[User]
Compute the rank of the given 5x5 matrix:
[[-8, 20, -15, -40, -27],
 [-2, -13, -9, -28, 4],
 [26, 58, -27, -29, -19],
 [30, 31, -30, -40, 3],
 [-10, -52, 15, 15, 29]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -30, 12, 38, 8],
 [22, 51, -3, 2, -12],
 [13, 2, 13, 25, 2],
 [27, 25, -10, 35, -10],
 [16, 66, 18, -24, -8]]

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


[User]
Determine the rank of the following matrix:
[[-12, -34, -3, -26, 6],
 [16, 12, 7, 17, -2],
 [-23, -4, 16, 13, -24],
 [-9, 22, 9, 23, -18],
 [40, 38, -26, -1, 32]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -8, 24, -32, 48],
 [3, 8, 6, -4, 0],
 [0, 0, 0, 0, 0],
 [6, 9, 18, -18, 18],
 [-12, -39, -18, 6, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -3, 7, 17, 6],
 [-28, -12, -12, -42, 4],
 [-50, -30, 10, 5, 30],
 [36, 21, -5, 2, -20],
 [-40, -24, 8, 4, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -5, 0, -10, -5],
 [-1, 2, -5, 12, 6],
 [-1, 2, -5, 12, 6],
 [18, 6, 20, -20, -10],
 [-38, -20, -30, 8, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[15, 21, 8, -8, 20],
 [9, 0, 2, 12, -2],
 [-3, -24, -6, 28, -26],
 [-9, 9, 0, -24, 12],
 [-6, 6, 0, -16, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[28, -55, 4, 29, -53],
 [-26, 26, 20, -6, 26],
 [-10, -24, -42, -18, 10],
 [0, -65, -30, 5, -25],
 [-7, 56, -1, -21, 37]]

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[User]
Calculate the rank of matrix A where A =
[[15, 0, -20, 10, 15],
 [-13, 1, 20, -8, -17],
 [15, 6, -4, 14, -9],
 [-7, 1, 12, -4, -11],
 [-6, 0, 8, -4, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -20, 30, -25, 10],
 [0, 24, -36, 30, -12],
 [0, 12, -18, 15, -6],
 [0, 12, -18, 15, -6],
 [0, 12, -18, 15, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-62, -64, 42, 29, 3],
 [-67, -54, 61, 35, -26],
 [-37, -25, 35, 29, -10],
 [-17, -8, 13, 31, 16],
 [-18, -21, 16, -15, -33]]

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


[User]
What is the rank of the matrix:
[[-19, 56, 32, -29, 25],
 [43, -54, -47, 6, -25],
 [12, 12, 6, 4, -30],
 [-45, -22, -27, 2, 24],
 [-40, -16, -24, 2, 14]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, 0, -5, -10, -15],
 [-8, -6, 17, 10, -9],
 [-22, 6, -23, -22, -9],
 [-27, -4, 7, -2, -19],
 [-5, 0, -1, -2, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, -36, -1, -13, 45],
 [2, -37, 0, -51, 12],
 [-2, -13, -53, -24, -51],
 [26, 1, -6, 26, 27],
 [31, -13, -41, 32, 21]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -25, 10, 20, -10],
 [-7, 10, -13, -17, 4],
 [-7, -20, -9, -1, -8],
 [6, -45, 16, 34, -18],
 [5, 10, 7, 3, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[7, 1, -4, -3, -3],
 [26, -6, 24, 1, -16],
 [6, -2, 8, 1, -4],
 [-3, -1, 4, 2, 1],
 [17, -5, 20, 2, -11]]

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


[User]
Find the rank of the matrix:
[[-4, 44, -12, -28, 24],
 [-30, 3, -2, -16, 32],
 [-3, 52, -17, -27, 22],
 [21, -28, 31, -20, 4],
 [0, 42, 0, 33, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -3, 2, -16, -14],
 [-53, -39, -20, 39, 39],
 [11, -15, 6, 10, 15],
 [6, -9, -42, 24, -38],
 [-9, 23, 38, -64, -5]]

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


[User]
What is the rank of the matrix:
[[-25, -66, -24, -29, -79],
 [19, 66, -24, 4, 20],
 [8, 6, 18, -6, 6],
 [6, 24, 0, 15, 29],
 [27, 12, 78, -16, 32]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 4, 8, -8, 14],
 [-10, 4, 8, -8, 14],
 [22, -16, -8, 4, -22],
 [4, -16, 16, -24, 12],
 [-16, 10, 8, -6, 18]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -36, -36, -18, 14],
 [-23, 38, 30, 11, -13],
 [29, -26, 6, 19, 3],
 [33, -42, -18, 3, 11],
 [-24, 6, -36, -39, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-21, 22, -29, 8, 0],
 [19, 0, 21, -2, 11],
 [-18, 8, -22, 4, -6],
 [1, -30, 9, -8, -16],
 [-9, 4, -11, 2, -3]]

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[User]
Calculate the rank of matrix A where A =
[[-14, 17, 33, -1, 34],
 [6, 16, 12, 13, -17],
 [14, -20, -34, 6, -32],
 [4, 4, -6, 29, -17],
 [-25, -40, -35, -47, 56]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -43, -5, 2, -26],
 [31, -1, -32, 29, 4],
 [-5, 5, 2, -6, 0],
 [16, 24, -12, 24, 24],
 [-4, 0, -4, -10, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -2, -6, -1, 5],
 [-9, 6, 18, 3, -15],
 [-6, 4, 12, 2, -10],
 [0, 0, 0, 0, 0],
 [6, -4, -12, -2, 10]]

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


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

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


[User]
Find the rank of the matrix:
[[31, 0, 33, -5, 0],
 [43, -20, 24, -22, 30],
 [-19, 25, 0, 16, -29],
 [14, -20, 3, -9, 18],
 [-24, 25, 21, 39, -61]]

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


[User]
Determine the rank of the following matrix:
[[33, -15, -18, -36, -15],
 [11, 19, 14, -16, -14],
 [-12, -12, -8, 16, 12],
 [-1, 31, 26, -4, -11],
 [-16, -8, -4, 20, 13]]

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


[User]
What is the rank of the matrix:
[[10, 5, 17, -29, 11],
 [-19, 5, -20, 2, 10],
 [2, -8, -8, 19, -22],
 [-18, -10, -36, 46, -28],
 [-10, -3, -17, 18, -9]]?

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


[User]
Calculate the rank of matrix A where A =
[[20, 17, 26, 40, 1],
 [-1, 31, 10, 35, 19],
 [8, -17, 4, 10, -13],
 [-45, 17, -22, -17, 33],
 [39, 16, 52, 2, -9]]

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


[User]
Find the rank of the matrix:
[[-3, 3, -25, 12, -3],
 [-2, 2, -6, 4, 0],
 [-27, 27, -1, 24, 15],
 [-7, 7, -37, 20, -3],
 [5, -5, 31, -16, 3]]

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


[User]
Determine the rank of the following matrix:
[[0, -6, -29, -5, -8],
 [4, 36, 13, -5, 20],
 [50, 40, -4, -8, 26],
 [-1, -6, 31, -8, -15],
 [34, -34, -33, -7, -26]]

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


[User]
Determine the rank of the following matrix:
[[1, -7, 6, -6, -8],
 [-13, 5, -20, 2, 0],
 [-13, 37, -6, 24, 23],
 [20, -54, -6, -32, -26],
 [29, -17, 62, -12, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[-23, -48, 0, -18, 41],
 [-16, 22, 30, 32, -6],
 [-8, -17, 11, -44, 4],
 [26, 15, -16, -10, -17],
 [14, 28, 4, -20, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 26, 17, 6, -17],
 [-48, 0, 36, 2, -36],
 [12, 12, -6, 2, 6],
 [50, 10, -35, 0, 35],
 [2, 34, 7, 7, -7]]

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


[User]
Find the rank of the matrix:
[[10, 0, -5, 10, 10],
 [37, 18, 22, 1, -44],
 [25, 10, 10, 5, -20],
 [12, 0, -6, 12, 12],
 [-34, -16, -19, -2, 38]]

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


[User]
Determine the rank of the following matrix:
[[9, -28, -8, 0, -5],
 [20, 36, -8, -3, -10],
 [-21, -5, -25, -3, -16],
 [-2, 55, 3, -2, -1],
 [-9, 54, 2, -2, -1]]

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


[User]
What is the rank of the matrix:
[[-32, -37, -4, 29, -11],
 [-6, 6, -24, 6, 36],
 [28, 36, 18, -18, -14],
 [2, 8, 38, 20, -6],
 [-28, -33, 32, 45, 17]]?

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


[User]
Determine the rank of the following matrix:
[[-25, -4, 6, -4, 17],
 [-45, -3, 22, -17, 25],
 [-35, -11, -6, 7, 31],
 [0, 3, 8, -7, -4],
 [30, 9, 4, -5, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[53, 21, -32, -39, 2],
 [0, -2, -16, -8, -14],
 [-34, 18, -11, 16, -40],
 [12, -2, 14, 0, 22],
 [52, -10, 15, -22, 54]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -15, -6, 0, -9],
 [-3, 15, 6, 0, 9],
 [5, -25, -10, 0, -15],
 [-4, 20, 8, 0, 12],
 [-1, 5, 2, 0, 3]]

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


[User]
Find the rank of the matrix:
[[18, -7, -30, -2, -19],
 [-19, 6, 35, -4, 22],
 [15, -15, -3, -42, -3],
 [14, -6, -22, -4, -14],
 [24, -6, -48, 12, -30]]

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


[User]
Find the rank of the matrix:
[[24, 32, -18, -6, 16],
 [-17, -34, 24, -1, -8],
 [4, -24, 32, 17, -9],
 [47, 42, -16, -25, 44],
 [-13, -10, 8, 32, -33]]

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


[User]
Find the rank of the matrix:
[[0, -4, -4, 20, -20],
 [0, 6, 6, -30, 30],
 [0, -6, -6, 30, -30],
 [0, -1, -1, 5, -5],
 [0, 6, 6, -30, 30]]

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


[User]
Determine the rank of the following matrix:
[[10, 22, 2, 21, -1],
 [42, 32, -33, 31, 13],
 [-11, 3, -12, -42, -43],
 [-2, 0, -5, 14, -11],
 [-1, -43, -6, 0, 40]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, 61, 73, -29, -12],
 [-5, 19, 11, 38, 19],
 [1, 13, 18, 19, 5],
 [-1, -11, 11, -1, -34],
 [-7, -17, -36, -24, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-29, 1, -22, 21, 32],
 [5, -19, 28, -42, 22],
 [4, -20, 5, 0, 13],
 [-28, -26, -30, 49, -22],
 [28, -16, 47, -62, -20]]

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


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

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


[User]
What is the rank of the matrix:
[[-5, -70, -14, -44, -62],
 [24, -38, -39, -10, -59],
 [11, -34, -31, -38, -39],
 [-5, -60, -22, -29, -55],
 [42, 11, -32, 11, -25]]?

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


[User]
Calculate the rank of matrix A where A =
[[16, 4, -4, 10, -1],
 [25, 31, 24, 17, -27],
 [-26, -2, 12, -16, -3],
 [-4, 8, 12, -2, -9],
 [-56, -32, -8, -36, 22]]

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


[User]
Determine the rank of the following matrix:
[[20, 38, 14, 15, -33],
 [-52, -64, -25, -12, 57],
 [3, 10, 11, 9, -5],
 [7, -36, -31, -42, 20],
 [10, -6, -8, -15, 1]]

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


[User]
What is the rank of the matrix:
[[4, -17, 12, -4, -30],
 [24, 2, -6, 2, -24],
 [0, 16, -12, 4, 24],
 [-4, 9, -6, 2, 18],
 [-4, 21, -15, 5, 36]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [-26, -31, 10, 27, 23],
 [12, 18, 36, -42, 30],
 [-10, -13, -8, 19, -3],
 [6, 5, -26, 11, -29]]

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


[User]
Determine the rank of the following matrix:
[[-24, -13, 5, 31, -24],
 [-21, -2, -1, 10, 5],
 [-6, -9, 1, -1, 12],
 [26, 33, -26, -26, -25],
 [-16, -28, 18, 32, -14]]

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


[User]
Determine the rank of the following matrix:
[[20, -19, -2, -23, -5],
 [-13, -3, 7, 16, 9],
 [-1, -22, 29, -15, -4],
 [11, -6, -5, -11, -3],
 [-12, 16, -8, 20, 6]]

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


[User]
Find the rank of the matrix:
[[-1, 1, 11, 3, -4],
 [15, 9, -13, -21, 12],
 [-6, 0, 28, 12, -12],
 [-32, -22, 10, 42, -20],
 [7, -1, -39, -15, 16]]

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


[User]
Determine the rank of the following matrix:
[[-45, 9, 30, 18, 15],
 [-34, 18, 43, -20, 7],
 [-49, -3, 15, 6, 38],
 [-34, 12, 26, 55, -9],
 [4, -12, -11, -80, 39]]

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


[User]
Find the rank of the matrix:
[[23, 43, -8, 28, 4],
 [42, 36, -6, 34, 15],
 [4, 11, 20, -7, -35],
 [-6, 29, -16, -48, -5],
 [46, 40, -8, 16, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[-25, 0, 13, -40, -12],
 [5, -17, 11, -9, -18],
 [-15, -9, 15, -33, -18],
 [-20, -22, 28, -54, -36],
 [25, 0, -13, 40, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -5, -2, -2, 0],
 [-12, -10, -4, -4, 0],
 [-36, -30, -12, -12, 0],
 [-12, -10, -4, -4, 0],
 [-30, -25, -10, -10, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -6, 2, 0, 12],
 [4, 6, -2, 0, -12],
 [-10, -15, 5, 0, 30],
 [10, 15, -5, 0, -30],
 [6, 9, -3, 0, -18]]

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


[User]
What is the rank of the matrix:
[[50, -14, 46, -28, -12],
 [72, -6, 13, 4, 34],
 [-55, 34, -16, -24, -40],
 [-73, -44, 20, 0, -38],
 [-57, -10, -11, 2, -17]]?

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


[User]
What is the rank of the matrix:
[[49, -40, 14, 16, 3],
 [-28, 30, 14, -20, 23],
 [3, -32, -4, 34, -16],
 [-52, 10, 10, 7, 12],
 [33, -10, 10, 4, 5]]?

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


[User]
Determine the rank of the following matrix:
[[-36, -30, -27, 30, -21],
 [25, 28, 46, -2, 11],
 [-7, -17, -36, 11, -25],
 [15, 20, 38, 2, 9],
 [-22, -25, -35, 21, -25]]

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


[User]
What is the rank of the matrix:
[[-5, -30, -5, 10, -40],
 [4, 42, -68, 33, 54],
 [53, -42, -10, -84, -18],
 [8, 24, -82, 40, 30],
 [-22, -24, 41, -20, -21]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, 4, -4, 8, 10],
 [5, 0, -25, 30, 25],
 [-1, 6, 14, -12, -5],
 [5, 16, -1, 14, 25],
 [0, -2, -3, 2, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -16, 0, -7, 34],
 [6, -16, 3, -1, -8],
 [2, -32, -14, 17, -2],
 [-26, 48, -7, 7, -4],
 [-27, 59, 0, 0, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -14, -9, -46, 56],
 [33, -3, 17, -4, 4],
 [-3, 13, 35, 68, -79],
 [-36, -16, -26, -20, 25],
 [-3, -27, -21, -27, 24]]

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


[User]
Determine the rank of the following matrix:
[[8, -1, -19, -13, -19],
 [6, 9, 5, 14, 3],
 [-16, 29, 23, -7, -25],
 [13, -32, -14, 16, 40],
 [17, 27, 1, 20, -15]]

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


[User]
Find the rank of the matrix:
[[-81, -60, -39, 47, 60],
 [-23, -8, -25, 0, 22],
 [68, 6, 81, -99, 3],
 [-40, -36, -14, 13, 32],
 [-65, -32, -47, 81, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-66, -30, 6, 12, 36],
 [38, 15, 2, -5, -20],
 [-24, 5, -36, -9, 8],
 [-5, 0, -5, -1, 2],
 [-12, -10, 12, 6, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, -11, -10, 25, -3],
 [48, 76, 18, 24, 24],
 [-15, 25, 48, 56, -12],
 [-3, -16, -10, -15, -15],
 [-38, -71, -17, -39, -15]]

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


[User]
Find the rank of the matrix:
[[57, 33, 29, 30, -19],
 [7, 23, -37, -14, 27],
 [-15, -30, 38, 12, -28],
 [-21, -23, 43, 24, 7],
 [3, 4, 23, 21, 17]]

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


[User]
Find the rank of the matrix:
[[-5, 45, 7, -9, -7],
 [48, 0, 30, -54, -30],
 [-38, -10, -26, 46, 26],
 [25, 15, 19, -33, -19],
 [-11, 35, 1, 1, -1]]

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


[User]
What is the rank of the matrix:
[[-28, -18, -52, 42, -12],
 [-12, 48, 12, 18, -18],
 [-8, -7, -16, 12, -3],
 [26, 0, 38, -39, 15],
 [-22, -16, -42, 33, -9]]?

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


[User]
What is the rank of the matrix:
[[-51, 6, 27, 1, 12],
 [72, 27, -13, 16, 31],
 [-51, -54, -1, -7, -56],
 [12, -34, -34, -23, -51],
 [72, -3, -27, 12, -3]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 33, 42, -40, 6],
 [-19, -1, -3, 11, 24],
 [-14, 34, 42, -34, 24],
 [2, 14, 18, -18, 0],
 [-50, 13, 12, 10, 66]]

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


[User]
Find the rank of the matrix:
[[35, 2, 25, 34, 24],
 [41, -28, 31, 4, 36],
 [21, -30, 21, -12, 24],
 [-10, 35, -60, -21, -34],
 [56, -22, 16, -2, 36]]

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


[User]
Find the rank of the matrix:
[[-24, -47, -61, -14, -25],
 [28, -8, 17, 25, 5],
 [6, -33, -30, 3, -6],
 [10, 11, -2, -13, 22],
 [-16, -16, -11, 5, -23]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 10, 25, -31, -20],
 [-36, 37, -30, -13, -51],
 [14, -13, 18, 23, 20],
 [-31, -18, -31, -58, -18],
 [-8, 31, -2, 6, -27]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -2, 8, 12, 4],
 [18, -6, 24, 36, 12],
 [15, -5, 20, 30, 10],
 [18, -6, 24, 36, 12],
 [-15, 5, -20, -30, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 2, 2, -4, -12],
 [15, -7, -19, -13, 12],
 [12, -4, -4, 8, 24],
 [-10, 2, -6, -22, -32],
 [18, -10, -34, -34, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[11, 11, 9, -3, -1],
 [18, 4, 49, -21, 25],
 [-20, 0, 38, -6, 30],
 [27, -23, 28, -26, 18],
 [-17, 25, 18, 8, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -32, -20, 21, 6],
 [-8, 14, 12, -23, 4],
 [1, -12, -20, 17, 14],
 [-7, -8, -24, 3, 33],
 [7, -2, 20, -22, -13]]

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


[User]
What is the rank of the matrix:
[[-42, 12, 22, 19, 13],
 [48, -14, -26, -22, -18],
 [-72, 18, 30, 30, -6],
 [18, -3, -3, -6, 18],
 [12, -8, -20, -10, -54]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[28, 65, -64, 21, -6],
 [-28, -33, 12, -1, 14],
 [-76, -40, 14, 8, -12],
 [-10, 26, -52, 34, 18],
 [-48, -59, 31, -18, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -4, 2, 3, -4],
 [-2, 0, -22, -31, 12],
 [10, -21, 5, 8, -18],
 [6, -16, -14, -19, -4],
 [6, -10, 16, 23, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, 14, -12, -10, -42],
 [-22, -8, -52, -10, 26],
 [-15, -10, -45, -1, 33],
 [-6, -4, -6, 30, 18],
 [-2, -1, 4, 23, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -20, 0, -4, 4],
 [2, -10, 0, -2, 2],
 [5, -25, 0, -5, 5],
 [3, -15, 0, -3, 3],
 [1, -5, 0, -1, 1]]

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


[User]
What is the rank of the matrix:
[[-5, 26, 31, -3, 54],
 [-22, -28, -14, -4, 24],
 [16, 56, 58, -17, 40],
 [-7, 70, 59, 8, -22],
 [-15, 18, 21, -8, -56]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-47, 0, -3, 37, 2],
 [27, 0, -8, 1, -8],
 [-41, -23, 3, 56, 22],
 [-9, -4, -6, 37, -4],
 [-24, 0, -9, 68, -14]]

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


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

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


[User]
What is the rank of the matrix:
[[33, -15, -3, -9, -18],
 [-11, 41, 61, 40, 14],
 [-41, 35, 31, 28, 26],
 [-43, 13, -7, 5, 22],
 [38, -14, 2, -7, -20]]?

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


[User]
Determine the rank of the following matrix:
[[-6, -29, -22, -21, 0],
 [21, -11, 43, 20, 126],
 [1, 27, 43, 25, 70],
 [-12, -23, -52, -49, -10],
 [-1, 46, 17, 10, 18]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -4, 2, 8, 12],
 [4, 2, -1, -4, -6],
 [16, 8, -4, -16, -24],
 [-12, -6, 3, 12, 18],
 [-20, -10, 5, 20, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 9, -3, -6, -12],
 [-15, -9, 3, 6, 12],
 [5, 3, -1, -2, -4],
 [-25, -15, 5, 10, 20],
 [-10, -6, 2, 4, 8]]

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


[User]
What is the rank of the matrix:
[[10, 1, 4, -16, -7],
 [-2, 11, 16, -22, 7],
 [-2, 11, 16, -22, 7],
 [32, -8, -4, -26, -28],
 [-36, 6, 0, 36, 30]]?

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


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

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


[User]
Find the rank of the matrix:
[[12, -24, 6, -12, 36],
 [8, -16, 4, -8, 24],
 [6, -12, 3, -6, 18],
 [6, -12, 3, -6, 18],
 [8, -16, 4, -8, 24]]

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


[User]
Determine the rank of the following matrix:
[[12, 6, -12, 18, 30],
 [23, 19, -3, -3, 40],
 [-4, -2, 4, -6, -10],
 [24, 18, -8, 6, 46],
 [10, 8, -2, 0, 18]]

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


[User]
Find the rank of the matrix:
[[14, -39, 30, 15, 18],
 [-24, 49, -38, -43, -46],
 [-8, 36, -26, -7, -7],
 [21, -20, 20, 28, 37],
 [4, 10, -4, -2, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -6, 0, -2, -4],
 [-12, -36, 0, -12, -24],
 [-4, -12, 0, -4, -8],
 [6, 18, 0, 6, 12],
 [-4, -12, 0, -4, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[-25, 0, -10, 30, -20],
 [15, 0, 6, -18, 12],
 [20, 0, 8, -24, 16],
 [-20, 0, -8, 24, -16],
 [25, 0, 10, -30, 20]]

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


[User]
Find the rank of the matrix:
[[-5, 21, 7, -9, 9],
 [5, -27, -9, 13, -3],
 [-1, 0, 0, 1, 6],
 [-3, 15, 5, -7, 3],
 [6, -27, -9, 12, -9]]

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


[User]
Find the rank of the matrix:
[[-4, 2, -2, -10, -10],
 [-8, 4, -4, -20, -20],
 [0, 0, 0, 0, 0],
 [2, -1, 1, 5, 5],
 [2, -1, 1, 5, 5]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 26, 21, 5, -26],
 [-18, 12, 3, -2, -17],
 [-34, -34, -27, -17, 12],
 [-27, -21, 3, -8, 1],
 [18, -20, -39, -6, 29]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, 12, -24, 30, 9],
 [8, -16, 16, -24, -12],
 [-6, 12, -20, 26, 9],
 [4, -8, -24, 20, -6],
 [-6, 12, -16, 22, 9]]?

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


[User]
Find the rank of the matrix:
[[32, -19, 2, 19, 10],
 [15, 25, -23, 10, 22],
 [-18, 30, -6, -24, 12],
 [-45, 22, -17, 1, -32],
 [42, -30, 18, 6, 21]]

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


[User]
Determine the rank of the following matrix:
[[-13, 6, 4, -9, -42],
 [-13, 3, 4, -10, -38],
 [12, 21, -6, 15, 12],
 [8, -17, 6, 9, 12],
 [14, -20, 3, 12, 36]]

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


[User]
Find the rank of the matrix:
[[5, -17, -8, -4, -4],
 [-8, 16, 24, -2, 26],
 [6, -10, -20, 3, -23],
 [-1, 9, -4, 5, -9],
 [-4, 20, 0, 8, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[26, -21, -36, 23, 6],
 [-26, 10, 6, -6, -1],
 [22, -22, -42, 26, 7],
 [-18, 12, 18, -12, -3],
 [36, -24, -36, 24, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[11, 0, 14, 4, 13],
 [10, 36, 52, 2, 2],
 [-6, 40, 36, -4, -18],
 [2, 16, 20, 0, -2],
 [-6, 40, 36, -4, -18]]

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


[User]
Determine the rank of the following matrix:
[[31, -45, -3, 21, -11],
 [29, -27, 38, -39, 25],
 [2, -3, -4, 12, -6],
 [-36, -2, 4, 0, -40],
 [-44, 45, -5, -12, -6]]

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


[User]
Determine the rank of the following matrix:
[[9, 25, 36, 29, 0],
 [19, 25, 42, 44, 10],
 [14, 26, 13, -16, -2],
 [12, 24, 31, 22, 2],
 [14, 16, 27, 29, 8]]

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


[User]
Find the rank of the matrix:
[[-20, -12, -8, 46, 16],
 [-34, -41, -21, 10, -14],
 [-8, -13, -3, 2, -10],
 [-9, 7, -2, 52, 32],
 [-1, -12, -7, -44, -22]]

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


[User]
Find the rank of the matrix:
[[-14, 24, -5, 2, 21],
 [4, 1, -45, -36, -24],
 [0, -11, 42, 32, 13],
 [-22, 45, 10, 18, 49],
 [-6, 7, 5, 58, 28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 16, -20, 20, 0],
 [8, 14, -19, 15, 0],
 [-12, -22, 29, -25, 0],
 [10, 22, -26, 30, 0],
 [-12, -24, 30, -30, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[6, -18, 30, 0, 18],
 [2, -6, 10, 0, 6],
 [35, 12, 4, -54, -12],
 [31, -2, 22, -42, 2],
 [-12, 36, -60, 0, -36]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, 5, 0, 42, -35],
 [-22, 31, -36, -16, -3],
 [-3, -21, 43, 22, -10],
 [14, 1, 12, 56, -45],
 [-29, 20, 13, 47, -52]]

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


[User]
What is the rank of the matrix:
[[0, -6, 3, -15, 12],
 [0, 12, -6, 30, -24],
 [0, 12, -6, 30, -24],
 [0, -6, 3, -15, 12],
 [0, 10, -5, 25, -20]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 27, -30, -21, -39],
 [-16, 34, -2, 14, -32],
 [-8, 32, -10, 4, -34],
 [12, -8, -9, -14, 3],
 [16, 21, -31, -25, -34]]

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


[User]
Calculate the rank of matrix A where A =
[[24, -76, 6, 14, -6],
 [-33, 64, -18, -12, 4],
 [43, -42, 32, 36, 22],
 [-10, -60, -44, -3, -31],
 [-7, -58, -28, 15, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 1, 8, 10, 4],
 [-30, 14, -5, -4, -25],
 [-6, -1, 18, 22, 14],
 [30, -18, 25, 28, 45],
 [-30, 17, -20, -22, -40]]

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


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

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


[User]
What is the rank of the matrix:
[[13, -14, 28, -28, 24],
 [6, 2, 16, -6, -2],
 [-4, 17, -4, 19, -27],
 [-11, -11, -32, 5, 15],
 [-2, 25, 4, 23, -39]]?

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


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

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


[User]
What is the rank of the matrix:
[[49, 35, 57, -20, -27],
 [26, -25, -31, -17, -25],
 [37, 31, 56, -14, -21],
 [23, -2, 19, -9, -43],
 [23, -14, -12, -19, 39]]?

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


[User]
What is the rank of the matrix:
[[-12, 2, -16, -14, 8],
 [-14, -5, -15, -9, 13],
 [14, 1, 17, 13, -11],
 [8, 0, 10, 8, -6],
 [-14, -9, -13, -5, 15]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[40, 0, -25, -45, 30],
 [-36, -4, 19, 37, -26],
 [-24, -8, 8, 20, -16],
 [-10, -6, 1, 6, -6],
 [18, -2, -13, -22, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[37, 30, 31, 8, -8],
 [-18, -28, -26, -36, -70],
 [-44, -37, -5, 8, -2],
 [-5, -2, -15, -4, 14],
 [43, 34, 27, 2, -13]]

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


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

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


[User]
Find the rank of the matrix:
[[56, -16, -12, 30, 18],
 [2, 18, -36, 0, -30],
 [20, 4, -16, -20, 24],
 [-12, 12, -20, 20, -48],
 [31, -9, -6, 15, 12]]

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


[User]
What is the rank of the matrix:
[[-24, -45, -1, -7, -12],
 [-75, -54, -23, 7, 36],
 [-42, -42, -31, -46, 11],
 [-18, 0, -47, -23, 4],
 [-46, -13, 3, 24, 49]]?

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


[User]
Determine the rank of the following matrix:
[[-4, -6, -8, 10, 4],
 [4, -15, -4, 17, -10],
 [5, -24, -8, 28, -14],
 [-26, 24, -16, -16, 44],
 [-14, 0, -16, 8, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -8, 4, -8, -8],
 [-52, 4, 18, -12, -32],
 [14, -22, -14, -2, 23],
 [-12, -4, 2, -4, -4],
 [-6, 14, 8, 2, -13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -8, 1, -12, 3],
 [-1, -38, -2, 7, -15],
 [54, 13, 35, 11, 7],
 [-1, 13, 4, 10, -25],
 [-11, 39, 1, -14, -40]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 36, -6, 51, -24],
 [18, -6, 19, -31, 22],
 [-16, -36, -10, -31, 8],
 [18, 6, 17, -14, 14],
 [12, 12, 10, 2, 4]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, 25, -26, 14, -56],
 [21, 35, 8, -10, -24],
 [-5, -3, 3, 1, -2],
 [-13, -6, 18, -7, 14],
 [17, -6, -44, 21, -18]]

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


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

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


[User]
What is the rank of the matrix:
[[-15, -11, -49, -10, 14],
 [17, -11, -64, 24, 16],
 [3, 11, -13, 28, -38],
 [-13, -9, 6, -6, 64],
 [-25, -12, -27, -37, 12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, 17, 17, 15, -18],
 [33, 15, -53, -26, -20],
 [54, 9, 0, 39, -15],
 [13, -13, -21, -30, 24],
 [-30, -5, 48, 35, -1]]

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


[User]
Find the rank of the matrix:
[[-28, -54, 5, 29, -25],
 [30, 5, -61, 42, 23],
 [2, 4, -15, 38, -21],
 [20, 15, -18, -4, 44],
 [-22, 1, 51, -52, -25]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -13, 24, 4, 64],
 [24, -43, -10, 6, -38],
 [33, -32, 4, -24, 11],
 [-22, 22, 23, -15, 18],
 [20, -17, -22, 6, -27]]

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


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

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


[User]
What is the rank of the matrix:
[[4, 1, -3, 8, -2],
 [10, 15, -14, -26, -16],
 [-30, 1, -1, 2, -37],
 [-14, -4, 5, 2, -6],
 [-34, -2, 7, -18, -24]]?

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


[User]
Find the rank of the matrix:
[[-24, -16, 16, 18, -3],
 [-2, -24, -10, -24, -13],
 [14, 24, -2, 6, 10],
 [21, -12, -27, -45, -12],
 [1, 20, 9, 21, 11]]

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


[User]
What is the rank of the matrix:
[[-4, 30, 13, 14, -19],
 [6, 18, 3, 18, -9],
 [20, -24, -20, 8, 20],
 [12, -6, -9, 10, 7],
 [-7, 42, 19, 18, -27]]?

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


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

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


[User]
What is the rank of the matrix:
[[4, 6, 12, -8, 2],
 [-7, -21, -30, 21, -8],
 [15, 12, 36, -23, 3],
 [28, -21, 30, -14, -13],
 [26, -3, 42, -24, -5]]?

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


[User]
What is the rank of the matrix:
[[41, 62, 15, -10, -7],
 [-48, -57, 1, -10, 18],
 [-17, -32, -9, 20, 31],
 [29, 51, 45, 16, 15],
 [-19, -34, -2, 28, 53]]?

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


[User]
What is the rank of the matrix:
[[-9, -14, -22, 26, 7],
 [-9, 11, 13, -29, -13],
 [36, 6, 18, 6, 12],
 [33, 8, 20, 0, 9],
 [-21, -1, -7, -9, -9]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 20, -50, 33, 57],
 [5, -28, 12, -41, -36],
 [-16, -15, 50, -23, -12],
 [5, 21, -34, 32, 32],
 [-10, -19, 36, -28, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 18, -3, -3, -3],
 [1, -6, 1, 1, 1],
 [-3, 14, 2, 3, -1],
 [1, -26, 26, 31, 11],
 [9, -34, -16, -21, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, -19, 21, -8, -47],
 [-25, -3, 29, -10, -11],
 [-10, -52, -10, -26, 12],
 [-29, -26, 36, -28, 26],
 [26, 29, 26, 23, -29]]

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


[User]
Determine the rank of the following matrix:
[[-20, 2, -22, -46, 16],
 [-20, 12, 8, -16, -4],
 [-10, 14, 28, 16, -18],
 [30, -22, -24, 12, 14],
 [30, -22, -24, 12, 14]]

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


[User]
Find the rank of the matrix:
[[-45, 12, 8, 26, -17],
 [50, -22, 8, -42, 8],
 [-65, 26, -3, 48, -15],
 [30, -20, -6, -8, 10],
 [-25, 8, 18, -2, -17]]

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


[User]
Determine the rank of the following matrix:
[[-24, 70, -59, 33, 15],
 [-15, 34, -6, -7, 47],
 [5, 14, -21, 11, -14],
 [4, -41, 40, -25, 9],
 [-16, -17, -14, 18, -27]]

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


[User]
Find the rank of the matrix:
[[1, -1, -8, 8, -4],
 [9, -9, 0, -12, -24],
 [1, -1, -8, 8, -4],
 [2, -2, 14, -19, -3],
 [9, -9, 6, -19, -23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 10, 12, -6, 2],
 [36, -30, -36, 18, -6],
 [30, -25, -30, 15, -5],
 [-36, 30, 36, -18, 6],
 [24, -20, -24, 12, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -10, 7, 1, -4],
 [21, -2, -14, 7, 15],
 [24, -44, 14, 22, -14],
 [19, -17, 4, 11, -5],
 [16, -9, 27, 7, -3]]

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


[User]
Determine the rank of the following matrix:
[[-21, -24, 33, 3, -39],
 [8, 10, -17, -3, 20],
 [32, 28, -6, 14, 8],
 [11, 16, -35, -9, 41],
 [-4, -2, -7, -5, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -2, -8, -8, -6],
 [1, -1, -4, -4, -3],
 [-3, 3, 12, 12, 9],
 [-4, 4, 16, 16, 12],
 [-2, 2, 8, 8, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -10, -3, 14, -7],
 [-1, -12, -10, 76, 38],
 [-21, 12, -6, -36, -30],
 [8, 42, -37, 22, 11],
 [32, -12, 14, 16, 26]]

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


[User]
Determine the rank of the following matrix:
[[-24, 33, 47, -47, -12],
 [0, -20, -4, 12, 20],
 [-15, -2, 19, -14, 23],
 [6, -33, 21, 15, -23],
 [3, 10, -31, 6, 25]]

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


[User]
What is the rank of the matrix:
[[-6, -29, -24, -4, -35],
 [67, 35, 9, 20, 31],
 [47, 10, -26, 1, 7],
 [2, 1, 1, 0, 6],
 [-43, -45, 1, 1, -49]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -12, -3, -12, 36],
 [-25, 20, 5, 20, -60],
 [15, -14, 3, -7, 30],
 [5, -4, -1, -4, 12],
 [20, -28, 32, 14, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 12, -1, 20, -24],
 [2, -8, 57, -35, 49],
 [20, 27, -10, -44, 32],
 [-23, 28, 20, -16, 8],
 [10, -34, 18, 49, -31]]

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


[User]
What is the rank of the matrix:
[[8, 20, 0, -4, -12],
 [-10, -25, 0, 5, 15],
 [-6, -15, 0, 3, 9],
 [0, 0, 0, 0, 0],
 [6, 15, 0, -3, -9]]?

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


[User]
Determine the rank of the following matrix:
[[-65, 38, 2, -59, 5],
 [-23, 20, -1, -26, -4],
 [38, 6, -12, 6, 14],
 [11, 13, 7, -14, -22],
 [-15, -5, -6, 9, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -3, 33, 10, 29],
 [2, 50, -63, 36, -18],
 [-26, -13, -4, -28, -23],
 [2, -19, 38, 25, 21],
 [26, -9, 37, -22, 35]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 9, 15, 18, -15],
 [-15, -9, -15, -18, 15],
 [30, 18, 30, 36, -30],
 [10, 6, 10, 12, -10],
 [-25, -15, -25, -30, 25]]

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


[User]
Find the rank of the matrix:
[[-12, 20, -40, -56, -12],
 [-24, -26, 34, 26, 12],
 [18, 25, -35, -31, -12],
 [32, 20, -20, -4, -8],
 [-30, 6, -24, -48, -6]]

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


[User]
Determine the rank of the following matrix:
[[-1, -10, 40, -2, 39],
 [-1, -10, 40, -2, 39],
 [38, -12, -1, 27, -12],
 [-29, 6, 13, -21, 21],
 [1, 10, -40, 2, -39]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-42, -30, -36, -12, 0],
 [-9, -11, -6, -4, 2],
 [-42, -30, -36, -12, 0],
 [-3, 7, -6, 2, -4],
 [-18, -22, -12, -8, 4]]

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


[User]
Determine the rank of the following matrix:
[[-26, 20, 40, -28, -34],
 [10, -10, -5, 11, 12],
 [34, -49, -5, 50, 56],
 [0, -3, 20, -1, -4],
 [-16, 43, -40, -35, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[43, 33, -42, 58, -11],
 [-40, -52, 19, -58, 35],
 [25, 1, -21, -15, -8],
 [32, -3, -40, 9, -1],
 [-23, -12, 29, -28, -5]]

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


[User]
Find the rank of the matrix:
[[10, 0, -10, 24, -10],
 [33, -11, -19, 6, 10],
 [33, -23, -26, -40, -1],
 [-32, 9, 16, -10, -15],
 [-12, 6, 13, -2, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 20, 10, 8, 19],
 [17, 4, -9, 20, 17],
 [54, 24, -44, 56, 38],
 [-17, -12, 17, -16, -9],
 [24, 40, -10, 28, 32]]

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


[User]
Find the rank of the matrix:
[[11, -3, -7, -21, -2],
 [-1, 9, 1, 3, -2],
 [-3, 27, 3, 9, -6],
 [-1, 9, 1, 3, -2],
 [9, -33, -7, -21, 6]]

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


[User]
Determine the rank of the following matrix:
[[-12, -6, -38, 25, -6],
 [-2, 30, 18, 2, -2],
 [-18, 54, 34, -4, -14],
 [14, 24, 36, -11, 8],
 [17, 21, -5, 25, 13]]

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


[User]
What is the rank of the matrix:
[[-8, 24, 52, 20, -44],
 [-34, 5, 14, 25, 1],
 [0, 7, 7, -22, -18],
 [-51, -2, 17, 19, -1],
 [27, 36, -10, -14, -8]]?

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


[User]
Calculate the rank of matrix A where A =
[[29, -10, 16, -58, 16],
 [2, -16, 23, -4, 34],
 [7, -50, -15, -14, -34],
 [-19, -26, 24, 38, 40],
 [0, -14, -34, 0, -57]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[28, -18, 22, -6, 22],
 [24, -17, 59, -3, 33],
 [12, -7, 45, -17, 40],
 [-7, 3, -21, 17, -29],
 [-38, 27, -33, -11, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, 3, 9, 10, -29],
 [-19, -2, 13, 28, 16],
 [-12, 36, -20, -10, 15],
 [38, -8, 0, -4, -4],
 [-53, 23, 3, 22, 13]]

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


[User]
Find the rank of the matrix:
[[-27, 49, -66, 13, -40],
 [67, -57, 42, -31, 26],
 [-3, 1, 24, -2, 37],
 [20, 18, -12, -9, 25],
 [-13, -1, -6, 19, -40]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, -2, -18, 2, 4],
 [38, 15, 2, 26, -4],
 [-13, 0, 53, -17, -14],
 [4, 14, 43, 9, -26],
 [29, -7, -40, 4, 32]]

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


[User]
Determine the rank of the following matrix:
[[5, -21, 4, 40, 47],
 [-65, -15, 11, -22, -20],
 [-3, 23, -13, -14, -54],
 [13, -9, -1, 25, 40],
 [-17, -29, 12, 34, 27]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[20, -28, -36, -30, 24],
 [13, 1, -13, -22, 28],
 [12, 15, 5, 1, -16],
 [10, 8, -12, -36, 68],
 [-18, -34, 16, 2, 50]]

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


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

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


[User]
Find the rank of the matrix:
[[4, -13, 6, -39, -4],
 [-28, -11, -21, 12, 7],
 [23, 2, 17, -45, -16],
 [-24, -8, -17, 27, 13],
 [50, -6, 52, 6, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 9, 24, 0, 11],
 [8, -11, -20, 28, 27],
 [4, -9, -24, 0, -11],
 [-10, 14, 26, -34, -32],
 [-7, 8, 11, -31, -35]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -12, 8, -4, -48],
 [-9, -24, 6, 12, -6],
 [11, 34, -12, -10, 40],
 [-8, -26, 10, 6, -38],
 [15, 42, -12, -18, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -5, -11, -3, 30],
 [55, -32, 4, -98, 48],
 [-59, 58, -41, 16, 34],
 [-28, 23, -16, 20, 10],
 [26, -25, 38, -7, -56]]

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


[User]
Determine the rank of the following matrix:
[[38, 5, -10, -38, -19],
 [20, -10, 8, -20, -22],
 [-26, 5, -2, 26, 21],
 [-40, -20, 26, 40, 6],
 [-2, 25, -26, 2, 25]]

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


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

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


[User]
What is the rank of the matrix:
[[21, 11, 13, 50, -23],
 [10, -2, -39, -14, 8],
 [-5, -1, 23, 5, 39],
 [-4, 18, -23, 5, -16],
 [10, -14, 37, 17, 1]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -4, 2, -6, 6],
 [24, -8, 4, -12, 12],
 [36, -12, 6, -18, 18],
 [-36, 12, -6, 18, -18],
 [6, -2, 1, -3, 3]]

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


[User]
What is the rank of the matrix:
[[14, -8, -11, -15, 9],
 [40, -32, 4, -2, 42],
 [-28, -16, -10, -12, 30],
 [-6, -14, 16, 8, 9],
 [-38, 46, -14, 45, 18]]?

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


[User]
Calculate the rank of matrix A where A =
[[8, 36, 12, -21, -23],
 [8, 26, 9, 1, -9],
 [21, 9, -15, 6, -6],
 [-3, 21, 12, -38, -23],
 [-6, -6, -41, 26, -31]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -13, 23, -19, 12],
 [-39, -49, 14, -19, 3],
 [-19, -32, 13, -20, 11],
 [-23, -22, -4, -10, 8],
 [-20, -29, -29, -59, 86]]

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


[User]
Determine the rank of the following matrix:
[[24, -4, 20, -24, -20],
 [22, -23, -9, 6, -35],
 [-23, -1, -26, 30, 15],
 [41, -31, 0, -6, -55],
 [12, -31, -31, 30, -35]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -12, -27, -18, 9],
 [32, 16, 12, 8, -36],
 [-10, -12, -30, -20, 6],
 [28, 16, 18, 12, -30],
 [-10, 0, 15, 10, 15]]

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


[User]
What is the rank of the matrix:
[[18, -15, 12, 25, -9],
 [-29, -9, 45, -15, -2],
 [25, 22, -75, 4, 15],
 [15, 4, -3, 4, -13],
 [4, 28, -6, -30, -24]]?

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


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

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


[User]
Find the rank of the matrix:
[[-1, -4, 20, -14, 12],
 [-6, -29, 61, -56, 33],
 [-4, -6, -17, 14, -22],
 [-11, -10, -18, 30, -43],
 [11, 19, 6, -12, 31]]

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


[User]
Find the rank of the matrix:
[[-5, 19, -26, 24, 9],
 [16, 5, 6, 45, 15],
 [5, -6, 4, 9, -6],
 [0, -7, 9, -14, -4],
 [4, 11, 22, -13, 37]]

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


[User]
Calculate the rank of matrix A where A =
[[32, -18, -36, 44, -6],
 [19, 9, -16, 71, 0],
 [-12, -20, 23, -65, -33],
 [-11, -9, 16, 1, 18],
 [-8, 52, -11, -23, 0]]

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


[User]
What is the rank of the matrix:
[[11, 3, 21, -49, -26],
 [49, -55, -10, 13, 49],
 [-22, 34, -4, -6, -38],
 [-6, -3, 22, -29, -30],
 [-36, 34, 18, -16, -26]]?

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


[User]
What is the rank of the matrix:
[[-2, 20, 6, -14, 4],
 [-12, 8, 12, -12, 16],
 [8, 4, -6, 2, -10],
 [-11, 40, 18, -32, 17],
 [-9, 6, 9, -9, 12]]?

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


[User]
Determine the rank of the following matrix:
[[6, -22, 48, -22, 4],
 [5, -16, 25, -12, 0],
 [-10, -20, 2, -4, 0],
 [-16, -37, 1, -2, 3],
 [-5, 9, -4, -10, -11]]

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


[User]
What is the rank of the matrix:
[[10, -10, 10, -26, 6],
 [-6, 2, -4, 8, -2],
 [16, 22, 6, 34, 6],
 [8, -9, 10, -10, 15],
 [-8, -17, -7, -27, -7]]?

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


[User]
Determine the rank of the following matrix:
[[38, 44, -17, 31, -39],
 [30, 21, -26, 12, -14],
 [-27, 3, 9, -41, 0],
 [29, 8, -7, 10, 4],
 [-7, -4, -14, -42, 15]]

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


[User]
What is the rank of the matrix:
[[-1, -10, 33, 23, 17],
 [-6, -18, 16, 26, 4],
 [-13, -31, 0, 35, -10],
 [-9, -21, -2, 23, -8],
 [-4, -13, 15, 20, 5]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, 29, 54, -7, -36],
 [-29, -34, -70, 61, 1],
 [32, 49, 64, -82, -18],
 [20, 29, 16, -56, 1],
 [0, 37, 10, -53, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[33, -24, 2, -15, -24],
 [8, -17, -29, 9, 6],
 [-31, 20, 17, 6, 16],
 [-6, 9, 27, -9, -6],
 [31, -11, -3, -12, -22]]

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


[User]
What is the rank of the matrix:
[[12, -3, 15, -15, -21],
 [26, 17, 14, -22, -2],
 [42, 51, -14, -8, 18],
 [-22, -41, 12, 4, -44],
 [42, 52, -9, -13, 27]]?

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


[User]
Calculate the rank of matrix A where A =
[[2, -46, 31, -8, -10],
 [30, 30, -39, 24, 42],
 [1, 22, -16, 5, 7],
 [7, 34, -28, 11, 17],
 [-39, -18, 36, -27, -49]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 12, -12, -19, -13],
 [-7, -9, 9, 37, 29],
 [20, -24, 24, -27, -29],
 [15, -15, 15, -25, -25],
 [10, -18, 18, -4, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 4, 7, -34, 24],
 [-12, 3, 30, 24, 18],
 [0, 2, 8, -8, 12],
 [4, 3, 6, -24, 18],
 [-10, -5, -5, 50, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-34, 4, 4, -34, -20],
 [-19, -17, -8, 4, -7],
 [-1, 22, 18, -43, -10],
 [28, -72, -20, 42, 12],
 [0, -61, -48, 35, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, -13, 4, -42, -51],
 [-8, -11, -49, 23, 12],
 [57, 19, -16, 72, 32],
 [28, 15, 19, 5, 6],
 [-27, -18, -59, -21, -16]]

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


[User]
What is the rank of the matrix:
[[24, -49, -74, 19, 27],
 [12, -34, -11, 16, 36],
 [-8, 4, -11, -26, -38],
 [26, 1, 45, -75, -55],
 [39, -11, -37, -22, -18]]?

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


[User]
Determine the rank of the following matrix:
[[-1, 12, 4, 19, -36],
 [0, 9, 3, 9, -18],
 [-8, -39, -13, 17, -18],
 [-3, -3, -1, 18, -30],
 [-11, -48, -16, 29, -36]]

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


[User]
Determine the rank of the following matrix:
[[-20, 20, 30, 15, 10],
 [-8, 8, 12, 6, 4],
 [-16, 16, 24, 12, 8],
 [8, -8, -12, -6, -4],
 [-12, 12, 18, 9, 6]]

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


[User]
What is the rank of the matrix:
[[15, -4, -11, 9, 3],
 [31, 43, -49, -41, 5],
 [-6, -10, 20, 8, -4],
 [-33, -18, -2, 8, -16],
 [-8, 25, -9, -15, 31]]?

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


[User]
What is the rank of the matrix:
[[-2, 2, 0, -2, 0],
 [-25, 30, 10, 5, 25],
 [-5, 4, -2, -11, -5],
 [-20, 26, 12, 16, 30],
 [5, -4, 2, 11, 5]]?

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


[User]
What is the rank of the matrix:
[[-16, 16, 20, -24, -4],
 [-30, 42, 39, -18, 9],
 [-14, -2, 0, -14, -16],
 [-7, -11, -9, -8, -17],
 [11, -35, -40, 27, -16]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 20, 0, 0, 30],
 [-6, -12, 0, 0, -18],
 [12, 24, 0, 0, 36],
 [4, 8, 0, 0, 12],
 [8, 16, 0, 0, 24]]

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[User]
Calculate the rank of matrix A where A =
[[-37, 14, -30, 7, 22],
 [15, -32, 16, 4, -16],
 [-1, 15, -26, 33, 11],
 [-3, -21, 18, -21, -9],
 [-28, 24, -38, 23, 24]]

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[User]
Calculate the rank of matrix A where A =
[[24, -6, -20, -2, 26],
 [-52, 0, -28, -29, 48],
 [40, -2, 21, 39, -39],
 [12, -4, 26, 60, -34],
 [-76, 1, -51, 19, 22]]

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


[User]
Find the rank of the matrix:
[[21, 3, -12, 25, 18],
 [11, 21, 20, -1, 14],
 [13, -31, -54, 42, 6],
 [25, -22, -51, 51, 18],
 [12, -34, -70, 59, 20]]

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[User]
Calculate the rank of matrix A where A =
[[-18, -29, -6, -20, -31],
 [-24, 9, -30, 21, -12],
 [-10, -32, 4, -27, -27],
 [30, 5, 30, -10, 25],
 [-18, -3, -18, 6, -15]]

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


[User]
What is the rank of the matrix:
[[-14, -26, -32, 2, 34],
 [8, 39, 35, 34, -30],
 [-16, -6, -2, -40, 18],
 [-12, 31, 23, 22, -2],
 [5, 13, 4, 47, -8]]?

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


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

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


[User]
Find the rank of the matrix:
[[32, -24, -5, -22, 25],
 [-30, 13, -36, 33, -6],
 [-2, 1, -2, 1, -8],
 [23, -12, 19, -22, 13],
 [20, -21, -30, -13, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-17, 12, -11, 5, 2],
 [10, -36, -1, 25, -13],
 [36, 11, 32, -39, 1],
 [22, -28, 12, -4, 6],
 [-30, 36, -18, 18, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 15, 68, 20, -6],
 [-53, -43, 22, -5, 23],
 [-41, 12, 44, 57, 51],
 [-10, 33, 11, 58, 42],
 [3, -24, -16, -37, -21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -14, 16, -26, 40],
 [28, 2, -30, 27, -28],
 [16, -31, -31, 11, -22],
 [-12, -18, -4, 5, -48],
 [16, -11, -27, 23, -46]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, 33, 49, 15, -18],
 [12, 12, -27, 7, -4],
 [29, -1, -13, 25, -20],
 [-22, 26, -23, -17, 16],
 [-13, 16, -36, -26, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 30, -3, -6, 3],
 [-24, 45, -3, -4, 10],
 [6, -43, 2, -14, -31],
 [-12, -13, -1, -20, -28],
 [6, -27, 9, 4, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -18, 30, 60, 0],
 [1, -8, 19, 34, 0],
 [-4, -16, 4, 24, 0],
 [4, 4, 16, 16, 0],
 [10, 22, 20, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, 34, 2, 10, -6],
 [31, -38, 43, 49, -4],
 [-6, -3, 9, 18, -3],
 [7, 10, -22, -39, 6],
 [15, -12, 12, 9, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 0, 1, 5, -1],
 [6, 0, 1, 5, -1],
 [36, 0, 6, 30, -6],
 [-30, 0, -5, -25, 5],
 [30, 0, 5, 25, -5]]

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


[User]
What is the rank of the matrix:
[[-31, -27, 35, 15, 0],
 [-1, 16, -27, -1, 7],
 [-6, -3, 1, -33, 16],
 [2, 21, -33, 21, -2],
 [51, 17, -10, 10, -25]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 30, -36, 24, 60],
 [14, 31, -7, 27, 4],
 [8, 14, -6, 10, 4],
 [0, 10, 16, 16, -24],
 [-10, -30, 22, -28, -38]]

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


[User]
Find the rank of the matrix:
[[53, 15, 60, 3, 7],
 [-3, -48, -66, 0, -27],
 [40, 3, 46, -8, -2],
 [-34, -13, -6, -41, -28],
 [-6, -29, -38, 16, 24]]

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


[User]
Determine the rank of the following matrix:
[[-2, -62, -36, 51, 52],
 [-34, -1, -5, -1, 22],
 [21, 8, 31, 0, -54],
 [34, 30, 4, -27, -20],
 [2, 4, 38, 5, -56]]

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


[User]
Find the rank of the matrix:
[[11, 16, 13, -9, 23],
 [8, 18, 9, -7, 24],
 [5, -22, 8, -2, -23],
 [15, -24, 21, -9, -21],
 [-17, -12, -21, 13, -21]]

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


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

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


[User]
Determine the rank of the following matrix:
[[61, 29, -17, -10, 17],
 [-55, -7, 24, 12, -74],
 [46, 12, -16, -2, 65],
 [9, 17, 6, 16, 20],
 [-19, -57, -25, -54, -65]]

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


[User]
Determine the rank of the following matrix:
[[7, -6, 1, -9, 3],
 [-7, 2, 7, 21, 1],
 [9, -18, 15, 1, 11],
 [-20, -3, 10, 13, -1],
 [16, 26, -36, -30, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 25, -6, -16, 31],
 [28, -26, 30, 14, -6],
 [33, -38, 18, -8, -11],
 [-25, 15, -13, 11, -8],
 [-5, 21, 18, 29, 14]]

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


[User]
Find the rank of the matrix:
[[13, 12, -6, 6, -21],
 [25, 36, -18, 18, -21],
 [-33, -36, 18, -18, 45],
 [-26, -36, 18, -18, 24],
 [12, 12, -6, 6, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, 20, -4, -12, -17],
 [-6, -4, 10, 11, -4],
 [-51, 39, 3, 36, -48],
 [16, -18, 4, -29, 20],
 [-34, 30, -4, -1, -29]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 28, 12, 17, 34],
 [-12, 53, -66, -39, 23],
 [13, -3, 56, 22, -6],
 [-16, 22, -18, -18, -32],
 [13, -58, 58, 41, -7]]

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


[User]
Determine the rank of the following matrix:
[[0, 12, -12, -12, -18],
 [18, 18, 9, 12, -9],
 [-12, -14, -4, -6, 9],
 [0, 2, -2, -2, -3],
 [12, 4, 14, 16, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 62, 16, -44, 10],
 [-67, -41, -9, 25, 51],
 [-9, 36, 21, -3, 13],
 [5, 7, -26, -24, -7],
 [-9, -51, 10, 32, 3]]

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


[User]
What is the rank of the matrix:
[[-55, 9, 86, -35, 15],
 [-22, 5, 31, -16, 45],
 [46, 15, -55, 15, 24],
 [-15, -2, 19, -7, 6],
 [22, 30, -4, -6, 6]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 24, -16, 12, 12],
 [-4, 24, -16, 12, 12],
 [-1, 6, -4, 3, 3],
 [6, -36, 24, -18, -18],
 [-3, 18, -12, 9, 9]]

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


[User]
What is the rank of the matrix:
[[-5, -24, 11, -11, 12],
 [-1, -17, 20, -16, 26],
 [12, -32, -25, 24, 60],
 [11, -13, -45, -2, -18],
 [1, 45, -30, 26, -58]]?

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


[User]
Calculate the rank of matrix A where A =
[[-10, 39, 30, -29, 7],
 [-6, -4, 15, -7, 16],
 [-13, -8, 20, -16, 22],
 [-6, 30, -5, -21, -22],
 [9, -6, -25, 15, -20]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, 15, -18, -30, -12],
 [9, -15, 0, 3, -6],
 [-21, 35, 4, -1, 18],
 [-6, 10, -10, -17, -6],
 [0, 0, -36, -54, -36]]

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


[User]
What is the rank of the matrix:
[[8, 10, -7, -8, 30],
 [3, 25, -26, 14, 24],
 [-4, 40, -46, 40, 12],
 [2, -20, 23, -20, -6],
 [4, -10, 13, -16, 6]]?

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


[User]
What is the rank of the matrix:
[[45, 20, 15, 1, 23],
 [23, 0, -28, -34, -41],
 [-27, 22, -1, 41, -7],
 [-23, -24, 17, 11, -13],
 [25, -4, 18, -8, 25]]?

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [0, -36, 20, -8, -12],
 [12, 30, -18, -6, 18],
 [-2, 22, -12, 7, 6],
 [2, 14, -8, 1, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -12, 13, 12, 6],
 [5, -4, 9, -24, 30],
 [0, -8, 8, 12, 0],
 [-9, 8, -17, 42, -54],
 [5, -2, 7, -27, 30]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 40, 33, -3, 16],
 [-12, 58, 23, 27, 38],
 [16, -44, 1, -21, -44],
 [24, -66, -21, -39, -46],
 [48, 8, 10, -42, 8]]

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


[User]
Determine the rank of the following matrix:
[[-24, -20, 2, 28, 20],
 [38, 46, -33, -9, -26],
 [20, -4, 9, -27, 10],
 [-38, -30, 26, 10, 4],
 [8, 0, 12, -24, -8]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[30, 11, 16, 1, 21],
 [68, -27, -25, -41, -19],
 [4, 49, 12, 23, 27],
 [-27, 81, 18, -7, -32],
 [32, 7, 11, -35, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, 16, 44, 30, -24],
 [-12, -31, 21, -5, -13],
 [-9, 29, 11, 20, -5],
 [-6, 23, 7, 15, -3],
 [-30, 5, 45, 25, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[40, -9, 3, -51, -41],
 [41, -15, 6, 0, -4],
 [-21, 0, 5, 5, 13],
 [-48, 41, 6, -1, -30],
 [-43, 28, -8, -11, -18]]

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


[User]
Determine the rank of the following matrix:
[[2, -8, 1, -12, -23],
 [0, -4, 2, -8, -14],
 [13, -13, -16, 13, 10],
 [22, 14, -22, -6, -34],
 [-3, 3, 0, 13, 26]]

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


[User]
Find the rank of the matrix:
[[-25, -30, 0, 15, -30],
 [-1, 12, 6, -3, -4],
 [-20, -24, 0, 12, -24],
 [-13, -42, -12, 15, -10],
 [15, 18, 0, -9, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -12, 6, 4, 8],
 [-7, 12, 12, -10, -20],
 [9, 6, -9, 0, 0],
 [-1, 26, 9, -16, -32],
 [-10, 20, 18, -16, -32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, -29, -30, 22, 36],
 [36, -28, -24, 8, 0],
 [30, -18, -12, -4, -24],
 [-18, 10, 6, 4, 18],
 [-27, 21, 18, -6, 0]]

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


[User]
Find the rank of the matrix:
[[-12, -21, 22, -1, 4],
 [-16, -11, -5, -28, -22],
 [6, -20, 27, -35, 13],
 [22, 2, 9, -3, 30],
 [-4, -13, 17, -16, -2]]

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


[User]
What is the rank of the matrix:
[[27, 34, -17, -59, 20],
 [-9, 9, -8, -42, 43],
 [-16, -12, -24, -32, 8],
 [51, 24, 9, -25, 6],
 [10, 1, 4, 12, -15]]?

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


[User]
Find the rank of the matrix:
[[50, -41, -16, 19, 17],
 [72, -56, -17, 10, 6],
 [-6, 23, 11, -25, 33],
 [-2, -7, -11, 32, 22],
 [-2, 5, 11, -31, -41]]

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


[User]
What is the rank of the matrix:
[[-17, -7, 7, 31, 3],
 [-4, -7, 7, 4, 4],
 [-10, -24, 24, 6, 14],
 [-6, 9, -9, 18, -6],
 [-22, 7, -7, 50, -6]]?

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


[User]
What is the rank of the matrix:
[[20, -6, -5, 26, -19],
 [-12, -10, 44, 86, -24],
 [22, 14, 1, 44, -28],
 [24, -24, -21, -26, 5],
 [0, 42, -21, -58, 19]]?

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


[User]
Calculate the rank of matrix A where A =
[[-44, 36, 5, -45, 35],
 [32, -36, -20, 36, -32],
 [36, -18, 15, 33, -21],
 [-8, -24, -50, 2, -14],
 [16, -12, 0, 16, -12]]

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


[User]
Find the rank of the matrix:
[[28, 21, 12, -15, 0],
 [26, -14, -18, 6, 40],
 [-1, -14, -13, 7, 15],
 [45, 26, 23, -12, 32],
 [37, 35, 42, -6, 26]]

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


[User]
Find the rank of the matrix:
[[-5, 0, 0, -5, 5],
 [-25, -5, -10, -10, -10],
 [-19, -5, -10, -4, -16],
 [24, 5, 10, 9, 11],
 [18, 3, 6, 9, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, -32, 3, 17, -16],
 [-14, 53, -26, -46, 35],
 [26, 21, 52, -6, -17],
 [-2, 22, 6, -19, 8],
 [-14, 27, 2, -33, 23]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 20, 20, -25, 0],
 [8, -16, 8, 20, -20],
 [-12, -16, -16, 20, 0],
 [15, 0, 18, 0, -15],
 [-21, -8, -26, 10, 15]]

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


[User]
Find the rank of the matrix:
[[-31, 35, -6, 19, -5],
 [-24, 9, -54, -33, -45],
 [-34, 21, -54, -25, -45],
 [-28, 27, -18, 5, -15],
 [-27, 28, -12, 10, -10]]

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


[User]
What is the rank of the matrix:
[[49, 11, -37, 4, -6],
 [31, 9, -23, 4, -2],
 [38, -18, -34, -16, -28],
 [0, -50, -10, -36, -44],
 [-38, 18, 34, 16, 28]]?

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


[User]
Find the rank of the matrix:
[[44, -64, 18, -41, -4],
 [-17, 20, 17, 8, 31],
 [35, -6, 9, -1, 11],
 [-47, 27, -16, 15, -11],
 [-35, -5, 4, -9, 1]]

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


[User]
Find the rank of the matrix:
[[12, -25, 5, 30, 5],
 [-27, 43, 25, -16, -16],
 [-17, 65, 5, -44, -19],
 [16, -33, -15, 12, 12],
 [-22, -8, 22, 10, 0]]

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


[User]
What is the rank of the matrix:
[[36, -12, 6, 18, -12],
 [6, -2, 1, 3, -2],
 [18, -6, 3, 9, -6],
 [36, -12, 6, 18, -12],
 [-24, 8, -4, -12, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[29, 15, -3, 30, 1],
 [54, -4, 10, 6, 16],
 [26, 35, 22, 9, 5],
 [28, -36, -41, 42, -1],
 [12, 9, 15, -9, 6]]

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


[User]
Find the rank of the matrix:
[[-47, 28, -29, -5, 39],
 [-8, 22, -9, -2, 1],
 [1, -18, -18, -35, 4],
 [-5, 10, -25, -17, 39],
 [6, -10, -12, -18, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[48, 32, -48, -60, 26],
 [-24, -8, -12, 13, 12],
 [22, 0, 0, -32, 2],
 [38, 20, -24, -52, 20],
 [-42, -38, 60, 48, -28]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 26, -23, 20, -14],
 [25, 40, 8, 14, 26],
 [0, 6, 6, 1, 22],
 [-15, 18, -27, 20, 10],
 [-5, 10, -16, 11, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[29, -29, 20, -41, -30],
 [-30, 21, -24, 45, 27],
 [-3, -12, -5, 2, -5],
 [2, -23, 4, -23, -17],
 [57, -51, 26, -43, -48]]

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


[User]
Determine the rank of the following matrix:
[[21, -33, 26, 43, -22],
 [34, -39, 22, 22, 3],
 [-46, 69, -40, -24, -5],
 [19, -48, 23, -17, 3],
 [2, -6, -3, -28, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[-19, 23, 31, 5, 33],
 [-15, 30, 10, -25, 30],
 [-7, 17, 1, -19, 15],
 [8, -22, 2, 28, -18],
 [2, -1, -5, -4, -3]]

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


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

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


[User]
What is the rank of the matrix:
[[7, 28, -25, 25, -19],
 [8, -6, -27, 19, -46],
 [30, 42, 21, -41, -24],
 [-13, 12, 18, 30, 5],
 [3, -8, -4, 19, -44]]?

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


[User]
Determine the rank of the following matrix:
[[10, -25, -7, 33, -52],
 [-22, -3, -6, 25, 13],
 [5, -33, -7, 22, -57],
 [-30, -21, 0, 3, -9],
 [-78, -32, -16, 38, 22]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, -3, 7, -3, -15],
 [17, -21, 29, 3, 3],
 [-23, -11, 15, 15, 40],
 [-27, -3, 1, 9, 31],
 [-17, -3, 9, 15, 32]]

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


[User]
Determine the rank of the following matrix:
[[-24, -4, 8, -17, -9],
 [54, 16, -11, 40, 29],
 [24, 16, 4, 20, 24],
 [42, 16, -5, 32, 27],
 [42, 4, -17, 29, 12]]

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


[User]
Find the rank of the matrix:
[[-34, -8, -20, -18, -16],
 [-1, -8, 1, 3, 5],
 [-25, -24, -11, -5, 1],
 [-26, 12, -19, -22, -25],
 [8, -24, 10, 16, 22]]

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


[User]
Find the rank of the matrix:
[[14, 18, -1, -5, 15],
 [18, 14, -3, 1, -3],
 [-39, -33, 6, 0, 0],
 [-24, -8, 6, -10, 30],
 [7, 1, -2, 4, -12]]

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


[User]
What is the rank of the matrix:
[[8, 25, -11, 17, -4],
 [-4, -26, -8, -22, -16],
 [2, 10, 1, 8, 4],
 [6, 9, -18, 3, -16],
 [-4, 4, 22, 8, 24]]?

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


[User]
Determine the rank of the following matrix:
[[9, 0, -18, -6, -15],
 [6, 0, -12, -4, -10],
 [18, 0, -36, -12, -30],
 [3, 0, -6, -2, -5],
 [12, 0, -24, -8, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[33, -15, -13, -14, 15],
 [39, -12, -6, -32, 28],
 [21, -16, 6, -12, 12],
 [3, -7, 21, -12, 9],
 [15, -9, -4, -5, 6]]

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


[User]
What is the rank of the matrix:
[[-26, 19, -33, 44, -19],
 [16, 20, -24, 0, -41],
 [0, -47, 29, -38, -9],
 [-20, 22, -36, 32, -34],
 [-31, -12, 7, 9, 19]]?

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


[User]
What is the rank of the matrix:
[[-13, 5, 8, 3, 2],
 [33, -11, -31, 24, -3],
 [39, -17, -55, 70, -23],
 [-30, 12, 39, -47, 13],
 [3, 5, 16, -37, 26]]?

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


[User]
Find the rank of the matrix:
[[-15, -28, 1, -4, 5],
 [-3, -10, -15, -13, -15],
 [3, 17, 19, 24, 27],
 [21, 33, 17, 5, -3],
 [0, 4, 4, 7, 8]]

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


[User]
What is the rank of the matrix:
[[-24, 12, 23, -29, 4],
 [-12, 6, 8, -32, -12],
 [-12, 6, 14, -2, 12],
 [6, -3, -7, 1, -6],
 [-6, 3, 3, -21, -10]]?

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


[User]
Find the rank of the matrix:
[[-5, 3, -3, -5, -2],
 [3, 5, -3, -5, 2],
 [-18, -30, 18, 30, -12],
 [9, -19, 15, 25, 2],
 [2, -8, 6, 10, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 6, 20, 10, 7],
 [0, 0, -6, 24, -12],
 [-16, -8, -23, -28, -2],
 [-24, -12, -30, -60, 6],
 [4, 2, 0, 30, -11]]

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


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

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


[User]
What is the rank of the matrix:
[[-27, -14, -10, 41, 53],
 [18, -1, -43, -11, 3],
 [9, 10, 72, -61, -75],
 [26, 9, -22, -16, -21],
 [-19, 7, 49, -14, -28]]?

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


[User]
Determine the rank of the following matrix:
[[30, 25, -15, -20, 30],
 [0, 0, 0, 0, 0],
 [12, 10, -6, -8, 12],
 [-12, -10, 6, 8, -12],
 [6, 5, -3, -4, 6]]

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


[User]
Determine the rank of the following matrix:
[[45, -3, 33, 33, -48],
 [3, 19, -17, -5, -8],
 [-6, -6, 2, -2, 8],
 [-24, -8, -8, -14, 28],
 [9, -15, 21, 12, -6]]

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


[User]
Find the rank of the matrix:
[[37, 19, 10, 25, 13],
 [-4, -36, -18, -46, -12],
 [-82, -10, 38, 31, -34],
 [34, 24, -23, -2, 33],
 [24, 18, 0, 23, 33]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -6, -12, 0, -8],
 [-6, 18, 36, 0, 24],
 [1, -3, -6, 0, -4],
 [6, -18, -36, 0, -24],
 [2, -6, -12, 0, -8]]

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


[User]
What is the rank of the matrix:
[[-15, -30, -5, 0, -25],
 [-9, -18, -3, 0, -15],
 [6, 12, 2, 0, 10],
 [-6, -12, -2, 0, -10],
 [15, 30, 5, 0, 25]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-24, -12, -12, 30, 36],
 [42, 21, 24, -21, -21],
 [16, 8, 12, 22, 32],
 [-44, -22, -26, 13, 10],
 [-46, -23, -28, 5, -1]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 0, -1, -6, 5],
 [36, 0, -6, -36, 30],
 [30, 0, -5, -30, 25],
 [30, 0, -5, -30, 25],
 [24, 0, -4, -24, 20]]?

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


[User]
Calculate the rank of matrix A where A =
[[22, -18, -27, -43, -64],
 [-45, 14, -34, -4, 9],
 [-14, 17, -44, -29, -32],
 [-19, -35, -21, -22, -27],
 [43, -19, 13, -4, -17]]

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


[User]
Find the rank of the matrix:
[[-9, -28, -30, 29, -11],
 [12, 30, 36, -30, 6],
 [-20, -28, -48, 24, 16],
 [-3, -24, -18, 27, -21],
 [9, 6, 18, -3, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -36, -24, 18, -12],
 [-5, 14, 7, -1, 7],
 [-17, 46, 19, 7, 27],
 [12, -34, -18, 5, -16],
 [0, -6, -18, 39, 12]]

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


[User]
Find the rank of the matrix:
[[-58, 16, 24, -31, 14],
 [40, 12, -3, 27, 40],
 [-24, -35, -30, 4, 2],
 [-26, -7, 4, -33, -28],
 [30, 23, 9, 22, 42]]

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


[User]
Calculate the rank of matrix A where A =
[[71, -18, 15, -36, -2],
 [-22, -63, 16, 22, 17],
 [-16, 44, -15, 0, 0],
 [-29, 35, -29, 13, -3],
 [17, 29, -14, -14, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -26, 32, -5, 3],
 [0, 36, -29, 62, 37],
 [26, 31, -26, 38, 33],
 [-14, -15, 10, -29, -24],
 [-53, 9, -22, 6, -35]]

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


[User]
Determine the rank of the following matrix:
[[-10, 12, -1, -1, -4],
 [23, -20, -30, -11, 32],
 [-2, 0, 10, 4, -8],
 [8, -8, -6, -2, 8],
 [-19, 20, 10, 3, -16]]

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


[User]
Find the rank of the matrix:
[[-9, 57, -41, 9, -29],
 [5, 25, 2, -4, -14],
 [-29, 21, 7, -23, 3],
 [1, -35, -20, 34, 4],
 [24, 18, -28, 22, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 25, 18, 19, -20],
 [-20, 22, 18, 16, -14],
 [20, -13, -12, -9, 6],
 [0, 9, 6, 7, -8],
 [-20, -14, -6, -12, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -24, -20, -16, 12],
 [-8, -24, -20, -16, 12],
 [-8, -24, -20, -16, 12],
 [2, 6, 5, 4, -3],
 [2, 6, 5, 4, -3]]

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


[User]
Determine the rank of the following matrix:
[[-6, 45, -9, 49, 15],
 [2, -19, 7, -23, -1],
 [3, -6, -12, 3, -24],
 [-1, 23, -17, 34, -13],
 [5, -16, -14, -5, -34]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -3, -24, -16, 6],
 [4, 10, 14, 2, -20],
 [-1, 4, 29, 19, -8],
 [5, 15, 30, 10, -30],
 [6, 17, 31, 9, -34]]

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


[User]
Calculate the rank of matrix A where A =
[[25, -20, -30, 25, -15],
 [-25, 20, 30, -25, 15],
 [10, -8, -12, 10, -6],
 [15, -12, -18, 15, -9],
 [5, -4, -6, 5, -3]]

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


[User]
Find the rank of the matrix:
[[-44, -45, 7, 0, 18],
 [1, -10, 9, 22, -13],
 [10, 72, 32, 35, 7],
 [26, 40, -32, -61, 23],
 [12, 37, 11, 19, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, -9, -5, 0, -4],
 [-24, -13, 12, -22, -11],
 [36, -6, -12, -12, 22],
 [-20, -33, -2, -8, -5],
 [-8, -39, -38, 12, 5]]

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


[User]
What is the rank of the matrix:
[[5, 29, -40, 18, -6],
 [-23, 53, -1, 24, -15],
 [7, 49, -38, 18, -12],
 [-28, 5, 17, 18, 3],
 [-49, 10, -2, 42, 2]]?

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


[User]
What is the rank of the matrix:
[[37, 52, 18, -70, -57],
 [29, -44, -54, -14, -46],
 [27, -24, -24, -3, -63],
 [43, 2, -23, -26, -21],
 [-19, -28, -22, 8, 22]]?

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


[User]
Calculate the rank of matrix A where A =
[[-20, 10, 25, -25, -30],
 [12, -6, -15, 15, 18],
 [-4, 2, 5, -5, -6],
 [16, -8, -20, 20, 24],
 [0, 0, 0, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 6, -6, 0, 10],
 [-6, 36, 0, 0, 42],
 [-6, 27, 1, 0, 31],
 [-4, 33, -1, 0, 39],
 [-4, -12, 4, 0, -16]]

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


[User]
Find the rank of the matrix:
[[2, 22, -3, 32, 26],
 [4, 23, 9, 0, 47],
 [-36, -23, 39, 16, -23],
 [34, 20, -45, 0, 8],
 [-16, -13, 15, 8, -17]]

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


[User]
Determine the rank of the following matrix:
[[-48, 38, -24, 6, -32],
 [32, -47, 42, -22, 10],
 [7, -14, -8, -36, -20],
 [-17, -2, -8, 16, -4],
 [-20, 15, -16, -13, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[42, 13, -59, 19, 37],
 [48, 6, -57, 18, 36],
 [-14, -44, 9, 32, 28],
 [-15, -20, 2, 46, -4],
 [15, 18, 7, -36, -23]]

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


[User]
What is the rank of the matrix:
[[18, -27, 18, -19, 7],
 [-20, -4, -20, -28, -38],
 [16, -4, 16, 12, 24],
 [22, -10, 22, 10, 29],
 [12, -21, 12, -17, 2]]?

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


[User]
What is the rank of the matrix:
[[-2, -16, 2, -13, 11],
 [3, -12, 7, -12, -29],
 [4, 8, 12, -16, 0],
 [5, 8, 9, -7, -22],
 [-8, 10, -30, 52, 13]]?

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


[User]
Determine the rank of the following matrix:
[[36, 0, 0, 30, -18],
 [-24, 0, 0, -20, 12],
 [24, 0, 0, 20, -12],
 [6, 0, 0, 5, -3],
 [12, 0, 0, 10, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-21, -14, 20, 23, -4],
 [-3, -36, -23, 13, -8],
 [12, 4, -8, -12, 4],
 [12, 4, -3, -12, 6],
 [6, 44, 40, -18, 16]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-30, -30, -30, 18, -36],
 [-15, -15, -15, 9, -18],
 [-15, -15, -15, 9, -18],
 [0, 0, 0, 0, 0]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 12, -28, 20, -1],
 [-16, 18, -16, 16, 11],
 [18, -12, 27, -16, 1],
 [8, -39, 14, -54, -38],
 [32, -3, 50, -6, 24]]

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


[User]
Determine the rank of the following matrix:
[[-35, 40, 1, 24, -19],
 [1, 14, 4, -28, 30],
 [14, -25, 6, 12, -19],
 [-13, 6, -10, 20, -16],
 [-16, 34, 20, -8, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -25, -32, -18, -3],
 [-32, 4, 6, 24, -18],
 [-18, -9, -11, 6, -12],
 [0, 36, 46, 24, 6],
 [-48, 6, 9, 36, -27]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-18, 22, 1, 25, -18],
 [64, -57, -57, -57, 100],
 [18, -5, -26, 7, -9],
 [-44, 23, 15, 27, -58],
 [-24, 4, 22, -5, -3]]

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


[User]
What is the rank of the matrix:
[[30, -34, 5, 8, 22],
 [-20, 8, -40, 24, 0],
 [20, -24, 0, 8, 16],
 [-25, 20, -25, 10, -10],
 [30, -24, 30, -12, 12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, 15, -26, 4, 1],
 [-11, -2, 4, 17, -20],
 [8, 45, -22, 3, 1],
 [45, 43, -74, 4, -23],
 [-23, -41, 42, -4, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -29, 13, -18, 4],
 [12, 28, -8, 28, 6],
 [-4, 22, 28, 18, 16],
 [0, -5, -23, -6, -12],
 [-28, -10, -40, -26, -32]]

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


[User]
What is the rank of the matrix:
[[-17, -14, 33, -30, 19],
 [25, -30, -9, 32, 23],
 [34, -11, -11, 34, -20],
 [-22, 5, 10, -12, 16],
 [2, 18, -34, 23, -3]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, -3, -15, 9, -3],
 [-18, 6, 30, -18, 6],
 [-3, 1, 5, -3, 1],
 [15, -5, -25, 15, -5],
 [9, -3, -15, 9, -3]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -4, 20, 8, 4],
 [3, 3, -15, -6, -3],
 [-5, -5, 25, 10, 5],
 [6, 6, -30, -12, -6],
 [1, 1, -5, -2, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 12, -11, 30, 15],
 [-22, 24, 26, 24, -42],
 [4, 8, -14, 25, 20],
 [7, -4, -11, 1, 17],
 [3, 12, -15, 33, 21]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -6, 13, -7, -4],
 [-14, -18, -2, 2, 0],
 [-13, -12, -7, -7, -16],
 [-26, -5, -16, 4, -8],
 [-14, 0, 22, -26, -32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -30, 25, -10, 20],
 [8, -10, 4, -2, 10],
 [-4, 60, -37, 16, -50],
 [-12, -7, 8, -3, 3],
 [8, -54, 32, -14, 46]]

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


[User]
What is the rank of the matrix:
[[-12, -6, -2, -8, 6],
 [32, 22, 8, 14, -24],
 [34, 20, 7, 19, -21],
 [6, 21, 9, -18, -27],
 [14, 22, 9, -9, -27]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -11, -38, 31, -32],
 [35, -42, 14, -23, -3],
 [-2, -17, -43, 37, -33],
 [-18, 4, -41, 41, -24],
 [24, 10, 7, -25, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -26, -17, -5, -21],
 [-30, -30, -10, 10, 22],
 [24, 60, 25, 45, 25],
 [-13, 14, 9, 40, 22],
 [0, 16, -22, 50, 42]]

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


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

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


[User]
Find the rank of the matrix:
[[-19, 24, 5, 20, -20],
 [21, 0, -15, 0, 12],
 [-18, -6, 15, -5, -8],
 [-17, 6, 10, 5, -12],
 [-13, 12, 5, 10, -12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[54, 19, -34, -54, -61],
 [26, -9, -6, -26, -19],
 [-16, -16, 16, 16, 24],
 [48, 20, -32, -48, -56],
 [-12, 16, -4, 12, 2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[60, -31, 22, 36, 0],
 [14, 9, -16, -5, 76],
 [-45, 23, 19, 2, -62],
 [-21, 14, 1, 0, -14],
 [53, -50, 7, 8, -22]]

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


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

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


[User]
Find the rank of the matrix:
[[-11, 12, -9, 15, -33],
 [-16, -24, 52, -28, -32],
 [-4, -66, 12, -18, 18],
 [-1, 28, 11, -1, -15],
 [-5, -1, -11, 10, -12]]

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


[User]
Find the rank of the matrix:
[[-48, 34, 6, 18, 16],
 [-74, 62, 18, 49, -17],
 [-74, 60, 28, 39, -1],
 [66, -56, -30, -39, 10],
 [-60, 46, -10, 40, -8]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -10, -4, 10, 6],
 [-30, 25, 10, -25, -15],
 [-30, 25, 10, -25, -15],
 [36, -30, -12, 30, 18],
 [12, -10, -4, 10, 6]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, -4, -2, 1, 1],
 [0, 16, 0, -10, -26],
 [-44, -28, -22, 1, -15],
 [-32, -16, -16, -2, -18],
 [20, 20, 10, -5, -5]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-32, -24, 22, 18, 26],
 [32, 20, -13, -11, -23],
 [-32, -16, 4, 4, 20],
 [4, 12, -23, -18, -10],
 [44, 20, -1, -2, -26]]

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


[User]
Determine the rank of the following matrix:
[[-40, 46, -18, 6, -14],
 [-3, 12, -13, -23, -8],
 [-46, 29, -7, 4, -7],
 [0, 13, -1, 19, -3],
 [-30, 18, -11, -34, -11]]

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


[User]
Determine the rank of the following matrix:
[[11, 9, 11, 5, 39],
 [17, 12, -7, -25, -16],
 [-16, -9, -7, 5, -18],
 [-12, -26, 20, 28, -14],
 [17, 12, 11, -1, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 8, 12, -6, -10],
 [-16, -6, -26, -3, 5],
 [-2, -7, -2, 9, 10],
 [12, -8, 22, 21, 15],
 [16, -14, 30, 33, 25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -27, -2, 1, -24],
 [10, -15, 35, -5, -30],
 [-3, -36, -33, 6, -18],
 [3, -18, 3, 0, -18],
 [-6, 0, -26, 4, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -15, 25, 14, -15],
 [-8, -50, 0, 18, -20],
 [-15, 41, -32, -34, 31],
 [2, -14, 31, 11, -15],
 [23, -17, 26, 28, -21]]

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


[User]
Find the rank of the matrix:
[[-36, 0, 50, -21, 15],
 [-34, 32, 16, -3, 19],
 [4, -7, 9, -2, 6],
 [48, 3, -39, 27, 15],
 [43, -18, -23, 14, 1]]

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


[User]
Find the rank of the matrix:
[[-12, 4, 18, 16, 28],
 [16, -7, -16, -1, -12],
 [6, -35, -31, 1, 12],
 [-16, 43, 39, -11, -19],
 [16, -12, -25, -12, -23]]

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


[User]
Find the rank of the matrix:
[[15, 34, 0, -32, -3],
 [-18, -19, -26, -20, -12],
 [15, 29, -10, -36, -9],
 [44, 28, -12, -8, -16],
 [19, 17, -27, -34, -20]]

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


[User]
Find the rank of the matrix:
[[-1, 23, 6, 23, -27],
 [15, -15, 15, -15, 15],
 [-13, -7, -15, -3, 11],
 [-5, -11, -21, -21, 13],
 [-26, -20, -33, -13, 29]]

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


[User]
Find the rank of the matrix:
[[20, -15, 15, 20, -20],
 [8, 24, -4, 23, -33],
 [16, 12, 4, 28, -36],
 [24, 12, 8, 39, -49],
 [24, 18, 6, 42, -54]]

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


[User]
What is the rank of the matrix:
[[36, -8, 44, -32, 0],
 [27, 24, 12, -12, 18],
 [21, 12, 14, -12, 10],
 [42, 4, 42, -32, 8],
 [33, 6, 31, -24, 8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -1, 6, 2, 1],
 [-2, -1, 6, 2, 1],
 [10, 5, -30, -10, -5],
 [-10, -5, 30, 10, 5],
 [-4, -2, 12, 4, 2]]

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


[User]
Determine the rank of the following matrix:
[[32, -21, 17, 14, -5],
 [12, -21, -19, -14, -29],
 [6, -18, -24, -18, -30],
 [-16, 18, 6, 4, 18],
 [35, -15, 34, 27, 11]]

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


[User]
Find the rank of the matrix:
[[36, -24, 4, 12, -16],
 [3, 22, 19, -31, -12],
 [-12, -7, -13, 16, 12],
 [3, -23, -16, 29, 8],
 [-9, 6, -1, -3, 4]]

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


[User]
What is the rank of the matrix:
[[43, 20, 12, -24, 18],
 [-41, -19, 16, -5, -31],
 [0, -6, 17, 29, -26],
 [45, 20, -13, -7, 34],
 [7, 7, -36, 33, 24]]?

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


[User]
Find the rank of the matrix:
[[-31, 60, 29, 22, 15],
 [-28, 4, -7, -39, -53],
 [18, -36, -18, -20, -18],
 [-5, -4, -8, -23, -28],
 [29, -50, -31, -38, -35]]

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


[User]
Calculate the rank of matrix A where A =
[[38, -2, 28, 8, -24],
 [39, -3, 33, 3, -30],
 [16, 2, -1, 19, 6],
 [-3, 3, -15, 15, 18],
 [27, 3, 0, 30, 8]]

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


[User]
What is the rank of the matrix:
[[0, -6, 4, -3, -1],
 [0, -18, 12, -9, -3],
 [0, -12, 8, -6, -2],
 [0, 6, -4, 3, 1],
 [0, -30, 20, -15, -5]]?

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


[User]
What is the rank of the matrix:
[[29, 12, 0, 3, 3],
 [5, -39, -34, -21, 29],
 [-12, 11, 27, 24, -36],
 [-23, -40, -10, 10, -12],
 [26, 11, -2, -31, 21]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, -1, -13, 2, -7],
 [0, 7, -15, -12, 3],
 [0, 4, 15, 3, -3],
 [-12, -2, -12, -10, 12],
 [24, -3, -16, 9, -16]]

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


[User]
What is the rank of the matrix:
[[1, 0, -5, -3, -2],
 [1, 0, -5, -3, -2],
 [1, 0, -5, -3, -2],
 [5, 0, -25, -15, -10],
 [-1, 0, 5, 3, 2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[39, 28, -1, 16, -15],
 [-4, 0, 8, 12, 36],
 [29, 20, -3, 8, -21],
 [-25, -20, -5, -20, -15],
 [61, 44, -1, 26, -21]]

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


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

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


[User]
Determine the rank of the following matrix:
[[10, -10, 12, 6, -4],
 [10, -10, 12, 6, -4],
 [-10, 10, -12, -6, 4],
 [20, -20, 24, 12, -8],
 [-15, 15, -18, -9, 6]]

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


[User]
Determine the rank of the following matrix:
[[4, 43, 3, -27, 20],
 [-29, 10, -60, 5, 60],
 [-20, 12, -9, -51, 4],
 [-51, -23, -23, -28, 10],
 [15, 16, 43, -16, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 18, -10, -8, 8],
 [10, 9, -4, 10, 2],
 [-34, -24, 10, -36, -4],
 [-4, 36, -20, -16, 16],
 [-12, 9, -6, -18, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-48, -24, 26, 27, 22],
 [-3, 4, 19, -11, -15],
 [-3, -12, -67, 20, 9],
 [-48, -24, -34, 17, -18],
 [-24, -16, 8, 24, 28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, 35, -28, -25, 42],
 [0, 36, -39, 2, 6],
 [-5, -41, 43, -27, -12],
 [-46, -5, 24, -70, 74],
 [18, 4, -13, 33, -38]]

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


[User]
Determine the rank of the following matrix:
[[-17, -10, 15, -32, -14],
 [-1, -32, 18, -4, -32],
 [-15, -2, -3, -19, -2],
 [1, 46, -24, -25, 54],
 [-13, 4, -10, -36, 12]]

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


[User]
Determine the rank of the following matrix:
[[-14, 0, 17, 9, 0],
 [-36, 4, 61, -3, 24],
 [-13, 38, 35, 21, -4],
 [36, 10, -43, -12, -8],
 [-13, -4, -4, 39, -28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-21, -36, 11, -1, 32],
 [-3, -4, -14, -16, -1],
 [3, 10, 25, 25, 14],
 [30, 48, -11, -9, -7],
 [22, 28, 8, 8, 2]]

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


[User]
Determine the rank of the following matrix:
[[22, 31, 23, -2, 18],
 [-18, -10, -23, 7, -19],
 [34, 16, 14, -18, -16],
 [-12, -4, 1, 17, -3],
 [36, -20, 25, -24, -23]]

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


[User]
Determine the rank of the following matrix:
[[10, -11, 41, -20, -45],
 [16, 14, -14, -30, -2],
 [8, 39, 1, -5, -1],
 [-4, -31, 31, 2, -27],
 [-6, -39, -11, 0, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -4, -15, -15, 1],
 [0, 3, -40, -41, 5],
 [-37, 0, -23, -6, -28],
 [-10, -13, -43, -4, -14],
 [-30, 7, -16, 35, -31]]

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