3, 2],
 [-18, -7, 3, 19, -13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -3, 2, 0, -5],
 [-24, 18, -12, 0, 30],
 [-20, 15, -10, 0, 25],
 [-24, 18, -12, 0, 30],
 [-20, 15, -10, 0, 25]]

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


[User]
What is the rank of the matrix:
[[-33, -16, -37, -25, -19],
 [-1, -5, -16, -4, 19],
 [5, 16, -1, 33, 35],
 [10, -19, 14, -12, -2],
 [-11, 39, -60, -6, 25]]?

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


[User]
Determine the rank of the following matrix:
[[-18, 18, -24, 6, -12],
 [42, 9, 47, -17, 31],
 [9, -33, -12, -11, -6],
 [33, 24, 41, -12, 28],
 [-18, 21, -9, 11, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[36, 18, 9, -19, -33],
 [-5, -15, -16, 14, -4],
 [41, 21, 4, -15, -38],
 [-10, -18, -11, 10, 1],
 [0, 20, 35, -30, 15]]

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


[User]
What is the rank of the matrix:
[[-4, -4, 12, 8, 0],
 [-9, -1, 15, 14, -12],
 [-6, -4, 15, 11, -3],
 [-6, -6, 18, 12, 0],
 [1, -5, 6, 1, 9]]?

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


[User]
Determine the rank of the following matrix:
[[12, -12, 20, 38, 20],
 [-30, 3, 3, -39, -19],
 [-9, -9, 4, -11, 1],
 [12, 51, -29, -2, -31],
 [49, -28, -7, 54, 44]]

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


[User]
Find the rank of the matrix:
[[0, -10, -4, -12, -10],
 [0, 10, 4, 12, 10],
 [0, -25, -10, -30, -25],
 [0, -30, -12, -36, -30],
 [0, 20, 8, 24, 20]]

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


[User]
Find the rank of the matrix:
[[-24, -4, 17, 22, 19],
 [3, -2, 1, 6, 2],
 [-39, 2, 17, 6, 16],
 [-36, 0, 18, 12, 18],
 [-12, 8, -4, -24, -8]]

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


[User]
Determine the rank of the following matrix:
[[24, 72, 0, 48, 102],
 [-42, 57, -71, -31, 10],
 [5, -14, 38, 51, 22],
 [6, 20, -10, -10, 1],
 [20, 4, -6, -20, 17]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[5, 0, -1, -5, -2],
 [-31, 18, -1, 25, -2],
 [-22, 36, -10, 10, -20],
 [-32, 6, 4, 30, 8],
 [-7, -24, 11, 15, 22]]?

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


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

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


[User]
What is the rank of the matrix:
[[-3, -39, -21, -24, 51],
 [12, -34, -36, 2, 10],
 [-45, -1, 3, -19, 58],
 [58, -30, -42, 20, -46],
 [-3, 13, 3, 10, -15]]?

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


[User]
Determine the rank of the following matrix:
[[-14, -27, 16, -10, 6],
 [26, 9, -1, -2, 18],
 [-6, -24, 22, 30, -28],
 [33, 2, -2, -53, 74],
 [-3, -39, 32, 15, -8]]

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


[User]
Find the rank of the matrix:
[[18, 10, -5, -5, 12],
 [-43, -36, 50, 15, 23],
 [-32, 10, -30, 38, -18],
 [8, -13, -34, -22, -23],
 [30, 38, -45, -7, -40]]

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


[User]
Determine the rank of the following matrix:
[[-20, 30, 0, 27, -41],
 [-21, -12, 9, -2, 15],
 [-15, 0, 3, 3, 2],
 [64, 0, -8, -37, 15],
 [9, -18, -17, -2, 21]]

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


[User]
Find the rank of the matrix:
[[26, 66, -12, 40, 46],
 [32, -32, 16, 16, -6],
 [54, 22, -52, 56, 60],
 [15, 39, 22, 20, 13],
 [-14, 17, 26, -10, -12]]

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


[User]
What is the rank of the matrix:
[[-14, 15, -59, 66, 45],
 [-29, -8, -8, -9, -33],
 [0, -5, -29, 31, 0],
 [15, 18, 35, -25, 35],
 [-41, 19, -73, 67, 30]]?

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


[User]
Calculate the rank of matrix A where A =
[[-11, 7, -7, -12, -12],
 [34, 32, 22, -14, 8],
 [-14, -16, -39, -24, -5],
 [-80, -15, -50, 15, -30],
 [1, -19, -11, 10, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[18, 33, -54, -6, -21],
 [0, 15, -19, 11, -25],
 [15, 39, -57, -15, 3],
 [-7, -5, 9, 23, -37],
 [36, -29, 5, -29, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[18, 4, -17, -7, -24],
 [44, 11, -41, 18, -57],
 [-19, -2, -1, 16, 13],
 [-22, 0, -30, -16, -10],
 [35, 5, -16, 22, -18]]

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


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

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


[User]
Find the rank of the matrix:
[[-40, -50, 30, -20, -10],
 [9, 18, -3, 3, 3],
 [21, 24, -17, 11, 5],
 [-4, -14, -2, 0, -2],
 [16, 2, -22, 12, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[23, 4, -60, -37, 3],
 [-3, 2, 26, 13, 11],
 [-23, 52, 8, 23, 23],
 [-22, 36, 34, 30, 16],
 [21, -21, -51, -33, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -12, -8, -4, 27],
 [-22, 11, -26, 22, -31],
 [-50, 0, -40, 16, 9],
 [-35, -24, -36, 22, -2],
 [-7, -2, -8, 6, -5]]

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


[User]
Find the rank of the matrix:
[[11, 21, 18, 14, -20],
 [-3, 34, -30, -8, -5],
 [-14, 13, -48, -22, 15],
 [0, 38, -24, -4, -10],
 [10, -12, 36, 16, -10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, -6, -6, -8, 34],
 [-4, -28, 44, -12, 0],
 [11, 13, -38, 6, 0],
 [-12, 14, 2, 16, -62],
 [-3, 33, -39, 21, -42]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-49, 61, -56, 70, -17],
 [-25, 41, -48, 38, -16],
 [0, 13, 0, 19, 19],
 [-10, 15, -42, 0, -33],
 [26, 1, 54, 10, 70]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 6, 9, 6, 6],
 [-4, -2, -3, -2, -2],
 [20, 10, 15, 10, 10],
 [16, 8, 12, 8, 8],
 [0, 0, 0, 0, 0]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-23, 8, 4, -1, -11],
 [8, -30, -22, 11, 3],
 [5, -55, -10, 27, -11],
 [-46, -16, -40, 6, -14],
 [19, -15, -26, 1, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -6, -36, 0, -27],
 [21, 10, -3, 18, 0],
 [-27, -6, 27, -18, 18],
 [-32, -16, 2, -28, -2],
 [-13, -2, 16, -8, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -5, 2, 10, 50],
 [12, 4, 14, 50, 32],
 [7, 5, 5, 11, 20],
 [2, -22, -9, -3, -6],
 [-2, -10, -13, -39, -10]]

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


[User]
Determine the rank of the following matrix:
[[-16, -57, -4, 29, -36],
 [-42, -21, -7, 23, 25],
 [-28, 2, -19, 2, 51],
 [-18, -52, -16, 26, -9],
 [2, 72, 12, -30, 47]]

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


[User]
Find the rank of the matrix:
[[1, 32, 34, -9, 22],
 [-31, -18, -17, -9, -7],
 [-42, 54, -41, -19, 29],
 [-7, 6, 55, -15, 17],
 [24, -8, 20, 8, -4]]

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


[User]
What is the rank of the matrix:
[[-37, -12, -29, -10, 10],
 [-7, -30, -6, 13, 6],
 [-23, -6, -18, -7, 6],
 [3, -18, 2, 11, 2],
 [39, -18, 30, 27, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-32, -19, 4, -19, 11],
 [-28, 28, 50, 25, 10],
 [-38, 8, 34, -11, -4],
 [30, 11, -1, 11, -5],
 [-20, -19, -31, -4, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -12, 6, -3, -3],
 [-36, 24, -12, 6, 6],
 [30, -20, 10, -5, -5],
 [24, -16, 8, -4, -4],
 [30, -20, 10, -5, -5]]

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


[User]
Determine the rank of the following matrix:
[[-12, -15, 7, 7, 6],
 [1, -29, 48, 11, 21],
 [13, -33, 78, 7, 9],
 [7, -10, -49, 34, -1],
 [-25, 37, -12, -43, 11]]

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


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

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


[User]
Find the rank of the matrix:
[[-50, 13, -20, -11, -6],
 [-15, 27, 64, 3, -13],
 [12, -4, 2, -1, 4],
 [-21, 3, -16, -9, 1],
 [15, 12, 54, 3, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 8, -8, 9, 3],
 [-34, 15, -24, -32, -31],
 [-26, 39, -10, -6, -37],
 [-28, 2, -14, -18, -20],
 [-36, 56, -14, -16, -56]]

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


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

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


[User]
What is the rank of the matrix:
[[54, -42, -33, -10, -20],
 [-28, 33, 19, 17, 9],
 [-28, 13, -25, 29, 29],
 [-3, 17, 26, -5, -18],
 [-29, 12, 17, -6, 13]]?

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


[User]
Calculate the rank of matrix A where A =
[[-5, 1, 3, 5, 4],
 [-5, 1, 3, 5, 4],
 [-5, 1, 3, 5, 4],
 [5, -1, -3, -5, -4],
 [25, -5, -15, -25, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 4, -14, 4, -2],
 [-13, 5, -12, 0, -7],
 [7, -7, 8, 8, 17],
 [-5, 3, -5, -2, -6],
 [-33, 3, -27, 18, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 8, 15, -13, 19],
 [7, 11, 5, -14, 13],
 [7, 20, 25, -28, 37],
 [15, 35, 25, -45, 49],
 [0, -21, 20, 16, 0]]

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


[User]
Find the rank of the matrix:
[[6, -41, -31, 22, 15],
 [28, -17, -43, 50, -17],
 [-12, 13, -5, -4, -1],
 [-6, -21, 19, -34, 25],
 [35, -59, -10, 4, 18]]

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


[User]
Determine the rank of the following matrix:
[[20, 16, 11, 34, 19],
 [16, 15, 11, 36, 2],
 [-8, -5, -3, -8, -16],
 [16, 16, 12, 40, -4],
 [-8, -5, -3, -8, -16]]

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


[User]
Determine the rank of the following matrix:
[[0, 29, 40, 28, -5],
 [13, -6, -2, -4, 10],
 [35, -5, 10, 0, 25],
 [7, -1, 2, 0, 5],
 [-20, 7, 0, 4, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, 25, 20, -29, -19],
 [14, -8, -40, 10, 32],
 [8, 21, 28, -27, -23],
 [6, 3, -6, -3, 4],
 [13, -19, -32, 8, 37]]

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


[User]
What is the rank of the matrix:
[[4, 4, -2, -2, -5],
 [-4, -4, 2, 2, 5],
 [12, 12, -6, -6, -15],
 [20, 20, -10, -10, -25],
 [-16, -16, 8, 8, 20]]?

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


[User]
Determine the rank of the following matrix:
[[36, 18, -18, 18, -30],
 [36, 18, -18, 18, -30],
 [36, 18, -18, 18, -30],
 [30, 15, -15, 15, -25],
 [-18, -9, 9, -9, 15]]

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


[User]
Determine the rank of the following matrix:
[[-57, 24, 0, -35, -38],
 [24, -12, 12, -20, 4],
 [39, -9, 21, -16, 13],
 [-6, 36, 26, -6, -2],
 [69, -39, -5, 36, 43]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [5, 1, -6, 4, -6],
 [-22, 11, -17, 30, 18],
 [-16, 10, -18, 28, 12],
 [-28, 12, -16, 32, 24]]

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


[User]
Determine the rank of the following matrix:
[[-8, 4, -10, 2, -4],
 [24, -5, 2, 15, -16],
 [-16, 5, -8, -5, 4],
 [-16, -3, 24, -29, 36],
 [-20, -2, 23, -31, 38]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -12, -34, -2, 24],
 [11, 13, 14, 9, -4],
 [-6, -12, -12, -10, 5],
 [-12, -31, -28, 15, 11],
 [27, 4, -18, 34, 35]]

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


[User]
Find the rank of the matrix:
[[6, 0, -30, -24, 6],
 [-3, 0, 15, 12, -3],
 [-2, 0, 10, 8, -2],
 [-5, 0, 25, 20, -5],
 [-2, 0, 10, 8, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -4, -4, -14, -9],
 [-31, -20, 8, -28, -31],
 [19, 12, -4, 18, 19],
 [0, 0, 0, 0, 0],
 [-35, -24, 14, -27, -35]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-18, 24, 39, -22, 41],
 [-9, 75, -11, -14, -15],
 [-40, -12, -6, -4, -11],
 [24, 30, -11, -25, 43],
 [-10, 38, -6, 6, -36]]

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


[User]
Determine the rank of the following matrix:
[[-31, -8, -3, 31, -27],
 [31, 7, -37, 1, 22],
 [5, 23, -5, -27, 40],
 [-62, 2, 4, 37, -29],
 [26, -15, -28, -14, 33]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, 4, -16, -8, 16],
 [12, 18, -12, -15, -15],
 [23, 37, -28, -32, -26],
 [8, 12, -8, -10, -10],
 [27, 33, -12, -24, -42]]?

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


[User]
Find the rank of the matrix:
[[41, -34, -50, -1, 4],
 [-24, 32, 34, 31, 20],
 [-36, 33, 33, 12, 18],
 [-32, 18, 18, -16, 4],
 [-34, 20, 24, -16, 0]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[18, 59, -26, -28, -1],
 [-9, 27, -3, 9, 18],
 [-14, -43, 6, 44, -7],
 [6, 2, -30, 4, -22],
 [19, -13, -7, -19, -25]]?

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


[User]
Determine the rank of the following matrix:
[[-12, -41, -34, 8, 26],
 [-11, 12, 15, 3, -3],
 [-28, -29, -13, 23, 20],
 [10, 14, 7, -11, -8],
 [-34, -42, -24, 24, 30]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 0, 0, 24, 12],
 [16, 20, -16, -16, 10],
 [-2, 10, -8, 2, 10],
 [30, 30, -24, -30, 12],
 [-25, -5, 4, 25, 8]]

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


[User]
What is the rank of the matrix:
[[6, 6, -12, -6, 18],
 [-2, -2, 4, 2, -6],
 [-6, -6, 12, 6, -18],
 [-3, -3, 6, 3, -9],
 [0, 0, 0, 0, 0]]?

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


[User]
Determine the rank of the following matrix:
[[4, -7, -46, -31, 0],
 [16, 16, -8, 8, 0],
 [-48, -48, 24, -24, 0],
 [32, 36, 0, 28, 0],
 [-32, -28, 32, -4, 0]]

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


[User]
Determine the rank of the following matrix:
[[0, -20, 20, -50, 15],
 [0, -20, 12, -34, -1],
 [0, 20, 2, 6, 29],
 [0, 24, 0, 12, 30],
 [0, 0, -12, 24, -24]]

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


[User]
Find the rank of the matrix:
[[22, 21, 21, 26, -11],
 [-21, 45, 2, -2, -20],
 [9, -12, -7, 16, -23],
 [-15, -54, -33, -24, 9],
 [-20, -12, -12, -28, 22]]

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


[User]
Find the rank of the matrix:
[[8, -4, 22, 10, -7],
 [16, -30, -15, 16, 10],
 [26, 7, 11, -3, -31],
 [16, -32, 3, 31, 16],
 [12, -6, 1, -3, -13]]

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[User]
Calculate the rank of matrix A where A =
[[55, -51, 38, -12, 24],
 [10, -11, 3, -21, -9],
 [31, -11, -6, -8, 35],
 [-32, 44, -26, 40, 8],
 [-6, 3, -38, -41, 25]]

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


[User]
Find the rank of the matrix:
[[10, -4, 4, -8, 10],
 [-5, 6, 4, -3, 0],
 [-50, 40, 10, 5, -25],
 [-45, 30, 0, 15, -30],
 [15, -6, 6, -12, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 13, 17, -6, -24],
 [-11, -43, 9, -2, 12],
 [-28, -60, 20, 30, -66],
 [16, 56, 0, -20, 12],
 [6, -16, -38, 24, 24]]

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[User]
Calculate the rank of matrix A where A =
[[-3, -18, 43, -81, -21],
 [32, 14, -3, 12, -12],
 [26, -10, -9, 30, 30],
 [-16, -4, -8, 12, 12],
 [-20, -32, 8, -12, 36]]

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


[User]
What is the rank of the matrix:
[[24, 14, 10, -4, 22],
 [0, 7, -9, 11, -6],
 [27, 18, 3, -6, 21],
 [27, 12, 25, -2, 31],
 [-22, -22, -20, -32, -20]]?

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[User]
Determine the rank of the following matrix:
[[6, 5, 2, -4, 3],
 [36, 30, 4, -24, 15],
 [-66, -55, 26, 44, -15],
 [36, 30, -20, -24, 6],
 [30, 25, -38, -20, -3]]

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


[User]
Find the rank of the matrix:
[[-12, 12, -36, 18, 36],
 [-8, 8, -24, 12, 24],
 [-12, 12, -36, 18, 36],
 [6, -6, 18, -9, -18],
 [2, -2, 6, -3, -6]]

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


[User]
What is the rank of the matrix:
[[-15, 32, 13, 35, -13],
 [-8, 34, 21, 23, -20],
 [-15, -14, -26, 22, 7],
 [26, 5, 16, 14, -22],
 [-5, 37, 26, 20, -23]]?

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


[User]
Find the rank of the matrix:
[[24, -8, -16, -30, -42],
 [20, 8, -4, -5, -43],
 [-30, -5, 15, 25, 55],
 [4, -8, 4, 5, -17],
 [-18, -24, 12, 15, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 15, -15, 15, 0],
 [12, 15, -15, 15, 0],
 [0, 0, 0, 0, 0],
 [12, 15, -15, 15, 0],
 [-12, -15, 15, -15, 0]]

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


[User]
Find the rank of the matrix:
[[-5, 8, 2, 28, -21],
 [-40, -15, 20, 12, 2],
 [-15, 14, 12, 44, -31],
 [15, -1, 5, 6, 8],
 [0, -5, 34, 12, 22]]

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[User]
What is the rank of the matrix:
[[8, -9, 3, -5, 10],
 [-5, 31, -8, 11, -36],
 [-12, -30, 6, -6, 36],
 [0, -29, 7, -9, 34],
 [1, -12, 3, -4, 14]]?

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


[User]
Find the rank of the matrix:
[[1, -21, -19, 10, 13],
 [-2, -10, -10, -6, 12],
 [25, -17, 1, 0, -25],
 [18, -14, 0, -14, -14],
 [-38, -16, -43, 57, 60]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -24, -4, 20, -16],
 [12, 16, 8, -10, 10],
 [-9, 6, -15, -15, 6],
 [-15, 10, -25, -25, 10],
 [-30, -4, -38, -20, 2]]

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[User]
Calculate the rank of matrix A where A =
[[5, 5, 2, -1, 0],
 [10, -2, 1, -8, -12],
 [20, 0, 3, -14, -20],
 [5, -7, -1, -7, -12],
 [-15, -23, -8, -1, -8]]

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


[User]
Find the rank of the matrix:
[[-8, -55, 37, 53, 15],
 [26, 5, -65, -34, -25],
 [7, 30, -30, -28, -5],
 [10, -35, -1, 2, -25],
 [1, -45, 15, 31, 0]]

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


[User]
Find the rank of the matrix:
[[28, 10, -14, -7, -2],
 [-41, 2, -28, -1, 16],
 [-3, -24, 6, 6, 10],
 [-3, 42, -24, -13, 16],
 [-21, 5, -16, -1, -7]]

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


[User]
What is the rank of the matrix:
[[24, 18, 18, 18, -6],
 [-1, 5, -2, 5, 2],
 [-16, 11, -17, 11, 11],
 [-24, 28, -28, 28, 20],
 [5, 21, 0, 21, 4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-1, -7, 2, 0, 0],
 [-11, 20, 19, -17, -39],
 [27, -22, -33, 47, 75],
 [1, 7, -2, 0, 0],
 [-15, -13, 36, -10, -43]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -12, 7, -11, 13],
 [-3, 3, 1, 4, 1],
 [10, -4, 6, -2, 10],
 [-28, 4, -28, -8, -44],
 [-1, 4, 5, 7, 7]]

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


[User]
What is the rank of the matrix:
[[2, 26, -8, 14, 24],
 [6, -18, 0, -6, -48],
 [24, -3, -21, 3, -62],
 [13, 33, -18, 23, -14],
 [-4, -21, 9, -11, -18]]?

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


[User]
Find the rank of the matrix:
[[-26, 0, 24, -1, 22],
 [-12, 4, 8, 2, 8],
 [-18, 6, 12, 3, 12],
 [-12, -9, 18, -6, 15],
 [-28, 18, 12, 10, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[41, 32, -28, -19, 18],
 [21, -4, -1, -30, 10],
 [13, -24, -28, -51, 4],
 [6, 34, 25, 38, 6],
 [-1, 38, -4, 44, 0]]

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


[User]
What is the rank of the matrix:
[[-44, -4, -35, -11, 16],
 [-9, 39, 7, 2, -27],
 [-14, 34, 43, -21, -14],
 [58, -31, -19, 51, -14],
 [7, -19, 9, -4, 13]]?

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


[User]
Determine the rank of the following matrix:
[[-16, 18, -28, 16, 16],
 [-4, -6, 21, -3, -24],
 [12, -30, 22, -16, -6],
 [-28, -30, -57, 15, 64],
 [28, 12, 19, -13, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -25, 5, 25, 20],
 [0, 40, 0, -50, -40],
 [24, 12, -12, 0, 0],
 [8, 4, -4, 0, 0],
 [-10, -17, 5, 15, 12]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[37, -17, 41, -24, -2],
 [27, -21, 11, -19, 13],
 [-12, -12, -24, 21, 51],
 [1, 10, 17, -3, -23],
 [-2, -5, -26, -6, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, 0, 8, 13, 15],
 [13, -32, -40, 23, 29],
 [-6, 17, 14, -24, -29],
 [-8, 19, 26, -10, -13],
 [-14, 32, 48, -10, -14]]

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


[User]
What is the rank of the matrix:
[[22, -28, 30, -36, 14],
 [-3, 18, -10, -1, -9],
 [8, -20, 15, -9, 10],
 [-7, 10, -10, 11, -5],
 [5, -2, 5, -10, 1]]?

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


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

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


[User]
Find the rank of the matrix:
[[45, -13, 36, -10, 30],
 [-31, 41, 0, 48, -56],
 [-50, -33, -10, -28, 8],
 [-3, -19, 51, 0, 16],
 [-7, -29, 62, -4, 28]]

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


[User]
Calculate the rank of matrix A where A =
[[34, 13, 22, -38, -9],
 [7, 2, 14, -20, -12],
 [-10, -5, 10, -10, -15],
 [13, 6, -6, 4, 12],
 [13, 4, 22, -32, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 16, -1, 19, -41],
 [36, 10, -12, 32, -44],
 [30, -9, -23, 31, -15],
 [30, -5, -20, 30, -20],
 [0, 16, 12, -4, -20]]

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


[User]
What is the rank of the matrix:
[[24, -46, 2, 42, -18],
 [-16, 14, -18, -18, 2],
 [12, -28, -4, 24, -12],
 [-20, 30, -10, -30, 10],
 [-16, 9, -23, -15, -1]]?

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


[User]
What is the rank of the matrix:
[[0, -24, -12, -27, -3],
 [6, 12, 2, 19, -1],
 [-12, 24, 20, 16, 8],
 [6, -12, -10, -8, -4],
 [-33, 26, 35, -1, 17]]?

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


[User]
Find the rank of the matrix:
[[45, 4, 27, 20, 26],
 [40, 5, 23, 21, 8],
 [-15, -16, 9, -8, -20],
 [-30, -11, -8, -15, -19],
 [30, -1, 24, 19, -17]]

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


[User]
Find the rank of the matrix:
[[1, -36, 20, -3, -13],
 [9, 1, -1, 20, -1],
 [-3, -31, 3, -38, 13],
 [27, -6, 54, -15, 33],
 [-25, 30, 14, -23, -14]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[38, 25, 4, -20, -26],
 [10, 28, -10, -7, -10],
 [6, 10, 8, -15, -32],
 [22, 12, -6, -1, 10],
 [-16, 27, -17, 1, -5]]

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


[User]
Find the rank of the matrix:
[[0, -8, -8, -8, -36],
 [0, -4, 10, -4, 24],
 [0, -8, 10, -8, 18],
 [0, 4, -2, 4, 0],
 [0, 10, -7, 10, -6]]

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


[User]
What is the rank of the matrix:
[[41, 22, 5, 15, 6],
 [-39, 4, 6, 4, -39],
 [-10, -6, 17, 13, 5],
 [-2, 8, 61, 59, 5],
 [25, 6, -2, 2, 13]]?

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


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

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


[User]
Find the rank of the matrix:
[[36, 9, 36, -15, -12],
 [-28, 12, -38, 28, 2],
 [32, 24, 24, -8, -12],
 [24, 3, 24, 19, -25],
 [6, -3, 7, 21, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -18, -5, -33, -22],
 [6, -26, -17, 25, -3],
 [-12, 12, -37, -26, -29],
 [29, 7, 16, 60, 39],
 [4, -20, -14, -32, -18]]

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


[User]
Find the rank of the matrix:
[[-82, -35, -24, 5, -4],
 [1, 10, 20, -15, -3],
 [-32, -26, -52, 15, 7],
 [25, -13, -18, 85, -17],
 [1, 20, 6, -83, 22]]

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


[User]
Determine the rank of the following matrix:
[[-18, -16, -8, -39, 18],
 [36, 34, -46, -6, 0],
 [26, 26, -29, 3, -4],
 [12, 8, -10, 2, 0],
 [-34, -19, 29, -1, -4]]

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


[User]
What is the rank of the matrix:
[[8, 16, 8, 20, 20],
 [-22, -14, -7, 2, 8],
 [8, -14, -7, -37, -43],
 [12, 24, 12, 30, 30],
 [38, 26, 13, 0, -10]]?

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


[User]
Calculate the rank of matrix A where A =
[[18, -28, 38, -26, 22],
 [1, -22, 11, -25, 3],
 [-10, 38, -40, 36, -13],
 [35, 6, 5, -1, 43],
 [-14, -28, -14, -40, -12]]

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


[User]
Determine the rank of the following matrix:
[[-8, 12, -19, 10, 17],
 [-4, 4, -7, 4, 6],
 [8, -16, 24, -12, -22],
 [12, 16, -14, 2, 17],
 [-24, 4, -17, 14, 11]]

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


[User]
Determine the rank of the following matrix:
[[24, -39, 15, 34, -33],
 [-3, -9, 30, -7, -15],
 [5, 1, -12, -13, 13],
 [-12, 30, -42, 24, 18],
 [15, -18, -7, 29, -14]]

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


[User]
What is the rank of the matrix:
[[6, 32, 29, 33, -23],
 [20, 0, 21, -33, -57],
 [-2, -5, 40, -18, -37],
 [-14, 0, -17, 31, 50],
 [49, 32, 5, 0, -62]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -24, -24, 16, 8],
 [-6, -12, -12, 8, 4],
 [9, 18, 18, -12, -6],
 [-9, -18, -18, 12, 6],
 [0, 0, 0, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -13, -10, 10, 8],
 [-34, -34, -22, 1, 23],
 [-18, -8, -8, 57, 11],
 [30, 30, 18, -15, -25],
 [30, 19, 16, -57, -17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 12, -11, 10, -2],
 [-5, -6, 16, 10, 10],
 [-35, -15, -5, 15, -19],
 [3, 36, -12, 20, 16],
 [-12, -9, 18, 15, 9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, 2, 26, 17, 3],
 [2, 1, -27, 21, 38],
 [38, 9, 18, -9, -17],
 [-17, 13, -27, -42, -33],
 [-34, -8, -9, -24, -19]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -21, -21, -10, -14],
 [15, -40, -10, 25, 0],
 [0, 12, 32, 10, 1],
 [-32, 4, 9, -20, -12],
 [45, -23, -28, 10, -19]]

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


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

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


[User]
What is the rank of the matrix:
[[12, -10, -7, 6, -23],
 [30, 2, -31, 24, 1],
 [-18, 12, 12, -10, 28],
 [0, 0, 0, 0, 0],
 [15, -14, -8, 7, -32]]?

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


[User]
What is the rank of the matrix:
[[-4, -3, -3, -6, -6],
 [-16, -12, -12, -24, -24],
 [-12, -9, -9, -18, -18],
 [16, 12, 12, 24, 24],
 [-12, -9, -9, -18, -18]]?

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


[User]
Determine the rank of the following matrix:
[[2, 40, -52, 31, 35],
 [-33, 0, -9, -8, 14],
 [-37, -2, -13, -13, 23],
 [27, 15, -30, 10, 31],
 [1, 2, 7, 6, -14]]

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


[User]
Determine the rank of the following matrix:
[[-3, -2, 28, -24, -9],
 [22, 38, 1, 80, 31],
 [2, 2, -12, 11, 7],
 [-6, 2, -27, 6, 5],
 [-13, 18, 14, -18, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-19, 19, -8, -17, 11],
 [-14, 14, -22, -22, -8],
 [-20, 20, 22, 0, 42],
 [-9, 9, 15, 3, 24],
 [-15, 15, 8, -5, 23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-35, 30, 0, 3, -30],
 [36, -24, 0, 0, 24],
 [-29, 26, 0, 3, -26],
 [36, -24, 0, 0, 24],
 [-20, 40, 0, 12, -40]]

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


[User]
Find the rank of the matrix:
[[20, -3, 30, -30, -22],
 [7, 26, -100, -24, 1],
 [0, 12, -82, -47, -23],
 [15, 4, -38, -30, -33],
 [22, 16, 34, -18, 28]]

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


[User]
Determine the rank of the following matrix:
[[-6, 16, -31, -28, 31],
 [-54, 2, -38, 2, -11],
 [-13, 31, -24, -37, 35],
 [46, -16, 4, 7, 9],
 [2, 26, -12, 2, 4]]

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


[User]
What is the rank of the matrix:
[[-3, -6, -6, 9, 10],
 [3, 14, 10, -29, -42],
 [-24, -28, -38, 22, 0],
 [-12, -18, -21, 21, 16],
 [-27, -30, -42, 21, -6]]?

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


[User]
Determine the rank of the following matrix:
[[0, -5, -1, 3, 5],
 [0, -30, -6, 18, 30],
 [0, -25, -5, 15, 25],
 [0, 5, 1, -3, -5],
 [0, 15, 3, -9, -15]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -12, -54, 42, -21],
 [38, -42, -32, -18, -30],
 [29, -39, -28, -13, -30],
 [-26, -32, -1, 36, -50],
 [14, -10, 20, -58, 11]]

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


[User]
What is the rank of the matrix:
[[-15, 60, 25, 0, 50],
 [18, -6, 25, 55, -16],
 [-6, 12, 0, -10, 12],
 [-18, 72, 30, 0, 60],
 [-3, 0, -5, -10, 2]]?

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


[User]
Determine the rank of the following matrix:
[[0, -15, 36, 56, 29],
 [-56, 41, -28, -44, -7],
 [-6, 30, -12, 42, 60],
 [-28, -31, 52, 14, -25],
 [2, -14, 28, 40, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[55, 2, 7, -27, 26],
 [36, -33, -30, -42, 32],
 [0, -39, -32, -12, 21],
 [-26, 10, 18, 30, -19],
 [7, -9, -29, -51, -2]]

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


[User]
What is the rank of the matrix:
[[18, 0, 0, -6, -9],
 [8, 0, -26, -4, 14],
 [-15, -14, 28, -2, -17],
 [17, -6, 25, -8, -28],
 [-30, -32, -14, -10, 13]]?

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


[User]
Determine the rank of the following matrix:
[[7, -11, -15, -3, -9],
 [35, -33, 55, -18, 51],
 [2, -22, 26, -12, 2],
 [-8, -12, 4, -6, -16],
 [-18, -16, 12, -9, -26]]

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


[User]
Determine the rank of the following matrix:
[[9, 57, 71, -34, -50],
 [7, 24, 21, -8, -24],
 [25, 52, 47, -8, -48],
 [-2, -35, -7, 4, 24],
 [19, 2, -14, 22, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -4, 16, 20, 12],
 [-6, 3, -12, -15, -9],
 [12, -6, 24, 30, 18],
 [4, -2, 8, 10, 6],
 [-2, 1, -4, -5, -3]]

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


[User]
Determine the rank of the following matrix:
[[26, -20, 65, -45, -9],
 [-13, 5, -34, 6, 31],
 [-3, -27, 26, -12, -45],
 [-8, -10, 2, -9, 26],
 [30, 1, 39, -33, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, 8, 31, 9, -2],
 [-10, -5, 20, 15, 5],
 [8, -12, -36, -8, 4],
 [-10, -9, 15, 16, 7],
 [-10, 15, 45, 10, -5]]

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


[User]
Determine the rank of the following matrix:
[[-3, 3, 11, 14, -2],
 [24, 12, 8, 2, 28],
 [-9, -3, 1, 4, -10],
 [-18, -12, -14, -11, -22],
 [16, 18, 32, 33, 22]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[18, 24, -33, -24, 15],
 [8, 27, -11, -24, 42],
 [17, -7, -20, 31, -3],
 [-23, 20, 8, 7, 12],
 [8, 21, -22, 15, 26]]

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


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

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


[User]
What is the rank of the matrix:
[[4, -24, 24, -32, -30],
 [0, -8, 16, -16, -36],
 [3, -3, -12, 6, 45],
 [0, 12, -24, 24, 54],
 [6, -22, 8, -20, 18]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 8, -8, -24, 6],
 [-15, 4, -2, -25, -3],
 [1, -1, 1, 3, 0],
 [30, 1, -21, 17, 25],
 [19, 42, 24, -5, 13]]

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


[User]
Determine the rank of the following matrix:
[[27, 30, 16, -2, -23],
 [-12, -25, -18, -3, 18],
 [12, 10, 4, -2, -8],
 [0, 30, 28, 10, -20],
 [48, 10, -12, -18, -12]]

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


[User]
Find the rank of the matrix:
[[15, 3, 0, 12, 6],
 [-25, -17, -9, -20, 2],
 [-25, 7, 9, -20, -22],
 [15, 27, 18, 12, -18],
 [-20, 20, 18, -16, -32]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 10, -43, -29, -18],
 [7, -14, 43, 10, -10],
 [31, -24, -2, -19, 36],
 [-51, 13, 6, 14, -19],
 [-54, 2, -44, -52, -38]]

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


[User]
Determine the rank of the following matrix:
[[50, -17, 28, 2, 26],
 [8, -7, 47, 47, 36],
 [-46, 1, 0, 35, 22],
 [38, -15, 32, 14, 30],
 [-26, 16, 7, 16, -18]]

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


[User]
Find the rank of the matrix:
[[9, -12, -15, 18, 9],
 [14, -4, -16, 22, 8],
 [15, -42, -36, 39, 24],
 [-8, -26, -5, -1, 7],
 [-4, 20, 14, -14, -10]]

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


[User]
What is the rank of the matrix:
[[36, 54, 15, 46, 3],
 [-30, 6, 3, -7, -49],
 [-3, -12, -16, -10, -9],
 [12, 30, 19, 24, 3],
 [-6, -6, 5, -5, 5]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-25, 43, -40, 0, 3],
 [6, 38, 6, -14, -40],
 [-19, -24, -1, 23, -24],
 [9, -44, 27, 11, -8],
 [-17, 46, -29, -5, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 15, 9, -14, 4],
 [-32, -19, 15, 0, 7],
 [10, -22, -1, 14, 24],
 [-8, 29, 25, -24, 5],
 [-18, -21, -18, -10, -53]]

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


[User]
Find the rank of the matrix:
[[16, -2, -14, -16, 28],
 [3, 6, 3, -5, 2],
 [-6, 30, -24, 18, 24],
 [3, 15, -12, 1, 18],
 [12, 12, -33, -3, 45]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, 23, -25, 4, 35],
 [8, -25, 17, 7, 5],
 [-5, 12, 2, 8, 5],
 [-9, 14, 32, 36, 13],
 [-3, 11, -17, 3, 28]]

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


[User]
Find the rank of the matrix:
[[36, -21, 12, -15, -9],
 [44, -35, -4, -2, 3],
 [-16, 8, -8, 9, 6],
 [20, -1, 28, -27, -21],
 [-28, 23, 4, 0, -3]]

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


[User]
What is the rank of the matrix:
[[-5, 15, -30, -15, -20],
 [4, -12, 24, 12, 16],
 [3, -9, 18, 9, 12],
 [-1, 3, -6, -3, -4],
 [-2, 6, -12, -6, -8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[44, -56, 0, -10, -43],
 [22, 12, -70, -22, 0],
 [-26, 30, -14, -35, -23],
 [24, -12, 28, -54, -71],
 [-8, -14, 36, -42, -68]]

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


[User]
Determine the rank of the following matrix:
[[36, 42, -11, 7, -30],
 [-11, -40, -6, 22, -22],
 [-7, 50, 2, 3, 2],
 [-28, -48, 7, -8, 0],
 [9, 18, 5, -28, -9]]

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


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

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


[User]
What is the rank of the matrix:
[[-30, 5, -5, -30, 10],
 [0, 0, 0, 0, 0],
 [-6, 1, -1, -6, 2],
 [0, 0, 0, 0, 0],
 [18, -3, 3, 18, -6]]?

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


[User]
What is the rank of the matrix:
[[-23, -4, 19, 41, -15],
 [-75, 26, 33, -17, 45],
 [33, 40, -14, 3, -9],
 [-21, -46, 9, 13, -9],
 [-41, 6, 18, 23, -3]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -26, -6, -21, 8],
 [-13, -8, 3, -8, 6],
 [46, -35, -27, -20, 13],
 [-12, 25, -21, -5, -1],
 [9, 18, -9, 18, 0]]

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


[User]
What is the rank of the matrix:
[[-3, 15, -13, -13, 5],
 [6, 24, 2, 2, 20],
 [21, 30, 31, 31, 40],
 [-9, -9, -15, -15, -15],
 [3, 12, 1, 1, 10]]?

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


[User]
Find the rank of the matrix:
[[-14, 15, 9, -10, -15],
 [0, -8, 12, 10, 8],
 [0, 20, -30, -25, -20],
 [-14, 27, -9, -25, -27],
 [6, -7, -3, 5, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -8, 3, -30, -15],
 [22, 36, 32, 62, 22],
 [-30, -16, 5, 12, 17],
 [-35, -54, -40, -58, 7],
 [17, 2, -3, -3, 12]]

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


[User]
Find the rank of the matrix:
[[-28, -8, -18, 12, -34],
 [-43, -24, -8, 22, -25],
 [48, 19, 14, -32, 31],
 [-32, -12, -13, 18, -27],
 [20, 27, -35, -30, -48]]

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


[User]
Determine the rank of the following matrix:
[[-8, 32, 20, -44, -4],
 [-12, 24, 6, -18, -22],
 [10, -16, -1, 7, 21],
 [10, -19, -4, 13, 19],
 [2, 10, 13, -25, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[19, 10, 6, -32, 5],
 [-5, -18, 0, 28, -21],
 [-20, -40, 18, -20, 32],
 [-9, 2, -9, 30, -13],
 [-14, -34, 15, -14, 21]]

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


[User]
Determine the rank of the following matrix:
[[0, -41, -3, 6, -19],
 [30, 9, 17, -54, 19],
 [-28, 10, -16, 42, -5],
 [-10, -33, -9, 18, -17],
 [31, -4, 15, -60, 18]]

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


[User]
Determine the rank of the following matrix:
[[22, 20, 9, -18, 27],
 [-33, -30, -27, 1, -12],
 [4, -4, -13, -24, 15],
 [-26, -27, -5, -28, 1],
 [11, 20, 29, -35, 43]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -20, -10, 30, 15],
 [24, 16, 8, -24, -12],
 [36, 24, 12, -36, -18],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[12, 12, 0, -30, -18],
 [-8, -16, 12, 25, 19],
 [-5, -33, 42, 30, 32],
 [7, 3, 6, -15, -7],
 [-10, -10, 0, 25, 15]]

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


[User]
Determine the rank of the following matrix:
[[23, 28, -5, -49, 23],
 [-24, 60, -30, -6, 50],
 [-40, 3, 40, 5, -33],
 [0, -32, 45, -9, -49],
 [-4, 40, -5, -31, 25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 18, -24, 21, 24],
 [-10, 8, -34, 16, -6],
 [8, 8, 8, 4, 24],
 [-5, -8, -1, -6, -19],
 [-4, -22, 20, -23, -36]]

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


[User]
What is the rank of the matrix:
[[29, 25, -40, 14, -5],
 [-23, -15, 30, -18, -5],
 [21, 21, -30, 6, -9],
 [-19, -27, 30, 6, 23],
 [22, 32, -35, -8, -28]]?

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


[User]
Determine the rank of the following matrix:
[[25, -9, 13, -21, -2],
 [40, 44, -8, -28, 32],
 [-11, -18, 3, 14, -16],
 [-27, -8, -5, 20, -8],
 [5, -22, -1, 38, -36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, -38, 11, -11, 27],
 [-38, 10, -22, 2, 2],
 [-41, 17, -39, 7, -17],
 [-10, -15, 20, -10, 40],
 [0, 19, 34, 0, 10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 20, -6, -14, -22],
 [3, 28, 18, -2, -33],
 [-12, 2, -15, -11, -1],
 [-9, 6, -9, -9, -6],
 [-6, -32, -24, 0, 38]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 18, -17, -10, -32],
 [-19, -2, -1, -16, 19],
 [-30, 14, 9, -28, 6],
 [43, 12, -12, 11, -11],
 [34, -16, 4, 40, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[17, 11, -5, -5, -24],
 [1, 13, -5, 5, -22],
 [26, 2, -2, -14, -12],
 [3, -24, 9, -12, 39],
 [-11, 4, -1, 8, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-15, 24, -3, 6, -30],
 [-7, 18, -5, 10, -18],
 [10, 35, -25, 50, -10],
 [12, 42, -30, 60, -12],
 [-20, -2, 14, -28, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 6, 75, -40, 48],
 [-17, 52, 34, -76, -23],
 [30, -30, -30, 15, -15],
 [-3, 9, 0, -42, -15],
 [18, 16, 46, -51, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 52, -6, -40, 0],
 [-18, 78, -18, -57, -9],
 [-9, 30, -27, -33, -9],
 [0, 28, 0, -26, 6],
 [10, 38, 42, -21, 27]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-1, -4, -23, 44, 1],
 [12, -10, 20, -7, -8],
 [2, 14, -2, -19, 10],
 [-13, -20, 45, -50, -23],
 [-8, 32, -36, -1, 26]]

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


[User]
What is the rank of the matrix:
[[-1, 5, 20, 17, -21],
 [-18, 21, -8, -16, -10],
 [1, -5, -20, -17, 21],
 [-29, 40, 20, 3, -49],
 [-19, 23, -4, -13, -15]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -12, -16, 4, 24],
 [-3, 9, 12, -3, -18],
 [-6, 18, 24, -6, -36],
 [-4, 12, 16, -4, -24],
 [0, 0, 0, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-43, 62, 19, -35, -59],
 [-16, 2, -30, -7, -7],
 [-50, 70, 23, -35, -61],
 [28, -38, -11, 19, 33],
 [10, -32, -40, 8, 20]]

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


[User]
Find the rank of the matrix:
[[33, -39, 7, 18, -38],
 [-22, 42, -16, -16, 24],
 [-21, 3, 11, -6, 26],
 [3, 3, -4, 0, -4],
 [8, -24, 12, 8, -8]]

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


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

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


[User]
What is the rank of the matrix:
[[25, 20, 10, 0, 25],
 [10, 8, 4, 0, 10],
 [0, 0, 0, 0, 0],
 [20, 16, 8, 0, 20],
 [20, 16, 8, 0, 20]]?

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


[User]
Determine the rank of the following matrix:
[[-15, 15, -30, -14, -3],
 [-8, -18, 0, -61, 11],
 [0, -22, 4, -17, -17],
 [-3, 33, -12, 22, 21],
 [-11, 7, -16, -29, 10]]

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


[User]
Determine the rank of the following matrix:
[[12, 1, -2, -17, 8],
 [8, -14, -22, 58, -18],
 [8, -14, -22, 58, -18],
 [-24, 14, 2, -34, -2],
 [35, -10, 45, -10, 35]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -19, -13, -15, -15],
 [12, -30, -18, -24, -24],
 [-30, 33, 15, 27, 27],
 [30, -19, -5, -16, -16],
 [-44, 26, 6, 22, 22]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -21, 10, -20, 20],
 [55, -49, 10, -55, 20],
 [-35, 33, -10, 35, -20],
 [5, -7, 6, -5, 12],
 [-5, 3, 2, 5, 4]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-40, 13, 7, -42, 4],
 [6, 27, 43, 22, 34],
 [-14, 17, 11, 0, 12],
 [-33, 18, -5, -14, 3],
 [61, -46, -35, 38, -31]]

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


[User]
Determine the rank of the following matrix:
[[32, 12, -54, 66, -30],
 [16, -8, -20, 12, -36],
 [16, 4, -26, 30, -18],
 [-18, 6, 24, -18, 36],
 [-16, 0, 24, -24, 24]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 4, 24, 20],
 [0, 0, 3, 18, 15],
 [0, 0, 6, 36, 30],
 [0, 0, -1, -6, -5],
 [0, 0, -2, -12, -10]]

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


[User]
What is the rank of the matrix:
[[-2, -21, 23, -1, 1],
 [-27, 27, -31, 16, 22],
 [6, 17, -49, 34, 16],
 [18, -14, 20, -8, -8],
 [-17, 9, -28, 19, 11]]?

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


[User]
Determine the rank of the following matrix:
[[-26, 3, -46, -32, -23],
 [-23, -7, -52, -18, -67],
 [-30, 12, -72, -30, -66],
 [7, -5, 0, 12, -7],
 [-7, -17, 6, -13, 26]]

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


[User]
Determine the rank of the following matrix:
[[-15, 15, -10, 30, 30],
 [-17, 1, 6, 14, -30],
 [35, -20, 24, -39, -10],
 [-17, 11, -29, 9, 10],
 [14, -4, -16, -26, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 60, 46, -38, -22],
 [10, 6, 3, -7, 9],
 [-15, 18, 18, -3, -36],
 [5, 12, 9, -8, -3],
 [15, -18, -18, 3, 36]]

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


[User]
What is the rank of the matrix:
[[19, 30, 25, -12, 26],
 [-2, -14, -24, -2, -26],
 [-6, -1, -21, -15, -8],
 [-31, -4, -20, -31, 58],
 [10, 19, 5, -13, 4]]?

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


[User]
Determine the rank of the following matrix:
[[22, -18, -17, 6, -8],
 [-3, 16, 35, -22, -34],
 [20, 14, 3, -20, -36],
 [13, 16, 11, -22, -34],
 [7, 34, 4, -28, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, 16, -32, 26, 28],
 [-21, 14, 8, -39, 21],
 [-24, -12, 22, -22, -16],
 [24, -38, 13, -34, -56],
 [50, 4, 38, -15, -2]]

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[User]
What is the rank of the matrix:
[[19, -16, -4, 12, -12],
 [19, 18, 14, 34, -15],
 [19, -16, -4, 12, -12],
 [-24, 22, 6, -14, 15],
 [54, -24, 0, 48, -36]]?

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


[User]
Determine the rank of the following matrix:
[[-30, 33, -12, 42, -15],
 [-25, 14, -21, 31, -10],
 [-9, 18, 3, 15, -6],
 [15, 24, 39, -9, 0],
 [-2, -41, -36, -10, 7]]

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


[User]
Determine the rank of the following matrix:
[[3, 0, -12, -18, -9],
 [4, 0, -16, -24, -12],
 [2, 0, -8, -12, -6],
 [-6, 0, 24, 36, 18],
 [6, 0, -24, -36, -18]]

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


[User]
What is the rank of the matrix:
[[-21, -12, 12, 27, -3],
 [-9, -8, 4, 16, -3],
 [25, -20, -28, 21, -17],
 [3, 16, 4, -26, 9],
 [32, -16, -32, 12, -16]]?

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[User]
Calculate the rank of matrix A where A =
[[-31, 39, -16, 48, -49],
 [12, -18, 9, -9, 12],
 [-5, -9, 9, -9, 13],
 [-26, 14, 0, 4, -2],
 [-6, 10, -4, 32, -30]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-28, 31, -8, 24, -21],
 [-7, 4, 6, 7, 41],
 [-2, 7, -4, 14, 20],
 [16, -9, -8, -4, -24],
 [-6, 14, -12, 14, -31]]

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


[User]
Determine the rank of the following matrix:
[[6, -18, 12, 15, 0],
 [12, -36, 24, 30, 0],
 [-4, 12, -8, -10, 0],
 [4, -12, 8, 10, 0],
 [8, -24, 16, 20, 0]]

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


[User]
Find the rank of the matrix:
[[-6, 13, -35, 45, -6],
 [2, 15, -58, 31, 19],
 [2, -32, -12, 19, -29],
 [12, 17, -70, 47, 12],
 [10, 29, -54, 17, 35]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -11, 12, 13, -8],
 [-30, 42, 0, -12, 60],
 [-35, 12, 20, 13, 30],
 [19, 3, -16, -14, -6],
 [-7, 32, -12, -19, 38]]

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


[User]
Determine the rank of the following matrix:
[[-25, -12, 52, 28, 2],
 [12, 0, -26, -28, -8],
 [8, -4, -4, -19, -20],
 [-26, 25, 40, 22, 44],
 [-31, -14, 44, 42, 22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 6, -16, 0, -8],
 [0, 42, -42, -45, -6],
 [-4, 36, -40, -36, -8],
 [10, -6, 16, 0, 8],
 [-10, -8, -2, 15, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 17, -23, 1, 26],
 [12, 29, -27, 5, -2],
 [2, 17, 16, 34, -24],
 [8, -4, -41, -27, 8],
 [-17, -63, -45, -94, 34]]

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[User]
Calculate the rank of matrix A where A =
[[0, 6, -2, -4, 6],
 [15, -33, -12, 24, -24],
 [-15, 30, 13, -22, 21],
 [30, -48, -30, 36, -30],
 [10, -22, -8, 16, -16]]

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[User]
Calculate the rank of matrix A where A =
[[24, 12, 16, -8, -24],
 [-39, -12, -37, -34, 42],
 [-26, -10, -26, 8, 48],
 [-1, -4, 5, 20, -3],
 [15, 7, 15, -20, -36]]

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


[User]
Determine the rank of the following matrix:
[[-34, -2, 23, 28, 7],
 [-2, -32, 22, -29, 18],
 [31, -14, -47, -38, -12],
 [36, 40, 0, -24, 2],
 [1, 16, 34, -19, 21]]

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


[User]
What is the rank of the matrix:
[[-22, 21, 26, -54, -15],
 [-8, -47, -43, -12, -20],
 [12, -4, 34, -12, -18],
 [-14, -11, -20, -18, -7],
 [10, -56, -31, 6, -23]]?

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


[User]
Calculate the rank of matrix A where A =
[[-31, 13, 13, -13, 8],
 [11, -9, -9, 1, 8],
 [-16, -7, -7, -18, 38],
 [6, -8, -8, -2, 12],
 [16, -10, -10, 4, 4]]

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


[User]
Find the rank of the matrix:
[[16, -12, 12, 16, -24],
 [-12, 9, -9, -12, 18],
 [0, 0, 0, 0, 0],
 [-12, 9, -9, -12, 18],
 [4, -3, 3, 4, -6]]

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


[User]
Determine the rank of the following matrix:
[[-24, -12, 40, -6, -28],
 [6, 38, -38, 39, 34],
 [26, -22, 8, -21, -10],
 [33, -6, -28, -12, 16],
 [30, 10, -30, 9, 22]]

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


[User]
What is the rank of the matrix:
[[1, -2, 11, 27, 23],
 [5, -1, 7, -1, 3],
 [-27, 6, -39, -1, -13],
 [-25, 6, -32, 1, 17],
 [-15, 3, -15, 11, 23]]?

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


[User]
Determine the rank of the following matrix:
[[9, -18, 11, -11, -8],
 [2, -4, -30, -13, -19],
 [-38, 28, -11, 30, 15],
 [27, -14, 9, -13, -4],
 [-5, -16, 25, -4, -1]]

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


[User]
What is the rank of the matrix:
[[-17, -32, -47, -17, -16],
 [-15, 20, -9, 27, -25],
 [31, -40, -15, -49, 24],
 [8, -29, -22, -28, 6],
 [6, -38, -10, -38, 22]]?

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


[User]
Determine the rank of the following matrix:
[[-22, -9, 44, -16, 47],
 [15, -43, 33, -29, 50],
 [-12, 12, 16, 15, 4],
 [-37, 17, 61, -16, 22],
 [-41, 40, 51, 9, -5]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-15, 7, -28, -32, -15],
 [9, 18, 36, 54, 6],
 [-27, 28, 14, 4, 22],
 [-9, -4, -32, -38, -16],
 [-18, 16, -10, -14, -2]]

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


[User]
Find the rank of the matrix:
[[-44, -34, 8, -44, -12],
 [6, 18, 4, 20, -20],
 [-1, 4, 2, 4, -8],
 [-17, -16, 2, -20, 0],
 [16, -1, -8, 2, 26]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[29, -33, -9, 4, 1],
 [-7, -19, -22, -66, -11],
 [4, -10, -33, -46, -30],
 [-17, 59, 6, 50, -21],
 [8, 0, 0, 16, -2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -25, -34, 51, 22],
 [28, 11, 6, -17, -14],
 [-33, 0, 16, -10, -1],
 [-7, -16, -39, 44, 33],
 [-4, 31, 14, -45, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -15, 32, 24, -18],
 [-18, 21, 15, 21, -45],
 [-2, -27, 7, -3, 27],
 [-20, 5, 20, 20, -30],
 [4, -23, 0, -8, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 32, -14, 24, -37],
 [-19, 22, 16, -4, -28],
 [-12, 16, 8, 0, -20],
 [6, 2, -14, 12, -1],
 [-18, 4, 32, -24, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-26, -59, -26, -46, -6],
 [18, 41, 19, 31, 2],
 [-3, -7, -4, -9, -7],
 [3, 15, 54, 3, -33],
 [12, 26, 4, 28, 20]]

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


[User]
What is the rank of the matrix:
[[-42, 12, -27, -16, -19],
 [52, -16, 34, 18, 24],
 [-26, 8, -17, -9, -12],
 [6, 24, -9, 43, -8],
 [-34, 4, -19, -22, -13]]?

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


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

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


[User]
What is the rank of the matrix:
[[47, -19, -7, 53, -51],
 [-10, 3, -14, 16, 0],
 [-3, -16, -8, 34, -18],
 [8, -10, 2, -16, 6],
 [24, -16, 13, -20, -3]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -20, 22, 9, -11],
 [-4, 2, 0, -4, 3],
 [-37, 11, -51, -46, 45],
 [3, 17, -11, 0, 2],
 [-28, -16, -14, -29, 25]]

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


[User]
What is the rank of the matrix:
[[-9, -6, -12, -15, 0],
 [9, 6, 12, 15, 0],
 [15, 10, 20, 25, 0],
 [-12, -8, -16, -20, 0],
 [6, 4, 8, 10, 0]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-44, 42, 7, -27, 3],
 [-14, -18, -26, -11, 4],
 [27, -56, -40, 21, -4],
 [24, -46, -32, 19, -4],
 [-14, 34, 11, -5, -1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[20, -14, 7, 41, -25],
 [-44, 7, -8, -24, 8],
 [-52, -16, -16, -30, -8],
 [10, 18, 10, 21, 6],
 [22, -8, 11, 52, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, -6, -24, 15, -15],
 [-14, 8, 18, -6, -8],
 [-30, 10, 15, 0, -25],
 [20, 0, 12, -12, 24],
 [11, -12, -33, 15, 0]]

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


[User]
Find the rank of the matrix:
[[-12, -36, 24, 6, 36],
 [-12, -36, 24, 6, 36],
 [-6, -18, 12, 3, 18],
 [12, 36, -24, -6, -36],
 [12, 36, -24, -6, -36]]

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


[User]
Find the rank of the matrix:
[[-2, -14, -12, -1, 2],
 [21, 43, 32, 7, -20],
 [9, 2, -6, 3, -2],
 [-16, -20, -12, -5, 14],
 [-16, 3, -2, -3, 28]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-24, -22, 33, 4, -7],
 [34, 27, -3, 11, -13],
 [26, 21, -6, 7, -8],
 [-28, -22, 0, -10, 12],
 [14, 13, -21, -3, 5]]

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


[User]
Determine the rank of the following matrix:
[[-28, 4, -22, 37, 15],
 [4, -4, -2, -1, 3],
 [8, -4, 2, -7, 0],
 [-12, -12, -30, 33, 27],
 [28, -24, -8, -12, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -9, -8, -9, -17],
 [13, -18, -11, 24, 22],
 [23, -27, -19, 33, 23],
 [42, -32, -34, 24, -20],
 [26, 3, -4, 9, -7]]

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


[User]
Determine the rank of the following matrix:
[[1, -1, 66, 14, -40],
 [33, -69, 8, -14, -18],
 [0, -14, -36, 10, 48],
 [-15, 39, -1, -2, 7],
 [-30, 51, -19, 25, 39]]

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


[User]
What is the rank of the matrix:
[[44, 32, -18, -28, 38],
 [-34, -46, -5, 0, 23],
 [-36, -35, 24, 20, -24],
 [12, 4, -6, 6, 2],
 [6, 15, 21, -6, -15]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 10, -8, 5, 24],
 [44, 0, -20, -32, -22],
 [-28, -14, 20, 29, 8],
 [-46, -34, 50, 46, -12],
 [-23, 37, 7, 5, 48]]

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


[User]
Find the rank of the matrix:
[[28, 39, -21, 8, 13],
 [-4, -6, -2, 14, 22],
 [20, 30, -30, -10, 34],
 [6, -73, -1, -43, 15],
 [4, -26, 16, 71, 26]]

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


[User]
Find the rank of the matrix:
[[12, 4, -12, -24, 12],
 [-5, -11, 13, -6, -21],
 [1, 5, -5, 6, 9],
 [-11, -13, 19, 6, -27],
 [5, 11, -13, 6, 21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -8, -23, 4, -13],
 [-35, -9, -39, 26, -25],
 [-30, -15, -44, 42, -23],
 [-23, 3, -29, 26, -27],
 [-4, 18, 15, -32, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -20, -19, 27, 4],
 [4, -8, -9, 13, 0],
 [4, -32, -29, 41, 8],
 [4, -8, -9, 13, 0],
 [0, -36, -30, 42, 12]]

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


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

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


[User]
Find the rank of the matrix:
[[16, 38, -14, 33, 36],
 [29, 14, -60, -7, -22],
 [68, -20, -56, 39, -36],
 [-37, -17, 81, 9, 51],
 [-50, 4, 32, -40, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 23, -41, 9, -12],
 [5, 36, -25, 2, -14],
 [1, 31, -20, 15, -22],
 [-5, -8, 37, 2, -2],
 [3, -7, -18, -7, 10]]

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


[User]
Determine the rank of the following matrix:
[[-13, 3, 9, 11, 11],
 [-24, -29, 0, -36, 21],
 [23, -14, 9, 8, -10],
 [16, 27, -6, 22, -14],
 [36, -51, 14, -10, -36]]

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


[User]
What is the rank of the matrix:
[[9, -6, 23, 7, -26],
 [3, -14, -6, 6, 4],
 [15, -12, -1, 1, -38],
 [9, -12, -3, 3, -18],
 [13, -7, -3, -2, -36]]?

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


[User]
What is the rank of the matrix:
[[24, 12, 0, 16, 4],
 [42, 24, 8, 18, 12],
 [30, 21, 16, 0, 15],
 [21, 6, -12, 29, -4],
 [21, 9, -4, 19, 1]]?

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


[User]
Determine the rank of the following matrix:
[[-10, 24, 17, -17, 13],
 [-23, -26, -16, -13, -31],
 [-22, 8, 7, -23, -5],
 [27, -6, -6, 27, 9],
 [-5, -2, -1, -4, -4]]

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


[User]
Find the rank of the matrix:
[[10, -10, -16, 22, 26],
 [4, 0, -5, -18, -61],
 [-30, -33, -28, 18, -16],
 [54, 42, 37, -26, -32],
 [-42, -38, 19, 62, 20]]

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


[User]
Find the rank of the matrix:
[[18, 36, 6, 0, 18],
 [-6, -12, -2, 0, -6],
 [-3, -6, -1, 0, -3],
 [0, 0, 0, 0, 0],
 [-15, -30, -5, 0, -15]]

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


[User]
Determine the rank of the following matrix:
[[-11, 14, 4, -20, 9],
 [6, -15, -3, 33, -18],
 [-23, 8, 6, 22, -19],
 [-17, 2, 4, 28, -21],
 [-12, 3, 3, 15, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, 4, -4, 24, 16],
 [8, -4, 4, -24, -16],
 [-10, 5, -5, 30, 20],
 [10, -5, 5, -30, -20],
 [-12, 6, -6, 36, 24]]

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


[User]
Determine the rank of the following matrix:
[[-13, -3, -16, 31, 10],
 [-10, 18, 34, -18, -44],
 [16, -51, -47, -7, 14],
 [-25, 6, 7, 20, -32],
 [12, 51, 60, -37, -6]]

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


[User]
Find the rank of the matrix:
[[34, -3, -86, -63, -48],
 [37, 23, 12, 66, 16],
 [23, -8, -4, 15, 6],
 [-16, -1, -9, 54, -38],
 [44, 0, -22, 18, 0]]

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


[User]
Find the rank of the matrix:
[[8, 12, -16, 16, 4],
 [12, 18, -24, 24, 6],
 [-2, -3, 4, -4, -1],
 [6, 9, -12, 12, 3],
 [0, 0, 0, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, 16, 30, -16, 36],
 [-7, 13, 12, -7, 21],
 [25, -5, -30, 15, -25],
 [-1, 6, 3, -2, 8],
 [4, 34, 6, -6, 38]]

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


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

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


[User]
What is the rank of the matrix:
[[25, -3, 51, 14, 42],
 [26, 66, -30, 22, -42],
 [-38, -4, -90, -2, -68],
 [8, 20, 18, -1, 3],
 [35, 57, -3, -4, -14]]?

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


[User]
Calculate the rank of matrix A where A =
[[16, -24, 24, 8, 12],
 [16, -24, 24, 8, 12],
 [16, -24, 24, 8, 12],
 [20, -30, 30, 10, 15],
 [16, -24, 24, 8, 12]]

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


[User]
Find the rank of the matrix:
[[12, 28, 0, -5, -58],
 [-4, -30, -22, -49, -15],
 [4, -12, -18, 8, -49],
 [46, 12, -16, -31, -42],
 [-16, -24, -2, 14, 31]]

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


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

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


[User]
Determine the rank of the following matrix:
[[22, -17, 9, -5, 4],
 [20, -20, 15, 0, 5],
 [2, -17, 24, 15, 5],
 [-20, 30, -30, -10, -8],
 [-10, 15, -15, -5, -4]]

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


[User]
Find the rank of the matrix:
[[38, -46, -14, -14, 40],
 [25, -28, -4, 45, -15],
 [11, 17, 10, 28, -22],
 [57, -99, -12, 48, 36],
 [10, -44, -40, 2, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[-42, -16, 24, 18, 2],
 [24, 22, 2, -16, 16],
 [-12, -2, 10, 4, 4],
 [18, 30, 18, -18, 30],
 [3, -13, -19, 5, -19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, 8, 33, 9, 34],
 [19, 43, 7, -32, 9],
 [-29, -16, 21, 46, 34],
 [-15, 13, 20, -15, 13],
 [15, 13, -5, 0, 3]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-12, 0, 16, -20, -8],
 [15, 0, -20, 25, 10],
 [-15, 0, 20, -25, -10],
 [6, 0, -8, 10, 4],
 [9, 0, -12, 15, 6]]

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


[User]
What is the rank of the matrix:
[[-12, 0, 42, 0, 36],
 [4, -20, -18, -64, -30],
 [-15, 39, 25, 22, 0],
 [23, -34, 8, -1, 8],
 [2, -34, -6, -30, 17]]?

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


[User]
What is the rank of the matrix:
[[23, 9, 50, 27, -19],
 [30, 30, 18, 22, -31],
 [-2, -36, -42, -6, 10],
 [36, -18, -22, 24, -24],
 [35, 30, 15, 25, -35]]?

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


[User]
What is the rank of the matrix:
[[-27, -9, 0, 9, 0],
 [22, 3, -3, -8, 3],
 [-15, -18, -9, 3, 9],
 [8, -6, -6, -4, 6],
 [-9, -3, 0, 3, 0]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 30, -16, 27, -36],
 [24, -6, 2, 16, -37],
 [2, 0, 6, -2, -10],
 [-42, 72, -42, 24, 12],
 [-22, 36, -24, 13, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [18, 15, -3, 0, 3],
 [6, 5, -1, 0, 1],
 [-6, -5, 1, 0, -1],
 [-18, -15, 3, 0, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -9, -12, 22, -48],
 [-27, 1, -3, 10, -18],
 [-24, 14, 14, 2, -60],
 [39, -27, -31, 36, -42],
 [15, -4, -3, 0, 6]]

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


[User]
Determine the rank of the following matrix:
[[-42, -27, -30, 21, -18],
 [8, 19, 10, 1, -10],
 [24, 33, -6, 26, 13],
 [28, 17, 19, -19, 12],
 [17, 25, -44, 47, 31]]

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


[User]
Determine the rank of the following matrix:
[[-38, -26, -36, -14, -26],
 [-26, -26, -12, 19, -20],
 [-27, -20, -24, 2, -21],
 [22, 8, 32, 30, 14],
 [-22, -20, -8, -36, -2]]

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


[User]
What is the rank of the matrix:
[[-32, 60, 32, 28, 18],
 [-14, 0, 14, 16, -14],
 [-6, 48, 6, 0, 34],
 [31, -24, -31, -32, 11],
 [25, -60, -25, -20, -25]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, -14, -12, 6, -12],
 [-12, -18, 16, -18, 26],
 [12, 18, -16, 18, -26],
 [12, -17, -2, -3, 2],
 [-36, 31, 14, -3, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, -1, 0, 3, 6],
 [5, -1, 0, 3, 6],
 [20, -4, 0, 12, 24],
 [25, -5, 0, 15, 30],
 [25, -5, 0, 15, 30]]

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


[User]
Determine the rank of the following matrix:
[[20, 16, 20, -28, -14],
 [-28, -4, 22, 2, 24],
 [36, -7, -9, -19, 27],
 [2, -7, 10, -10, 33],
 [-16, -20, -5, 13, 45]]

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


[User]
Find the rank of the matrix:
[[19, -8, 1, 22, 14],
 [20, 4, -20, 30, -5],
 [-21, -4, 23, -31, 10],
 [-19, 12, 3, -18, 3],
 [1, 0, 9, 3, 21]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, 0, -9, 6, -18],
 [9, -4, 5, -10, 14],
 [26, -10, 23, -32, 56],
 [-23, 10, -14, 26, -38],
 [13, -8, -5, -10, -2]]

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


[User]
Find the rank of the matrix:
[[24, 4, -4, 0, 8],
 [-36, -6, 6, 0, -12],
 [-24, -4, 4, 0, -8],
 [36, 6, -6, 0, 12],
 [18, 3, -3, 0, 6]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[33, 31, -18, 18, 22],
 [-18, 20, 6, 38, 34],
 [-43, -31, 42, -22, 6],
 [14, -14, -54, 6, -54],
 [-4, 13, 33, -4, 32]]

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


[User]
Find the rank of the matrix:
[[37, 8, -13, -26, 23],
 [-19, -11, 31, 17, -11],
 [9, 7, -21, -9, 5],
 [8, -7, 28, -1, 6],
 [7, -4, 17, -2, 5]]

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


[User]
Find the rank of the matrix:
[[7, -6, -4, -5, -11],
 [-64, -6, 4, 30, 32],
 [20, -15, -14, -15, -25],
 [5, -24, -32, -15, -10],
 [-8, 18, 44, 20, -11]]

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


[User]
Determine the rank of the following matrix:
[[-6, 12, 9, -3, -15],
 [-10, 20, 15, -5, -25],
 [0, 0, 0, 0, 0],
 [8, -16, -12, 4, 20],
 [2, -4, -3, 1, 5]]

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


[User]
Find the rank of the matrix:
[[34, 12, 12, 38, -15],
 [-28, -24, 6, -26, 0],
 [-20, -24, 12, -16, -6],
 [-14, -4, -6, -16, 7],
 [20, 24, -12, 16, 6]]

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


[User]
Determine the rank of the following matrix:
[[14, -39, -26, 15, 16],
 [8, -7, -11, 2, 7],
 [-10, -4, 12, 2, -8],
 [6, -2, -26, -18, -10],
 [56, -53, -1, 10, 37]]

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


[User]
Find the rank of the matrix:
[[20, 21, -2, -4, -19],
 [14, -9, 16, 3, 0],
 [36, -51, -6, -8, 10],
 [-58, -24, 22, 17, 38],
 [-34, -21, 4, 7, 25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 12, -42, -54, 42],
 [-6, 9, -16, -23, 16],
 [-9, 1, -19, -22, 19],
 [-9, 21, -27, -42, 27],
 [-6, -11, -8, -3, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 3, 1, 9, -7],
 [20, -1, 9, -10, -7],
 [-16, -4, -12, -4, 20],
 [-20, -3, -13, 0, 19],
 [16, -6, 2, -21, 10]]

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


[User]
Find the rank of the matrix:
[[4, -37, -20, 42, -15],
 [11, 9, 12, 10, -10],
 [21, -2, -15, 13, 11],
 [11, -33, -23, 45, -17],
 [3, 28, -4, -22, -8]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-48, -8, 1, -8, -28],
 [-26, 11, 56, 20, -54],
 [-17, -25, -22, 16, 8],
 [-14, -18, 67, 16, -60],
 [-24, 10, -8, 38, 0]]?

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


[User]
Find the rank of the matrix:
[[-6, 12, 2, 4, 4],
 [-18, 36, 6, 12, 12],
 [15, -30, -5, -10, -10],
 [9, -18, -3, -6, -6],
 [-18, 36, 6, 12, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -12, -6, 11, 44],
 [-9, -2, 20, 27, 63],
 [5, -40, -17, 30, 14],
 [0, 24, -4, -34, -46],
 [4, 18, 1, -21, -87]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, 29, 26, 29, 28],
 [18, 5, 18, 5, -28],
 [24, -8, 2, -8, -30],
 [6, -29, -40, -29, 6],
 [36, -26, -18, -26, -38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -4, 2, -15, 12],
 [12, 13, 3, -3, -17],
 [1, 8, 6, 1, -2],
 [-3, -29, -23, -33, 6],
 [11, 35, 23, 38, -17]]

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


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

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


[User]
What is the rank of the matrix:
[[-18, 2, -31, 23, 11],
 [14, -19, 44, -7, -25],
 [-7, 7, -56, 5, 43],
 [26, -35, -12, -3, 17],
 [-4, 6, 39, -9, -18]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, -2, 6, -2, 0],
 [13, -20, 13, -26, 44],
 [-13, -4, -11, 2, 16],
 [0, 1, -11, 7, 1],
 [15, 29, 46, -43, -37]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -4, 10, -4, 6],
 [0, 6, -15, 6, -9],
 [0, 4, -10, 4, -6],
 [0, -10, 25, -10, 15],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-31, -25, 20, -11, 18],
 [-9, -45, 0, 65, -26],
 [-12, -15, 5, -7, -2],
 [-36, -20, 17, -2, 22],
 [-24, -25, 7, 23, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -12, -12, -16, -14],
 [21, 24, -51, 9, 24],
 [-10, -4, 22, 2, -6],
 [25, 0, 1, 5, 20],
 [-9, 4, -9, -1, -6]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 40, 27, -26, -13],
 [30, 42, 16, -22, -15],
 [36, 10, -44, 0, -48],
 [-30, 50, 15, -61, -38],
 [-48, -12, -13, 13, 27]]

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


[User]
Find the rank of the matrix:
[[-2, -8, 12, -4, 6],
 [-9, 12, 54, 18, 9],
 [6, -16, -36, -18, -3],
 [2, 32, -12, 22, -15],
 [5, 4, -30, -2, -9]]

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


[User]
Determine the rank of the following matrix:
[[26, 24, 18, 19, 15],
 [24, 27, 27, 30, 18],
 [20, 26, 30, 34, 18],
 [36, 30, 18, 18, 18],
 [24, 20, 12, 12, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 2, -12, -4, 23],
 [22, 5, 30, 5, -43],
 [-34, -22, -8, 0, -21],
 [70, 54, 41, 35, 24],
 [-10, -9, 4, 1, -21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 43, 10, -3, -49],
 [1, -13, 9, -12, -12],
 [-3, -13, 0, -19, -3],
 [19, 2, -13, 44, 9],
 [39, -45, -20, 43, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 36, 18, -5, -4],
 [0, 0, 0, -20, -16],
 [0, -36, -18, 10, 8],
 [0, 36, 18, 15, 12],
 [0, -12, -6, 30, 24]]

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


[User]
What is the rank of the matrix:
[[58, 30, 4, -7, -6],
 [-16, -6, -6, 9, -10],
 [-14, 18, 6, -26, -46],
 [-48, -11, 12, -25, -6],
 [-3, -19, -29, 9, 5]]?

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


[User]
Determine the rank of the following matrix:
[[0, -2, 12, 12, 3],
 [3, -7, 17, 10, -7],
 [-2, -9, 4, -8, -4],
 [-5, 7, -11, -2, 14],
 [8, -2, -12, -20, -25]]

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


[User]
Determine the rank of the following matrix:
[[12, 30, -24, -36, 0],
 [-12, -30, 24, 36, 0],
 [-2, -5, 4, 6, 0],
 [-12, -30, 24, 36, 0],
 [8, 20, -16, -24, 0]]

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


[User]
Find the rank of the matrix:
[[-5, 16, 29, 26, 2],
 [9, -20, -28, -16, -8],
 [2, 4, 17, 26, -6],
 [2, 0, 6, 12, -4],
 [6, -20, -37, -34, -2]]

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


[User]
What is the rank of the matrix:
[[-30, 0, -5, -20, 10],
 [-22, 12, -15, 0, -6],
 [-4, 12, -12, 12, -12],
 [-16, 12, -14, 4, -8],
 [19, 15, -11, 31, -23]]?

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


[User]
Find the rank of the matrix:
[[36, -6, -20, 26, -22],
 [-18, -42, -24, 6, 12],
 [-2, -16, -16, -24, 30],
 [-20, 14, 19, -20, 13],
 [23, 38, 19, 0, -16]]

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


[User]
Find the rank of the matrix:
[[-12, -26, 4, -22, -40],
 [-12, -30, 24, -26, -40],
 [-31, -23, 15, 1, -35],
 [6, 3, -18, -3, 0],
 [8, 18, -28, 14, 20]]

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


[User]
Find the rank of the matrix:
[[-26, 1, 10, 5, -7],
 [-91, 5, 27, -1, -1],
 [96, 0, -30, 0, 6],
 [-33, 4, 7, -6, 8],
 [5, -3, -18, -41, 48]]

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


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

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


[User]
What is the rank of the matrix:
[[8, -26, -3, 6, 26],
 [-8, 27, 3, -8, -25],
 [24, -18, 27, -62, 26],
 [6, 14, 18, -40, -10],
 [16, -32, 3, -18, 44]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, 6, -5, 5, 3],
 [1, 6, -5, 5, 3],
 [-1, -6, 5, -5, -3],
 [-1, -6, 5, -5, -3],
 [3, 18, -15, 15, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[31, 3, 4, 39, -47],
 [-20, -27, 16, -60, 31],
 [-15, 53, -54, 61, 17],
 [-13, 31, -33, 16, -7],
 [19, -50, 61, -54, -18]]

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


[User]
What is the rank of the matrix:
[[-20, 24, 16, -24, -20],
 [-5, 6, 4, -6, -5],
 [-25, 30, 20, -30, -25],
 [-25, 30, 20, -30, -25],
 [30, -36, -24, 36, 30]]?

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


[User]
Find the rank of the matrix:
[[-18, 33, 12, -18, -21],
 [-34, -52, 14, 23, -7],
 [24, -28, 16, 28, 8],
 [-23, 29, -54, -42, 2],
 [-22, 31, -6, -33, 58]]

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


[User]
What is the rank of the matrix:
[[4, 12, 20, 0, 12],
 [-4, -12, -20, 0, -12],
 [2, 6, 10, 0, 6],
 [-1, -3, -5, 0, -3],
 [-1, -3, -5, 0, -3]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, -4, 6, 0, 6],
 [0, 0, 0, 0, 0],
 [-5, 20, -30, 0, -30],
 [-6, 24, -36, 0, -36],
 [-3, 12, -18, 0, -18]]

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


[User]
Determine the rank of the following matrix:
[[-28, 30, -2, -15, 10],
 [2, 50, 24, -34, 24],
 [48, -16, 15, 16, -14],
 [7, -17, -22, 11, -52],
 [2, -12, -29, 6, -66]]

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


[User]
What is the rank of the matrix:
[[-1, 5, -25, 24, -21],
 [-19, -15, -31, -6, -41],
 [0, -8, 8, -17, 4],
 [33, 7, -9, 27, 9],
 [29, -16, -21, -4, -24]]?

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


[User]
Determine the rank of the following matrix:
[[27, -18, 33, 9, -27],
 [44, -16, 46, 20, -24],
 [29, -32, 23, 59, 3],
 [-31, -2, -27, -13, 3],
 [-8, -8, -2, -8, -12]]

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


[User]
Find the rank of the matrix:
[[17, 50, -17, 10, 11],
 [4, 27, -4, 4, 3],
 [22, 19, -22, 8, 13],
 [-18, -66, 18, -12, -12],
 [7, 1, -7, 2, 4]]

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[User]
Calculate the rank of matrix A where A =
[[-1, 1, 2, -4, -1],
 [-11, -1, -10, 2, -9],
 [-6, 16, -4, -21, 7],
 [-26, -11, 12, -19, -40],
 [-7, -4, -10, 9, -7]]

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


[User]
Determine the rank of the following matrix:
[[-12, -22, 35, 14, 7],
 [32, -14, -5, 18, 15],
 [34, 10, 15, -4, -5],
 [-26, -10, 50, 0, -6],
 [-18, 5, -5, -7, -5]]

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


[User]
Determine the rank of the following matrix:
[[-4, 26, -21, 4, -35],
 [24, -6, 36, -24, 30],
 [0, -25, 15, 0, 30],
 [24, 9, 27, -24, 12],
 [-8, 2, -12, 8, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -38, -53, 25, 27],
 [-16, -27, 20, 16, -24],
 [14, -12, -34, -18, 42],
 [20, -9, -17, 29, -25],
 [-15, -48, 13, -45, 28]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -8, -8, 2, -4],
 [0, 0, 0, 0, 0],
 [-15, 12, 12, -3, 6],
 [-30, 24, 24, -6, 12],
 [10, -8, -8, 2, -4]]

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


[User]
What is the rank of the matrix:
[[-21, -3, -18, -42, -10],
 [-17, 8, -9, 35, 18],
 [23, -53, 0, 15, -34],
 [62, -37, -12, 64, -16],
 [-1, 60, 30, 12, 42]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-29, -7, -33, 36, 6],
 [22, 11, 39, -10, -6],
 [-4, -22, -43, 28, -31],
 [22, -31, -5, -42, 12],
 [-34, 26, -12, 86, -28]]

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


[User]
What is the rank of the matrix:
[[-10, 5, -25, 10, 0],
 [4, -2, 10, -4, 0],
 [-2, 1, -5, 2, 0],
 [2, -1, 5, -2, 0],
 [-4, 2, -10, 4, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-38, 36, 54, -30, 26],
 [21, -22, -28, 10, -17],
 [5, -6, -6, 0, -5],
 [36, -40, -46, 10, -32],
 [20, -24, -24, 0, -20]]

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


[User]
What is the rank of the matrix:
[[3, -1, 3, -4, 10],
 [-10, 6, -10, 32, -12],
 [7, -1, 7, 0, 34],
 [9, -3, 9, -12, 30],
 [1, -3, 1, -20, -18]]?

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


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

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


[User]
Find the rank of the matrix:
[[3, -7, 2, 4, -7],
 [-27, -23, 4, -10, -27],
 [-48, -12, 24, 30, -34],
 [-43, -40, 20, -2, -44],
 [14, -36, 12, -42, 6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[30, -6, -6, -30, -36],
 [10, -2, -2, -10, -12],
 [10, -2, -2, -10, -12],
 [15, -3, -3, -15, -18],
 [-30, 6, 6, 30, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[22, -28, -40, -29, -10],
 [16, 1, -23, 14, -1],
 [-24, 8, 36, -6, 20],
 [-33, 47, 28, 14, 19],
 [-10, 29, 18, 34, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -6, -4, -10, 10],
 [-16, 16, 0, 20, 0],
 [-20, 26, -4, 30, 10],
 [32, -50, 12, -55, -30],
 [-2, -1, 2, 0, -5]]

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


[User]
What is the rank of the matrix:
[[19, 23, 2, -24, 23],
 [23, 29, 36, -36, 7],
 [-14, -16, 26, 12, -34],
 [-9, -12, -33, 18, 9],
 [-3, -3, 18, 0, -15]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [-12, -8, 10, 0, 10],
 [-6, -4, 5, 0, 5],
 [36, 24, -30, 0, -30],
 [-24, -16, 20, 0, 20]]

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


[User]
Find the rank of the matrix:
[[12, 6, 0, 15, -12],
 [-4, -2, 0, -5, 4],
 [0, 0, 0, 0, 0],
 [-24, -12, 0, -30, 24],
 [-24, -12, 0, -30, 24]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, -4, -16, 36, 16],
 [-28, -2, -2, 33, 17],
 [-20, 0, 10, 25, 15],
 [-44, -5, -18, 50, 23],
 [32, 4, 16, -36, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-21, 25, -6, -4, 27],
 [41, -17, 11, 6, -21],
 [-42, 8, -28, -18, 25],
 [16, 7, 43, 33, -20],
 [-26, -15, 3, 9, -13]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, -24, 8, 10, -4],
 [23, 15, -12, 17, -7],
 [1, -14, 24, 8, -2],
 [24, 35, -62, 13, -8],
 [26, 29, -54, 19, -10]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[4, -4, -2, -5, 1],
 [-1, 1, 20, 17, -4],
 [6, -6, 10, 3, -1],
 [-70, 16, 14, 20, -4],
 [-36, 54, -14, 36, -6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-38, -62, -29, 27, 13],
 [28, 14, -17, 9, -11],
 [7, 13, 7, -6, -2],
 [-13, -2, 23, -24, -7],
 [-22, 13, 32, -12, 23]]

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


[User]
What is the rank of the matrix:
[[17, -20, -8, 17, 24],
 [-8, 16, 6, -7, -31],
 [-19, 20, 54, -27, -58],
 [-34, 24, 14, -37, -3],
 [5, -12, -28, 8, 45]]?

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


[User]
Determine the rank of the following matrix:
[[-26, -12, 22, 36, 30],
 [-25, -4, 19, 33, 24],
 [5, 12, -7, -9, -12],
 [-16, -16, 16, 24, 24],
 [-8, -36, 16, 18, 30]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[47, 1, -22, -39, -33],
 [47, 7, -7, -39, -36],
 [24, 5, 2, -22, -22],
 [20, -15, 1, 1, -37],
 [17, -10, 21, 11, -38]]

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


[User]
What is the rank of the matrix:
[[7, 18, 9, 41, -1],
 [8, 15, 14, 32, -3],
 [5, 0, 15, -5, -5],
 [-9, -15, -17, -31, 4],
 [0, -9, 6, -24, -3]]?

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


[User]
What is the rank of the matrix:
[[-4, 15, -49, -54, 2],
 [-8, -18, 46, 52, 4],
 [4, 18, -50, -56, -2],
 [12, -6, 30, 32, -6],
 [-8, -12, 28, 32, 4]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, 5, -4, 6, -1],
 [36, -30, 24, -36, 6],
 [36, -30, 24, -36, 6],
 [24, -20, 16, -24, 4],
 [-30, 25, -20, 30, -5]]

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


[User]
What is the rank of the matrix:
[[-10, 10, 6, 14, 14],
 [3, 6, -20, -26, -29],
 [1, -10, 18, 19, 19],
 [8, -12, 2, 3, 14],
 [-19, 24, 4, 5, -17]]?

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, 42, 32, -12, 32],
 [-11, -23, -8, 18, 0],
 [25, 31, 1, -36, -18],
 [-8, -12, -2, 12, 4],
 [11, 23, 8, -18, 0]]

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


[User]
Find the rank of the matrix:
[[4, 54, -10, -29, -8],
 [44, -32, -10, 31, 11],
 [32, 8, -18, 11, -5],
 [-2, -29, 21, 1, 23],
 [-11, 15, 1, -10, -7]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, 40, -22, -36, -4],
 [-18, -26, 29, 21, 2],
 [12, 60, -54, -48, 6],
 [-22, 58, 14, -25, -12],
 [8, -56, 32, 44, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[33, 20, -20, 36, 15],
 [27, 5, -20, 24, 15],
 [27, 30, -12, 36, 9],
 [36, 15, -24, 36, 18],
 [-27, -30, 12, -36, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 13, -4, 17, -29],
 [-15, 12, -6, -12, 9],
 [0, 13, -4, 17, -29],
 [8, 4, 0, 20, -28],
 [14, -6, 4, 18, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -18, -22, -16, -6],
 [16, 20, 32, 14, -16],
 [12, 12, 20, 8, -12],
 [-5, 11, 13, 10, 5],
 [-6, 6, 6, 6, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -45, -13, 9, -16],
 [-14, 11, -23, 13, -2],
 [-6, 23, -3, 1, 6],
 [-22, 15, -37, 21, -4],
 [6, -31, 0, 1, -9]]

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