[User]
Compute the rank of the given 5x5 matrix:
[[-28, -27, -17, -29, 13],
 [-30, 25, -43, 29, -14],
 [20, 14, 11, 20, -7],
 [40, -34, 18, 18, 14],
 [18, 46, 23, 14, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -3, 13, 16, 17],
 [2, 6, -12, -12, -14],
 [6, -27, 19, 4, 13],
 [-4, 24, -20, -8, -16],
 [-7, 6, 9, 18, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -9, -9, -3, 9],
 [-12, -9, -9, -3, 9],
 [4, 3, 3, 1, -3],
 [16, 12, 12, 4, -12],
 [-24, -18, -18, -6, 18]]

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


[User]
Find the rank of the matrix:
[[-12, -12, 30, -6, 6],
 [8, 8, -20, 4, -4],
 [0, 0, 0, 0, 0],
 [6, 6, -15, 3, -3],
 [-6, -6, 15, -3, 3]]

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


[User]
Find the rank of the matrix:
[[-7, -15, -34, -2, 25],
 [9, 22, 22, -11, -24],
 [-9, -21, -30, 6, 27],
 [1, 5, -18, -14, 5],
 [9, 21, 30, -6, -27]]

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


[User]
Find the rank of the matrix:
[[3, 5, -1, 5, -15],
 [-24, 30, 15, 30, -6],
 [-10, 0, 5, 0, 20],
 [18, -20, -11, -20, 0],
 [24, -20, -14, -20, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-52, 42, 2, -6, -54],
 [30, -24, -3, 0, 33],
 [2, -1, -5, -9, 7],
 [-4, 5, -14, -27, 10],
 [40, -32, -4, 0, 44]]

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


[User]
Calculate the rank of matrix A where A =
[[23, -35, 28, -28, 18],
 [2, 7, 1, -21, 62],
 [47, 1, 28, -36, -10],
 [4, 13, -16, 8, -53],
 [3, 9, -2, -2, 0]]

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


[User]
Find the rank of the matrix:
[[2, 24, 5, 20, -37],
 [-10, -4, 4, 16, -18],
 [-10, -8, 3, 12, -11],
 [-6, -8, 1, 4, -1],
 [-12, -8, 4, 16, -16]]

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


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

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


[User]
Find the rank of the matrix:
[[33, -9, 24, -36, 30],
 [-31, 15, -32, 20, -2],
 [-10, -3, 1, 23, -32],
 [-18, 9, -19, 11, 0],
 [10, -6, 12, -4, -4]]

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


[User]
What is the rank of the matrix:
[[24, -30, -40, 41, 23],
 [-6, -13, -39, 29, 13],
 [13, -12, 3, -22, -8],
 [17, 33, -22, 24, 40],
 [-16, 47, 36, -28, -5]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[5, -24, 12, -19, 30],
 [36, -25, 22, 28, -42],
 [3, 12, -6, 33, -54],
 [-27, -4, -14, 19, -42],
 [-14, -55, 10, 2, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -36, -4, 0, 22],
 [-25, 0, 22, -16, -16],
 [54, 12, -68, 8, 24],
 [30, 18, -36, 4, 6],
 [18, -27, -12, 22, 30]]

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


[User]
Find the rank of the matrix:
[[-31, -35, -28, 38, 47],
 [38, 26, -6, 22, -12],
 [-15, -14, -8, 8, 16],
 [18, 1, 23, 1, -18],
 [0, -20, 25, 5, -5]]

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


[User]
Find the rank of the matrix:
[[1, -8, -20, 30, -57],
 [-3, -15, 4, 15, 17],
 [-11, -30, -12, 44, -11],
 [-8, 5, -16, 1, -28],
 [-38, -22, -24, 22, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, 18, 33, -24, 8],
 [21, 15, -81, 57, -9],
 [20, -23, -56, 41, 3],
 [-4, 74, 37, -42, -21],
 [6, 64, 13, -30, -34]]

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


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

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


[User]
Find the rank of the matrix:
[[-60, 36, 7, -39, 23],
 [-38, 14, -71, -37, 25],
 [12, 22, 9, 5, -41],
 [13, 48, 55, 22, 20],
 [-16, -39, -25, -16, 1]]

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


[User]
Find the rank of the matrix:
[[-2, 27, 13, -8, -6],
 [32, -21, -7, -10, -12],
 [2, 13, -5, 8, -10],
 [36, -40, -26, 6, -14],
 [-12, -6, -15, 21, 3]]

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


[User]
What is the rank of the matrix:
[[12, 6, -27, -12, -3],
 [-21, 2, 21, 26, 29],
 [5, 0, -6, -6, -6],
 [-4, -12, 30, 0, -18],
 [14, -8, 0, -20, -32]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-24, 0, -6, -34, 26],
 [60, 51, 14, 19, -38],
 [-12, -8, 27, -14, -10],
 [52, 56, 19, 68, -36],
 [-35, -5, -44, 15, 54]]

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


[User]
Determine the rank of the following matrix:
[[-20, -20, 15, 20, -5],
 [6, 21, -9, -36, -9],
 [-32, -12, 18, -8, -22],
 [4, -6, 0, 16, 8],
 [-18, 7, 6, -32, -22]]

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


[User]
Determine the rank of the following matrix:
[[-28, -73, 0, 14, -38],
 [-10, 9, 30, -21, 20],
 [27, 16, -68, 8, -27],
 [-18, 9, 44, -37, 28],
 [-1, -45, 14, 30, 23]]

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


[User]
Determine the rank of the following matrix:
[[-1, 0, -3, -12, -4],
 [4, 16, 24, -4, -16],
 [-3, -8, -33, -28, -8],
 [-6, -12, 6, 0, 22],
 [8, 28, 30, -10, -34]]

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


[User]
Calculate the rank of matrix A where A =
[[-32, -14, -6, -16, 11],
 [-9, -6, -47, -26, -13],
 [-4, 2, -34, -40, -32],
 [-27, -12, 17, 2, 22],
 [17, 14, 23, -6, -22]]

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


[User]
Find the rank of the matrix:
[[-16, 0, 12, -20, 4],
 [0, 8, -14, 6, -6],
 [2, 18, -33, 16, -14],
 [-4, 0, 3, -5, 1],
 [10, 6, -18, 17, -7]]

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


[User]
Find the rank of the matrix:
[[32, -6, -34, -4, 10],
 [9, 21, -2, -19, -2],
 [33, 0, -33, -9, 9],
 [-19, 18, 25, -9, -9],
 [21, -39, -34, 25, 14]]

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


[User]
Find the rank of the matrix:
[[30, -29, -31, 19, 18],
 [-12, 11, 13, -4, -6],
 [6, -8, -4, 17, 8],
 [-24, 22, 26, -8, -12],
 [36, -40, -32, 54, 32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -9, -15, 16, 56],
 [-2, 10, 4, -6, -42],
 [-6, -17, -5, 3, -30],
 [-13, -4, 7, 2, -17],
 [-11, -15, -6, 14, 40]]

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


[User]
What is the rank of the matrix:
[[22, -2, -2, 36, 42],
 [0, -27, 3, -27, 15],
 [15, -30, 48, 19, 33],
 [-11, -8, -10, -33, -13],
 [-8, -23, 63, -7, -17]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-13, -7, -14, 6, -28],
 [-8, -12, 16, -4, 32],
 [-11, -9, -2, 2, -4],
 [-45, -40, 2, 5, 4],
 [38, 32, 4, -6, 8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -4, 16, 0, -8],
 [0, 0, 0, 0, 0],
 [-3, -3, 12, 0, -6],
 [4, 4, -16, 0, 8],
 [6, 6, -24, 0, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[38, -37, -21, -10, 34],
 [-18, -31, 13, -19, 3],
 [42, 15, 7, -4, 28],
 [18, -40, 14, -21, 29],
 [-19, 7, -10, -4, -12]]

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


[User]
Find the rank of the matrix:
[[-15, -5, -25, -25, -5],
 [-6, -6, -9, -8, -4],
 [0, -20, 5, 10, -10],
 [27, 21, 42, 39, 15],
 [-24, -16, -38, -36, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 17, 37, 5, -25],
 [15, -59, -6, 30, 37],
 [-22, -20, -2, 32, -26],
 [2, -57, -6, 39, 18],
 [22, -13, -25, -14, 38]]

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


[User]
Find the rank of the matrix:
[[-21, 15, -6, 36, 6],
 [-24, 16, -4, 12, 8],
 [-42, 26, -2, -30, 16],
 [55, -35, 5, 15, -20],
 [-30, 20, -5, 15, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 1, 43, 2, -35],
 [-21, -3, -33, 0, 27],
 [-31, -1, -61, -5, 47],
 [5, -7, -9, 8, 13],
 [34, 4, 12, -2, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[13, 43, 22, 17, -22],
 [-18, -2, 28, -16, 14],
 [-69, -22, 56, -49, 26],
 [31, 45, 5, 33, -51],
 [5, -14, -10, 1, -8]]

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


[User]
Find the rank of the matrix:
[[-31, -11, -4, 1, 30],
 [-19, 0, -6, -4, 12],
 [-25, -15, 0, 5, 30],
 [-27, -1, -8, -5, 18],
 [-43, -3, -12, -7, 30]]

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


[User]
Determine the rank of the following matrix:
[[-9, 17, -37, -34, 58],
 [-6, -12, 39, 3, -21],
 [-45, -34, 11, -16, -11],
 [-15, -1, 5, -22, 22],
 [-3, 12, -48, -15, 36]]

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


[User]
What is the rank of the matrix:
[[17, 22, -13, 6, -6],
 [-13, -18, -8, 21, -13],
 [24, 6, 41, 16, -31],
 [37, 32, 18, -30, -1],
 [-2, -4, 22, 4, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[32, 11, -6, 1, -26],
 [0, -15, -2, -13, 2],
 [12, -9, -4, -11, -8],
 [-30, -30, 3, -18, 27],
 [20, 35, 0, 25, -20]]

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


[User]
Find the rank of the matrix:
[[-22, 20, 20, 5, -27],
 [0, -4, -26, -23, 23],
 [-23, 16, -11, -23, 0],
 [-25, 16, -21, -33, 8],
 [-6, 0, -30, -30, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -6, 47, -17, -62],
 [-3, -17, -4, 22, -2],
 [7, -18, 29, 3, -48],
 [-74, -14, 38, 10, -68],
 [6, -1, 44, -20, -50]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [6, 6, 4, 2, -8],
 [-3, -3, -2, -1, 4],
 [-12, -12, -8, -4, 16],
 [-9, -9, -6, -3, 12]]?

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


[User]
Find the rank of the matrix:
[[0, 3, 7, -4, -3],
 [-8, -34, -35, 27, 35],
 [1, 8, 12, -5, -7],
 [2, 13, 18, -9, -12],
 [0, -3, -9, 10, 5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-21, 15, 30, -42, 3],
 [2, -4, -14, 20, 0],
 [30, -6, 24, -36, -6],
 [-12, 6, 6, -8, 2],
 [-4, -1, -11, 16, 1]]

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


[User]
What is the rank of the matrix:
[[5, 21, -32, 34, -59],
 [6, -25, -9, -15, 3],
 [7, -31, 7, -38, 69],
 [-31, 32, -15, 21, -12],
 [5, 51, -21, 60, -89]]?

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


[User]
Determine the rank of the following matrix:
[[18, 6, -15, 9, 6],
 [36, 12, -30, 18, 12],
 [-6, -2, 5, -3, -2],
 [18, 6, -15, 9, 6],
 [-24, -8, 20, -12, -8]]

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


[User]
What is the rank of the matrix:
[[-17, -29, -3, 6, -1],
 [-25, -24, -4, 0, -8],
 [-12, -25, -3, 6, 1],
 [-48, -2, -38, -36, -26],
 [6, 21, -21, -18, 0]]?

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


[User]
Determine the rank of the following matrix:
[[2, -5, 3, 2, 4],
 [-20, -14, -22, -4, 16],
 [6, -15, 9, 6, 12],
 [4, 6, 4, 0, -6],
 [22, 1, 26, 8, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-58, -11, 35, 41, 6],
 [11, -6, -42, 16, 23],
 [47, 0, -50, -23, 9],
 [-7, 22, 22, 14, -7],
 [28, -2, -34, -12, 8]]

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


[User]
Find the rank of the matrix:
[[4, -23, 32, -52, 41],
 [17, -19, -27, -19, 15],
 [-23, 16, 52, -18, 31],
 [-7, -48, 14, -14, -5],
 [12, -3, -18, 4, -11]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 18, -15, -15, -6],
 [0, 24, -20, -20, -8],
 [0, -30, 25, 25, 10],
 [0, -12, 10, 10, 4],
 [0, 36, -30, -30, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[-26, -11, 39, 4, -5],
 [24, 12, -36, 0, 12],
 [8, 11, -12, 14, 32],
 [-14, -5, 21, 4, 1],
 [6, -6, -9, -18, -33]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -10, 0, -12, -4],
 [7, -5, 25, -6, 28],
 [21, 30, -45, 36, -42],
 [-38, -20, -10, -24, -20],
 [18, 15, -10, 18, -6]]

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


[User]
Determine the rank of the following matrix:
[[1, -31, -26, 11, 17],
 [14, -14, -6, 16, -6],
 [1, -5, 2, 19, 11],
 [-2, 14, -14, 61, 20],
 [18, -14, -8, -51, -44]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[41, -3, -12, 14, -3],
 [12, 4, 0, 8, -4],
 [-4, -3, -18, -25, 1],
 [-3, -1, 24, 28, 3],
 [-20, -5, 18, 9, 7]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 12, -12, 2, -22],
 [-30, 0, -27, -32, -10],
 [-68, 40, -57, -20, -34],
 [-43, 44, -45, 1, -45],
 [-56, 16, -45, -35, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, -24, -12, -8, 40],
 [-10, -12, -6, -4, 20],
 [-34, -24, -18, 0, 36],
 [-23, 6, -9, 18, -18],
 [31, 12, 15, -8, -14]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, -50, 4, 46, 18],
 [-12, 19, 33, -22, 45],
 [-6, 43, 0, -34, 6],
 [-22, 32, 29, -28, 51],
 [-2, -18, -32, 26, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[60, 1, 41, 28, -6],
 [-41, -26, -12, -15, 1],
 [-35, -21, -11, -13, 1],
 [20, -16, 24, 12, -4],
 [24, 20, 4, 8, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -30, 5, 18, 10],
 [-26, -3, -49, 32, -32],
 [34, -33, 25, 7, 30],
 [-5, -27, -8, 21, -14],
 [21, -11, -2, 6, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[36, 10, -45, -5, -24],
 [36, 8, 8, -8, -28],
 [58, 21, -13, -3, -38],
 [-72, -25, 15, 5, 48],
 [-56, -4, 22, 22, 48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 18, -24, 52, -26],
 [15, -9, -3, -6, -12],
 [4, -3, 2, -6, 1],
 [-20, 15, -10, 30, -5],
 [11, -12, 23, -44, 29]]

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[User]
Determine the rank of the following matrix:
[[-4, -3, 5, -38, 18],
 [8, 3, 20, 21, -26],
 [0, 6, -15, 35, -10],
 [-2, -33, -20, -34, 39],
 [8, -24, 29, -39, 6]]

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[User]
Calculate the rank of matrix A where A =
[[-20, -2, -48, -2, 68],
 [5, 18, -24, -11, 38],
 [25, 20, 18, 27, 20],
 [-35, -41, -6, 16, -6],
 [25, 22, 21, -17, -33]]

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[User]
What is the rank of the matrix:
[[1, -3, -3, 0, 1],
 [-6, 18, 18, 0, -6],
 [3, -9, -9, 0, 3],
 [-2, 6, 6, 0, -2],
 [6, -18, -18, 0, 6]]?

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

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

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[User]
Calculate the rank of matrix A where A =
[[-31, -44, -6, 17, -5],
 [-14, -28, 25, -26, 14],
 [-49, -76, 1, 31, -7],
 [6, 9, 45, -9, 3],
 [21, 64, -26, 17, -21]]

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[User]
Find the rank of the matrix:
[[21, 6, -54, 0, -33],
 [22, -13, -18, 18, -32],
 [0, 15, -30, -14, -2],
 [1, -19, 36, 18, 1],
 [-20, 20, 0, -24, 28]]

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

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

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[User]
Determine the rank of the following matrix:
[[38, 1, 1, 36, -49],
 [13, -9, -35, 25, -43],
 [14, -1, 17, 8, -17],
 [5, -5, -11, 9, -19],
 [6, -5, -5, 8, -19]]

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[User]
Find the rank of the matrix:
[[42, 63, -11, -2, 10],
 [-4, 6, -6, -52, 26],
 [22, 1, -15, 23, -42],
 [38, 37, -9, 42, -24],
 [12, 36, 10, -2, -20]]

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[User]
Calculate the rank of matrix A where A =
[[-45, -13, -39, 24, 41],
 [21, 0, 16, -16, -29],
 [-16, -27, -17, -46, 9],
 [-12, 4, 0, 24, 7],
 [-25, -15, 15, -14, 3]]

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[User]
Find the rank of the matrix:
[[3, 2, -2, -1, 19],
 [2, 34, -36, 11, -6],
 [-31, -24, 50, 8, -41],
 [28, -6, 20, 35, 26],
 [18, 6, -16, 1, 17]]

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[User]
Find the rank of the matrix:
[[56, 10, 42, 94, -30],
 [-14, 33, -18, -9, 8],
 [-15, -34, -36, -58, 46],
 [-7, -32, 7, -23, 1],
 [-7, -10, 16, -4, -18]]

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[User]
What is the rank of the matrix:
[[14, 2, 3, 10, -2],
 [-7, 1, -9, -16, -8],
 [-44, -4, -18, -44, -4],
 [-5, -1, 0, -2, 2],
 [-1, 3, -12, -18, -14]]?

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[User]
Find the rank of the matrix:
[[-6, 27, 24, 15, 9],
 [-4, -20, -8, -8, -24],
 [11, -21, -26, -14, 6],
 [13, 8, -10, -1, 33],
 [19, 0, -22, -7, 39]]

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

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[User]
Find the rank of the matrix:
[[38, -50, 18, 22, -20],
 [22, -10, -14, 20, 56],
 [42, -16, -1, -1, -16],
 [-23, 21, -8, -2, 34],
 [24, -40, 23, 6, -66]]

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[User]
Find the rank of the matrix:
[[35, 14, -3, -34, 13],
 [-7, -7, 3, -1, 1],
 [38, 20, -6, -28, 10],
 [-16, -4, 0, 20, -8],
 [20, 12, -4, -12, 4]]

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[User]
Calculate the rank of matrix A where A =
[[26, 33, 30, 22, -7],
 [-10, 3, -5, -15, 4],
 [-18, -45, -30, -6, 3],
 [36, 18, 30, 42, -12],
 [-18, 3, -10, -26, 7]]

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[User]
What is the rank of the matrix:
[[27, -59, -51, 18, -42],
 [-13, -23, -35, 2, -14],
 [-32, 45, 25, -49, 48],
 [-31, -2, -21, 0, -1],
 [-2, 18, 13, -37, 27]]?

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[User]
Determine the rank of the following matrix:
[[18, 22, -18, 6, -56],
 [-25, -3, 11, -19, -39],
 [19, 3, 7, -11, 3],
 [-34, -7, -14, 24, 5],
 [30, 19, -18, 12, -23]]

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[User]
Find the rank of the matrix:
[[-18, -6, 6, 24, 18],
 [-15, -5, 5, 20, 15],
 [0, 0, 0, 0, 0],
 [-6, -2, 2, 8, 6],
 [9, 3, -3, -12, -9]]

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[User]
Compute the rank of the given 5x5 matrix:
[[1, 12, -7, 15, 39],
 [-15, -26, -9, 11, -27],
 [9, 9, 16, -27, -18],
 [14, 4, 5, -10, -15],
 [-1, -22, -4, 1, -42]]

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[User]
Find the rank of the matrix:
[[-3, 40, -49, 12, 19],
 [-7, -27, 42, -11, -23],
 [-46, 21, -19, 17, -8],
 [-3, -38, 40, -5, -14],
 [35, -22, 15, -10, 9]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-8, 60, 8, -6, 20],
 [14, -45, -14, 3, -5],
 [4, 26, -4, -4, 18],
 [-12, 50, 12, -4, 10],
 [18, -3, -18, -3, 21]]

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[User]
Calculate the rank of matrix A where A =
[[2, 12, 2, -8, -4],
 [8, -21, -7, 7, 14],
 [14, 38, 4, -30, -8],
 [9, 31, 4, -23, -8],
 [25, 35, 0, -35, 0]]

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[User]
Find the rank of the matrix:
[[21, 2, -22, -18, -15],
 [40, 36, -24, -42, 7],
 [-6, 32, 30, -22, 10],
 [-43, -82, -10, 96, 8],
 [12, -36, -40, 22, -13]]

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[User]
What is the rank of the matrix:
[[-12, -3, 3, -18, 0],
 [15, 15, 25, 0, 0],
 [16, 22, 42, -12, 0],
 [15, 24, 48, -18, 0],
 [20, 14, 18, 12, 0]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[2, 10, 8, -6, 4],
 [-6, -42, -40, 14, -4],
 [-2, -4, 0, 8, -8],
 [-5, -34, -32, 12, -4],
 [-6, -24, -16, 20, -16]]

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[User]
Determine the rank of the following matrix:
[[17, 15, -5, 16, 8],
 [21, -17, -30, 36, 8],
 [-8, 4, 17, -20, -8],
 [4, 18, -4, 10, 11],
 [-20, 24, 32, -36, -6]]

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[User]
What is the rank of the matrix:
[[6, -30, -7, 34, 0],
 [47, -32, 7, -10, 60],
 [18, -36, 3, 42, -18],
 [56, -43, 23, 8, 23],
 [-68, 76, 4, -76, -4]]?

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[User]
What is the rank of the matrix:
[[-10, -20, 37, -24, -35],
 [18, -28, 19, -24, -5],
 [3, -5, 8, -3, -13],
 [-13, 34, -38, 30, 34],
 [17, -8, 4, 0, -14]]?

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[User]
What is the rank of the matrix:
[[-25, 14, -8, 34, -24],
 [-27, -58, -17, 6, 50],
 [-57, 3, 1, 40, -36],
 [-28, -18, -52, 48, -4],
 [1, 11, -6, 28, 18]]?

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

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[User]
Find the rank of the matrix:
[[-26, -15, 5, 5, -20],
 [-2, -15, -34, -16, 1],
 [10, -29, -12, 2, 21],
 [52, -22, 31, 29, 65],
 [42, -17, 45, 35, 54]]

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[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [18, 9, 15, 6, -18],
 [-12, -6, -10, -4, 12],
 [-36, -18, -30, -12, 36],
 [0, 0, 0, 0, 0]]

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[User]
Compute the rank of the given 5x5 matrix:
[[31, 12, -4, -36, 15],
 [-20, 10, -40, -30, -15],
 [32, 4, 16, -12, 18],
 [-19, 12, -44, -36, -15],
 [15, -10, 36, 30, 12]]

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[User]
What is the rank of the matrix:
[[-4, -1, -2, 54, 28],
 [25, -12, 23, 26, 48],
 [-3, 40, 10, -47, -31],
 [41, -10, 23, 26, 30],
 [-14, 34, -4, -18, -31]]?

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

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[User]
Calculate the rank of matrix A where A =
[[-12, 43, -15, -14, 1],
 [-9, 34, -45, -26, 30],
 [5, 23, 36, 12, -29],
 [17, 49, -57, -28, -15],
 [50, -22, -12, 0, 18]]

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[User]
Calculate the rank of matrix A where A =
[[18, -9, -15, -9, -15],
 [-12, 6, 10, 6, 10],
 [-54, 36, 30, 6, 54],
 [-42, 30, 20, 0, 44],
 [-42, 27, 25, 7, 41]]

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[User]
Find the rank of the matrix:
[[-10, 7, 12, -24, -5],
 [11, 25, 20, -33, -32],
 [-12, -28, -20, 30, 34],
 [0, 25, 20, -30, -25],
 [44, 32, 8, 0, -48]]

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[User]
Determine the rank of the following matrix:
[[15, 5, 30, 15, 0],
 [3, 1, 6, 3, 0],
 [-3, -1, -6, -3, 0],
 [9, 3, 18, 9, 0],
 [6, 2, 12, 6, 0]]

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[User]
What is the rank of the matrix:
[[-36, -6, 18, 24, -36],
 [7, 2, -6, 42, -3],
 [-3, -1, 3, -26, 3],
 [21, 3, -9, -42, 27],
 [8, 2, -6, 32, 0]]?

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

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[User]
What is the rank of the matrix:
[[23, -2, -19, -24, -8],
 [-19, 4, 17, 21, 7],
 [16, -10, -18, -21, -7],
 [-7, 10, 11, 12, 4],
 [-12, -24, -4, 0, 0]]?

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[User]
Calculate the rank of matrix A where A =
[[-18, 16, -17, -6, 3],
 [-13, 1, -11, -17, 10],
 [15, -35, -5, -21, 16],
 [-45, 45, -45, -9, 4],
 [10, -10, -34, 2, 4]]

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[User]
Find the rank of the matrix:
[[31, -15, -21, 9, 26],
 [0, 45, 33, -53, 23],
 [-1, -19, -37, 12, 8],
 [16, 22, 10, -13, 20],
 [-1, 35, -55, -6, 44]]

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[User]
What is the rank of the matrix:
[[-61, -41, -52, -21, -10],
 [0, 6, 8, 20, -24],
 [-36, 12, 24, 42, -36],
 [16, 11, -12, 14, -50],
 [9, -8, -12, -12, 6]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[28, 26, 20, -12, 40],
 [-10, 25, -20, 30, 20],
 [-12, 30, -24, 36, 24],
 [-36, -6, -36, 36, -24],
 [-28, -26, -20, 12, -40]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-52, 26, 10, 26, -26],
 [-22, -25, 7, 47, 7],
 [6, -27, 3, 15, 18],
 [24, 2, -8, -20, 2],
 [-6, 43, -5, -29, -27]]

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

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[User]
Calculate the rank of matrix A where A =
[[-6, -9, 1, 8, 18],
 [-6, -29, 25, -3, 25],
 [6, 18, 20, -33, -17],
 [30, 0, -6, -1, 7],
 [28, -8, 4, -7, -3]]

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


[User]
Find the rank of the matrix:
[[51, -1, 7, -16, -44],
 [26, -3, -9, 8, -18],
 [-18, 9, -3, 15, 15],
 [12, 14, 12, -5, -15],
 [7, 16, -12, 33, -3]]

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


[User]
Find the rank of the matrix:
[[-1, 9, -11, -7, 17],
 [-8, 14, 50, -24, -21],
 [1, 4, 24, -12, -8],
 [-4, 7, -1, -5, 5],
 [-7, 12, 56, -24, -26]]

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


[User]
Find the rank of the matrix:
[[22, 64, -6, 8, 22],
 [-25, -25, 60, -38, -8],
 [-7, 40, 52, -18, 3],
 [28, 22, 12, -19, 2],
 [-14, -15, 28, -17, -5]]

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[User]
Determine the rank of the following matrix:
[[18, 66, 0, 18, -12],
 [-9, -8, 20, 21, -19],
 [-18, -11, 44, 48, -43],
 [12, 14, -24, -24, 22],
 [-6, -32, -8, -18, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, -5, 8, -16, 1],
 [15, 5, -28, 24, -55],
 [42, 13, 16, 17, 52],
 [48, 15, 13, 28, 58],
 [-15, 4, 3, 8, -3]]

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[User]
What is the rank of the matrix:
[[-39, 12, 15, -6, 33],
 [-44, -73, 32, -30, 16],
 [-12, -42, 14, 24, -14],
 [-13, -48, 34, -22, -9],
 [-61, -22, -33, -2, 65]]?

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

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


[User]
What is the rank of the matrix:
[[21, -21, -18, 9, 0],
 [-16, 17, 12, -12, 4],
 [0, -7, 12, 36, -28],
 [-18, 13, 24, 18, -20],
 [15, -12, -18, -9, 12]]?

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[User]
Find the rank of the matrix:
[[-11, 18, -8, 13, 22],
 [40, -14, 55, 25, 9],
 [10, -2, 28, -36, -22],
 [8, 2, 5, -28, -45],
 [5, -18, 7, -9, -3]]

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


[User]
Determine the rank of the following matrix:
[[16, -30, 8, 28, 12],
 [-29, -24, -5, -8, 2],
 [15, -24, 7, 24, 10],
 [-2, 12, -2, -8, -4],
 [-5, -3, -1, -2, 0]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 4, -12, -10, 2],
 [-18, -24, -6, -21, 15],
 [-16, -22, -12, -26, 16],
 [-8, -9, 14, 9, 0],
 [-20, -24, 20, 6, 6]]

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


[User]
Determine the rank of the following matrix:
[[4, 16, -42, 38, 13],
 [-3, -15, 67, -38, -10],
 [1, 28, 41, -38, -41],
 [16, 3, 16, 2, 2],
 [-24, -49, -12, 14, 40]]

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


[User]
Find the rank of the matrix:
[[-26, -14, 13, -2, 13],
 [-2, 7, -34, -19, 1],
 [20, 5, 15, 15, -10],
 [-22, -7, -10, -13, 11],
 [10, -2, 27, 18, -5]]

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[User]
Calculate the rank of matrix A where A =
[[9, 3, -19, -40, 4],
 [-6, -10, 16, 31, 14],
 [-17, -17, 29, 59, -4],
 [-23, -45, 25, 46, 0],
 [-10, -48, 0, -9, 20]]

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


[User]
Find the rank of the matrix:
[[31, 8, -63, 7, 44],
 [57, 6, -51, 29, 23],
 [51, -12, -33, 37, 11],
 [-47, 23, 9, -14, 17],
 [19, 16, -24, -7, 10]]

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


[User]
Find the rank of the matrix:
[[28, -7, -9, -9, -4],
 [-25, 25, 4, 13, -7],
 [-26, 11, 8, 24, 5],
 [-10, -8, -4, 12, 10],
 [-41, 5, 6, 29, 13]]

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


[User]
What is the rank of the matrix:
[[-3, 30, -6, -3, 32],
 [-28, 27, 36, -5, 15],
 [-24, 9, 36, -3, -3],
 [39, -27, -54, 6, -9],
 [30, -36, -36, 6, -24]]?

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


[User]
Find the rank of the matrix:
[[-19, -11, -24, -1, 46],
 [5, 5, -21, -10, 44],
 [31, 24, 22, -43, -30],
 [8, 8, -37, 15, 46],
 [3, 5, 0, -6, -13]]

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


[User]
Find the rank of the matrix:
[[-2, 16, 3, -10, 1],
 [13, 11, 29, -3, 19],
 [25, -45, 3, 21, 29],
 [-4, 60, 29, -31, 5],
 [-32, 16, -47, -15, -39]]

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


[User]
Find the rank of the matrix:
[[-6, -5, -25, 25, 43],
 [-4, -15, -19, 5, 17],
 [-3, 5, -11, 20, 29],
 [1, 10, 6, 5, 2],
 [-3, 0, -12, 15, 24]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, -4, 9, 4, 29],
 [-8, 12, -7, -12, -11],
 [-34, 44, -14, -44, 4],
 [-13, 18, -8, -18, -7],
 [-19, 26, -11, -26, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, 5, 5, 0, 20],
 [6, -6, -6, 0, -24],
 [-5, 5, 5, 0, 20],
 [2, -2, -2, 0, -8],
 [2, -2, -2, 0, -8]]

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


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

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


[User]
What is the rank of the matrix:
[[-31, -51, 31, -18, 14],
 [7, 35, -29, 13, 17],
 [0, 35, -35, 10, 40],
 [-4, 30, -32, 9, 41],
 [-2, 22, -24, 5, 33]]?

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


[User]
Find the rank of the matrix:
[[-13, -18, 17, 11, 9],
 [-1, -18, 11, 5, -9],
 [-6, -24, 17, 9, -5],
 [16, 36, -29, -17, -3],
 [18, 12, -16, -12, -20]]

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


[User]
Determine the rank of the following matrix:
[[14, -34, 20, 10, 12],
 [-34, 14, -20, 50, -12],
 [4, -8, 5, 1, 3],
 [2, 2, 0, -6, 0],
 [18, 6, 5, -41, 3]]

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


[User]
Find the rank of the matrix:
[[4, -27, -17, 16, -7],
 [0, 5, 11, -22, -1],
 [-22, 21, 11, 11, -2],
 [24, 8, -10, 6, 18],
 [10, 20, 0, 5, 15]]

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[User]
Calculate the rank of matrix A where A =
[[-30, 12, 0, 1, 2],
 [18, 12, 24, 31, -22],
 [12, 0, 24, 16, -22],
 [0, 16, 32, 32, -28],
 [8, -16, -28, -27, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-21, 4, -6, 42, -14],
 [17, 19, -6, -26, -11],
 [27, 29, -16, -39, -18],
 [-32, -28, 12, 50, 14],
 [34, 34, -6, -55, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -5, -14, 5, -6],
 [12, 14, -28, 34, -6],
 [-19, -22, 50, -17, -34],
 [50, 9, -66, 39, -1],
 [34, 4, -44, 14, 10]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[12, -6, 20, 18, 34],
 [-24, -8, -25, -6, -38],
 [12, 26, -4, -30, -14],
 [30, 49, 2, -51, -11],
 [0, 4, -3, -6, -6]]

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


[User]
Determine the rank of the following matrix:
[[-20, -34, -36, 20, 36],
 [-30, -17, 8, 12, 34],
 [-60, -54, -12, 18, 60],
 [24, -7, -53, 19, 6],
 [-30, -36, -21, 11, 32]]

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


[User]
Find the rank of the matrix:
[[42, -6, -48, -40, 64],
 [12, 57, 54, 86, -26],
 [-96, -21, -24, 10, 20],
 [42, 33, -12, 50, 5],
 [2, -45, -32, -66, -3]]

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


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

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[User]
What is the rank of the matrix:
[[8, 15, 50, -14, 43],
 [-14, 38, 8, -22, -10],
 [15, -2, 36, 12, 20],
 [10, -20, -4, 2, 6],
 [23, -8, 32, -10, 21]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-8, -21, -65, 25, 12],
 [-4, 6, -38, 22, -3],
 [-58, -6, -33, -5, 48],
 [32, 6, 30, 2, -18],
 [-44, -63, -13, -47, 42]]

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


[User]
Determine the rank of the following matrix:
[[3, 12, -3, -12, 6],
 [-3, -12, 3, 12, -6],
 [3, 12, -3, -12, 6],
 [5, 20, -5, -20, 10],
 [3, 12, -3, -12, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, -43, -21, 16, 28],
 [17, 40, -5, 13, 3],
 [24, -25, -24, 22, 28],
 [-38, -1, -46, -21, 14],
 [3, 34, -29, 10, 12]]

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


[User]
What is the rank of the matrix:
[[0, 5, -13, -11, -32],
 [-11, 2, -3, 0, -4],
 [14, 2, -8, -10, -24],
 [33, -6, 9, 0, 12],
 [17, -4, 7, 2, 12]]?

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


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

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[User]
Find the rank of the matrix:
[[15, 30, 30, -30, -20],
 [9, -9, 0, -6, 26],
 [4, 17, 14, -12, -18],
 [-3, 21, 12, -6, -34],
 [-13, 19, 4, 6, -46]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -20, 8, -16, 8],
 [25, 25, -10, 20, -10],
 [5, 6, 4, 10, -6],
 [0, 4, 24, 24, -16],
 [-5, 1, 38, 32, -22]]

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


[User]
Determine the rank of the following matrix:
[[-15, -31, 18, 37, -30],
 [-6, 22, 30, 0, 10],
 [-2, -20, -3, 15, -15],
 [34, 18, 12, -6, 20],
 [8, -4, -6, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-32, -56, 22, 14, -18],
 [41, 29, -42, -1, 19],
 [-31, -16, 16, 14, -19],
 [-12, 42, 4, 2, -8],
 [-26, -23, 54, -23, -4]]

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


[User]
Find the rank of the matrix:
[[26, 2, 14, -24, -16],
 [33, 9, 27, 0, 0],
 [-54, -16, -46, -6, -4],
 [-20, -1, -10, 21, 14],
 [18, 10, 22, 24, 16]]

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


[User]
Find the rank of the matrix:
[[-21, -7, 16, -15, 1],
 [-42, 34, -35, -14, 9],
 [-41, -7, -27, -7, 12],
 [6, -15, 26, -11, 13],
 [2, -28, 19, -8, 19]]

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


[User]
Determine the rank of the following matrix:
[[15, 9, -3, 15, 9],
 [-20, -12, 4, -20, -12],
 [-10, -6, 2, -10, -6],
 [-30, -18, 6, -30, -18],
 [10, 6, -2, 10, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-28, 0, -36, -8, 32],
 [-22, -36, -18, -32, 2],
 [-5, -12, -3, -10, -2],
 [-38, -24, -42, -28, 28],
 [-34, -48, -30, -44, 8]]

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


[User]
What is the rank of the matrix:
[[33, 20, 8, -13, 5],
 [27, -6, -4, -2, 12],
 [-15, -35, -17, 12, 6],
 [24, -9, -19, 12, 20],
 [27, 10, 4, -31, -1]]?

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


[User]
What is the rank of the matrix:
[[3, -6, -11, -11, -33],
 [6, 31, 12, 27, 78],
 [15, -3, 20, -3, 52],
 [-11, 3, 56, 3, 18],
 [36, -12, -30, -30, -18]]?

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


[User]
Find the rank of the matrix:
[[-8, -20, -8, 22, 4],
 [-76, 10, 4, -6, -12],
 [63, -20, 3, 10, 6],
 [41, -20, 5, 10, 2],
 [36, -30, -12, 30, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 12, 46, 24, -10],
 [-46, -24, 6, 19, -40],
 [-12, 11, 34, 13, -9],
 [-42, -12, 30, -6, -10],
 [35, 18, 9, -32, 47]]

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


[User]
Find the rank of the matrix:
[[9, 24, -14, -35, 7],
 [3, 1, -1, -24, -2],
 [-9, 12, -42, 12, -9],
 [37, -7, -31, -46, -2],
 [4, 18, 4, -28, 8]]

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


[User]
What is the rank of the matrix:
[[-30, -10, 26, -10, 16],
 [8, -38, -24, 42, 52],
 [-30, 12, 2, -32, -10],
 [-7, 24, 38, -20, -33],
 [-37, -31, 54, 43, 54]]?

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


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

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


[User]
What is the rank of the matrix:
[[-6, 2, -9, -11, 0],
 [-13, 2, -21, -28, 3],
 [7, -14, 3, -8, 15],
 [3, -8, 0, -7, 9],
 [31, -22, 39, 36, 15]]?

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


[User]
Determine the rank of the following matrix:
[[-8, 28, 12, -26, -36],
 [12, -32, -18, 34, 34],
 [-10, 20, 15, -25, -15],
 [8, -20, -12, 22, 20],
 [-12, 30, 18, -33, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-17, 45, -19, 29, 12],
 [19, 7, 23, 1, -30],
 [37, 47, 29, 18, -36],
 [14, -9, 13, -6, -12],
 [15, 19, 1, 21, 1]]

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


[User]
Find the rank of the matrix:
[[31, -7, 15, -13, -11],
 [16, -18, 10, -18, -14],
 [-17, -33, -29, 17, 45],
 [33, 29, 32, -17, -40],
 [-27, -13, -16, 5, 12]]

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


[User]
What is the rank of the matrix:
[[0, 0, -6, 36, -36],
 [0, 0, 3, -18, 18],
 [0, 0, 1, -6, 6],
 [0, 0, 6, -36, 36],
 [0, 0, 2, -12, 12]]?

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


[User]
What is the rank of the matrix:
[[17, 1, -18, -12, 14],
 [24, 12, -16, -3, 18],
 [3, -29, -22, 0, -14],
 [-8, -24, -8, 0, -16],
 [3, -5, -12, -33, 16]]?

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


[User]
Calculate the rank of matrix A where A =
[[6, 0, -6, -5, 6],
 [-24, -18, 48, 10, -30],
 [28, 24, -60, -10, 36],
 [-18, 36, -30, 35, -6],
 [18, 0, -18, -15, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [0, 18, -12, 3, 9],
 [-8, 42, -4, 25, 11],
 [6, -33, 4, -19, -9],
 [4, -18, 0, -12, -4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-13, 10, 6, -37, -39],
 [-23, -6, -6, -29, -33],
 [-5, -4, 13, 3, -21],
 [-26, -8, -43, -1, 18],
 [-13, 25, -26, 9, 14]]?

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


[User]
What is the rank of the matrix:
[[30, -30, 15, -5, 25],
 [-6, -6, 15, -24, -12],
 [-46, 28, -1, -29, -52],
 [8, -16, -14, -13, -17],
 [-44, 48, 12, 9, -9]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, 22, 18, 16, -13],
 [-27, -18, -72, -45, -3],
 [3, -29, -25, -27, 15],
 [36, -4, 59, 28, 8],
 [44, 33, 60, 39, 10]]

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


[User]
What is the rank of the matrix:
[[-19, 57, 22, -17, -19],
 [4, 20, 37, -31, 3],
 [0, -64, -25, 21, 14],
 [-10, -38, -37, 33, 5],
 [9, 42, 28, -26, -10]]?

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


[User]
Determine the rank of the following matrix:
[[-10, -19, -17, -16, 42],
 [-1, 26, -6, -13, -25],
 [15, -27, -13, -27, -5],
 [18, 15, 31, 17, -22],
 [-1, 14, -26, -29, -41]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[32, 48, 43, 4, 29],
 [-4, -26, -48, 1, -24],
 [-20, -21, 7, -8, -8],
 [-12, 13, 18, -2, 13],
 [0, -41, -46, 5, -29]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -12, -34, 36, 28],
 [32, 12, -4, 15, -8],
 [0, -14, -20, 50, 27],
 [0, 2, 32, -5, -3],
 [27, -26, -6, 5, -47]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 5, 16, -15, 10],
 [2, 6, 8, -2, 8],
 [9, 23, 12, 19, 24],
 [-4, -11, -10, -3, -13],
 [-2, -1, 22, -33, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 3, 1, 12, -9],
 [15, 6, -1, 26, 20],
 [0, -31, -52, -15, 21],
 [0, 41, 60, -1, -39],
 [-13, -19, -18, -21, -2]]

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


[User]
Find the rank of the matrix:
[[-5, 4, -4, 5, 9],
 [6, 4, 8, -6, -10],
 [-26, 12, 48, 26, 10],
 [-27, 26, -20, 27, 49],
 [6, -18, -16, -6, -4]]

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


[User]
What is the rank of the matrix:
[[-16, -36, 18, 28, 28],
 [-8, -22, 7, 26, 26],
 [-2, 3, 6, -19, -19],
 [6, 5, -11, 15, 15],
 [8, 20, -8, -20, -20]]?

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


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

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


[User]
Find the rank of the matrix:
[[15, -20, 24, 20, 9],
 [-27, 4, -24, -36, 3],
 [-9, -32, 12, -12, 21],
 [12, -24, 24, 16, 12],
 [0, 30, -18, 0, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -33, -18, -34, -15],
 [14, 4, 14, 10, -4],
 [13, -21, 0, -11, -21],
 [-13, -10, -16, -15, 0],
 [26, -27, 18, -28, -9]]

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


[User]
What is the rank of the matrix:
[[0, 6, -22, 2, 4],
 [0, 12, -44, 4, 8],
 [-35, -32, 24, 1, -12],
 [30, 15, 25, -5, 2],
 [0, -18, 66, -6, -12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -8, -20, 0, -24],
 [-8, -8, -20, 0, -24],
 [2, 2, 5, 0, 6],
 [8, 8, 20, 0, 24],
 [2, 2, 5, 0, 6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[29, -25, -44, 6, -28],
 [-11, -14, -34, 21, -57],
 [34, -10, -18, 29, 5],
 [30, -47, 2, -22, 32],
 [-19, 35, 9, 27, -10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[36, 0, -22, 27, -49],
 [-25, 0, -3, -17, 63],
 [-46, 0, -8, 11, 39],
 [2, 0, -49, 56, -23],
 [-61, 0, -27, 55, 3]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-33, -21, 24, -30, 60],
 [-7, -2, 20, -12, -13],
 [-10, -11, 12, 26, 5],
 [13, 31, -29, -51, -2],
 [-9, 9, -22, 43, 25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, -10, -20, -6, -31],
 [-100, -48, -11, -10, -4],
 [16, -26, 6, 33, 26],
 [-76, -52, -28, -1, 1],
 [32, 0, -5, 47, 77]]

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


[User]
Find the rank of the matrix:
[[52, 20, 31, 2, 2],
 [-62, 8, -8, -8, -36],
 [-5, 8, 28, 19, -6],
 [-17, 41, -5, -49, -55],
 [-43, -17, -18, 2, 5]]

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


[User]
Determine the rank of the following matrix:
[[-22, 0, -21, -27, 20],
 [-4, 24, -30, -10, 24],
 [-28, -12, -18, -10, 24],
 [-24, 12, -40, -12, 40],
 [-22, 9, -35, -8, 36]]

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[User]
Calculate the rank of matrix A where A =
[[0, -4, -1, -1, 6],
 [0, -4, -1, -1, 6],
 [0, 4, 1, 1, -6],
 [0, 0, 0, 0, 0],
 [0, -16, -4, -4, 24]]

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


[User]
What is the rank of the matrix:
[[-28, -42, -20, -30, 8],
 [20, -21, -21, 15, 19],
 [18, -25, 6, 5, 60],
 [20, 38, 29, 20, 3],
 [42, 45, 9, 45, -15]]?

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


[User]
Calculate the rank of matrix A where A =
[[-73, -13, 25, -25, 30],
 [6, 65, -27, 11, 28],
 [9, 4, -40, 5, -10],
 [27, 52, -2, 17, 8],
 [7, 29, -31, 13, -16]]

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


[User]
What is the rank of the matrix:
[[12, 3, -15, -9, 3],
 [16, 4, -20, -12, 4],
 [-8, -2, 10, 6, -2],
 [-12, -3, 15, 9, -3],
 [-20, -5, 25, 15, -5]]?

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


[User]
Calculate the rank of matrix A where A =
[[8, -3, -58, -38, 6],
 [-16, 1, 14, 2, 6],
 [-14, 0, 36, 46, -15],
 [-58, -4, -12, 22, -3],
 [12, 2, 36, 26, -9]]

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


[User]
Determine the rank of the following matrix:
[[27, 22, -22, 11, 26],
 [-14, -21, 29, -4, -5],
 [-13, -27, 46, -6, -27],
 [-9, 0, 33, -47, -4],
 [31, 40, -60, 16, 48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 10, -10, -2, 8],
 [42, -51, -3, 39, -18],
 [18, -27, 9, 15, -14],
 [-10, 16, -7, -8, 9],
 [-34, 49, -13, -29, 24]]

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


[User]
Determine the rank of the following matrix:
[[-31, -36, 43, 44, -47],
 [-11, -10, 4, 15, -27],
 [1, -12, -5, 7, -24],
 [15, 18, -34, -20, 2],
 [-28, -32, 36, 39, -37]]

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


[User]
What is the rank of the matrix:
[[31, -20, -8, -17, -14],
 [-42, 30, 6, 24, 24],
 [-23, 10, 14, 11, 2],
 [-14, -5, 27, 3, -18],
 [-10, 5, 5, 5, 2]]?

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[User]
Calculate the rank of matrix A where A =
[[2, 54, -11, 12, 25],
 [10, -8, 17, -14, -19],
 [59, -33, -13, -54, -58],
 [-21, 5, -5, 20, 22],
 [6, -78, 12, -24, -42]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[21, -23, 33, -8, -7],
 [-30, 30, 34, -6, -6],
 [21, -8, -45, 10, -10],
 [42, 4, -65, -11, -22],
 [45, 25, -91, -20, -31]]

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


[User]
Find the rank of the matrix:
[[-5, -16, 6, 23, -13],
 [27, 20, -28, -15, 17],
 [8, 10, -13, -25, 18],
 [15, 18, -11, -4, 4],
 [20, -2, -31, -19, 24]]

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


[User]
Determine the rank of the following matrix:
[[18, -1, 28, -14, 9],
 [-15, 22, -68, 11, 25],
 [-10, -22, 22, -14, -46],
 [15, 23, -31, -2, 47],
 [3, -2, 0, -1, -1]]

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


[User]
Find the rank of the matrix:
[[-4, 37, -21, -11, -25],
 [-8, 2, 6, -10, -2],
 [-24, -12, 30, -27, 6],
 [-8, -22, 22, -6, 14],
 [12, 27, -29, 10, -17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, 27, -4, -12, -9],
 [11, -29, 20, -30, 31],
 [-18, 11, 4, -8, -13],
 [10, -11, -2, 11, 4],
 [-1, 18, -22, 41, -27]]

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


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

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


[User]
Find the rank of the matrix:
[[-12, 6, -42, -24, 15],
 [-4, 2, -44, -17, 8],
 [36, -18, -4, 33, -32],
 [24, -12, -16, 18, -20],
 [-16, 8, -36, -26, 18]]

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


[User]
Find the rank of the matrix:
[[-17, -4, 3, -13, 2],
 [10, -25, -9, 29, 20],
 [18, -9, -2, 11, 10],
 [5, -5, 2, -4, 6],
 [12, -26, -12, 38, 20]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 18, 30, 30, 24],
 [0, -12, -20, -20, -16],
 [0, 6, 10, 10, 8],
 [0, 18, 30, 30, 24],
 [0, 3, 5, 5, 4]]

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


[User]
What is the rank of the matrix:
[[7, 14, 5, 18, -27],
 [7, -6, 0, -22, 13],
 [-3, 19, 10, -8, -18],
 [-2, 28, 13, 4, -34],
 [1, -8, -5, 10, 5]]?

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


[User]
Find the rank of the matrix:
[[0, -6, 20, -28, -12],
 [-7, 3, -20, 27, 27],
 [-29, -33, 30, -23, -33],
 [21, 15, 0, -9, -5],
 [15, 27, -30, 21, 63]]

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


[User]
What is the rank of the matrix:
[[24, 9, -10, 0, 20],
 [-8, 13, 10, -11, 2],
 [22, -32, -10, 12, -4],
 [14, 47, 20, -37, 34],
 [13, 7, -5, -1, 12]]?

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


[User]
Determine the rank of the following matrix:
[[17, -4, 10, -19, 13],
 [-8, -2, 5, 7, 1],
 [-22, 2, -5, 23, -11],
 [14, 2, -5, -13, 1],
 [-14, -2, 5, 13, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 26, -15, -28, -25],
 [8, -16, -6, 2, -4],
 [-23, 2, 31, 30, 39],
 [4, 8, -8, -12, -12],
 [-20, 56, 10, -18, 0]]

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


[User]
Determine the rank of the following matrix:
[[35, 17, -6, 10, 20],
 [3, -13, -17, 12, 5],
 [-27, -8, 38, -6, -17],
 [-30, -2, 27, 24, -8],
 [-22, -24, 6, -20, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[14, 30, -7, -28, -66],
 [-6, -3, -9, 15, 18],
 [24, 56, -12, 7, -31],
 [-16, -35, 14, -19, 20],
 [-20, 2, -66, 48, -14]]

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


[User]
What is the rank of the matrix:
[[3, -9, 5, 5, -21],
 [-15, -1, 10, -5, 22],
 [-17, 31, -25, -3, 33],
 [11, 7, -15, 5, -17],
 [5, 25, -25, -5, 25]]?

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


[User]
Determine the rank of the following matrix:
[[13, 21, 25, -23, 25],
 [-6, 28, -5, -24, 10],
 [-14, -7, -19, 10, -21],
 [-3, 25, -14, -21, 19],
 [14, -14, 31, 8, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[-49, -15, -13, 2, 8],
 [41, 11, 5, -7, -10],
 [0, -40, 45, -50, -11],
 [-12, -4, 24, 12, 12],
 [-17, -27, 10, -31, -7]]

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


[User]
What is the rank of the matrix:
[[12, -2, -2, -19, 18],
 [9, -33, 30, -9, 24],
 [-3, -13, 14, 7, 0],
 [-3, 17, -16, 2, -10],
 [27, -21, 12, -40, 46]]?

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


[User]
Find the rank of the matrix:
[[-31, 11, -8, 3, 13],
 [10, -4, -2, 16, -50],
 [11, -12, 9, 16, -21],
 [22, -6, -28, -5, 12],
 [32, -22, -1, 19, -23]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-33, 62, 2, -31, -4],
 [-13, -66, -28, -1, 36],
 [31, -46, -16, 27, -4],
 [78, 15, -12, 55, -64],
 [35, 17, -1, 31, -28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, 0, -12, 22, -3],
 [-8, -8, 10, -40, -30],
 [23, 25, 11, -8, 58],
 [25, 31, -42, 27, 12],
 [11, 32, -11, 30, 46]]

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


[User]
Determine the rank of the following matrix:
[[-17, 3, 43, 11, -11],
 [9, -11, 34, 38, -33],
 [-26, 4, -17, -25, 10],
 [-17, 1, 3, -21, 28],
 [5, -13, 8, -8, 41]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[38, 2, 18, 3, -29],
 [19, -21, 19, -53, -39],
 [-2, 0, 2, 12, -16],
 [-3, 11, -3, 37, 5],
 [6, 6, 6, 33, -21]]

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


[User]
Calculate the rank of matrix A where A =
[[32, 3, -12, 30, 0],
 [42, 18, 0, 36, 18],
 [18, 22, 16, 12, 26],
 [-11, 6, 12, -12, 9],
 [10, -10, -16, 12, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[-40, -6, -17, -37, 51],
 [45, 5, 21, 47, -59],
 [-33, -19, -26, -32, 46],
 [-32, 28, 9, -35, 35],
 [36, -47, -25, 35, -34]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, -29, 43, -34, 42],
 [29, 28, -33, 51, -33],
 [20, -3, 44, 3, 19],
 [17, -1, 31, 8, 16],
 [6, -5, -7, 38, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 14, -11, -14, 17],
 [15, 18, -33, -30, -21],
 [25, 22, -43, -62, -14],
 [4, 8, -8, -20, 14],
 [9, -10, -1, -12, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-19, -21, 34, -8, 16],
 [32, 12, -35, 1, -11],
 [5, 12, 10, 25, 4],
 [8, 18, -35, -1, -19],
 [56, -18, 7, 5, 23]]

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


[User]
Determine the rank of the following matrix:
[[55, -9, -44, -11, 16],
 [-27, 12, -4, 2, -23],
 [-38, -23, 15, 4, -9],
 [-21, -9, 33, 6, 6],
 [62, 2, -78, -16, 0]]

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


[User]
Determine the rank of the following matrix:
[[-30, 24, -29, -49, 16],
 [36, 10, -19, 17, -28],
 [18, -28, 37, 41, -8],
 [-36, -4, 13, -33, 22],
 [-48, 20, -22, -54, 32]]

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


[User]
Determine the rank of the following matrix:
[[12, 3, 23, 6, -8],
 [12, 3, 23, 6, -8],
 [-26, -24, -34, -23, -6],
 [-9, -12, -8, -11, -9],
 [-24, -27, -33, -11, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 0, 4, -14, -16],
 [-30, 0, -12, -14, 20],
 [-3, 0, 2, -19, -14],
 [12, 0, 10, -23, -34],
 [-18, 0, -10, 7, 26]]

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


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

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


[User]
What is the rank of the matrix:
[[-47, 73, -22, -55, -92],
 [-6, -29, 12, 12, 36],
 [-21, 1, -3, -18, 20],
 [6, -12, 9, -17, 22],
 [-1, -14, 7, 6, 14]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 32, -13, 69, 51],
 [10, -8, -8, -11, 6],
 [14, -16, -22, -25, 12],
 [22, -16, 3, -22, -3],
 [-27, 14, 30, 13, -33]]

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


[User]
Calculate the rank of matrix A where A =
[[22, 20, -10, -22, -56],
 [13, -20, -35, -21, 7],
 [-14, 14, 29, 29, 7],
 [-6, 14, 19, 15, -8],
 [30, -6, -21, -33, 18]]

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


[User]
What is the rank of the matrix:
[[-19, 26, -7, -24, 18],
 [34, -56, -18, 44, -8],
 [15, -12, 33, 18, -36],
 [-18, 27, 1, -23, 11],
 [-30, 51, 21, -39, 3]]?

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


[User]
Calculate the rank of matrix A where A =
[[-14, 1, 8, 16, -24],
 [-11, -14, 26, -17, -9],
 [-7, 5, -2, 17, -15],
 [-7, -13, 22, -19, -3],
 [-16, -4, 16, 8, -24]]

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


[User]
Find the rank of the matrix:
[[37, -4, 11, 16, -58],
 [104, -42, -11, -10, 26],
 [63, -7, -23, 10, 7],
 [-46, 32, 4, 20, -36],
 [7, -9, -9, -12, 45]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[11, 1, -13, 28, -10],
 [6, 1, -9, 17, -5],
 [0, 10, -42, 38, 10],
 [6, -14, 54, -40, -20],
 [20, -5, 5, 25, -25]]

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


[User]
What is the rank of the matrix:
[[-2, 2, -1, -6, -3],
 [-6, 7, -6, -10, -5],
 [-22, 27, -26, -26, -13],
 [-24, 27, -21, -48, -24],
 [-22, 27, -26, -26, -13]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -16, -4, -8, -16],
 [6, -8, -2, -4, -8],
 [18, -24, -6, -12, -24],
 [-12, 16, 4, 8, 16],
 [15, -20, -5, -10, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -6, -18, -2, 2],
 [2, -6, -18, -2, 2],
 [-24, 17, 21, 9, -4],
 [14, 2, 30, -2, -2],
 [33, -22, -24, -12, 5]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-20, -1, 58, -14, 6],
 [-24, -24, 43, -70, -46],
 [-5, 5, 68, -28, 3],
 [20, -6, -23, -34, -74],
 [-26, -30, -38, -24, -22]]

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


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

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


[User]
Determine the rank of the following matrix:
[[9, -15, 12, 6, 4],
 [-25, -35, 31, 37, 26],
 [8, 10, -8, -25, -24],
 [-7, -4, 0, -28, -24],
 [27, 27, -33, -24, 2]]

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


[User]
What is the rank of the matrix:
[[20, 5, -20, 15, -30],
 [-24, -6, 24, -18, 36],
 [-12, -3, 12, -9, 18],
 [0, 0, 0, 0, 0],
 [-24, -6, 24, -18, 36]]?

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


[User]
Determine the rank of the following matrix:
[[-13, -24, -6, -30, -26],
 [-45, -32, 11, -5, -30],
 [-18, 56, 12, -66, -64],
 [34, 67, 22, -28, 4],
 [-22, -1, 3, -11, -24]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 29, 16, -7, -27],
 [39, -36, 12, -15, -4],
 [-5, 13, 28, -29, -35],
 [6, -4, -14, 20, 16],
 [-7, -11, -18, 7, 25]]

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


[User]
Calculate the rank of matrix A where A =
[[35, -2, -9, -45, -52],
 [-37, 15, 30, 26, 65],
 [14, 10, -1, 28, 28],
 [48, 20, 12, -49, -22],
 [-43, 16, 28, 29, 64]]

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


[User]
Calculate the rank of matrix A where A =
[[-31, 12, -7, -46, -56],
 [16, -10, 4, 26, 12],
 [-37, 10, 4, -26, -2],
 [-14, -18, 15, 28, -18],
 [-2, 1, 5, 9, 36]]

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


[User]
Find the rank of the matrix:
[[12, 23, 26, -2, 29],
 [-15, 4, -9, 8, -6],
 [-35, 48, 17, 46, 28],
 [-26, -22, -28, 26, -32],
 [14, 34, 38, 4, 42]]

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


[User]
Find the rank of the matrix:
[[-1, -5, -5, 3, 3],
 [5, 25, 25, -15, -15],
 [-2, -10, -10, 6, 6],
 [1, 5, 5, -3, -3],
 [-2, -10, -10, 6, 6]]

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


[User]
What is the rank of the matrix:
[[25, 15, -25, -25, 30],
 [-3, -9, 3, -29, -18],
 [18, 0, -18, -66, 0],
 [7, -3, -7, -39, -6],
 [-1, 3, 1, 17, 6]]?

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


[User]
Find the rank of the matrix:
[[11, -28, 3, 12, -25],
 [28, -20, -36, 39, -65],
 [-29, -14, 17, -7, -14],
 [14, 12, 18, -19, 59],
 [-2, -40, 16, 2, -42]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -19, 14, 25, 11],
 [-38, -11, 34, -17, -30],
 [9, -3, -12, 33, 36],
 [19, 10, -26, 24, 38],
 [-2, -17, 10, 21, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[7, -10, 7, -28, -19],
 [-19, -5, -4, -14, -2],
 [-7, -5, -28, 34, 10],
 [-21, -10, -28, 16, 5],
 [26, -25, -3, -30, -37]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, 7, 3, 11, -2],
 [-8, 31, 3, 14, -23],
 [18, 30, -2, -3, -29],
 [34, 10, -6, -19, -17],
 [36, -24, -8, -30, 10]]

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


[User]
Find the rank of the matrix:
[[-22, 22, 0, 40, 73],
 [-9, 11, -22, 12, 27],
 [19, 35, -30, 72, 24],
 [-8, -10, 48, 2, -7],
 [17, -21, 9, -29, -75]]

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


[User]
Determine the rank of the following matrix:
[[20, 5, -30, 20, 10],
 [31, 19, -34, 21, 28],
 [1, -2, -4, 3, -2],
 [-11, -14, 4, -1, -18],
 [21, 12, -24, 15, 18]]

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


[User]
Determine the rank of the following matrix:
[[0, 26, 20, -34, 40],
 [-20, -11, 30, -1, 0],
 [-6, 11, 20, -19, 22],
 [-4, 3, 10, -7, 8],
 [-12, -17, 10, 13, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[7, 15, 6, 9, -14],
 [50, 5, 15, 16, -9],
 [-26, -40, -18, -26, 38],
 [-55, 0, -15, -15, 5],
 [13, 20, 9, 13, -19]]

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


[User]
What is the rank of the matrix:
[[-15, 33, 15, -15, 3],
 [-18, 18, 0, -6, 0],
 [9, -45, -30, 23, -6],
 [-17, 5, -10, 1, -2],
 [-9, -9, -15, 7, -3]]?

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


[User]
Determine the rank of the following matrix:
[[32, 12, -22, 29, 5],
 [0, -16, 10, -19, 11],
 [-42, 3, -1, -32, -39],
 [-10, -43, 35, -30, 42],
 [-26, -27, -19, -68, -33]]

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


[User]
What is the rank of the matrix:
[[6, -25, 25, -5, 4],
 [15, 27, -15, 3, 54],
 [-82, -39, 40, 15, 32],
 [33, 25, -25, -12, -48],
 [-38, -61, 30, 30, 34]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 6, 10, -6, 0],
 [18, -19, 19, -13, 4],
 [-16, -1, -27, 17, -2],
 [16, 1, 27, -17, 2],
 [16, 1, 27, -17, 2]]

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


[User]
Determine the rank of the following matrix:
[[14, 12, -12, -52, -10],
 [-32, -18, 40, 12, -40],
 [-16, -12, 16, 40, 0],
 [26, 12, -36, 20, 50],
 [-15, -9, 18, 12, -15]]

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


[User]
Determine the rank of the following matrix:
[[-5, -2, 22, 43, -10],
 [-31, 32, 38, 17, -65],
 [24, 12, -27, 5, 10],
 [28, -38, 25, 17, 19],
 [-40, 20, -22, -38, -4]]

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


[User]
Find the rank of the matrix:
[[0, 28, -26, -30, 21],
 [-21, -14, -20, -15, -21],
 [-23, -26, -12, -5, -31],
 [-11, -10, -8, -5, -13],
 [20, 8, 24, 20, 16]]

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


[User]
What is the rank of the matrix:
[[2, 31, -4, -54, 21],
 [24, -27, -10, -2, 5],
 [12, -24, -4, 16, -4],
 [20, -26, -8, 4, 2],
 [-9, -24, 7, 56, -23]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-44, 29, 27, 56, 72],
 [16, 6, -19, -24, 14],
 [-12, -30, 24, 6, 42],
 [32, 26, -43, -40, -10],
 [24, -5, -19, -26, -58]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -12, 12, 12, 12],
 [-15, -2, -22, 2, 8],
 [12, 2, 18, -2, -7],
 [-9, 12, 0, -12, -15],
 [6, 6, 14, -6, -11]]

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


[User]
Determine the rank of the following matrix:
[[48, 59, 26, -35, 56],
 [67, 37, 59, -29, 57],
 [10, 3, -26, 25, -3],
 [23, 16, 27, -22, 42],
 [-25, 6, -13, -8, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 24, -30, 0, -36],
 [-9, 12, -15, 0, -18],
 [0, 0, 0, 0, 0],
 [15, -20, 25, 0, 30],
 [3, -4, 5, 0, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -36, 12, -28, 4],
 [-12, 9, -18, 6, 6],
 [4, -18, 6, -12, 8],
 [5, -36, 12, -27, 7],
 [24, 45, 30, 34, -38]]

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


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

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


[User]
What is the rank of the matrix:
[[-21, 13, 7, -54, -40],
 [3, -9, -1, 4, 6],
 [6, -23, -2, -24, -19],
 [12, -14, -4, 0, -6],
 [33, -3, -11, -8, -46]]?

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


[User]
What is the rank of the matrix:
[[12, -3, 36, -23, -12],
 [18, -12, 54, -17, -3],
 [-10, 3, -30, 18, 9],
 [-6, 15, -18, -20, -21],
 [-22, 18, -66, 13, -3]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[24, -15, -35, -27, 2],
 [-36, 20, 50, 31, -7],
 [12, -50, -38, -16, 30],
 [39, -15, -51, -39, 1],
 [-21, -40, 6, 28, 39]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [4, -3, -5, 0, 6],
 [-16, 12, 20, 0, -24],
 [-4, 3, 5, 0, -6],
 [-24, 18, 30, 0, -36]]

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


[User]
Determine the rank of the following matrix:
[[3, -22, 51, 33, -3],
 [16, -10, -15, -3, 6],
 [-20, -26, -18, -20, 26],
 [-31, -6, 30, 6, 3],
 [-13, -26, -48, -36, 33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -6, -1, -6, 6],
 [-12, 36, 6, 36, -36],
 [-2, 6, 1, 6, -6],
 [6, -18, -3, -18, 18],
 [10, -30, -5, -30, 30]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 23, -7, -20, 2],
 [-32, -5, 25, 2, -38],
 [-4, 16, -4, -14, 0],
 [20, 25, -25, -20, 30],
 [-8, -17, 13, 14, -14]]

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


[User]
Determine the rank of the following matrix:
[[3, 3, -10, 2, -2],
 [3, 11, -38, -2, 6],
 [3, 11, -38, -2, 6],
 [18, 0, 3, 21, -30],
 [6, 0, 1, 7, -10]]

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


[User]
Determine the rank of the following matrix:
[[-24, -17, 25, -20, -28],
 [-33, -4, -16, -43, -23],
 [33, 4, 16, 43, 23],
 [-21, -8, 4, -23, -19],
 [-42, -11, -5, -50, -34]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[38, -30, -50, -13, -51],
 [52, -48, -57, -25, -58],
 [-34, 66, 16, 37, 25],
 [-52, 72, 36, 42, 41],
 [-10, 42, -13, 26, -6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[17, -17, 5, -9, 17],
 [-9, 29, 14, -28, 24],
 [48, -26, 46, 3, -50],
 [16, 46, -3, -32, 19],
 [-15, -1, -28, 18, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[60, -68, -17, -24, 35],
 [36, -22, -8, 8, 28],
 [-39, 44, -1, -19, 27],
 [-51, 52, 8, -3, -8],
 [42, -38, -11, -6, 29]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 8, -2, -4, 6],
 [12, -8, 2, 4, -6],
 [12, -8, 2, 4, -6],
 [-18, 12, -3, -6, 9],
 [24, -16, 4, 8, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[20, 30, -22, 10, -9],
 [41, 2, 22, -24, 0],
 [13, 44, 0, -14, -15],
 [50, 40, -6, -10, -12],
 [36, 12, 30, -34, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[26, -4, 6, 8, -4],
 [-8, -11, 0, -20, -2],
 [20, -42, -6, -12, 46],
 [-18, -1, -28, -16, 5],
 [23, 16, -5, 8, -33]]?

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


[User]
Determine the rank of the following matrix:
[[-28, -8, 38, 25, -2],
 [30, 9, 10, 6, -28],
 [29, 13, 24, 7, -42],
 [-16, -11, -8, 7, 26],
 [-21, -21, -48, -3, 66]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -6, 3, 2, -7],
 [-20, 15, 0, 0, 20],
 [-15, -9, 9, 18, -12],
 [20, -9, -3, -2, -13],
 [57, 6, -21, -50, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-57, 18, 45, -21, 18],
 [20, 15, -3, -23, -12],
 [-2, -17, -9, -33, 33],
 [-12, -22, -6, -14, 33],
 [19, -16, -21, 33, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 5, -10, -10, 0],
 [-6, -2, -6, -10, 12],
 [15, -9, 3, -3, 18],
 [11, -15, -5, -19, 42],
 [22, -9, 8, 4, 12]]

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


[User]
Determine the rank of the following matrix:
[[43, 40, -29, -31, 8],
 [14, 10, -24, 4, 19],
 [17, -21, 11, 33, 12],
 [8, 23, 42, 6, -8],
 [-57, -27, -27, 15, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-51, -32, -7, -48, 27],
 [-8, -90, -10, -43, 27],
 [54, -23, 2, 18, -17],
 [-22, -84, -14, -56, 18],
 [5, 20, 5, -14, -15]]

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


[User]
Determine the rank of the following matrix:
[[-18, -35, 2, 47, 40],
 [16, 50, -4, -39, -45],
 [16, -24, -85, 28, 65],
 [-4, -6, 8, 6, 20],
 [12, 30, 18, -46, -30]]

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


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

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


[User]
Find the rank of the matrix:
[[9, -6, 10, -47, -5],
 [-8, -14, -20, 29, 5],
 [12, 9, -43, -1, 2],
 [-15, 15, 70, -36, -22],
 [11, 5, -17, -29, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[23, -20, 38, 54, -7],
 [2, -16, 14, -6, -22],
 [-9, 12, -18, -18, 9],
 [1, 4, -2, 6, 7],
 [0, 0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[-10, 8, -22, -16, 3],
 [18, 12, 42, 12, 9],
 [4, -34, 6, 26, -18],
 [-10, 8, -22, -16, 3],
 [12, 30, 30, -6, 18]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-3, 9, 12, -9, -15],
 [4, -12, -16, 12, 20],
 [0, 0, 0, 0, 0],
 [-2, 6, 8, -6, -10]]?

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


[User]
Find the rank of the matrix:
[[-21, 25, -28, -14, -13],
 [19, -18, -3, 11, -9],
 [17, 16, -19, 23, -27],
 [-13, 17, -47, -12, -29],
 [25, 18, 0, 35, -19]]

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


[User]
Find the rank of the matrix:
[[0, 3, 0, -3, 6],
 [9, -6, 3, 9, 12],
 [12, -16, 4, 20, 0],
 [-12, 11, -4, -15, -10],
 [0, -5, 0, 5, -10]]

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


[User]
Determine the rank of the following matrix:
[[-19, 24, -11, 14, -12],
 [-13, 1, -3, -20, 34],
 [17, 6, 2, 40, -66],
 [10, -16, 7, -14, 14],
 [5, -1, 2, 6, -16]]

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


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

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


[User]
Find the rank of the matrix:
[[-21, 9, -5, -3, -6],
 [16, 3, 15, 5, -5],
 [-23, -2, -24, -4, 9],
 [0, -30, 21, -36, -15],
 [43, -2, 58, -4, -27]]

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


[User]
Calculate the rank of matrix A where A =
[[-25, 16, 25, -14, -19],
 [-2, -4, -6, 0, -6],
 [-39, 15, 15, -14, -40],
 [-23, 11, -17, 10, -28],
 [-11, -4, -21, 6, -21]]

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


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

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


[User]
Find the rank of the matrix:
[[23, -17, 40, -41, 28],
 [6, 12, 12, -30, 6],
 [-23, 17, -40, 41, -28],
 [-21, -9, -6, 21, -6],
 [-7, -9, 4, 5, 2]]

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


[User]
Determine the rank of the following matrix:
[[-17, -45, 9, 17, -43],
 [33, 13, 14, 34, -34],
 [-19, -41, 13, 35, 4],
 [-6, -39, 27, 30, 3],
 [30, 51, -10, -21, 0]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -28, 5, -8, 2],
 [8, 31, 20, -6, -18],
 [14, -9, 35, -22, -20],
 [12, 30, 30, -12, -24],
 [-20, 5, -50, 30, 30]]

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


[User]
What is the rank of the matrix:
[[-14, -12, -18, -6, -34],
 [40, -47, 29, 33, 2],
 [-56, 56, -53, -45, 12],
 [-22, 15, -37, -17, 36],
 [22, -60, 0, 24, -22]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -6, 8, -12, 18],
 [2, -8, 6, -24, 32],
 [22, -4, -10, -60, 64],
 [-5, -8, 9, 0, 8],
 [12, 2, -8, -30, 28]]

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


[User]
Find the rank of the matrix:
[[-6, -36, 30, -30, -18],
 [-4, -24, 20, -20, -12],
 [-1, -6, 5, -5, -3],
 [6, 36, -30, 30, 18],
 [2, 12, -10, 10, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[28, -40, -25, 2, -22],
 [23, -31, -13, 9, -23],
 [-46, 28, -11, -26, -2],
 [11, 9, 17, -19, -19],
 [-32, 48, 9, -50, 22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 3, -15, -18, 0],
 [24, -6, 30, 36, 0],
 [-16, 4, -20, -24, 0],
 [4, -1, 5, 6, 0],
 [-20, 5, -25, -30, 0]]

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


[User]
Find the rank of the matrix:
[[-15, -52, -6, 1, -11],
 [25, -22, -31, 20, -8],
 [-20, -16, -36, -40, -20],
 [0, -54, -51, -7, -23],
 [4, -28, 38, 20, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[3, -2, -6, 3, -4],
 [-2, 18, -61, 3, -34],
 [6, 6, -51, 9, -30],
 [33, -42, 12, 27, 0],
 [32, -38, 1, 27, -6]]

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


[User]
Determine the rank of the following matrix:
[[-39, -7, -3, 29, 22],
 [30, -3, 9, -32, -17],
 [-24, -22, 2, -1, -3],
 [-36, -31, 13, -1, 14],
 [48, 40, -24, 1, -31]]

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


[User]
Find the rank of the matrix:
[[-43, 16, 27, -19, 16],
 [20, -18, -11, -4, -7],
 [7, -20, 0, -18, -5],
 [-35, 65, 20, 24, 33],
 [15, -8, -1, -12, 2]]

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


[User]
Find the rank of the matrix:
[[-4, -13, 12, 10, 18],
 [5, -45, 40, 35, 60],
 [19, 25, -24, -19, -36],
 [18, 34, -32, -26, -48],
 [-19, -25, 24, 19, 36]]

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


[User]
What is the rank of the matrix:
[[-7, 15, -47, -51, -48],
 [-70, 24, 10, 14, -34],
 [-24, 6, 56, 44, 18],
 [3, 7, 31, 7, 42],
 [44, 0, 22, -14, 34]]?

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


[User]
Find the rank of the matrix:
[[0, 2, 1, 3, 1],
 [0, 10, 5, 15, 5],
 [0, 10, 5, 15, 5],
 [0, -10, -5, -15, -5],
 [0, 2, 1, 3, 1]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-39, -9, 16, -31, -28],
 [-27, -47, 21, 9, -60],
 [-44, -61, -46, -14, 45],
 [-2, -31, 12, 21, -43],
 [55, 66, 3, -3, -43]]

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


[User]
Determine the rank of the following matrix:
[[24, 0, -11, 3, -34],
 [-22, 5, 9, -23, 43],
 [24, -2, -3, 23, -46],
 [39, -34, -47, -20, -3],
 [0, -8, 6, 38, -22]]

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


[User]
Determine the rank of the following matrix:
[[32, -12, 17, 44, 5],
 [-4, 29, -15, -24, 3],
 [4, 18, 20, 24, -40],
 [10, 20, -3, 21, -9],
 [18, -12, -25, 3, 53]]

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


[User]
Determine the rank of the following matrix:
[[5, 47, 4, 43, -35],
 [51, -16, 3, -18, -16],
 [16, -17, 8, -40, 16],
 [-9, 5, 42, -39, 44],
 [-19, -8, 8, -11, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -6, 15, -18, 18],
 [35, -4, 17, -36, 24],
 [40, 14, -14, -30, -6],
 [10, -19, 37, -21, 39],
 [-55, -3, -10, 51, -21]]

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


[User]
Determine the rank of the following matrix:
[[-15, -12, 15, -24, 14],
 [10, 34, -4, 4, -26],
 [-13, -6, 39, -28, 18],
 [0, -24, -33, 21, 3],
 [13, 14, 21, -16, 16]]

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


[User]
Determine the rank of the following matrix:
[[-1, -30, 6, -1, 3],
 [-2, -6, 12, -2, -12],
 [-5, -48, 30, -5, -19],
 [5, 66, -30, 5, 13],
 [2, 30, -12, 2, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -44, -44, -34, -35],
 [-6, 33, 21, 51, 45],
 [-24, -8, 18, 0, 10],
 [-12, -20, 2, -50, -40],
 [-16, 8, 2, 14, 10]]

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


[User]
What is the rank of the matrix:
[[29, -23, -54, -49, -17],
 [-35, 0, 31, 48, 17],
 [-17, -45, -25, -4, 17],
 [-24, -2, -16, 29, -8],
 [-34, -20, 7, 33, 18]]?

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


[User]
What is the rank of the matrix:
[[-46, -16, -10, -14, -46],
 [32, 2, 8, 4, 26],
 [-15, 58, -30, 49, 32],
 [-10, 43, 32, 18, 8],
 [24, -54, -21, -30, -6]]?

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


[User]
Find the rank of the matrix:
[[-18, -6, 12, -70, -5],
 [1, -30, 7, -47, 30],
 [18, -30, 19, 22, 12],
 [-3, -18, 21, -24, -45],
 [1, 16, -3, 32, -22]]

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


[User]
Determine the rank of the following matrix:
[[18, -27, 3, -18, -3],
 [12, 42, -12, 36, 60],
 [34, -49, 9, -33, -9],
 [-32, 26, -23, 18, 15],
 [-18, -9, -44, -3, 36]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, -12, 15, 49, -28],
 [11, -12, -11, -6, -9],
 [-39, -63, 39, 34, 11],
 [-23, -67, 11, 8, -7],
 [-15, -5, -16, -35, -2]]

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


[User]
Determine the rank of the following matrix:
[[-43, 49, 23, -6, 6],
 [-12, -9, 2, 21, 11],
 [36, -30, -2, 14, 20],
 [19, -26, 11, 15, 21],
 [54, -30, 0, 48, 66]]

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


[User]
Find the rank of the matrix:
[[12, 8, -34, 20, 10],
 [-36, 2, 32, -28, 2],
 [18, -14, 19, -2, -17],
 [24, -6, 21, -3, -26],
 [52, -2, -42, 38, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[48, 55, -51, 2, 37],
 [-81, -69, 56, 34, -36],
 [0, 30, -42, 57, 28],
 [43, 38, -44, -2, 23],
 [-20, -21, 49, -33, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -10, 2, -13, -4],
 [18, 18, -42, 1, 36],
 [9, -18, 6, -22, -9],
 [3, 28, -32, 21, 31],
 [-18, -6, 30, 9, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -2, 28, -20, 66],
 [1, 10, -2, 11, -21],
 [2, -15, -18, 1, -14],
 [1, 33, 24, 29, 4],
 [5, -2, -26, 25, -51]]

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


[User]
Find the rank of the matrix:
[[-18, 19, -26, -2, 14],
 [26, 32, 47, 29, -23],
 [-18, 35, 2, 2, 17],
 [12, -32, -32, -2, -49],
 [-22, 30, 51, -9, 47]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[39, 23, 1, -15, -39],
 [2, 25, -2, -11, -16],
 [13, -16, -27, -41, -38],
 [-3, -42, -37, 1, -3],
 [-41, -62, -41, -5, 22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 11, 16, 25, -30],
 [-16, -6, -37, -39, 25],
 [11, 20, 36, -61, 30],
 [1, 25, 30, -22, -10],
 [-17, -2, -33, -32, 15]]

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


[User]
Find the rank of the matrix:
[[1, -9, -26, 12, -16],
 [9, 17, 60, -32, 38],
 [-8, 9, 19, -6, 11],
 [-13, -16, -61, 34, -39],
 [8, 5, 23, -14, 15]]

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


[User]
Find the rank of the matrix:
[[28, 40, 0, 6, -40],
 [-1, 17, 39, -25, -18],
 [-18, -33, -12, 0, 36],
 [27, 28, 11, -38, -2],
 [12, -4, -20, -12, 24]]

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


[User]
Find the rank of the matrix:
[[15, -8, 7, 19, -7],
 [-56, 48, -27, -17, 48],
 [-69, 60, -39, 5, 45],
 [50, -45, 21, 22, -54],
 [-24, 21, -15, 8, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[38, -44, 8, -59, -24],
 [-12, 23, 19, 12, 8],
 [-40, 33, 4, 21, 29],
 [35, -12, 16, -10, -28],
 [2, 22, 4, 15, -18]]

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


[User]
What is the rank of the matrix:
[[20, -6, -8, 36, -4],
 [16, -18, -6, 28, 2],
 [8, -28, 0, 18, 10],
 [12, -32, -2, 24, 10],
 [8, 22, -18, -14, -20]]?

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


[User]
What is the rank of the matrix:
[[42, -10, -2, 13, -23],
 [2, -28, 23, -18, 17],
 [43, 9, 17, 58, -55],
 [11, 55, -21, 9, -20],
 [50, 46, 15, 12, -33]]?

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


[User]
What is the rank of the matrix:
[[-13, 8, -6, 24, 6],
 [-37, -4, 3, 25, 2],
 [-13, -22, 3, -25, 4],
 [55, 22, 18, -10, -32],
 [21, 18, 8, 12, -16]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, 5, 6, -2, -5],
 [1, -6, 11, -23, -9],
 [-7, 16, 13, -21, 47],
 [-20, -12, -25, 25, 6],
 [17, 30, 19, -16, 39]]

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


[User]
Calculate the rank of matrix A where A =
[[28, -14, 18, 8, 8],
 [22, 26, 30, -36, -36],
 [0, -28, -12, 32, 32],
 [-36, -12, -36, 24, 24],
 [0, -14, -6, 16, 16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, 11, -46, -9, -5],
 [-16, -6, 23, 12, -3],
 [-26, 5, -37, -12, -23],
 [-26, -23, -35, -12, -35],
 [19, 9, -31, 31, 41]]

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


[User]
What is the rank of the matrix:
[[-15, -40, -25, 55, -20],
 [-12, -31, -25, 37, -2],
 [4, 8, 20, 4, -32],
 [-4, -9, -15, 3, 18],
 [11, 28, 25, -31, -4]]?

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


[User]
What is the rank of the matrix:
[[38, -6, 15, -8, 7],
 [68, -20, 39, -29, -29],
 [42, -35, 30, -30, -35],
 [-10, -10, -6, 1, 2],
 [-32, 12, 6, -10, 1]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -11, 24, 18, 6],
 [8, 16, -14, 21, 41],
 [-10, 34, -16, 2, 22],
 [43, -13, -23, -16, -32],
 [31, -19, -29, -17, -16]]

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


[User]
What is the rank of the matrix:
[[-14, -18, 34, -20, -6],
 [-43, -36, 6, -5, -37],
 [-5, 15, 25, -8, 75],
 [-69, -48, 7, -4, -31],
 [34, 23, 0, 0, 16]]?

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


[User]
Find the rank of the matrix:
[[-14, 35, -10, -18, 6],
 [-15, 24, 1, 3, 9],
 [23, 64, -19, 4, 72],
 [-24, -21, 10, -5, -39],
 [-4, -44, 16, 14, -30]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 11, -18, 7, -12],
 [9, 7, -3, 19, -24],
 [5, -22, 23, -30, 42],
 [-13, 17, -21, 21, -30],
 [17, -16, 23, 0, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[63, -38, 34, -32, 13],
 [-26, -34, -13, -11, 4],
 [30, -30, -14, -22, 24],
 [72, -62, 43, -49, 14],
 [25, 1, -7, -9, 10]]

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


[User]
What is the rank of the matrix:
[[11, 29, -6, -18, -35],
 [-32, -24, 24, 48, 36],
 [-16, -29, 36, 8, 15],
 [-11, 4, 6, 18, 2],
 [-9, -35, 18, 6, 29]]?

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


[User]
Calculate the rank of matrix A where A =
[[7, -30, -37, -2, 12],
 [-15, 10, 25, 10, -20],
 [-13, 15, 28, 8, -18],
 [1, 31, 30, -4, -2],
 [6, -23, -29, -2, 10]]

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


[User]
What is the rank of the matrix:
[[6, -18, 24, 0, 24],
 [6, -18, 24, 0, 24],
 [3, -9, 12, 0, 12],
 [1, -3, 4, 0, 4],
 [1, -3, 4, 0, 4]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 28, -30, -1, -3],
 [-16, -34, 36, 13, -9],
 [25, -7, -1, -6, -10],
 [5, 11, -5, -11, 23],
 [44, 10, -26, -12, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [-26, 7, -16, -19, 7],
 [6, -12, 6, -66, -12],
 [-5, 1, -3, -6, 1],
 [5, -1, 3, 6, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[36, 50, 12, -30, -22],
 [0, -20, -12, 12, 4],
 [-6, 25, 18, -15, -3],
 [12, -20, -18, 12, 0],
 [-12, 5, 9, -3, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, -17, 38, -9, 9],
 [-40, 18, -24, 10, -74],
 [-13, 1, 44, 14, 14],
 [17, 12, -18, 10, 14],
 [43, -15, 12, -10, 70]]

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


[User]
What is the rank of the matrix:
[[-50, -23, 51, -26, 44],
 [-11, -8, 15, 1, 8],
 [-8, -2, 6, -8, 8],
 [-18, -15, 27, 6, 12],
 [-12, -3, 9, -12, 12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, 4, 12, 4, 28],
 [4, -5, -56, -18, -5],
 [25, -8, -24, -9, 7],
 [-16, 12, 46, 13, -9],
 [-15, 3, 64, 20, -18]]

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


[User]
What is the rank of the matrix:
[[43, -33, -30, -21, 8],
 [-56, 21, 18, 17, -20],
 [13, 27, 27, -31, 22],
 [-5, -49, -46, -53, -23],
 [-6, -36, -33, -30, -21]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[21, 28, -3, 1, 39],
 [-32, 7, 11, -46, -24],
 [15, 23, -11, 30, 31],
 [-33, 33, 3, -42, -3],
 [-32, -19, -6, -27, -32]]

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


[User]
Determine the rank of the following matrix:
[[-12, 20, 8, 0, 0],
 [-12, -6, 30, 36, 24],
 [12, -20, -8, 0, 0],
 [-14, 19, 13, 6, 4],
 [11, -1, -22, -24, -16]]

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


[User]
What is the rank of the matrix:
[[20, -1, 19, 57, -28],
 [24, -18, 27, 72, -30],
 [-18, -11, -1, 36, -24],
 [6, 36, -9, -27, 6],
 [-30, -44, -4, 9, 0]]?

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


[User]
Determine the rank of the following matrix:
[[6, 19, 1, -18, -2],
 [21, 28, -2, -8, -7],
 [0, -7, -1, 10, 0],
 [6, 5, -1, 2, -2],
 [6, -16, -4, 32, -2]]

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