[User]
Determine the rank of the following matrix:
[[59, 8, 18, -23, 14],
 [62, 22, 31, -20, -2],
 [53, -30, 4, -14, 30],
 [-11, 56, 25, 26, 24],
 [0, -44, -34, -27, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 35, 9, -10, 16],
 [-30, -43, -1, 28, -36],
 [-6, -41, -11, 11, -18],
 [30, 19, -7, -24, 28],
 [-36, -54, -2, 34, -44]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -2, 0, -38, 48],
 [12, -2, 0, 25, -42],
 [-12, 0, 0, -21, 30],
 [-16, -3, 0, -22, 22],
 [-4, -3, 0, -1, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 14, 11, 22, 3],
 [-2, 15, 25, 18, 19],
 [-12, 37, -2, -10, 35],
 [46, -38, 2, 26, 9],
 [-48, 14, -17, -42, -27]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -35, 13, 22, 26],
 [4, 45, 11, 4, -8],
 [6, 39, 9, 3, -6],
 [-10, -64, -18, -9, 4],
 [36, 14, -30, -38, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[11, -11, 15, 20, -13],
 [-15, 25, -15, -30, 25],
 [-9, -29, -33, -6, -17],
 [-24, 18, -36, -42, 24],
 [-8, -16, -24, -8, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 2, -4, -3, -1],
 [12, 4, -8, -6, -2],
 [-12, -4, 8, 6, 2],
 [36, 12, -24, -18, -6],
 [-24, -8, 16, 12, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-30, 3, -2, 14, 2],
 [0, 13, 3, -11, -3],
 [-24, -23, -13, 37, 1],
 [-18, -12, 15, 5, 27],
 [-66, 12, -17, 37, -13]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-61, 55, 2, -21, -67],
 [58, -43, -25, 15, 28],
 [-4, 40, 27, -33, -27],
 [-18, 6, -31, -5, -11],
 [-27, 12, 45, 6, 5]]

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


[User]
Determine the rank of the following matrix:
[[-5, 10, 25, -20, 25],
 [1, -2, -5, 4, -5],
 [-4, 8, 20, -16, 20],
 [2, -4, -10, 8, -10],
 [-4, 8, 20, -16, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 45, -15, 19, -13],
 [-35, 25, -2, 46, -9],
 [8, 32, 0, 8, 6],
 [43, 29, -12, -32, 1],
 [2, -5, 27, 5, 32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -12, -15, -18, 0],
 [-16, -16, 52, 7, 2],
 [12, -3, -35, -31, -22],
 [-26, -2, -12, 19, 42],
 [-44, -36, -4, -21, 26]]

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


[User]
What is the rank of the matrix:
[[-15, 38, 10, 50, -17],
 [-9, 0, -14, -15, 57],
 [-12, -26, 29, 10, -10],
 [-15, 16, -15, 0, 61],
 [9, 34, -23, 5, -3]]?

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[User]
Calculate the rank of matrix A where A =
[[-25, 5, -5, -10, -10],
 [-10, 2, -2, -4, -4],
 [15, 30, -20, -20, 20],
 [16, 10, -6, -4, 12],
 [17, -10, 8, 12, 4]]

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


[User]
Find the rank of the matrix:
[[20, -7, 18, 2, -5],
 [21, -24, 10, 19, -11],
 [-5, 14, -22, -46, -4],
 [-8, -1, 22, 46, 13],
 [10, -20, -12, 1, -13]]

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


[User]
Determine the rank of the following matrix:
[[7, 3, -4, 12, -4],
 [-3, -11, 4, 12, -8],
 [-30, -25, 20, -30, 5],
 [22, 24, -16, 12, 2],
 [33, 19, -20, 48, -14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, -15, 18, 5, -20],
 [-8, 4, 10, -42, 26],
 [28, 1, 22, 34, -32],
 [-9, -29, 23, 18, -39],
 [-16, -38, 18, 30, -50]]

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


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

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[User]
Calculate the rank of matrix A where A =
[[-10, 0, 12, -12, -12],
 [-23, -13, 1, 21, 12],
 [19, 13, -14, -26, 21],
 [45, 10, -43, -45, 51],
 [-4, 55, 32, -12, -15]]

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


[User]
What is the rank of the matrix:
[[34, 50, 41, 14, -28],
 [-24, 16, 41, 38, 62],
 [-69, -55, -71, 3, -10],
 [-29, 29, -25, -15, 10],
 [23, -11, -47, -41, -72]]?

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[User]
Calculate the rank of matrix A where A =
[[16, 1, 23, 1, -6],
 [16, 2, 22, 2, 0],
 [8, -2, 14, -2, -18],
 [0, 3, -3, 3, 18],
 [-24, -9, -27, -9, -36]]

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


[User]
Determine the rank of the following matrix:
[[30, 18, 45, -24, -21],
 [-25, -42, -15, 29, 31],
 [-30, -66, -5, 40, 45],
 [30, 24, 40, -26, -24],
 [-20, 0, -40, 12, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -6, -9, 0, -6],
 [1, 2, 3, 0, 2],
 [4, 8, 12, 0, 8],
 [4, 8, 12, 0, 8],
 [-5, -10, -15, 0, -10]]

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


[User]
Find the rank of the matrix:
[[42, -32, -23, 4, -35],
 [-22, 39, 16, 36, 8],
 [30, 24, -28, 4, -32],
 [40, -9, -29, 18, -34],
 [-26, -12, 22, -12, 26]]

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


[User]
What is the rank of the matrix:
[[-5, 14, -4, -7, -7],
 [-2, 20, -4, 2, -22],
 [-4, 22, -5, -2, -20],
 [-13, 22, -8, -23, 1],
 [2, 10, -1, 8, -18]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -7, -5, -1, 0],
 [-18, -6, -24, -24, 6],
 [26, 46, -12, 33, -15],
 [26, 5, -7, 16, -13],
 [29, -14, -5, -12, -18]]

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


[User]
What is the rank of the matrix:
[[13, -39, 41, 25, 7],
 [12, -2, -4, -7, 13],
 [-38, 2, 18, 26, -42],
 [15, -35, 35, 20, 10],
 [-2, -30, 38, 28, -8]]?

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


[User]
Determine the rank of the following matrix:
[[13, -7, 19, 16, -6],
 [-21, 34, -8, 53, 17],
 [-11, 25, -23, 36, 24],
 [3, -4, 20, 7, -11],
 [1, -7, 0, -18, -5]]

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


[User]
Determine the rank of the following matrix:
[[-1, 12, 17, 21, -4],
 [21, -27, -7, 9, 9],
 [10, -21, -16, -12, 7],
 [-4, 3, -2, -6, -1],
 [-30, 36, 6, -18, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -12, -15, 15, 18],
 [-24, -6, 24, 36, 24],
 [14, 20, 46, -6, -20],
 [9, -6, -39, -21, -6],
 [-3, 2, 13, 7, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 34, 13, 0, -16],
 [35, -29, 6, -19, 4],
 [-5, 8, 29, -46, -35],
 [0, -58, -51, 15, 89],
 [5, 13, -12, 47, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-19, 55, -12, -33, -9],
 [-31, -11, -56, 25, -8],
 [-52, 66, 32, -2, -22],
 [-41, 39, -34, -14, -1],
 [-8, -21, 50, 40, -7]]

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


[User]
Determine the rank of the following matrix:
[[-7, 11, -5, 12, 2],
 [3, 1, 5, 0, -6],
 [-11, 23, -5, 24, -2],
 [-10, 20, -5, 21, -1],
 [15, -15, 15, -18, -12]]

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


[User]
Determine the rank of the following matrix:
[[-27, 54, -34, -25, -6],
 [21, -42, 30, 23, 2],
 [21, -42, 26, 19, 5],
 [-30, 60, -40, -30, -5],
 [36, -72, 48, 36, 6]]

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


[User]
What is the rank of the matrix:
[[8, 19, 21, 10, 18],
 [18, 28, -17, 17, 33],
 [-10, -25, 13, -20, 4],
 [-12, -32, 6, -18, -40],
 [14, 12, -33, 5, 41]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-23, 60, -25, -11, 72],
 [-16, 51, -34, -4, 42],
 [-5, 12, 55, -53, 12],
 [-4, 7, 47, -42, 12],
 [-14, 66, 10, -62, 12]]

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


[User]
Find the rank of the matrix:
[[-30, 0, 30, 30, 24],
 [-10, -5, 21, 13, 16],
 [-40, 10, 18, 34, 16],
 [5, 20, -49, -17, -36],
 [-20, 30, -46, 2, -32]]

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


[User]
Determine the rank of the following matrix:
[[0, 1, -1, -2, 3],
 [-9, -40, -5, -10, 6],
 [-9, -41, -4, -8, 3],
 [2, 5, 5, 10, -13],
 [7, 33, 2, 4, 1]]

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


[User]
What is the rank of the matrix:
[[3, -15, -12, 9, -18],
 [-6, 30, 24, -18, 36],
 [-5, 25, 20, -15, 30],
 [0, 0, 0, 0, 0],
 [4, -20, -16, 12, -24]]?

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


[User]
Determine the rank of the following matrix:
[[-21, 29, -19, -5, -13],
 [0, -10, -20, -20, 25],
 [-33, 43, -35, -13, -14],
 [6, -14, -6, -10, 18],
 [-6, 16, 10, 14, -23]]

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


[User]
What is the rank of the matrix:
[[-4, -17, -13, -33, -45],
 [24, -2, 26, 16, 10],
 [16, 4, 20, 20, 20],
 [-8, -6, -12, -17, -20],
 [4, 17, 13, 33, 45]]?

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


[User]
What is the rank of the matrix:
[[3, -15, -12, -9, 18],
 [-6, 30, 24, 18, -36],
 [5, -25, -20, -15, 30],
 [4, -20, -16, -12, 24],
 [-3, 15, 12, 9, -18]]?

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


[User]
Determine the rank of the following matrix:
[[24, -4, 12, -30, -10],
 [28, -2, 10, -39, -13],
 [12, -12, 21, 0, 0],
 [4, -6, 10, 3, 1],
 [-32, 8, -20, 36, 12]]

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


[User]
What is the rank of the matrix:
[[90, 54, 56, 23, -10],
 [-9, -23, 11, 20, 10],
 [-54, -30, -21, -21, 7],
 [39, 33, 13, -15, -10],
 [42, 22, 3, -11, -8]]?

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


[User]
Find the rank of the matrix:
[[17, 16, 9, -15, 19],
 [28, 25, 13, -24, 31],
 [-7, -12, -11, 9, -9],
 [24, 5, -11, -12, 23],
 [-9, 24, 39, -9, -3]]

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


[User]
What is the rank of the matrix:
[[-6, 14, -6, -32, -12],
 [28, 2, 6, 36, 28],
 [-40, -8, -2, -36, -42],
 [28, 10, 16, 40, 14],
 [-34, -4, -6, -40, -34]]?

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


[User]
Find the rank of the matrix:
[[-2, 16, -26, 22, 18],
 [-10, 20, 30, 10, -10],
 [-14, 34, 26, 24, -4],
 [0, 12, -32, 20, 20],
 [1, -5, 5, -6, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[44, 7, -43, -31, 8],
 [16, -36, 32, -2, 38],
 [13, -15, 8, -5, 17],
 [-14, 10, -24, 10, -66],
 [6, -42, 48, 6, 42]]

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


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

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


[User]
Find the rank of the matrix:
[[28, -20, -40, -1, 3],
 [-26, -6, -41, -10, -8],
 [10, -6, -86, 8, 28],
 [2, 6, 71, -2, -16],
 [2, 6, 71, -2, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 8, 8, 5, -21],
 [-20, -25, -18, -13, 49],
 [10, 11, 6, 5, -17],
 [15, 20, 16, 11, -43],
 [5, 2, -4, -1, 9]]

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


[User]
Find the rank of the matrix:
[[-20, 20, 25, -30, 15],
 [4, -4, -5, 6, -3],
 [-24, 24, 30, -36, 18],
 [4, -4, -5, 6, -3],
 [0, 0, 0, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 12, -16, 24, 20],
 [2, 6, -8, 12, 10],
 [-1, -3, 4, -6, -5],
 [4, 12, -16, 24, 20],
 [0, 0, 0, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, 21, 7, 38, 40],
 [29, -30, -12, -21, -34],
 [-34, -4, 8, 26, 52],
 [-36, 36, 12, 42, 48],
 [12, 6, -2, -10, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 14, -28, 20, 2],
 [0, 6, -10, -16, 22],
 [18, -30, -12, 6, 6],
 [-45, 46, -19, 38, -24],
 [-18, 12, -14, 28, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, -3, 33, -30, -18],
 [-8, 2, -26, 24, 12],
 [-6, 3, -21, 18, 18],
 [4, -3, 15, -12, -18],
 [6, -3, 21, -18, -18]]

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


[User]
What is the rank of the matrix:
[[11, -1, 1, -12, -9],
 [19, 6, 20, -4, -2],
 [-21, -7, -25, -7, -4],
 [-18, -11, -23, 37, 16],
 [-3, 0, -6, -24, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[3, -12, -33, -21, 19],
 [20, -31, 21, 34, 16],
 [-22, 52, 9, -11, -29],
 [21, -40, 14, 27, 18],
 [-28, 13, 4, 22, -13]]

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


[User]
Find the rank of the matrix:
[[-38, -4, -28, -2, -17],
 [36, -2, 26, -1, 14],
 [14, 20, 12, 10, 13],
 [-24, 60, -12, 30, 12],
 [34, -8, 24, -4, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 22, -8, -36, 0],
 [31, 39, 20, -18, -38],
 [12, 18, -6, -3, -6],
 [26, -18, -16, 52, 14],
 [-33, 13, 10, -51, -6]]

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


[User]
Determine the rank of the following matrix:
[[-20, -10, -52, -15, 19],
 [-12, 1, -28, -19, 17],
 [12, 6, 36, 15, -17],
 [-16, 28, 4, -27, 10],
 [16, -15, 16, 26, -16]]

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


[User]
Determine the rank of the following matrix:
[[-16, -15, 2, -4, 24],
 [-26, -20, 4, -6, 36],
 [18, -40, -12, -2, 12],
 [18, -5, -6, 2, -12],
 [-36, 10, 12, -4, 24]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 10, 30, 15, -10],
 [0, -10, -30, -15, 10],
 [0, 2, 6, 3, -2],
 [0, -8, -24, -12, 8],
 [0, -8, -24, -12, 8]]

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


[User]
What is the rank of the matrix:
[[-5, -20, -10, -20, 10],
 [-14, -8, -28, 16, -20],
 [6, -8, 12, -24, 20],
 [11, 20, 22, 8, 2],
 [0, 8, 0, 12, -8]]?

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


[User]
Find the rank of the matrix:
[[15, 20, 10, 30, 25],
 [-9, -12, -6, -18, -15],
 [6, 8, 4, 12, 10],
 [-3, -4, -2, -6, -5],
 [-18, -24, -12, -36, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -26, 2, 18, 18],
 [-19, 52, -18, -62, 9],
 [-26, 43, 11, -39, 9],
 [17, -36, -9, 32, -10],
 [27, -2, 23, 18, 22]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, 7, 15, -23, 24],
 [13, -11, -29, 41, -44],
 [4, 2, -12, 8, -12],
 [6, -18, -6, 30, -24],
 [-7, 0, 19, -17, 22]]

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


[User]
Find the rank of the matrix:
[[-18, 6, -12, 18, 30],
 [-7, 11, -6, 11, 15],
 [-13, 26, -12, 23, 30],
 [5, -19, 6, -13, -15],
 [5, -45, 10, -25, -25]]

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


[User]
Find the rank of the matrix:
[[-42, 47, 4, 34, -11],
 [16, -35, 9, -37, 16],
 [-5, -10, -7, 5, -12],
 [-20, 5, -14, 12, 25],
 [-26, 20, -2, 22, -14]]

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


[User]
What is the rank of the matrix:
[[-13, 7, 5, 3, -8],
 [-7, 1, 7, -3, 0],
 [12, -3, -10, 3, 2],
 [-3, 12, -15, 18, -18],
 [13, -16, 9, -18, 22]]?

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


[User]
Determine the rank of the following matrix:
[[3, -15, -6, -6, -6],
 [-1, 5, 2, 2, 2],
 [3, -15, -6, -6, -6],
 [-10, 26, 32, 26, 32],
 [0, -8, 4, 2, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 0, 20, 44, 4],
 [4, 0, -8, 7, -13],
 [2, 0, -10, -22, -2],
 [-10, 0, 34, 42, 22],
 [-7, 0, 19, 9, 19]]

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


[User]
What is the rank of the matrix:
[[0, -36, -30, -6, 18],
 [0, 0, 0, 0, 0],
 [0, -36, -30, -6, 18],
 [0, 6, 5, 1, -3],
 [0, 6, 5, 1, -3]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -28, 35, -14, 39],
 [-15, 30, -25, 10, -30],
 [-2, -8, 25, 2, 33],
 [-13, 6, -25, 30, -12],
 [-9, 20, -10, 2, -15]]

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


[User]
What is the rank of the matrix:
[[24, -2, 19, -21, -3],
 [-35, 5, -25, 30, 5],
 [15, 5, 20, -15, 0],
 [-18, 14, 2, 12, 6],
 [-9, 7, 1, 6, 3]]?

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


[User]
Find the rank of the matrix:
[[-6, 12, -54, -12, -12],
 [41, 10, 30, 25, 35],
 [-6, -18, 54, 34, 20],
 [-25, -10, 0, -55, -45],
 [40, 6, 48, -26, 4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-30, -24, -28, 58, -8],
 [9, -14, 9, 6, 19],
 [-50, -48, -22, 76, 14],
 [10, -12, -16, 34, -4],
 [22, 24, 24, -54, 4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-49, -14, 17, 4, 3],
 [25, 31, 13, -7, 13],
 [1, 20, 13, 2, 24],
 [-19, 3, -33, 13, 70],
 [24, 35, 36, -25, -24]]

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


[User]
What is the rank of the matrix:
[[-1, 6, 15, -6, 10],
 [-2, 12, -24, -12, -4],
 [12, -72, -18, 72, -48],
 [-9, 54, 9, -54, 34],
 [0, 0, -27, 0, -12]]?

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


[User]
Find the rank of the matrix:
[[14, 12, 0, 18, 10],
 [16, 0, 12, 0, -4],
 [-28, -24, 0, -36, -20],
 [34, 36, -6, 54, 32],
 [-18, -28, 11, -42, -27]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 2, -8, 5, 3],
 [36, -10, -15, -14, -48],
 [30, 2, -28, 9, -9],
 [-36, -2, 33, -10, 12],
 [-30, -6, 34, -17, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 8, 0, 6, -6],
 [30, 20, 0, 15, -15],
 [-12, -8, 0, -6, 6],
 [-12, -8, 0, -6, 6],
 [-36, -24, 0, -18, 18]]

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


[User]
Determine the rank of the following matrix:
[[5, 10, 5, 0, 5],
 [-1, -2, -1, 0, -1],
 [0, 0, 0, 0, 0],
 [5, 10, 5, 0, 5],
 [-6, -12, -6, 0, -6]]

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


[User]
Find the rank of the matrix:
[[-23, 11, -7, -12, 42],
 [6, -15, 12, 0, -18],
 [27, -21, 15, 12, -54],
 [18, 48, -42, 24, 0],
 [25, -16, 11, 12, -48]]

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


[User]
Find the rank of the matrix:
[[-26, -57, 5, 47, -106],
 [8, 13, -15, -11, 52],
 [-9, 9, 2, -3, 27],
 [-22, 22, 26, -4, 1],
 [-18, 45, 37, -20, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 5, 8, 21, 1],
 [8, -6, 12, 5, 62],
 [5, -19, 26, 4, 27],
 [-58, 42, 39, -10, 10],
 [-34, 52, -2, -12, 72]]

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


[User]
Find the rank of the matrix:
[[-10, 20, -5, 6, 23],
 [8, -5, 4, 15, 8],
 [-30, 25, -15, -45, -15],
 [18, -15, 9, 27, 9],
 [0, -15, 0, -27, -36]]

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


[User]
Determine the rank of the following matrix:
[[1, 5, 1, -6, -4],
 [-1, -5, -1, 6, 4],
 [6, 30, 6, -36, -24],
 [-4, -20, -4, 24, 16],
 [0, 0, 0, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -14, 32, 18, 36],
 [-8, -4, 32, 12, 24],
 [-4, 22, -16, -18, -36],
 [15, -24, -18, 9, 18],
 [8, -2, -24, -6, -12]]

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


[User]
Find the rank of the matrix:
[[-24, 25, 10, -18, 46],
 [6, -12, 38, 6, 6],
 [25, -24, 36, -24, -4],
 [6, -3, -2, -18, 4],
 [-4, 28, -4, -36, -28]]

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


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

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


[User]
Find the rank of the matrix:
[[18, 15, 6, -3, -24],
 [-11, -45, -3, -1, -3],
 [0, -7, 11, -4, 22],
 [-11, -25, -11, 3, -11],
 [-8, 5, -21, 8, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[33, 0, -37, 38, 3],
 [-43, 3, 13, -46, 11],
 [14, -42, 15, 10, -19],
 [15, -36, -15, 24, -12],
 [-25, 7, 18, -32, 6]]

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


[User]
Determine the rank of the following matrix:
[[13, -19, -46, 35, -46],
 [7, 12, -27, -4, -23],
 [38, 0, 10, 20, 38],
 [15, -15, 0, 55, 0],
 [22, -18, -2, -5, 19]]

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


[User]
What is the rank of the matrix:
[[-5, 2, -23, 42, -29],
 [-4, -38, 10, 15, -4],
 [11, -6, -54, 60, -12],
 [-7, -38, 12, 18, -10],
 [-8, 6, -6, 21, -24]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -14, -18, 8, -48],
 [-18, 4, -6, 4, 23],
 [-7, -36, 35, 31, -51],
 [45, 26, 23, -31, 27],
 [-39, -21, 32, 35, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -2, 10, -1, -9],
 [-13, -36, -18, -30, -26],
 [0, 6, -10, 5, 13],
 [8, 12, -10, 8, 20],
 [-15, 10, 20, 15, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, 21, -17, 2, -21],
 [30, -35, 15, 4, 21],
 [15, -16, 12, -1, 15],
 [-15, 13, -21, 7, -24],
 [-15, 19, -3, -5, -6]]

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


[User]
Determine the rank of the following matrix:
[[17, 24, 18, -40, 2],
 [6, -20, -48, 26, 24],
 [34, 26, -6, -49, 22],
 [-9, -14, -12, 23, 0],
 [-14, -12, 0, 22, -8]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[12, 0, 8, 2, 12],
 [18, 0, 12, 3, 18],
 [30, 0, 20, 5, 30],
 [-30, 0, -20, -5, -30],
 [-12, 0, -8, -2, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 58, 1, 32, 23],
 [4, 46, 36, 2, 16],
 [-48, 13, 15, -21, 15],
 [-17, -71, -45, -13, -17],
 [-40, -24, -6, -2, 34]]

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


[User]
Find the rank of the matrix:
[[-6, -5, 2, 14, 13],
 [-9, -26, 34, 1, 11],
 [12, 3, -2, 4, 5],
 [-27, 47, -8, -59, -52],
 [24, -31, -2, 22, 14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, -8, 8, -20, 18],
 [8, 56, 24, 14, 42],
 [1, -2, 8, 25, -8],
 [15, 0, 30, 26, 46],
 [18, 0, 4, 16, 18]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -25, 13, -1, 34],
 [10, -35, 27, -21, 10],
 [-8, -29, 17, 23, 30],
 [4, 3, 5, -17, -32],
 [-3, -2, 6, 1, -19]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -22, -43, -30, -7],
 [14, -7, -3, 27, 8],
 [-17, 9, 26, 6, 25],
 [43, -9, -4, 24, -59],
 [-71, 35, -12, -81, 47]]

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


[User]
Find the rank of the matrix:
[[10, -24, 0, 16, -12],
 [24, -4, -8, -14, 4],
 [4, -14, -8, 16, -16],
 [-46, 38, 16, -6, 16],
 [9, -42, -16, 46, -42]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-40, -41, -8, -36, 20],
 [-14, -10, 0, -18, -1],
 [36, 39, 13, -1, -32],
 [9, 0, -1, 60, -18],
 [-81, -45, -3, -36, -6]]

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


[User]
Determine the rank of the following matrix:
[[8, 20, 41, -7, 19],
 [-12, 20, -26, -50, -32],
 [-16, -38, 12, -22, 1],
 [-31, 33, 24, -10, 13],
 [-1, -39, -12, -8, -9]]

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


[User]
What is the rank of the matrix:
[[-3, -29, 5, -44, 8],
 [-2, -12, 4, -18, 4],
 [6, -32, -3, -45, 8],
 [5, -3, -13, -6, -4],
 [30, -23, 43, 5, 38]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 7, 2, -3, -16],
 [-2, -18, 0, 6, 44],
 [-16, -22, -4, 8, 30],
 [-4, -33, 12, 6, 55],
 [-1, -5, 16, -5, -22]]

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


[User]
Determine the rank of the following matrix:
[[10, 5, 6, -1, 6],
 [7, 15, -1, 4, -7],
 [-2, -2, 18, -8, -18],
 [-8, -7, 22, -11, -26],
 [-4, 20, -9, 8, -27]]

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


[User]
Calculate the rank of matrix A where A =
[[33, 31, 21, 13, 26],
 [-8, -53, 50, 11, -21],
 [17, 16, 17, -12, -13],
 [20, 15, 6, 23, 43],
 [-23, -29, -3, -18, -35]]

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


[User]
Find the rank of the matrix:
[[51, -12, -9, 12, 9],
 [15, -21, 20, 32, -20],
 [-38, 1, 17, 4, -17],
 [12, 21, -33, -36, 33],
 [7, 19, -28, -32, 28]]

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


[User]
Determine the rank of the following matrix:
[[20, -11, -6, -20, -6],
 [6, -15, -18, 12, 18],
 [9, -3, 0, -12, -6],
 [-14, 22, 24, -8, -20],
 [27, -35, -36, 4, 26]]

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


[User]
What is the rank of the matrix:
[[-46, -40, 32, 42, 10],
 [16, 12, 17, -21, 30],
 [25, 24, -3, -51, 86],
 [-4, -4, -19, 24, -71],
 [18, 16, -10, -21, 11]]?

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


[User]
Calculate the rank of matrix A where A =
[[22, -10, 0, -22, 15],
 [39, 27, 0, 18, -9],
 [-14, -38, 0, -32, 6],
 [-4, -20, 0, -16, 0],
 [2, 34, 0, 30, -3]]

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


[User]
Find the rank of the matrix:
[[28, 28, -10, 23, -24],
 [-24, 12, 42, -21, 36],
 [30, 48, 6, 24, -18],
 [28, 28, -10, 23, -24],
 [-16, -20, 2, -13, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -30, -18, 0, -18],
 [-9, -15, -9, 0, -9],
 [0, 0, 0, 0, 0],
 [12, 20, 12, 0, 12],
 [-15, -25, -15, 0, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, 6, 33, -27, -31],
 [-2, 31, -22, 21, 35],
 [-2, -17, -52, 27, -3],
 [6, -21, -41, 23, -10],
 [5, 23, -17, 27, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[23, -27, -25, 25, 6],
 [26, 6, -10, 18, 0],
 [19, -31, -25, 21, 9],
 [36, -24, -30, 34, 6],
 [29, 29, 0, 18, -9]]

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


[User]
What is the rank of the matrix:
[[4, -24, 0, -4, 24],
 [0, 0, 0, 0, 0],
 [-6, 36, 0, 6, -36],
 [-1, 6, 0, 1, -6],
 [-4, 24, 0, 4, -24]]?

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


[User]
Find the rank of the matrix:
[[-20, 10, 11, 53, -63],
 [7, -10, 27, -10, 3],
 [-7, -18, 2, 13, -34],
 [6, 6, 30, 0, 20],
 [-18, -18, 9, 45, -57]]

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


[User]
Find the rank of the matrix:
[[-9, 7, 29, -10, 40],
 [-5, 8, -19, 6, -3],
 [33, 36, -23, -8, 27],
 [39, 4, -4, -36, -75],
 [22, -5, 5, -26, -59]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-43, -73, -20, 35, 16],
 [-1, 11, 16, 7, 8],
 [-16, -10, -20, 62, -20],
 [-9, -30, 6, -34, 25],
 [-17, -26, -34, 50, -23]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 57, -3, 21, -37],
 [18, -47, 31, -10, 48],
 [-2, -22, 7, 18, 9],
 [-16, -33, -8, 19, 12],
 [6, 17, 17, 46, -18]]

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


[User]
Find the rank of the matrix:
[[-2, 32, 9, -27, -2],
 [13, 8, -16, -7, -24],
 [-23, 6, 7, 1, 13],
 [-46, 6, 40, 1, 55],
 [27, -14, 7, 1, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[14, 15, -5, 6, -17],
 [14, 15, -5, 6, -17],
 [6, 3, 1, -2, -5],
 [-10, -9, 2, -2, 11],
 [-34, 3, -24, 38, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -15, 15, 9, 6],
 [5, -22, 19, 21, 1],
 [9, -6, 7, 1, 5],
 [-35, 28, -31, -9, -19],
 [-12, 15, -15, -9, -6]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, 30, 54, 20, 65],
 [-6, 40, 50, 35, 23],
 [8, -10, 8, 52, 32],
 [-53, 28, 11, 55, -56],
 [-11, 53, 44, 41, 6]]

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


[User]
What is the rank of the matrix:
[[45, -8, -20, -24, -36],
 [41, -6, -16, 0, -22],
 [-4, 13, 19, 29, 11],
 [25, 4, 0, -28, -32],
 [23, -7, -13, 41, 11]]?

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


[User]
Find the rank of the matrix:
[[31, 6, 3, 31, 29],
 [-67, 19, -11, -4, -11],
 [-10, 8, 6, -27, -10],
 [-14, -9, -13, 49, 1],
 [31, 14, 17, 1, 11]]

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


[User]
Determine the rank of the following matrix:
[[-19, 21, 2, 14, -18],
 [36, -54, 42, -36, 72],
 [24, -36, 28, -24, 48],
 [17, -15, -14, -10, 6],
 [16, -21, 9, -14, 24]]

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


[User]
Find the rank of the matrix:
[[-2, 5, -20, 34, -24],
 [24, 0, 0, 12, -12],
 [-22, -2, 8, -25, 21],
 [50, -5, 20, -10, 0],
 [-14, -1, 4, -14, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[15, -3, -6, -15, 6],
 [-25, 5, 10, 25, -10],
 [0, 0, 0, 0, 0],
 [30, -6, -12, -30, 12],
 [15, -3, -6, -15, 6]]

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


[User]
Determine the rank of the following matrix:
[[-25, -24, -4, -28, -24],
 [-1, -32, -20, -30, -26],
 [-11, -4, 28, 12, 4],
 [-8, -22, 4, -12, -14],
 [-33, 19, 10, -2, 3]]

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


[User]
Determine the rank of the following matrix:
[[33, 39, -10, -7, -3],
 [-31, -22, -26, -28, -6],
 [-56, -64, 2, 2, -2],
 [-4, 14, 23, -27, 27],
 [4, 11, -14, 31, 3]]

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


[User]
What is the rank of the matrix:
[[-23, 9, -23, -23, 8],
 [26, 14, 38, -22, 16],
 [36, 24, 12, 6, -6],
 [6, -27, 5, 43, -19],
 [-35, -36, -28, 30, -15]]?

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


[User]
What is the rank of the matrix:
[[-18, 4, -15, -52, 51],
 [20, -12, 10, 40, -54],
 [20, -4, 14, 40, -42],
 [16, 2, 6, -16, 12],
 [-8, -8, -13, -32, 15]]?

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


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

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


[User]
What is the rank of the matrix:
[[28, 34, -50, -27, 29],
 [31, 31, -46, -53, 36],
 [-27, 0, 22, 7, -20],
 [-23, 14, 18, -36, -11],
 [18, 19, -13, -14, 4]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 50, -21, -15, -18],
 [-30, 57, 13, -36, 12],
 [-20, 35, 2, -25, 18],
 [4, 64, 8, -24, -42],
 [-28, 96, 29, -59, -6]]

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


[User]
Find the rank of the matrix:
[[-50, -52, 38, -54, -39],
 [-18, 25, 2, 27, -12],
 [-24, 22, -52, -9, 51],
 [-50, 13, -42, -21, 38],
 [12, 40, -48, 24, 48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, -14, -25, 4, -6],
 [-25, -20, -33, 6, 7],
 [17, 8, 2, 5, -4],
 [-14, 14, -19, -29, 10],
 [39, 24, 10, -5, 10]]

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[User]
Calculate the rank of matrix A where A =
[[-9, -10, 40, -4, 14],
 [35, 15, 10, 50, 15],
 [22, 4, -32, 32, 4],
 [-10, -1, 6, -16, -5],
 [-9, -2, 32, -11, 4]]

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


[User]
Find the rank of the matrix:
[[-8, 18, -18, 30, -21],
 [-20, 30, 16, -38, 12],
 [-60, 8, 28, -24, 19],
 [-4, -6, 54, 27, 22],
 [10, 27, -20, 4, -17]]

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[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [-4, 3, 6, -4, -1],
 [24, -18, -36, 24, 6],
 [-24, 18, 36, -24, -6],
 [12, -9, -18, 12, 3]]

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


[User]
Determine the rank of the following matrix:
[[21, 8, -19, -14, -4],
 [23, 4, -7, -12, -2],
 [-8, -4, 10, 6, 2],
 [28, -6, 23, -7, 3],
 [3, 4, -11, -4, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, -34, -30, 0, 22],
 [5, -55, -45, 10, 30],
 [-18, 34, 26, -18, -11],
 [-17, 24, 25, 20, -28],
 [33, 11, 7, -6, -4]]

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[User]
Calculate the rank of matrix A where A =
[[20, -1, 3, 19, 8],
 [20, -13, -11, -3, 4],
 [31, -2, 33, 63, 48],
 [8, -28, -10, -18, 20],
 [28, -2, 14, 38, 24]]

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


[User]
Determine the rank of the following matrix:
[[-17, 20, -43, -2, 11],
 [66, -39, -3, -78, 24],
 [16, -31, 25, -12, 3],
 [-29, 26, 10, 36, -18],
 [8, -12, 3, -20, 6]]

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[User]
Calculate the rank of matrix A where A =
[[-28, -16, -41, -23, 25],
 [14, 17, 16, 10, 1],
 [24, 24, 30, 18, -6],
 [-22, -13, -32, -18, 19],
 [-8, -14, -7, -5, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 17, -12, 2, 9],
 [-6, 0, 4, 4, 28],
 [53, -51, 16, 14, -47],
 [20, -11, -7, 21, 2],
 [-5, 5, 0, -10, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 30, 16, -7, 11],
 [-15, 27, 15, -15, 12],
 [16, -28, -16, 22, -14],
 [0, 4, 0, 30, -6],
 [-7, 13, 7, -4, 5]]

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[User]
What is the rank of the matrix:
[[-2, 16, 15, -6, -15],
 [-18, 24, 0, -24, 0],
 [25, -44, -12, 36, 12],
 [-16, 32, 12, -24, -12],
 [12, -24, -9, 18, 9]]?

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[User]
Find the rank of the matrix:
[[-28, 46, -8, 67, -8],
 [-46, -14, 12, 23, -20],
 [-26, -40, 0, -18, -14],
 [-33, 27, 24, 47, -4],
 [42, -41, 16, -71, 11]]

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


[User]
Determine the rank of the following matrix:
[[30, -12, -18, -30, 12],
 [-21, 7, 10, 25, -15],
 [-6, 8, 14, -10, 24],
 [25, -17, -28, -5, -23],
 [3, -4, -7, 5, -12]]

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[User]
Calculate the rank of matrix A where A =
[[-11, -49, -11, 30, -31],
 [5, 23, -3, -14, 9],
 [5, 39, 1, -22, 17],
 [9, 31, 19, -20, 29],
 [4, 8, -14, -6, -4]]

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[User]
Calculate the rank of matrix A where A =
[[54, 18, -6, -29, -35],
 [-18, -33, 23, -11, -1],
 [60, 5, 5, 4, -34],
 [-12, -10, 6, 2, 5],
 [-18, 21, -19, 1, 17]]

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[User]
What is the rank of the matrix:
[[-6, 3, 8, 5, 3],
 [3, -33, -49, 59, 21],
 [0, -40, -28, 2, -54],
 [24, 12, -8, -40, 0],
 [0, 27, 18, 1, 39]]?

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[User]
Find the rank of the matrix:
[[26, -28, -11, 19, 10],
 [-32, -28, 17, 19, -28],
 [12, 16, -37, -13, 18],
 [-13, 24, 4, -16, -3],
 [14, 2, 57, -15, 33]]

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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -21, 27, 15, -18],
 [-18, 26, -42, -34, 12],
 [-56, -12, -6, -30, -36],
 [32, -4, 18, 26, 12],
 [-51, -15, 0, -24, -36]]

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

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[User]
Calculate the rank of matrix A where A =
[[-20, 2, -2, -9, 9],
 [-4, 14, -6, -5, -23],
 [12, -32, 14, 13, 50],
 [4, 6, -6, -11, 11],
 [-8, 20, -12, -18, -10]]

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[User]
Calculate the rank of matrix A where A =
[[-28, 18, 26, 20, -30],
 [-18, -3, -3, -6, -15],
 [10, 13, 17, 18, 5],
 [15, -6, -9, -6, 15],
 [5, 15, 20, 20, 0]]

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


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

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[User]
What is the rank of the matrix:
[[10, 10, -13, 42, -23],
 [8, -2, 8, 11, -6],
 [-1, -15, 23, -8, 4],
 [3, -1, 5, -7, 4],
 [-11, -11, 15, -51, 28]]?

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


[User]
What is the rank of the matrix:
[[-18, -26, 53, 8, -21],
 [11, 6, 5, -12, 4],
 [-20, -16, -4, 40, -28],
 [17, 6, -9, 24, -30],
 [18, 22, -54, 14, -1]]?

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


[User]
What is the rank of the matrix:
[[-14, 66, 12, 4, -38],
 [12, -16, 2, -17, -18],
 [-2, 34, 6, -43, -21],
 [-1, 26, -10, 27, -28],
 [-6, -9, 8, 29, 14]]?

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


[User]
Calculate the rank of matrix A where A =
[[-2, -12, 22, -35, 14],
 [8, 28, -8, 40, -16],
 [10, 31, 6, 30, -12],
 [-10, -33, 2, -40, 16],
 [12, 30, 36, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[-72, -52, 38, 6, 8],
 [3, 10, 5, -3, 2],
 [-6, -18, 3, 5, 10],
 [69, 42, -43, -3, -10],
 [51, 28, -40, -1, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 30, -11, 10, -29],
 [-34, -4, 10, -60, 6],
 [46, -30, 13, 56, 15],
 [3, 0, -24, 0, 24],
 [-34, 20, 1, -41, -19]]

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


[User]
What is the rank of the matrix:
[[12, -6, 0, 14, 11],
 [4, 11, 13, 9, 21],
 [-12, 18, 12, -10, 5],
 [-16, 16, 8, -16, -4],
 [4, 5, 7, 7, 13]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, -11, 7, -11, 32],
 [10, -10, 0, -16, 24],
 [10, 45, 25, -15, -10],
 [20, 20, 28, -19, 29],
 [0, 30, 18, 6, -16]]

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[User]
Calculate the rank of matrix A where A =
[[-6, 3, 21, -12, -30],
 [17, 14, -10, 16, 16],
 [42, 21, 3, 24, 2],
 [39, 15, -3, 24, 10],
 [53, 20, -16, 38, 30]]

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[User]
Calculate the rank of matrix A where A =
[[36, 41, 46, 0, 7],
 [-10, -32, -10, 17, 9],
 [6, -41, 31, 4, 13],
 [20, 4, 40, 12, 8],
 [-14, 37, 16, -15, -44]]

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


[User]
What is the rank of the matrix:
[[8, -50, -36, -14, 23],
 [-5, 23, 18, 8, -11],
 [9, 29, 6, -8, -9],
 [16, 10, -12, -18, 1],
 [-13, 7, 18, 16, -7]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-14, -34, 9, -8, -1],
 [52, -29, -55, -17, 43],
 [-6, 30, -15, 3, 15],
 [-38, 40, 36, 8, -26],
 [30, -30, -51, 3, 39]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 3, 0, 3, 2],
 [-8, -12, 0, -12, -8],
 [6, 9, 0, 9, 6],
 [-7, -4, -1, -10, 0],
 [8, 25, -2, 13, 22]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -5, 0, 5, -6],
 [-44, -9, -2, 37, -62],
 [-22, 27, 47, 11, 2],
 [66, 15, -28, -39, 54],
 [12, -15, -34, 7, -20]]

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


[User]
What is the rank of the matrix:
[[23, 12, -2, 10, -2],
 [42, -8, 20, 28, 20],
 [-10, 6, -8, -8, -8],
 [-39, -11, -4, -20, -4],
 [-19, -23, 12, -4, 12]]?

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


[User]
Find the rank of the matrix:
[[-18, -10, 8, -22, 7],
 [10, 4, -2, 12, -1],
 [2, -9, 15, 1, 18],
 [8, -8, 16, 8, 20],
 [-10, -25, 35, -15, 40]]

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


[User]
What is the rank of the matrix:
[[16, 0, 34, -22, 11],
 [39, -30, 72, 20, -15],
 [17, -30, 24, 32, -15],
 [29, -12, 33, -41, 49],
 [-1, 18, 10, -2, -12]]?

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


[User]
Determine the rank of the following matrix:
[[-18, -30, -6, -30, -24],
 [14, 26, -6, 32, 16],
 [-10, -14, -14, -8, -16],
 [-4, -4, -12, 2, -8],
 [-12, -20, -4, -20, -16]]

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


[User]
Find the rank of the matrix:
[[-19, 2, -1, -21, -3],
 [27, 2, 5, 11, 7],
 [8, 12, 16, -46, 0],
 [7, -8, 0, 32, -10],
 [-22, 8, 0, -44, 4]]

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


[User]
Find the rank of the matrix:
[[14, -8, 14, -48, 39],
 [5, -19, -11, -53, 1],
 [-22, 26, 6, 84, -4],
 [19, 24, 39, 8, 23],
 [28, 2, 16, -4, 2]]

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


[User]
Find the rank of the matrix:
[[-38, 9, 6, 17, 5],
 [-16, -35, -30, 9, -7],
 [26, 4, 15, -7, 4],
 [-57, -61, -47, 28, -1],
 [-7, -22, -15, -3, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -6, -8, 2, -8],
 [7, 11, 9, 0, 7],
 [26, -15, 14, -17, 26],
 [-36, -4, -28, 16, -36],
 [-28, 2, -20, 14, -28]]

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


[User]
Determine the rank of the following matrix:
[[20, 6, 30, 40, -58],
 [4, -1, -15, 8, -11],
 [-13, -15, -18, -34, 39],
 [-7, -26, -27, -21, 29],
 [10, -24, -6, -33, -48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -6, -12, -28, -8],
 [3, -18, -9, -39, -18],
 [-13, 6, -20, -52, -8],
 [9, -36, -9, -39, -26],
 [15, -45, 1, 7, -18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, -24, -2, -8, -18],
 [-44, 42, -7, -13, 18],
 [22, -9, -20, -33, 27],
 [-28, -42, 7, 1, -54],
 [-26, 57, 3, 10, 27]]

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


[User]
What is the rank of the matrix:
[[5, 6, 3, 4, 3],
 [0, 0, 0, 0, 0],
 [20, 24, 12, 16, 12],
 [-30, -36, -18, -24, -18],
 [-15, -18, -9, -12, -9]]?

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


[User]
Determine the rank of the following matrix:
[[-32, -36, 4, -20, -24],
 [0, -3, -13, 1, -18],
 [-40, -42, 18, -26, -12],
 [10, 9, -11, 7, -6],
 [-10, -15, -15, -5, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 0, 3, 4, -5],
 [2, -2, 0, 6, -10],
 [-8, -7, -15, 1, -10],
 [-11, -13, -24, 7, -25],
 [3, 6, 9, -6, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[23, -7, 0, 1, 3],
 [-3, 3, 0, 3, 9],
 [13, -11, 0, -10, -30],
 [10, -8, 0, -7, -21],
 [9, 3, 0, 9, 27]]

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


[User]
Find the rank of the matrix:
[[15, -15, 6, -36, 24],
 [-22, 7, -1, 12, -25],
 [4, 4, -4, 28, 8],
 [-12, -22, 10, -32, 18],
 [-4, -15, 9, -50, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -18, 9, 27, -36],
 [-24, -27, -18, 9, 18],
 [-24, -31, -37, 19, 28],
 [26, 25, 33, -7, -36],
 [-21, -21, -49, 12, 46]]

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


[User]
Find the rank of the matrix:
[[27, 19, 55, 47, -13],
 [-11, -26, -54, -58, -13],
 [-1, -5, -22, 14, 14],
 [-10, 17, 43, 64, 26],
 [10, -20, -24, -10, -22]]

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


[User]
What is the rank of the matrix:
[[-1, -30, 11, -20, 6],
 [55, -2, 20, -25, -14],
 [-27, -15, -9, 15, 16],
 [-5, 13, 4, 20, -15],
 [26, 11, 1, -2, -4]]?

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


[User]
Find the rank of the matrix:
[[14, 5, 2, 12, 18],
 [8, 0, -6, -6, 6],
 [14, 13, 22, 48, 30],
 [-6, -9, -18, -36, -18],
 [-6, -9, -18, -36, -18]]

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


[User]
Determine the rank of the following matrix:
[[-5, -18, 12, -4, 29],
 [10, 13, -24, -17, -8],
 [-46, -1, 33, -34, 29],
 [-29, 24, 0, -42, -3],
 [-38, 56, -6, -42, -48]]

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


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

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


[User]
What is the rank of the matrix:
[[-18, -15, -21, -23, 21],
 [-8, 5, -70, -46, 0],
 [0, -5, 11, 5, 1],
 [-18, -20, -10, -18, 22],
 [-11, -40, 35, 3, 15]]?

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


[User]
Find the rank of the matrix:
[[14, 35, 12, 8, 6],
 [7, 1, -47, 3, 28],
 [-15, -25, -36, 9, 24],
 [-51, -38, -30, 35, 10],
 [-51, -38, -30, 35, 10]]

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


[User]
What is the rank of the matrix:
[[-8, 12, -12, 0, -12],
 [-2, -45, 9, -6, 9],
 [-10, -1, -11, -2, -11],
 [12, 6, 12, 3, 12],
 [-16, 0, -18, -3, -18]]?

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


[User]
Determine the rank of the following matrix:
[[16, 16, 20, -28, -8],
 [-24, 16, 10, 2, 42],
 [-12, -24, -27, 33, -3],
 [-4, -20, -21, 23, -10],
 [12, 24, 27, -33, 3]]

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


[User]
What is the rank of the matrix:
[[-17, 18, 16, -31, 1],
 [26, 1, -16, 41, -3],
 [-19, 48, 20, -48, 4],
 [8, -23, 14, 15, 5],
 [-32, -56, 46, 46, -48]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-39, 20, -17, 33, 7],
 [2, -48, -24, 60, 16],
 [-26, -10, -2, 18, 9],
 [-37, 28, 1, 12, -3],
 [23, -8, 9, -42, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 44, 22, -35, 47],
 [9, -52, 4, -29, -20],
 [14, -33, 0, 4, -25],
 [-50, 79, 2, 40, -48],
 [-15, 9, -26, 47, -16]]

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


[User]
Determine the rank of the following matrix:
[[-7, -10, -1, -9, 7],
 [25, 10, 25, 0, 20],
 [7, 9, 6, -11, 6],
 [-10, 20, -20, -15, -23],
 [8, -10, 14, 6, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -3, 2, 4, -3],
 [36, -18, 12, 24, -18],
 [36, -18, 12, 24, -18],
 [0, 0, 0, 0, 0],
 [-24, 12, -8, -16, 12]]

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


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

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


[User]
Find the rank of the matrix:
[[2, 18, 10, -21, 2],
 [14, 6, 34, -22, 0],
 [6, 42, 22, 44, -16],
 [4, 60, 48, 71, -42],
 [-7, -42, -50, -80, 43]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 27, 1, -3, -47],
 [-1, 23, 12, -28, 0],
 [-26, -18, 4, 0, 5],
 [-62, -12, 12, -30, -8],
 [-45, 30, 25, -39, -44]]

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


[User]
What is the rank of the matrix:
[[19, 17, 21, -6, 16],
 [6, -6, 18, 12, 24],
 [-18, -18, -18, 8, -12],
 [-4, 4, -12, -8, -16],
 [-21, -24, -18, 13, -9]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, 12, -12, -17, -6],
 [-28, -24, 34, 40, 20],
 [15, -16, -5, 21, -17],
 [-9, 16, 7, -23, 21],
 [4, -20, 11, 28, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[13, -41, -6, 7, -13],
 [25, -15, -10, -30, 15],
 [12, 23, 10, -31, 27],
 [-30, 9, -42, 27, -27],
 [-43, 34, -68, 22, -26]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 15, -3, -9, -9],
 [20, 20, -4, -12, -12],
 [-5, -5, 1, 3, 3],
 [25, 25, -5, -15, -15],
 [-5, -5, 1, 3, 3]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-30, 30, 18, 18, 36],
 [-5, 5, 3, 3, 6],
 [0, 0, 0, 0, 0],
 [15, -15, -9, -9, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -2, -3, 2, 2],
 [6, -33, 53, -25, -47],
 [10, -36, 38, -20, -45],
 [36, -7, 18, -23, -8],
 [-4, 25, -46, 21, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 62, 0, -13, -7],
 [-12, 2, 5, 30, 14],
 [-1, -17, 30, 38, 4],
 [8, -25, -35, -44, 32],
 [-21, 12, 35, 44, -62]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-24, -8, 0, -16, -4],
 [-6, -2, 0, -4, -1],
 [6, 2, 0, 4, 1],
 [6, 2, 0, 4, 1],
 [-6, -2, 0, -4, -1]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -27, -15, -12, -9],
 [6, 32, 14, 12, 6],
 [-8, 9, -29, -16, -39],
 [8, -14, 30, 16, 42],
 [-8, 4, -28, -16, -36]]

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


[User]
What is the rank of the matrix:
[[13, 7, 0, -2, 7],
 [26, 9, 25, -34, 34],
 [-10, -14, -13, 8, -9],
 [30, 20, -13, 12, 5],
 [7, 10, 0, 4, 0]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, 7, -26, 8, -38],
 [-23, -36, -25, -3, -11],
 [17, 0, -18, -16, -50],
 [-7, -38, 19, -39, 17],
 [-4, 15, 13, 21, 35]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 5, 7, 19, 12],
 [-10, 5, 5, 20, 5],
 [-8, 10, -2, 46, -32],
 [10, -5, -5, -20, -5],
 [2, -6, 4, -29, 29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[28, 24, -18, -34, 34],
 [30, 24, -45, -9, 9],
 [16, 17, -15, -16, 10],
 [-38, -46, 39, 37, -13],
 [2, 5, 21, -27, 24]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[30, 22, -24, 17, -31],
 [-68, 25, 85, -14, 47],
 [10, 10, -4, 7, -13],
 [-2, 42, 6, 11, -3],
 [-38, 18, 46, -7, 27]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-15, 11, 34, -36, -18],
 [-29, -14, 10, 35, 45],
 [22, -8, -37, 16, -1],
 [-44, -7, 34, 7, 17],
 [-60, -27, 18, -9, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[11, -1, 14, -9, -19],
 [-3, -3, -6, 1, 7],
 [-17, -5, -26, 11, 33],
 [20, -10, 20, -20, -30],
 [8, -4, 8, -8, -12]]

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


[User]
Determine the rank of the following matrix:
[[-11, 17, -13, 1, -29],
 [12, -4, -4, -12, 8],
 [-25, -5, 25, 35, 5],
 [-5, -1, 5, 7, 1],
 [-4, 12, -12, -4, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[38, 4, -50, 22, -28],
 [-5, -41, -15, -6, -51],
 [13, 12, -5, -5, 20],
 [0, 39, 15, 15, 39],
 [12, 23, -15, 31, -5]]

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


[User]
Find the rank of the matrix:
[[-20, -6, -28, 8, 16],
 [-20, -6, -28, 8, 16],
 [-16, -16, -28, -16, -4],
 [-4, 10, 0, 24, 20],
 [4, -8, 1, -20, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -10, 14, 7, 0],
 [40, 12, -26, -36, -14],
 [-12, 28, -6, 2, 20],
 [12, -26, 0, 2, -19],
 [28, 26, -26, -30, -1]]

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


[User]
Determine the rank of the following matrix:
[[0, 15, 21, -3, -3],
 [-32, 4, -16, -2, -36],
 [-20, -8, -52, -5, -36],
 [6, -16, -25, 2, 6],
 [-32, 11, -9, -4, -39]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, -28, 18, 40, -12],
 [-10, 20, -14, -34, 8],
 [-5, 11, 3, 19, 15],
 [18, -30, 6, 6, -30],
 [-14, 29, -3, 11, 29]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-10, -8, -6, -4, -6],
 [-17, -20, -3, -20, -15],
 [2, 8, -6, 14, 6],
 [-21, -20, -9, -15, -15],
 [34, 24, 24, 7, 18]]?

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


[User]
Find the rank of the matrix:
[[-5, -4, -5, 6, -5],
 [-30, -24, -30, 36, -30],
 [25, 20, 25, -30, 25],
 [-25, -20, -25, 30, -25],
 [5, 4, 5, -6, 5]]

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


[User]
Determine the rank of the following matrix:
[[14, 9, 20, 9, 29],
 [14, 15, 10, 1, 11],
 [-6, -3, -10, -5, -15],
 [-22, -27, -10, 3, -7],
 [-2, 0, -5, -3, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[22, 2, -4, -6, -40],
 [3, -3, -3, -18, 15],
 [24, 0, -6, -18, -30],
 [14, -2, -5, -21, -5],
 [-10, -2, 1, -3, 25]]

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


[User]
Calculate the rank of matrix A where A =
[[24, 28, -24, -22, 42],
 [-54, -34, -4, 34, -5],
 [-6, 28, -18, -14, 65],
 [-18, -5, 41, 7, -21],
 [-36, -49, -23, 38, -33]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-7, 19, 14, 1, -2],
 [-26, -3, -29, 37, 3],
 [14, 2, 38, -36, -10],
 [36, -32, -34, -10, 14],
 [-31, 17, -26, 45, 6]]?

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


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

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


[User]
Find the rank of the matrix:
[[-15, 25, -10, -20, 25],
 [9, -7, -1, 13, -10],
 [-27, 5, 17, -41, 20],
 [15, -33, 17, 19, -30],
 [27, -21, -3, 39, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 20, -20, 0, -4],
 [14, 41, -25, -8, 19],
 [10, -25, 25, 0, 5],
 [34, 29, -5, -12, 35],
 [-18, -31, 15, 8, -21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -35, -23, 8, 5],
 [-6, -14, -11, 5, 8],
 [-23, 4, -11, 35, 56],
 [-38, -63, -51, 12, 35],
 [-3, 8, 2, 10, 14]]

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


[User]
What is the rank of the matrix:
[[5, 27, -17, 22, -2],
 [13, 20, -28, -1, 26],
 [9, 3, -17, -14, 26],
 [29, 14, -18, -15, 38],
 [18, 12, -10, -4, 19]]?

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


[User]
Find the rank of the matrix:
[[-16, -18, -16, 32, -32],
 [-25, -31, -25, 0, 35],
 [-22, -12, -22, 8, -14],
 [-22, -19, -22, 30, -34],
 [-6, 0, -6, 3, -12]]

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


[User]
Find the rank of the matrix:
[[12, 4, 8, -12, 0],
 [-19, 22, -6, -1, 25],
 [-5, -13, -6, 13, -10],
 [-14, 1, -8, 10, 5],
 [7, -26, -2, 13, -25]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [-4, -1, -4, -5, 3],
 [12, 3, 12, 15, -9],
 [-12, -3, -12, -15, 9],
 [20, 5, 20, 25, -15]]

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


[User]
What is the rank of the matrix:
[[34, 16, -27, 35, -41],
 [50, -3, -19, 4, 6],
 [26, -1, 4, 33, -28],
 [28, 6, -6, 34, -31],
 [24, 4, -20, -4, 6]]?

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


[User]
What is the rank of the matrix:
[[-13, -5, 27, 24, -14],
 [-6, 18, 0, 8, 6],
 [32, -5, -54, -54, 22],
 [-7, -2, 12, 10, -5],
 [-9, -12, 18, 10, -9]]?

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


[User]
Determine the rank of the following matrix:
[[-39, 27, 34, 42, 32],
 [18, 4, -8, -8, -14],
 [16, -27, 9, -11, -8],
 [-27, 44, -3, 66, 46],
 [37, 0, -46, -16, -19]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, -28, -18, -22, -30],
 [-60, -52, -26, 56, -16],
 [-28, -4, -34, 8, -32],
 [-38, -48, -7, 30, -5],
 [-47, -52, -15, 35, -12]]

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


[User]
What is the rank of the matrix:
[[10, -24, -36, 11, 8],
 [12, -26, -22, -10, 3],
 [46, 5, -28, -22, 41],
 [-28, -34, 12, -48, -20],
 [24, -35, -18, -53, 11]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-44, -60, -10, 11, 16],
 [-20, -29, -33, -15, 2],
 [8, 13, 49, 28, 0],
 [8, 15, -24, 3, 35],
 [24, 32, -32, -26, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[36, -62, 18, -54, -19],
 [1, -24, -66, -31, 53],
 [-23, 20, 22, 41, -33],
 [29, 8, 26, -17, -4],
 [-10, 2, 26, 16, -25]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -4, -22, -6, 1],
 [-6, 0, -24, -6, 0],
 [3, -8, -8, -3, 2],
 [15, -16, 20, 3, 4],
 [-9, 20, 14, 6, -5]]

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


[User]
Determine the rank of the following matrix:
[[7, 26, 79, -6, -84],
 [29, -46, 0, 19, 11],
 [-9, 56, -1, -46, -30],
 [-20, 32, -47, 9, 24],
 [-50, 78, -6, -50, -11]]

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


[User]
Find the rank of the matrix:
[[16, 0, 24, -12, -24],
 [28, -12, 12, 12, 12],
 [7, -3, 3, 3, 3],
 [18, -2, 22, -8, -18],
 [-14, 6, -6, -6, -6]]

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


[User]
What is the rank of the matrix:
[[-12, -8, -8, 8, 0],
 [18, 12, 12, -12, 0],
 [3, 2, 2, -2, 0],
 [0, 0, 0, 0, 0],
 [-18, -12, -12, 12, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-15, -13, -11, -13, 13],
 [-20, -20, -22, -16, 40],
 [-15, -15, 21, 33, -45],
 [-5, -3, 10, 7, -27],
 [-20, -21, 4, 19, -9]]

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


[User]
Determine the rank of the following matrix:
[[16, 20, -24, 16, -12],
 [24, 30, -36, 24, -18],
 [4, 5, -6, 4, -3],
 [4, 5, -6, 4, -3],
 [-12, -15, 18, -12, 9]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, -12, 20, -2, 2],
 [-23, 6, -42, 5, -1],
 [-22, -39, -15, 6, 4],
 [30, -39, 1, 0, 8],
 [30, -15, 17, -3, 4]]

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


[User]
Find the rank of the matrix:
[[-27, 19, 27, -38, 5],
 [10, 25, -20, 26, 63],
 [7, -40, -12, 29, -38],
 [29, -20, -26, 29, -6],
 [4, -2, -17, 17, 42]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -18, 0, -36, 12],
 [-30, -18, 0, -36, 12],
 [5, 3, 0, 6, -2],
 [15, 9, 0, 18, -6],
 [-5, -3, 0, -6, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -31, -17, 3, 9],
 [20, -10, -14, -6, 14],
 [-10, -20, -13, 3, 18],
 [18, 14, 4, -6, -5],
 [-16, -3, 6, 6, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -23, 9, 21, -14],
 [-34, -35, 25, 36, -13],
 [-20, -31, 21, 11, 0],
 [-4, 28, 18, -18, 40],
 [6, 36, -2, -9, 19]]

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


[User]
What is the rank of the matrix:
[[19, -30, 9, 73, 74],
 [19, -26, 2, 46, 55],
 [-41, 54, -24, -30, -29],
 [11, -22, 19, 50, 41],
 [-8, 12, -24, 43, 53]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-50, -41, 0, -10, -45],
 [-65, -64, -66, -17, -21],
 [-18, -23, 18, -26, 0],
 [11, 23, -12, 35, -21],
 [-21, -12, -72, 27, -18]]

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


[User]
What is the rank of the matrix:
[[10, -39, -3, 6, 8],
 [5, 21, 3, -6, -2],
 [21, -30, 22, -5, 12],
 [1, 48, 28, -17, -4],
 [-5, 27, 11, -7, -4]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 1, 3, 5, 5],
 [-15, 0, -19, -28, -29],
 [-21, 12, -21, -24, -27],
 [19, -13, 18, 19, 22],
 [20, -5, 23, 31, 33]]

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


[User]
Find the rank of the matrix:
[[-5, 1, 18, -12, -2],
 [7, -47, -27, 4, 4],
 [36, -40, 6, -21, -10],
 [5, 43, 21, -10, -12],
 [33, -55, -15, -14, -8]]

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


[User]
Determine the rank of the following matrix:
[[-49, -14, -40, -5, -40],
 [-21, -19, -41, 18, 17],
 [61, -7, 24, 18, 52],
 [-46, -5, -48, -1, -4],
 [-25, 10, -10, -21, -28]]

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


[User]
Find the rank of the matrix:
[[-3, 3, -12, -15, 0],
 [4, -4, 16, 20, 0],
 [-2, 2, -8, -10, 0],
 [0, 0, 0, 0, 0],
 [3, -3, 12, 15, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 27, -45, 30, 18],
 [10, -6, 6, 0, -8],
 [-23, 21, -27, 10, 22],
 [36, 0, -18, 30, -18],
 [-4, 6, -9, 5, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[32, 7, -39, 44, -7],
 [-39, -6, 6, -42, -33],
 [6, -6, 46, -11, 52],
 [-28, 34, -2, 12, -30],
 [5, 38, 18, 41, 23]]

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


[User]
What is the rank of the matrix:
[[-10, 10, 2, 14, 1],
 [10, -10, 0, -30, 0],
 [18, -18, -10, 26, -5],
 [28, -28, -8, -20, -4],
 [-2, 2, 4, -26, 2]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-34, 4, 0, 27, -15],
 [16, -11, -6, -28, 7],
 [40, -35, 29, -40, 50],
 [9, -18, 23, -9, 10],
 [-49, 27, -24, 46, -23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 12, -19, -1, -18],
 [-16, 18, 16, -16, 12],
 [20, 3, 29, -17, -8],
 [44, -33, 8, 16, 4],
 [16, 3, 27, -15, -2]]

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


[User]
What is the rank of the matrix:
[[-12, -16, -26, -20, 26],
 [36, -24, 24, 24, -24],
 [-36, 24, -24, -24, 24],
 [-9, 10, -3, -4, 3],
 [15, 2, 19, 16, -19]]?

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[User]
Calculate the rank of matrix A where A =
[[-6, -30, 30, 30, -30],
 [-6, -30, 30, 30, -30],
 [-3, -15, 15, 15, -15],
 [3, 15, -15, -15, 15],
 [1, 5, -5, -5, 5]]

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


[User]
Find the rank of the matrix:
[[-1, 27, 6, -2, -17],
 [-11, 42, -18, -20, 21],
 [11, 15, 4, -10, -64],
 [-15, 21, 16, 27, 26],
 [18, -30, 18, 7, -49]]

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


[User]
Find the rank of the matrix:
[[16, -18, 8, -37, 15],
 [-15, 9, -3, 33, -9],
 [-5, 17, -9, 14, -12],
 [19, -3, -1, -40, 6],
 [-7, 7, -3, 16, -6]]

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[User]
Calculate the rank of matrix A where A =
[[-53, -18, -30, -34, -24],
 [-22, -29, 13, -19, -30],
 [-18, -29, 48, -23, -22],
 [27, -6, 49, 14, -8],
 [4, -8, 9, 4, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 20, 22, 13, 14],
 [-32, -4, -86, -31, -28],
 [-28, 16, -72, -6, -18],
 [-60, 0, -48, -102, -6],
 [42, 0, 28, 74, 2]]

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[User]
Calculate the rank of matrix A where A =
[[6, -8, 4, 6, 23],
 [-13, -17, 17, 24, -1],
 [-4, -6, 1, -58, 23],
 [34, 34, -25, 16, -38],
 [-8, -16, 15, -52, 4]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-8, -10, 10, 12, 2],
 [-24, -30, 30, 36, 6],
 [8, 10, -10, -12, -2],
 [12, 15, -15, -18, -3]]

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


[User]
Determine the rank of the following matrix:
[[21, -22, -14, 8, -32],
 [6, -32, -4, 10, -4],
 [-12, -36, 8, 10, 28],
 [24, 2, -16, 1, -42],
 [9, 32, -6, -9, -22]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -74, 36, 15, -16],
 [-4, -36, -36, -62, 38],
 [-9, 72, -2, -16, 25],
 [-19, 40, -12, 14, 14],
 [9, 40, -32, -66, 40]]

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


[User]
What is the rank of the matrix:
[[-20, -30, -30, 0, 5],
 [20, 30, 30, 0, -5],
 [-16, -24, -24, 0, 4],
 [4, 6, 6, 0, -1],
 [24, 36, 36, 0, -6]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 16, 24, -6, 30],
 [-13, 6, 16, 2, 13],
 [35, 4, 14, -17, 62],
 [12, -27, -18, 27, 0],
 [0, -13, -8, 16, -5]]

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


[User]
Determine the rank of the following matrix:
[[-17, 22, 26, 31, 4],
 [15, 2, 14, 34, -8],
 [51, -24, 0, 33, -16],
 [53, -22, 4, 39, -10],
 [-3, 2, 23, 25, 11]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -42, 8, -18, 16],
 [4, 27, 35, 17, -11],
 [-16, 45, -23, 31, -10],
 [15, 17, 24, -3, -14],
 [-34, 60, -30, 56, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -46, 23, 41, 42],
 [2, 7, -21, -28, -24],
 [66, 6, -18, -54, -22],
 [-27, -58, 14, 23, 43],
 [-52, 5, -5, 5, 12]]

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


[User]
What is the rank of the matrix:
[[-6, 0, 10, -22, 6],
 [-11, -19, -68, 29, -15],
 [10, -4, -30, 42, -12],
 [-30, 6, 24, -30, 0],
 [-24, 13, 45, -32, 3]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-26, 10, 22, 11, 0],
 [-34, 10, 28, 24, 0],
 [0, 0, 0, 0, 0],
 [17, -13, -16, 13, 0],
 [27, -7, -22, -22, 0]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -16, -5, 22, -29],
 [24, -20, -28, -10, -52],
 [48, 58, 70, 57, -6],
 [27, 30, 22, 2, -4],
 [24, 36, 30, 6, 6]]

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


[User]
Determine the rank of the following matrix:
[[11, 52, -32, 64, 38],
 [-20, -4, 41, 5, 29],
 [58, 28, -8, -1, 0],
 [38, 46, 26, 18, 44],
 [-33, -48, 11, -26, -27]]

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


[User]
What is the rank of the matrix:
[[49, 54, -44, -25, 12],
 [-42, -10, 3, -35, 39],
 [66, 72, -60, -30, 12],
 [-22, 8, -16, -46, 14],
 [-19, -8, 4, 3, 22]]?

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


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

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


[User]
Find the rank of the matrix:
[[-17, 64, 64, -14, 47],
 [8, -12, -33, -9, -16],
 [-26, 6, 36, 3, 19],
 [-7, -6, 23, 16, 6],
 [4, 16, -4, -12, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, 1, -33, -13, 21],
 [-45, -27, -13, 7, -15],
 [54, 15, 12, -27, 27],
 [-33, -27, -15, 3, -9],
 [-2, -10, 22, 2, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 5, -26, -2, 40],
 [21, -30, 39, -22, -53],
 [24, -25, -1, 3, -39],
 [-29, 0, -13, 36, 28],
 [20, 25, 2, 16, -20]]

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


[User]
What is the rank of the matrix:
[[12, 20, -4, 8, 24],
 [6, -18, 36, -12, -66],
 [-7, 7, -23, 6, 38],
 [-8, -18, 9, -8, -29],
 [-22, -32, 1, -12, -31]]?

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


[User]
Determine the rank of the following matrix:
[[2, -16, -2, -31, 14],
 [6, 32, 6, -12, 36],
 [-1, 21, 38, 55, 17],
 [0, -26, 54, 26, 34],
 [19, 35, -20, -30, -3]]

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


[User]
Determine the rank of the following matrix:
[[-2, 34, -6, 34, -33],
 [-4, 20, 3, 10, -17],
 [14, -19, 0, -12, 23],
 [-2, 16, -9, -36, -8],
 [-16, -20, -18, -64, 12]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, -30, 47, 2, -50],
 [-26, -40, 27, 14, -48],
 [22, -13, -38, -20, 69],
 [-26, -43, 14, 12, -45],
 [-61, -32, 27, 36, 24]]?

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


[User]
Calculate the rank of matrix A where A =
[[-9, 38, 11, 32, -8],
 [-24, -5, 1, -9, 6],
 [29, -2, 4, -2, 14],
 [1, 9, -9, 17, -32],
 [0, -19, -10, -13, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-27, 12, -6, 8, 2],
 [21, -9, 6, -6, -2],
 [-3, -3, -18, -2, 6],
 [-15, 15, 30, 10, -10],
 [-54, 36, 36, 24, -12]]

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


[User]
Find the rank of the matrix:
[[-12, 0, -8, 4, -8],
 [15, 0, 10, -5, 10],
 [15, 0, 10, -5, 10],
 [-12, 0, -8, 4, -8],
 [12, 0, 8, -4, 8]]

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


[User]
Find the rank of the matrix:
[[1, -7, 59, -34, 36],
 [-16, 0, -10, -30, 20],
 [-5, -2, 22, -15, 28],
 [-2, -4, 52, -8, 54],
 [-10, 0, -37, 0, -1]]

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


[User]
Find the rank of the matrix:
[[28, -27, -20, 27, 33],
 [0, -55, 1, -15, 12],
 [-54, -40, 34, -28, -31],
 [8, 3, -2, 17, 9],
 [10, -20, 16, 28, 21]]

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


[User]
Find the rank of the matrix:
[[20, -30, 30, 20, 5],
 [-16, 24, -24, -16, -4],
 [24, -36, 36, 24, 6],
 [-16, 24, -24, -16, -4],
 [-4, 6, -6, -4, -1]]

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


[User]
Find the rank of the matrix:
[[3, 16, -27, 35, -6],
 [-18, 0, 2, -50, 4],
 [-12, 14, -22, -10, -2],
 [-12, 5, -7, -25, 1],
 [6, -13, 21, -5, 3]]

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


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

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


[User]
Find the rank of the matrix:
[[-14, 16, 42, 62, -44],
 [2, -5, 6, 23, -6],
 [-4, -23, -2, 17, 18],
 [7, -31, -8, 25, 15],
 [-40, 42, 33, -5, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -12, 6, -15, 9],
 [20, -16, 8, -20, 12],
 [5, -4, 2, -5, 3],
 [15, -12, 6, -15, 9],
 [25, -20, 10, -25, 15]]

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


[User]
Determine the rank of the following matrix:
[[30, 0, 5, 20, 15],
 [36, 0, 6, 24, 18],
 [-24, 0, -4, -16, -12],
 [-18, 0, -3, -12, -9],
 [24, 0, 4, 16, 12]]

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


[User]
Find the rank of the matrix:
[[14, -24, -6, -24, 8],
 [23, 15, -18, -34, 18],
 [-41, -15, 16, 48, -36],
 [-13, -6, 1, 11, -13],
 [-13, 42, -7, 15, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[-51, -9, -18, 5, -30],
 [-41, 20, -33, -3, -9],
 [27, -45, 54, 15, -36],
 [-5, 35, -3, -2, -36],
 [10, -28, 6, 20, 30]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 7, 10, -2, -6],
 [6, -40, 11, 18, 24],
 [4, 20, -6, -8, -44],
 [24, -26, 16, 14, -30],
 [-26, 85, -25, -40, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, 26, -24, -8, -2],
 [-1, 9, 36, -5, -30],
 [17, 0, 45, 1, -36],
 [-30, 7, -45, -6, 36],
 [13, -17, 18, 5, 0]]

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


[User]
Find the rank of the matrix:
[[-18, 0, 24, 36, 36],
 [27, -36, 16, 6, 0],
 [6, 0, -8, -12, -12],
 [-16, 12, 4, 12, 14],
 [-19, 12, 8, 18, 20]]

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


[User]
Determine the rank of the following matrix:
[[-18, -18, 33, -39, -8],
 [0, -26, 30, 10, -32],
 [16, 16, 2, 22, -24],
 [-24, -38, 24, -32, 8],
 [-18, -37, -21, -1, 44]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-14, -2, 4, 29, 38],
 [-22, -18, 8, 21, 62],
 [12, -2, -3, -31, -32],
 [1, -2, -6, -1, -2],
 [-11, -18, -20, 15, 34]]

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


[User]
Find the rank of the matrix:
[[-20, -6, 0, 0, 4],
 [27, 9, 2, 2, -7],
 [27, 9, 2, 2, -7],
 [13, 3, -2, -2, -1],
 [-4, -3, -4, -4, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -33, -15, -14, 22],
 [0, -28, -46, -26, 18],
 [28, 4, -36, -47, -14],
 [16, 34, -1, -26, -17],
 [42, 9, 23, -21, -32]]

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


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

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


[User]
What is the rank of the matrix:
[[8, 16, 2, 8, -4],
 [-8, -8, -24, -12, 8],
 [-4, -24, 43, 4, -6],
 [-2, -26, 60, 9, -10],
 [-4, 12, -56, -14, 12]]?

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


[User]
Calculate the rank of matrix A where A =
[[20, 13, -10, 20, -28],
 [-10, 24, 58, 96, -24],
 [12, 5, -24, -24, 44],
 [-13, 11, 42, 58, -62],
 [-5, 6, 24, 38, -92]]

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


[User]
Determine the rank of the following matrix:
[[-2, -18, 5, 24, -1],
 [-2, 10, -3, -12, 3],
 [-42, -14, 1, 36, 31],
 [48, 12, 0, -36, -36],
 [-22, -16, 3, 30, 15]]

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


[User]
Determine the rank of the following matrix:
[[15, -24, 60, 9, 12],
 [11, -20, 15, -14, -20],
 [-10, -16, 15, 11, 8],
 [16, 30, -15, -9, 0],
 [-20, 14, -6, 26, 32]]

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[User]
What is the rank of the matrix:
[[25, -28, 8, 0, 42],
 [46, -40, 32, 0, 59],
 [-21, 34, -47, -24, -1],
 [-59, 16, -38, 24, -64],
 [6, -64, 0, 36, 34]]?

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

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[User]
Calculate the rank of matrix A where A =
[[6, 2, -2, -17, 18],
 [-18, -18, 2, 61, -66],
 [9, 0, -4, -23, 24],
 [9, 12, 0, -33, 36],
 [6, 26, 6, -37, 42]]

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


[User]
What is the rank of the matrix:
[[-26, 36, 6, 32, -18],
 [38, -36, 30, -26, 18],
 [18, -24, -2, -21, 12],
 [18, -24, -2, -21, 12],
 [0, 0, 0, 0, 0]]?

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


[User]
Determine the rank of the following matrix:
[[-20, 20, -15, 0, -5],
 [-10, 8, 3, -2, 1],
 [11, -10, 3, 1, 1],
 [-6, 8, -15, 2, -5],
 [-9, 10, -12, 1, -4]]

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[User]
Calculate the rank of matrix A where A =
[[-20, 2, -14, 18, 4],
 [36, -7, 24, -31, -5],
 [-14, -19, -17, 21, 16],
 [-4, 14, 2, -2, -8],
 [-14, 15, -5, 7, -6]]

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


[User]
Find the rank of the matrix:
[[30, -24, 12, -4, 16],
 [-2, -24, 52, -72, -12],
 [-14, 36, -44, 48, -12],
 [-5, -22, 24, -21, 19],
 [24, -17, 4, 5, 15]]

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

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[User]
What is the rank of the matrix:
[[-6, 36, 46, 28, 22],
 [12, -6, 28, 90, 54],
 [16, -16, -12, 20, 16],
 [-10, -2, -5, -17, -16],
 [5, -26, -41, -38, -25]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [-15, 6, -9, 18, 3],
 [-30, 12, -18, 36, 6],
 [15, -6, 9, -18, -3],
 [25, -10, 15, -30, -5]]

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

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[User]
Calculate the rank of matrix A where A =
[[73, -6, -13, 46, 5],
 [-14, -50, -14, -32, 1],
 [-15, -66, -14, -31, -4],
 [9, 20, -71, 24, 22],
 [-10, 24, 0, -20, 12]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-5, 1, 1, 6, -6],
 [-36, 18, 24, 33, -45],
 [15, -21, -31, -1, 21],
 [-28, 2, 0, 37, -33],
 [22, -8, -10, -23, 27]]

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[User]
Determine the rank of the following matrix:
[[-50, -1, -32, 30, 4],
 [15, -33, 46, -26, -13],
 [-46, 19, -56, 38, 24],
 [-13, -6, 16, 4, -51],
 [8, -11, 7, -10, 24]]

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[User]
Calculate the rank of matrix A where A =
[[-23, -17, -22, 17, 35],
 [1, 7, 8, -7, -25],
 [-29, -19, -25, 19, 35],
 [-20, -12, -16, 12, 20],
 [15, 1, 3, -1, 15]]

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[User]
What is the rank of the matrix:
[[-21, 28, -18, 72, -58],
 [-8, 36, -25, 59, -11],
 [-21, -32, 13, -25, -35],
 [-4, -26, 2, -32, 23],
 [-30, 11, -16, -2, -7]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[5, -6, 2, -5, 6],
 [-30, 36, -12, 30, -36],
 [2, -4, 0, 18, -12],
 [26, -32, 10, -16, 24],
 [21, -24, 9, -36, 36]]

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[User]
Find the rank of the matrix:
[[5, -5, 0, 3, 5],
 [5, -5, 0, 3, 5],
 [-5, 5, 0, -3, -5],
 [-10, 10, 0, -6, -10],
 [-20, 20, 0, -12, -20]]

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[User]
Find the rank of the matrix:
[[17, 1, -16, 18, -11],
 [-32, 5, 2, -30, 14],
 [-9, 17, -18, -24, -21],
 [6, -13, -20, 36, 24],
 [31, -4, 16, 18, -19]]

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

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[User]
Determine the rank of the following matrix:
[[-2, -3, -50, -9, -36],
 [12, -13, -5, 21, -17],
 [-46, 14, 25, 2, -9],
 [6, 5, 52, 3, 46],
 [-10, 12, 58, -2, 46]]

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


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

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

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

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[User]
Determine the rank of the following matrix:
[[-85, 50, -5, 0, -50],
 [66, -36, 0, 0, 42],
 [5, 5, 48, -35, -17],
 [-63, 40, 9, -10, -42],
 [-1, 1, -9, 5, 4]]

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[User]
Calculate the rank of matrix A where A =
[[-24, -22, -20, -11, -15],
 [-44, 18, -38, 43, 55],
 [-31, 20, -42, -17, 24],
 [25, -8, 24, -13, -24],
 [-31, -22, -24, 0, -7]]

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[User]
Find the rank of the matrix:
[[-12, 12, -39, 36, -9],
 [8, -8, 26, -24, 6],
 [19, -19, 13, -5, -15],
 [22, -22, 34, -26, -6],
 [-6, 6, 3, -6, 9]]

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


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

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[User]
Calculate the rank of matrix A where A =
[[16, -66, -33, -11, 57],
 [2, -12, 9, 13, -11],
 [-18, 60, 30, 6, -60],
 [-26, 32, 13, -19, -67],
 [-2, -24, 3, 3, -17]]

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


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

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


[User]
What is the rank of the matrix:
[[21, 40, 26, 20, 7],
 [5, -19, -25, 1, -15],
 [-16, -38, -26, -18, -12],
 [-18, 20, 44, -16, 18],
 [19, -17, -38, 14, -21]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-40, 30, 35, 33, 27],
 [-14, 26, -11, 10, 11],
 [-34, 26, 29, 28, 23],
 [22, -8, -32, -19, -14],
 [34, -26, -29, -28, -23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, -4, 38, -24, -28],
 [16, 16, 17, -34, 8],
 [8, 16, 4, -24, 16],
 [-14, 4, -25, 14, 20],
 [18, 4, 27, -26, -12]]

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


[User]
What is the rank of the matrix:
[[-8, -13, 2, 44, -3],
 [14, 16, 10, 4, -6],
 [-14, -16, -10, -4, 6],
 [-26, -31, -16, 8, 9],
 [-7, -8, -5, -2, 3]]?

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


[User]
What is the rank of the matrix:
[[-8, 8, -4, 8, 6],
 [6, -15, 0, -12, -13],
 [36, 18, 36, 0, 24],
 [16, 2, 14, -4, 5],
 [60, -6, 48, -24, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-13, -14, 2, -18, -23],
 [-17, 8, 4, 0, -19],
 [-4, 7, -7, 6, 4],
 [13, 36, 32, 32, 7],
 [-20, 1, 7, -8, -28]]

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


[User]
Find the rank of the matrix:
[[2, -18, 0, -10, 4],
 [2, -21, -3, -14, 8],
 [2, -6, 12, 6, -12],
 [3, 3, 30, 25, -34],
 [4, -24, 12, -4, -8]]

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[User]
Determine the rank of the following matrix:
[[0, 18, 30, -12, 26],
 [12, 42, 60, 0, 42],
 [-24, -12, 0, -48, 20],
 [-18, -9, 0, -36, 15],
 [10, -10, -25, 30, -30]]

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[User]
Find the rank of the matrix:
[[-6, -6, 18, -18, 66],
 [-2, 5, 0, 4, -16],
 [-2, 5, 0, 4, -16],
 [1, -6, 3, -7, 27],
 [-22, 20, 30, -6, 14]]

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[User]
What is the rank of the matrix:
[[-5, 19, -6, 22, -21],
 [7, 2, 15, 0, 3],
 [0, -13, -3, -14, 12],
 [28, -31, 51, -42, 48],
 [-6, 15, -9, 18, -18]]?

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


[User]
Determine the rank of the following matrix:
[[-4, -24, -8, -20, 8],
 [0, 0, 0, 0, 0],
 [3, 18, 6, 15, -6],
 [0, 0, 0, 0, 0],
 [5, 30, 10, 25, -10]]

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

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[User]
Calculate the rank of matrix A where A =
[[-5, -10, -23, -8, 18],
 [3, -38, -27, 14, 14],
 [2, -7, -29, -20, 2],
 [-10, -27, 3, 36, 34],
 [-24, 43, 59, 20, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -1, -4, 0, -1],
 [-5, 5, 20, 0, 5],
 [-4, 4, 16, 0, 4],
 [1, -1, -4, 0, -1],
 [5, -5, -20, 0, -5]]

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


[User]
Find the rank of the matrix:
[[-17, 44, -28, 32, -56],
 [-55, 17, 6, 11, -28],
 [-9, -20, 26, -19, -2],
 [7, 7, 8, 18, -2],
 [32, -3, 2, 1, -6]]

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


[User]
What is the rank of the matrix:
[[-35, 33, 40, 22, 39],
 [8, -58, -30, 12, -12],
 [15, 69, 32, 12, 0],
 [-43, -14, 9, -8, 42],
 [-13, -69, -38, -34, -16]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 31, 72, 37, -21],
 [28, -14, -34, -16, 0],
 [-10, 1, -1, 7, -33],
 [-24, -10, 4, 6, -24],
 [16, 10, -24, -6, -12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -32, -24, 40, -34],
 [-2, -32, -14, 18, -17],
 [-6, -31, -12, 19, -16],
 [24, -8, -6, -14, 2],
 [-34, -21, -7, 38, -21]]

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[User]
What is the rank of the matrix:
[[34, -14, -33, -30, -24],
 [-23, -3, 58, -36, -46],
 [16, -5, -54, 51, 63],
 [-9, 1, 21, -12, -16],
 [-34, 29, 35, 21, 11]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 0, -45, 30, 5],
 [10, 20, 15, -14, 13],
 [-18, -35, -24, 23, -23],
 [8, 25, 39, -31, 14],
 [16, 10, -42, 26, 12]]

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


[User]
Determine the rank of the following matrix:
[[5, 7, 17, 35, 28],
 [-15, -5, -19, -9, -4],
 [20, 3, 18, -10, -13],
 [-20, 0, -12, 28, 28],
 [15, 6, 21, 15, 9]]

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


[User]
Find the rank of the matrix:
[[24, -1, 40, -23, 1],
 [-29, -10, -31, 34, 17],
 [-33, 20, 1, -20, -35],
 [8, -29, -35, 46, 36],
 [26, 6, 47, -41, -21]]

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


[User]
What is the rank of the matrix:
[[18, 25, 0, -14, 19],
 [-36, -29, 9, 13, -35],
 [12, -23, -17, 19, 7],
 [30, 16, -11, -5, 28],
 [60, 18, -28, 0, 54]]?

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


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

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


[User]
Find the rank of the matrix:
[[21, 0, -6, 24, 3],
 [-11, 8, -14, -20, 19],
 [-21, 0, 6, -24, -3],
 [-7, 0, 2, -8, -1],
 [-6, -16, 36, 8, -42]]

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[User]
Calculate the rank of matrix A where A =
[[-27, -42, 60, 39, -39],
 [-29, -39, 55, 36, -37],
 [1, -49, -35, -50, 17],
 [-12, -20, 25, 18, -17],
 [12, -25, -70, -65, 37]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 1, -3, -23, -3],
 [-4, 6, -27, 43, 27],
 [10, 9, 7, 57, 17],
 [47, 13, -18, -44, 12],
 [-89, -20, 46, 2, -47]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -23, -1, 27, -18],
 [14, 21, 9, -3, 26],
 [16, -6, -7, -13, 36],
 [-21, -4, 9, 32, -59],
 [-3, -6, -16, -37, 23]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[33, -3, 29, -23, 24],
 [-26, -54, 8, -23, -26],
 [19, 15, -7, 0, 18],
 [-17, -33, -1, -13, -16],
 [5, 3, -11, 0, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[38, -36, -45, 33, 20],
 [6, 19, 11, 5, 10],
 [-21, 8, 17, -27, -30],
 [15, 6, -13, -2, -13],
 [13, 21, 13, 16, 25]]

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


[User]
What is the rank of the matrix:
[[20, -4, 1, -25, -17],
 [35, 16, 5, -16, 28],
 [16, 6, 9, -5, 23],
 [-20, 7, 26, -58, 68],
 [-48, -24, 15, -1, -3]]?

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


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

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


[User]
Find the rank of the matrix:
[[46, -16, 64, 14, -40],
 [-37, 31, -17, 24, 6],
 [12, -27, 5, 11, -19],
 [38, -41, 23, -5, -23],
 [29, -48, 16, 13, -33]]

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


[User]
Calculate the rank of matrix A where A =
[[30, -25, 10, 5, -5],
 [-6, 5, -2, -1, 1],
 [-36, 30, -12, -6, 6],
 [-36, 30, -12, -6, 6],
 [24, -20, 8, 4, -4]]

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


[User]
Find the rank of the matrix:
[[-28, -2, -10, 10, -12],
 [-8, 36, -8, 0, -8],
 [-42, -40, 2, 0, -4],
 [-1, -36, -13, 30, -10],
 [-32, -42, -20, 36, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-50, 75, 78, -3, 18],
 [32, 23, 5, 10, -14],
 [30, -1, -16, 15, -2],
 [-14, 5, 20, 17, -38],
 [-58, 33, 48, -3, 24]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 20, 24, -2, 8],
 [9, 8, 3, 8, 12],
 [-3, 2, 3, -1, 0],
 [-4, 26, 24, 7, 20],
 [11, 16, 9, 12, 20]]

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


[User]
What is the rank of the matrix:
[[-26, 37, 16, 6, -12],
 [-34, 64, 8, 24, -6],
 [-17, 36, 18, 6, -13],
 [-14, -30, -2, -18, 0],
 [-4, -40, -3, -21, 1]]?

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