[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [12, -10, -12, 0, 8],
 [-6, 5, 6, 0, -4],
 [18, -15, -18, 0, 12],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[-33, -14, -6, 43, 13],
 [19, 10, 6, -21, -7],
 [12, 24, 27, 21, 0],
 [-36, -24, -18, 30, 12],
 [-10, 4, 9, 29, 6]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-2, 27, 36, 2, 24],
 [50, -30, -10, -11, 7],
 [-10, 6, -6, 10, -24],
 [57, 34, 36, -36, 50],
 [-14, 21, -20, -26, 0]]

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


[User]
Find the rank of the matrix:
[[8, 20, -24, 16, 0],
 [-8, 4, 12, -4, 30],
 [-6, -19, 20, -14, -5],
 [-16, -32, 44, -28, 10],
 [-10, -21, 28, -18, 5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, 10, -10, 1, -20],
 [4, -52, 44, 22, 32],
 [9, -32, 29, 22, -3],
 [12, 2, -4, 4, -14],
 [-25, -39, 43, 14, 30]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -4, -2, -18, 16],
 [6, 2, 0, -30, 22],
 [-6, -5, -2, 30, -25],
 [-15, 21, 8, 19, -29],
 [-6, 24, 10, -14, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 36, -24, 12, 0],
 [-15, -30, 20, -10, 0],
 [9, 18, -12, 6, 0],
 [-6, -12, 8, -4, 0],
 [-6, -12, 8, -4, 0]]

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


[User]
Determine the rank of the following matrix:
[[-5, 23, 44, -12, -19],
 [-44, -21, 12, 13, -13],
 [-44, 15, 46, -7, -17],
 [36, 22, -26, -26, 6],
 [-45, -78, -26, 61, 8]]

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


[User]
Find the rank of the matrix:
[[30, 12, 24, 0, 9],
 [-12, 12, 10, 7, -12],
 [-10, -28, -36, -10, 9],
 [4, -20, -22, -9, 12],
 [6, -24, -26, -11, 15]]

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


[User]
Determine the rank of the following matrix:
[[27, 9, 20, -18, 8],
 [36, 12, 25, -21, 7],
 [30, 10, 20, -16, 4],
 [-6, -2, -15, 23, -25],
 [42, 14, 25, -17, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 30, 16, -44, 18],
 [0, -9, -3, 18, -3],
 [0, 21, 19, -10, 23],
 [0, -9, -12, -6, -15],
 [0, -18, -24, -12, -30]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, 7, -2, -5, -1],
 [-48, -12, 6, 30, 18],
 [-10, -25, 5, 0, -10],
 [36, 0, -3, -25, -19],
 [-34, 5, 2, 25, 21]]

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


[User]
Calculate the rank of matrix A where A =
[[7, 7, 6, -21, 27],
 [-8, 4, 38, -24, 10],
 [-14, -14, -12, 42, -54],
 [13, -17, -31, 21, -2],
 [-4, 30, 14, -30, 22]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 12, 6, -24, -27],
 [-6, 4, -18, 12, 16],
 [-7, 6, -23, 14, 19],
 [0, 12, -18, 0, 3],
 [6, 0, 12, -12, -15]]

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


[User]
What is the rank of the matrix:
[[4, 0, -4, -1, 5],
 [-24, 0, 24, 6, -30],
 [-8, 0, 8, 2, -10],
 [4, 0, -4, -1, 5],
 [-20, 0, 20, 5, -25]]?

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


[User]
Determine the rank of the following matrix:
[[-28, -24, -7, 20, -22],
 [-28, -16, 7, 4, -3],
 [0, 16, 12, 16, -16],
 [-6, -22, -29, 32, -38],
 [34, 34, 11, -16, 18]]

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


[User]
What is the rank of the matrix:
[[28, 14, 1, 61, 3],
 [36, -26, 18, 20, -54],
 [-4, -18, 61, -13, -19],
 [-46, -9, 37, -49, 24],
 [2, 11, 16, 12, 9]]?

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


[User]
Determine the rank of the following matrix:
[[0, -2, 4, 6, -6],
 [-30, -14, -37, -8, -2],
 [18, 0, 39, 30, -24],
 [0, -8, 16, 24, -24],
 [12, -2, 30, 26, -22]]

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


[User]
What is the rank of the matrix:
[[29, 33, -19, 3, -66],
 [58, 16, 16, -46, -82],
 [-12, -13, -24, 42, 19],
 [41, -31, 50, -67, -17],
 [-29, -18, 23, -15, 56]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 18, -31, 1, -2],
 [-5, -41, -9, -34, 34],
 [32, 15, -20, 22, -4],
 [18, -7, -28, -26, 0],
 [14, -4, -1, 21, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 20, 23, 30, -25],
 [34, 50, 12, 10, -4],
 [1, -15, 16, 25, -24],
 [1, 5, -3, -5, 5],
 [15, 15, 12, 15, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-46, -50, 35, 48, 15],
 [10, -1, -11, 15, 12],
 [20, 12, -18, 0, 6],
 [8, -5, -10, 21, 15],
 [-14, 0, 15, -18, -15]]

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


[User]
Find the rank of the matrix:
[[-18, 4, 14, 1, 1],
 [21, -41, 22, 15, 13],
 [-5, 29, -22, -10, -12],
 [17, 7, -30, -9, -3],
 [-20, 1, 43, 17, -7]]

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


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

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


[User]
Determine the rank of the following matrix:
[[20, -13, -4, 13, 9],
 [10, -12, 20, 12, -34],
 [-30, 18, 12, -18, -24],
 [5, -9, 22, 9, -38],
 [5, -1, -10, 1, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-55, -7, 38, 1, 7],
 [10, -1, -17, 16, 1],
 [-10, -20, 24, -38, -15],
 [34, -5, -31, 28, 0],
 [16, 25, -25, -26, -5]]

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


[User]
Find the rank of the matrix:
[[34, 9, -3, 24, 15],
 [14, 8, 0, 12, 6],
 [-60, 5, 28, -10, -33],
 [-27, 34, 36, 30, -21],
 [12, -10, -23, -22, 12]]

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


[User]
Determine the rank of the following matrix:
[[22, -12, 8, 8, -3],
 [-8, 33, -29, -1, 1],
 [47, -18, 16, 22, -9],
 [-19, -17, 31, 1, -3],
 [22, 16, -20, 8, -2]]

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


[User]
Find the rank of the matrix:
[[-6, -4, -2, 8, -1],
 [54, 48, 6, 12, -3],
 [66, 60, 6, 24, -5],
 [-30, -30, 0, -30, 5],
 [18, 13, 5, -17, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 20, -16, -5, -12],
 [11, -12, 14, 14, 16],
 [14, 12, -4, 11, 4],
 [28, 24, -8, 22, 8],
 [-24, 8, -16, -26, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[20, 0, 30, 50, -38],
 [25, -54, 20, -44, -51],
 [32, 3, 19, -4, 33],
 [-1, 38, -7, 19, 60],
 [2, -14, 4, -6, -22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-66, -75, 15, 9, 30],
 [-4, 12, -1, -30, -58],
 [-6, 1, -39, 20, -46],
 [-32, -40, -38, 50, 4],
 [0, -14, 12, 17, 56]]

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


[User]
Calculate the rank of matrix A where A =
[[24, -22, 21, -4, -33],
 [9, 6, 3, -12, -24],
 [24, 4, -4, 18, 12],
 [-24, 4, -12, 10, 36],
 [-21, 4, -7, -1, 16]]

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


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

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


[User]
Find the rank of the matrix:
[[3, 5, 5, -2, -3],
 [-7, -13, -1, 14, -17],
 [-2, -5, 10, 13, -28],
 [0, -1, 8, 7, -18],
 [-13, -21, -27, 4, 25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -26, -30, 8, -6],
 [31, 9, -15, -8, -19],
 [-25, -9, -5, 20, 7],
 [-32, 5, -25, 53, -7],
 [-6, 34, 10, 20, -6]]

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


[User]
Find the rank of the matrix:
[[2, -5, 30, -14, -22],
 [27, -6, 18, 6, -34],
 [39, -34, -14, 22, -50],
 [-16, 0, 3, -11, 12],
 [-33, 24, 6, -15, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, 33, -44, -47, -18],
 [-28, -15, -16, -6, -48],
 [-30, -33, 28, 24, 2],
 [-7, 9, -38, -67, -17],
 [10, 21, -36, -19, -38]]

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


[User]
Determine the rank of the following matrix:
[[-35, 10, 25, 35, 45],
 [7, -29, -13, 7, 6],
 [-19, 17, 17, 13, 18],
 [-10, 26, 14, -2, 0],
 [16, 7, -8, -22, -27]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 12, 4, -4, -12],
 [12, 27, 19, -16, -21],
 [12, 17, 9, -8, -15],
 [36, 11, -13, 8, -21],
 [-12, 13, 21, -16, -3]]

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


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

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


[User]
What is the rank of the matrix:
[[-19, -28, 48, -26, -18],
 [-31, 5, 48, -23, 0],
 [10, -57, 12, 1, -22],
 [8, 7, 1, -39, -28],
 [44, -20, -59, 24, -10]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-39, -5, 14, 38, 6],
 [-30, 20, 0, 55, 20],
 [-19, -13, 26, 10, -14],
 [-26, 13, 7, 44, 11],
 [35, -1, 0, -38, -16]]

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


[User]
Find the rank of the matrix:
[[-21, -7, 10, -32, -2],
 [5, 1, 12, 12, -26],
 [-13, 37, -34, -36, -20],
 [27, 10, -3, 44, -19],
 [0, 10, -10, -4, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [25, -30, 25, 30, -25],
 [20, -24, 20, 24, -20],
 [20, -24, 20, 24, -20],
 [-30, 36, -30, -36, 30]]

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


[User]
What is the rank of the matrix:
[[-10, -13, -4, -3, 8],
 [40, 35, 5, 20, -25],
 [-26, -27, -6, -11, 18],
 [-38, -12, 9, -29, 15],
 [36, 6, -12, 30, -12]]?

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


[User]
Find the rank of the matrix:
[[-24, 0, 36, 12, 30],
 [-20, 36, 0, -20, 1],
 [-8, 18, -3, -11, -2],
 [-36, 18, 39, 3, 33],
 [-32, 12, 38, 6, 32]]

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


[User]
Calculate the rank of matrix A where A =
[[-27, -23, -24, 23, 14],
 [4, 2, 2, -21, -24],
 [10, -2, 23, -18, 14],
 [-40, -10, -32, 59, 44],
 [20, 6, 23, -33, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -9, 3, 12, -15],
 [4, 3, -1, -4, 5],
 [-20, -15, 5, 20, -25],
 [24, 18, -6, -24, 30],
 [-16, -12, 4, 16, -20]]

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


[User]
Determine the rank of the following matrix:
[[29, 52, -21, 30, 29],
 [30, 73, -53, 50, 23],
 [7, 3, -6, -20, -10],
 [14, 68, -13, 4, 10],
 [4, -19, -24, -2, -15]]

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


[User]
Determine the rank of the following matrix:
[[-50, 55, 61, -8, -13],
 [12, -15, -15, 12, 15],
 [-44, 50, 54, -16, -22],
 [-26, 25, 31, 16, 17],
 [8, -10, -10, 8, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[31, 34, -12, 11, -12],
 [-26, -35, 18, -13, 15],
 [7, -6, 28, 23, 12],
 [-9, -8, 14, 24, 6],
 [-4, 0, 2, 13, 0]]

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


[User]
Find the rank of the matrix:
[[-12, -4, -6, 26, -22],
 [9, 3, 18, 12, -6],
 [-6, -2, -6, 6, -6],
 [-15, -5, -21, 1, -5],
 [-12, -4, -24, -16, 8]]

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


[User]
Determine the rank of the following matrix:
[[1, 11, 45, 51, 44],
 [-37, 66, 43, -4, -19],
 [-5, -10, 54, 17, 55],
 [35, -44, 16, 1, 53],
 [29, -10, -50, -43, -38]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[12, -32, 36, 0, 12],
 [32, -52, 54, 14, -10],
 [-14, -16, 6, 48, 34],
 [12, -32, 18, 66, -6],
 [8, -28, 15, 61, -1]]?

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


[User]
Find the rank of the matrix:
[[0, -10, -50, 5, -35],
 [-34, 10, 19, 4, 50],
 [-18, 16, 22, -25, -19],
 [-10, -9, 26, -4, -13],
 [0, 25, 34, -39, -36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, 16, -4, 34, -12],
 [14, -6, -16, -46, 8],
 [-37, 39, -38, 2, 6],
 [-31, 29, -10, 36, 1],
 [52, -52, 16, -64, -6]]

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


[User]
Determine the rank of the following matrix:
[[-19, -14, 23, 12, -17],
 [5, 6, -1, 4, -1],
 [-1, 1, 5, 6, -5],
 [33, 22, -45, -28, 35],
 [-4, 4, 20, 24, -20]]

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


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

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


[User]
What is the rank of the matrix:
[[19, -2, 26, -37, -18],
 [19, -42, -25, 20, -6],
 [34, -36, 22, -11, 6],
 [-11, -7, -22, 19, -12],
 [28, -12, -1, 5, 48]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 16, 0, 8, 16],
 [-30, -20, 0, -10, -20],
 [-24, -16, 0, -8, -16],
 [-6, -4, 0, -2, -4],
 [-12, -8, 0, -4, -8]]

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


[User]
What is the rank of the matrix:
[[12, 60, -2, 16, 44],
 [-9, 27, 5, 23, 20],
 [-21, 27, 4, 52, 23],
 [-24, -8, 31, -24, -12],
 [66, 42, -48, 24, 46]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[31, -15, -8, -1, -8],
 [-11, 9, 16, -25, 13],
 [34, -12, 10, -10, 4],
 [53, -14, 37, -13, 20],
 [-34, 11, -15, 6, -7]]

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


[User]
What is the rank of the matrix:
[[54, -6, 4, 44, -42],
 [-48, -2, 22, -4, 8],
 [0, -5, -1, 13, -1],
 [20, 3, 3, 3, -15],
 [80, 3, -9, 24, -42]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[52, 32, -2, 21, -22],
 [10, 6, 8, -11, 14],
 [35, 11, 3, 19, 4],
 [31, 23, 13, -18, 14],
 [-9, -1, -19, 26, -42]]

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


[User]
Determine the rank of the following matrix:
[[17, 22, -15, -30, 28],
 [-17, -23, 18, 36, -37],
 [-14, -18, 12, 24, -22],
 [-21, -26, 15, 30, -24],
 [-9, -13, 12, 24, -27]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -11, 3, 17, 20],
 [6, -3, 3, 7, 8],
 [-36, -18, -18, 3, 6],
 [24, -16, 12, 33, 38],
 [18, 3, 9, 6, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 4, 7, 1, -7],
 [-2, 20, 1, -1, -1],
 [28, 0, -34, -6, 34],
 [2, 8, -3, -1, 3],
 [22, -10, -26, -4, 26]]

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


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

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


[User]
What is the rank of the matrix:
[[-34, 50, -10, -19, 15],
 [-33, -30, 51, 51, -57],
 [-9, -4, 14, 12, -13],
 [-15, -28, 26, 35, -41],
 [-21, -38, 34, 39, -44]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, -2, 10, 13, -7],
 [-4, 14, -16, -16, 10],
 [3, -12, 6, 3, -3],
 [0, -4, -16, -24, 12],
 [6, -29, -8, -24, 9]]

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


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

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


[User]
Find the rank of the matrix:
[[-1, 2, -4, -3, -6],
 [-5, 10, -20, -15, -30],
 [-2, 4, -8, -6, -12],
 [2, -4, 8, 6, 12],
 [4, -8, 16, 12, 24]]

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


[User]
Determine the rank of the following matrix:
[[1, -3, 11, -7, -9],
 [2, -6, 14, -4, -10],
 [1, -3, -17, 28, 19],
 [-2, 6, 6, -21, -10],
 [-5, 15, -27, 0, 17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-42, 40, -60, 34, -2],
 [-53, 46, -69, 35, -21],
 [-5, 16, 8, -51, 23],
 [56, -46, 62, -16, 38],
 [-25, 17, -19, -7, -34]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 5, -6, -2, -4],
 [-3, 3, -12, -6, -27],
 [-1, 5, 8, 6, 37],
 [-22, 40, -34, -8, 9],
 [19, -33, 34, 10, 10]]

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


[User]
Determine the rank of the following matrix:
[[18, -55, 0, 19, -18],
 [-20, 66, -24, 10, 8],
 [2, -27, 16, 13, -36],
 [12, -27, 2, -8, 13],
 [-16, 28, 16, -6, -18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[40, 45, 5, -25, -35],
 [0, 0, 0, 0, 0],
 [-24, -42, -14, 6, 22],
 [0, -15, -11, -9, 1],
 [10, -15, -18, -22, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 15, 38, -45, 54],
 [-2, -12, -25, 27, -36],
 [27, 9, 6, 1, 10],
 [-12, 0, 6, -10, 8],
 [30, 0, -15, 25, -20]]

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


[User]
Determine the rank of the following matrix:
[[-4, 28, -15, 22, -44],
 [-31, 7, 17, -27, 8],
 [9, -49, -32, -29, -44],
 [1, -9, -36, 3, -92],
 [2, 28, 28, 33, 10]]

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


[User]
What is the rank of the matrix:
[[8, 4, -6, 10, -4],
 [-8, 4, 1, -4, 8],
 [-44, 18, 8, -25, 42],
 [-36, 30, -3, -9, 42],
 [32, -8, -9, 22, -28]]?

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


[User]
Determine the rank of the following matrix:
[[5, -4, 25, 13, 12],
 [14, -28, 2, 19, -30],
 [-21, 12, 7, 9, 0],
 [-21, 0, -12, 12, -30],
 [-18, -12, 20, 39, -30]]

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


[User]
What is the rank of the matrix:
[[8, 32, 7, 10, -17],
 [-36, -4, -49, -10, -11],
 [-36, 4, -50, -8, -16],
 [-16, 8, -23, -2, -11],
 [12, -4, 17, 2, 7]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, 11, -15, -14, 5],
 [56, -7, 40, 70, -16],
 [-10, -2, 5, -6, 21],
 [38, -9, 12, 24, 2],
 [-56, 9, -29, -55, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, -15, -33, -20, -24],
 [9, 45, -13, 45, -4],
 [-30, -9, -31, -12, -27],
 [48, 12, 36, 28, -10],
 [6, -3, 3, 2, -14]]

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


[User]
Find the rank of the matrix:
[[-20, -11, -12, 20, -23],
 [29, 14, 37, -29, 16],
 [-31, 11, -13, 31, -12],
 [-14, -11, -14, 14, -15],
 [26, -13, -4, -26, 18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-2, 12, 2, -12, 4],
 [25, -26, -1, 6, -14],
 [27, 24, 9, -54, 0],
 [25, 5, 5, -30, -5],
 [24, 11, 6, -36, -3]]

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[User]
Calculate the rank of matrix A where A =
[[33, -31, 21, -14, -41],
 [3, -21, -39, 26, 19],
 [-6, 6, -3, 2, 7],
 [-36, 36, -18, 12, 42],
 [12, 0, 33, -22, -29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -50, -45, -15, -30],
 [18, 22, 15, 22, 12],
 [-29, 38, 36, 10, 42],
 [-12, 12, 11, 5, 16],
 [34, -52, -50, -10, -52]]

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


[User]
Find the rank of the matrix:
[[-22, 87, 18, 33, -30],
 [13, 66, -25, 46, -76],
 [15, -9, -19, -3, -14],
 [14, -21, 44, -3, 40],
 [20, -15, -20, 5, -20]]

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[User]
What is the rank of the matrix:
[[23, 37, -61, 13, -18],
 [25, 3, -25, 22, 1],
 [-28, -6, 20, -37, -37],
 [-6, 60, -12, -36, -36],
 [-17, -71, 21, 18, 23]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, 4, -34, -10, -40],
 [8, -4, 24, 8, 28],
 [4, 4, -4, -4, -4],
 [4, 1, 4, 0, 5],
 [11, 5, 5, -3, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, 6, -35, -15, -9],
 [23, -4, 25, 15, 11],
 [7, -2, 11, 3, 1],
 [-5, 4, -19, 3, 7],
 [-2, 1, -5, 0, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[52, 32, -10, -34, -38],
 [2, -2, 19, 10, 5],
 [-24, -12, -12, 6, 12],
 [-16, -10, 4, 11, 12],
 [54, 32, -3, -31, -37]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[36, 10, 8, -2, 5],
 [9, -38, -1, -8, -1],
 [-24, -10, -4, 26, -13],
 [33, 20, 9, 14, 0],
 [9, -8, 2, 10, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[1, -6, 0, 5, -3],
 [-3, 18, 0, -15, 9],
 [0, 0, 0, 0, 0],
 [4, -24, 0, 20, -12],
 [5, -30, 0, 25, -15]]

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


[User]
What is the rank of the matrix:
[[3, -26, -28, -18, 21],
 [12, -12, -5, -27, -20],
 [51, 34, -21, -33, -35],
 [-12, 8, -2, 26, 28],
 [39, 24, -41, -17, 9]]?

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


[User]
What is the rank of the matrix:
[[-22, 0, 19, -9, 14],
 [-19, -1, -38, 34, -12],
 [42, 18, -6, 18, 6],
 [6, -12, -57, 27, -39],
 [-7, 23, -8, 40, 24]]?

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


[User]
Determine the rank of the following matrix:
[[-30, -46, -18, 34, 20],
 [15, 13, -3, -19, -20],
 [30, 6, -30, -42, -60],
 [20, 29, 10, -23, -15],
 [10, 7, -4, -13, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, -22, -2, 24, 28],
 [-73, -5, -46, 29, -15],
 [34, 2, 4, -8, 6],
 [-5, -18, 16, 18, 36],
 [-28, -26, 6, -44, -8]]

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


[User]
Determine the rank of the following matrix:
[[10, 3, 1, -2, 0],
 [9, -3, -1, 16, -4],
 [11, -25, 15, 26, -26],
 [10, -5, 15, -20, -10],
 [-26, 3, 7, -44, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 64, 61, 36, -42],
 [24, -20, -12, -27, 21],
 [25, -14, -7, -14, 16],
 [31, -87, -74, -19, 19],
 [-2, 3, 3, 7, -29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, 51, -8, 39, 37],
 [-4, -48, 3, -38, -40],
 [10, 6, -17, 0, -14],
 [6, -6, -11, -8, -18],
 [-9, 3, 16, 7, 21]]

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


[User]
Calculate the rank of matrix A where A =
[[31, -3, 6, 23, 12],
 [-2, 16, 24, -6, 20],
 [-18, 39, 54, -24, 42],
 [24, 18, 36, 12, 36],
 [-9, 2, 0, -7, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 0, 16, -8, 16],
 [15, 0, 12, -6, 12],
 [0, 0, 0, 0, 0],
 [-20, 0, -16, 8, -16],
 [5, 0, 4, -2, 4]]

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


[User]
What is the rank of the matrix:
[[42, 44, 43, 9, -45],
 [-57, -96, -88, -10, 51],
 [-6, -70, -57, 4, 10],
 [18, -22, -18, 23, -18],
 [27, 60, 51, 11, -32]]?

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


[User]
What is the rank of the matrix:
[[-11, 26, 22, -4, 14],
 [0, -22, 11, 22, -30],
 [-21, 49, 31, -13, 33],
 [-49, 24, 9, 1, 22],
 [10, 23, 20, -9, 11]]?

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


[User]
Determine the rank of the following matrix:
[[14, 4, 0, -36, 20],
 [15, 2, -16, 14, -38],
 [31, 5, -27, 9, -56],
 [12, 3, -3, -21, 6],
 [-19, -5, 3, 39, -16]]

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


[User]
Determine the rank of the following matrix:
[[0, -3, 0, -17, 3],
 [39, 8, 39, -24, 31],
 [18, -3, 18, -49, 21],
 [24, 1, 24, -37, 23],
 [27, 6, 27, -14, 21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, 16, -15, 2, 6],
 [15, -3, 2, -29, 28],
 [18, -4, -14, -16, 44],
 [-22, 35, -35, 15, 26],
 [-22, 11, -11, 9, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -24, 4, 31, -14],
 [-20, -26, 5, 1, -16],
 [-34, -44, -1, 43, -10],
 [-48, -20, -15, 33, -5],
 [-14, -50, 20, -2, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-17, 4, 29, -23, 27],
 [24, 12, -12, -12, 12],
 [0, 0, 0, 0, 0],
 [6, 8, -6, -14, 10],
 [14, 6, 16, -8, 20]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -18, 0, -2, 8],
 [2, 43, 11, 11, -33],
 [-46, 4, 32, -6, -19],
 [-16, -25, 7, -7, 10],
 [26, -19, 10, 15, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-26, -35, -13, 6, 0],
 [-22, -22, 19, -34, 7],
 [70, -3, 7, -24, 36],
 [12, -15, -32, 15, -23],
 [14, 57, -19, 38, -44]]

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


[User]
Determine the rank of the following matrix:
[[6, 6, 18, 17, 3],
 [-6, 27, 40, 27, 28],
 [11, 54, 68, 37, 10],
 [3, 66, 76, 37, 22],
 [2, -21, -36, -27, -22]]

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


[User]
What is the rank of the matrix:
[[12, 41, -53, 27, 22],
 [10, 27, -33, 31, 32],
 [7, -12, 9, 28, 44],
 [-3, -32, 45, 15, 31],
 [5, 35, -50, -10, -25]]?

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


[User]
Calculate the rank of matrix A where A =
[[6, -4, -24, 35, -12],
 [27, -18, 7, -15, -8],
 [-42, 28, 18, -20, 24],
 [-39, 26, 21, -25, 24],
 [3, -2, -27, 40, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [24, -6, 36, 18, 12],
 [8, -2, 12, 6, 4],
 [-4, 1, -6, -3, -2],
 [-16, 4, -24, -12, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[-6, 12, 9, -18, -9],
 [10, -20, -15, 30, 15],
 [0, 0, 0, 0, 0],
 [-4, 8, 6, -12, -6],
 [10, -20, -15, 30, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-38, 18, -55, -20, 22],
 [10, 43, -5, -36, -4],
 [12, 7, 14, -4, -8],
 [-28, -17, -21, 14, 9],
 [-30, -33, -27, 24, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, -30, -20, 15, 30],
 [-30, 36, 24, -18, -36],
 [25, -30, -20, 15, 30],
 [5, -6, -4, 3, 6],
 [-15, 18, 12, -9, -18]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, 5, 38, -35, 40],
 [-38, -9, 36, -47, 52],
 [-15, -2, 37, -27, 26],
 [38, 29, -28, 51, -52],
 [37, 43, -35, 58, -54]]

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


[User]
Determine the rank of the following matrix:
[[21, 24, 0, -42, 33],
 [48, 24, 0, -24, 42],
 [20, 4, 0, 4, 11],
 [30, 24, 0, -36, 36],
 [13, 20, 0, -38, 26]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, 2, 2, 0, -8],
 [30, -6, -6, 0, 24],
 [20, -4, -4, 0, 16],
 [25, -5, -5, 0, 20],
 [-15, 3, 3, 0, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[26, 22, -21, -39, 18],
 [-32, -20, 1, 33, -16],
 [-38, -10, -48, -14, -4],
 [-4, -10, -28, 14, -23],
 [-42, -2, 2, 8, 22]]

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


[User]
What is the rank of the matrix:
[[-39, 12, -58, -22, -24],
 [5, 4, 2, 14, 2],
 [32, 0, 38, 30, 19],
 [4, 30, -24, -10, 8],
 [41, -28, 76, 0, 27]]?

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


[User]
Determine the rank of the following matrix:
[[-16, 29, 17, -51, -55],
 [29, 27, -19, 29, 60],
 [-1, -43, -6, -5, -15],
 [7, -37, -18, -23, -23],
 [7, 69, 7, -8, 15]]

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


[User]
Determine the rank of the following matrix:
[[36, 12, 13, 21, -50],
 [5, 10, -10, 30, -25],
 [18, -12, 32, -48, 14],
 [7, -10, 20, -36, 17],
 [-14, -4, -6, -6, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 0, -14, 11, 9],
 [5, -13, 11, -4, 5],
 [0, -16, -8, 12, 20],
 [7, -31, 9, 4, 23],
 [-3, 23, 1, -9, -22]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -29, 0, 1, -25],
 [-9, 6, 6, 0, 24],
 [-26, 26, 6, -28, 64],
 [28, -4, -12, 8, -48],
 [-16, 10, -3, -29, 23]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 1, -4, -5, 6],
 [-5, -5, 20, 25, -30],
 [1, 1, -4, -5, 6],
 [4, 4, -16, -20, 24],
 [5, 5, -20, -25, 30]]

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


[User]
What is the rank of the matrix:
[[20, 20, -8, 20, 12],
 [5, 5, -2, 5, 3],
 [30, 30, -12, 30, 18],
 [0, 0, 0, 0, 0],
 [25, 25, -10, 25, 15]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-13, -28, -11, 36, 27],
 [26, 26, 22, -47, -34],
 [-10, 17, 36, -9, -52],
 [-7, -22, 15, 23, -3],
 [20, 23, 30, -40, -42]]

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


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

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


[User]
Find the rank of the matrix:
[[5, -22, -2, 22, -8],
 [45, 12, -21, 24, -42],
 [-10, 14, 18, -6, -36],
 [15, 4, -20, 28, -38],
 [0, -25, -4, 29, -15]]

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


[User]
Determine the rank of the following matrix:
[[0, 6, 36, 36, 30],
 [0, -3, -18, -18, -15],
 [0, -1, -6, -6, -5],
 [0, 3, 18, 18, 15],
 [0, 5, 30, 30, 25]]

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


[User]
Calculate the rank of matrix A where A =
[[-26, 4, -6, 10, 5],
 [32, -4, 4, -16, -8],
 [16, -2, 2, -8, -4],
 [-8, 4, -12, -8, -4],
 [-18, 3, -5, 6, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 3, 48, -58, -4],
 [-11, -37, 25, -78, -41],
 [-3, -6, 27, -36, 0],
 [-5, -19, 24, -38, 4],
 [9, 33, -25, 62, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[-43, -12, 44, 8, -22],
 [29, 31, -23, -11, 34],
 [17, -44, -54, -10, -20],
 [34, 34, 0, -24, 18],
 [-26, -38, -36, -4, -6]]

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


[User]
What is the rank of the matrix:
[[14, -28, -10, -22, 6],
 [-32, 17, -43, -15, 25],
 [-12, 33, -16, -36, 54],
 [20, -39, -2, -6, -8],
 [-18, -4, -18, 2, -34]]?

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


[User]
Determine the rank of the following matrix:
[[-17, -12, -13, 31, -19],
 [-39, -35, -40, 5, 15],
 [21, -19, 4, -23, -21],
 [-8, 2, 3, 29, -22],
 [5, 12, -2, 29, -8]]

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


[User]
Determine the rank of the following matrix:
[[17, 1, 12, -35, -36],
 [2, 19, 1, -10, 19],
 [1, 18, 28, -4, 6],
 [18, -14, -35, 15, -12],
 [18, -30, -43, 7, -32]]

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


[User]
What is the rank of the matrix:
[[-2, -4, 9, 11, -18],
 [-6, -6, 18, 12, -42],
 [-31, 37, 45, 49, -27],
 [12, -6, -15, 14, 42],
 [-2, -6, 12, 18, -22]]?

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


[User]
Calculate the rank of matrix A where A =
[[4, -63, -9, -16, -47],
 [-24, 7, -28, 26, 26],
 [20, -37, 31, -20, -27],
 [4, 66, 15, 6, 37],
 [16, 9, 27, -12, -2]]

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


[User]
Find the rank of the matrix:
[[20, 21, -3, 21, -13],
 [-24, -21, 15, -33, -31],
 [-9, -12, -3, -15, -13],
 [-50, -57, 3, -75, -59],
 [35, 30, -21, 39, 5]]

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


[User]
Find the rank of the matrix:
[[-24, 3, 12, -36, 27],
 [-2, -5, -5, 9, 0],
 [-14, 0, 5, -17, 15],
 [-24, -18, -12, 12, 18],
 [0, -7, -8, 16, -3]]

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


[User]
Determine the rank of the following matrix:
[[4, 13, 5, -7, -3],
 [22, -16, 10, -36, 16],
 [27, -19, 16, -37, 14],
 [-7, -14, -5, 16, -1],
 [18, -22, 16, -10, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 43, 42, 54, 11],
 [25, -30, -18, -38, -8],
 [26, -9, 18, -10, -1],
 [-15, 9, 0, 12, 3],
 [13, -31, -48, -44, -13]]

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


[User]
What is the rank of the matrix:
[[5, 5, 6, -18, 4],
 [-22, -22, -42, -4, -28],
 [16, 16, 33, 16, 22],
 [-16, -16, -27, 16, -18],
 [21, 21, 39, -2, 26]]?

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[User]
What is the rank of the matrix:
[[-2, -1, 6, 3, -5],
 [13, 4, -36, -18, 24],
 [-4, 3, 6, 3, 7],
 [-6, -8, 24, 12, -32],
 [2, -9, 6, 3, -29]]?

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[User]
Calculate the rank of matrix A where A =
[[-5, 4, 6, 4, 2],
 [-10, 8, 12, 8, 4],
 [10, -8, -12, -8, -4],
 [10, -8, -12, -8, -4],
 [-30, 24, 36, 24, 12]]

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


[User]
What is the rank of the matrix:
[[-8, 7, 35, 36, -6],
 [-8, 1, 29, 28, -2],
 [10, 22, -13, -4, -13],
 [10, 25, -10, 0, -15],
 [-8, -5, 23, 20, 2]]?

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


[User]
Find the rank of the matrix:
[[4, 4, -12, -6, -6],
 [-10, 10, -6, -13, -5],
 [8, 12, -12, -26, -13],
 [-24, -2, -6, 22, 8],
 [38, -14, -14, 13, -4]]

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

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, -28, -8, 0, -12],
 [12, -14, -4, 0, -6],
 [-1, -23, -3, 20, 3],
 [-9, 25, 5, -12, 3],
 [-26, 40, 10, -8, 12]]

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[User]
What is the rank of the matrix:
[[40, 13, 34, 12, 35],
 [-8, -8, -6, 12, 8],
 [-4, 5, -12, 51, 48],
 [4, -50, 22, 39, 47],
 [-52, -16, -48, 15, -15]]?

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[User]
What is the rank of the matrix:
[[-2, -5, 1, 9, 9],
 [-8, -3, 9, 1, -1],
 [-5, -21, 0, 40, 41],
 [-20, 1, 25, -15, -21],
 [11, 19, -8, -32, -31]]?

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[User]
Determine the rank of the following matrix:
[[-24, -15, 0, -6, -12],
 [-22, 5, -18, 2, 4],
 [-24, -15, 0, -6, -12],
 [2, 20, -18, 8, 16],
 [16, 35, -24, 14, 28]]

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

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


[User]
Calculate the rank of matrix A where A =
[[-24, 4, -6, 12, 8],
 [4, 1, 6, -12, 7],
 [-12, 6, 9, -18, 24],
 [-16, 6, 6, -12, 22],
 [-16, 4, 0, 0, 12]]

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


[User]
Find the rank of the matrix:
[[12, 10, -8, -4, 12],
 [-36, -30, 24, 12, -36],
 [24, 20, -16, -8, 24],
 [-24, -20, 16, 8, -24],
 [-30, -25, 20, 10, -30]]

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[User]
What is the rank of the matrix:
[[0, 6, -12, 12, 8],
 [0, 9, -18, 18, 12],
 [0, -12, 24, -24, -16],
 [0, -9, 18, -18, -12],
 [0, -12, 24, -24, -16]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-24, -2, 29, -55, 33],
 [-32, 6, 37, -31, 21],
 [-28, -14, 9, 21, -16],
 [-38, -36, 3, 11, -16],
 [15, 31, 2, 44, -18]]

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[User]
What is the rank of the matrix:
[[16, -20, 8, 24, -16],
 [21, -20, 2, 21, -16],
 [-41, 20, 22, -9, 16],
 [17, 10, -34, -27, 8],
 [24, -30, 12, 36, -24]]?

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[User]
Find the rank of the matrix:
[[-21, -29, 27, -9, 11],
 [17, 35, -29, 21, 17],
 [-30, -18, 30, -72, -6],
 [25, 27, -29, 24, -11],
 [-16, -30, 26, -24, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -48, -40, -26, 4],
 [12, -36, 1, 10, -33],
 [36, -2, -35, -33, -25],
 [6, -19, 46, 27, -64],
 [-45, -27, 16, -11, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 35, 3, 2, -65],
 [11, 50, -7, 6, -85],
 [9, 28, -4, 4, 41],
 [-22, 37, -40, -35, -60],
 [-24, -38, -1, -21, 38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 60, 9, 10, 21],
 [25, 33, -8, -19, -4],
 [-46, 14, 33, 44, 22],
 [-21, -58, 14, 22, -14],
 [21, 34, -11, -20, 2]]

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


[User]
What is the rank of the matrix:
[[-14, -44, -9, 10, 29],
 [-31, -28, -11, -28, 14],
 [-9, 12, 1, -24, -8],
 [-8, 30, -3, -30, -31],
 [36, 24, 51, 6, 51]]?

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

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


[User]
Find the rank of the matrix:
[[0, 46, -3, -4, -29],
 [33, 28, 31, 36, -9],
 [-60, -23, -33, -41, 15],
 [-15, -31, -16, 1, 35],
 [39, 23, 36, 35, -13]]

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


[User]
Find the rank of the matrix:
[[9, 1, -37, -38, -13],
 [12, -4, 2, -24, 58],
 [3, 5, -28, -36, -2],
 [27, -21, 3, 6, 27],
 [-27, 23, -11, -16, -29]]

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


[User]
Find the rank of the matrix:
[[-24, 18, 18, -12, 30],
 [-12, 9, 9, -6, 15],
 [-16, 12, 12, -8, 20],
 [-16, 12, 12, -8, 20],
 [20, -15, -15, 10, -25]]

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


[User]
What is the rank of the matrix:
[[22, -6, -10, 6, -12],
 [-42, 18, 22, -18, -4],
 [18, -18, -14, 18, 44],
 [22, -15, -14, 15, 25],
 [-36, 18, 20, -18, -14]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 3, -26, 28, 36],
 [25, -15, 5, 10, -30],
 [24, -12, -16, 32, 0],
 [27, -15, -5, 22, -18],
 [-2, 0, 10, -12, -12]]

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[User]
Calculate the rank of matrix A where A =
[[-14, 4, -38, 31, 16],
 [27, 0, 45, -36, -27],
 [-19, 2, -43, 35, 20],
 [16, -20, 28, -20, -26],
 [8, 28, 36, -34, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 17, 6, 28, -20],
 [12, -25, 42, -20, 13],
 [-18, 12, 9, 6, -12],
 [-20, 11, 21, 6, -14],
 [-44, 45, -9, 34, -38]]

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


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

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


[User]
Determine the rank of the following matrix:
[[3, 12, 0, -6, 18],
 [5, 20, 0, -10, 30],
 [3, 12, 0, -6, 18],
 [-1, -4, 0, 2, -6],
 [5, 20, 0, -10, 30]]

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


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

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[User]
Calculate the rank of matrix A where A =
[[-67, -23, -50, 58, -26],
 [-13, -5, -3, 12, 7],
 [13, 9, 34, -6, 42],
 [9, 1, 11, -8, 13],
 [-4, 4, 0, 6, -2]]

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


[User]
What is the rank of the matrix:
[[8, 10, 41, -45, -21],
 [25, -43, 42, -25, -18],
 [4, -46, 19, -13, -19],
 [-15, 23, -9, 14, -7],
 [-24, 48, -60, 36, 36]]?

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


[User]
What is the rank of the matrix:
[[2, 27, 22, 14, -20],
 [32, 21, -20, -14, 24],
 [-4, 0, -26, -18, -10],
 [-12, -18, -24, -16, -4],
 [-5, -45, -10, -5, 35]]?

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


[User]
Find the rank of the matrix:
[[60, -14, -32, -52, 40],
 [32, 3, -31, -5, 34],
 [-24, -3, 43, -15, -26],
 [-4, -7, 25, -25, -12],
 [26, -15, -26, -20, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 32, 0, 27, -11],
 [6, 12, 14, 9, -3],
 [-7, 25, -12, 24, 3],
 [-39, 21, -16, 18, -15],
 [4, -25, 45, -30, -22]]

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


[User]
What is the rank of the matrix:
[[36, 2, -46, 56, -16],
 [0, 7, 37, -20, -2],
 [-26, -9, 47, -36, 4],
 [-17, 4, 21, -32, 11],
 [-21, 14, 13, -46, 22]]?

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


[User]
What is the rank of the matrix:
[[9, -48, -17, 16, -3],
 [0, 27, 21, -27, 15],
 [12, 25, 11, -25, 1],
 [-15, 13, -26, 43, -35],
 [-12, 14, -14, 26, -21]]?

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -34, -8, -10, 8],
 [18, 22, 5, 8, -6],
 [18, 36, 9, 6, -6],
 [6, 5, 1, 3, -2],
 [-24, 8, 4, -16, 8]]

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


[User]
Determine the rank of the following matrix:
[[20, -20, -5, 25, -15],
 [24, -24, -6, 30, -18],
 [-16, 16, 4, -20, 12],
 [-4, 4, 1, -5, 3],
 [-16, 16, 4, -20, 12]]

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


[User]
Determine the rank of the following matrix:
[[3, 29, -12, -8, -26],
 [-22, 1, -15, -28, 2],
 [4, 23, 6, -5, -31],
 [-32, -7, -3, -38, 0],
 [-13, -7, 6, -14, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[23, 9, 53, -42, -30],
 [-23, -21, -17, 22, 14],
 [-26, -27, -17, -2, 14],
 [-11, -17, 11, -6, -2],
 [-17, -24, 10, -6, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 25, 20, -40, -7],
 [9, -10, 34, 0, 0],
 [-9, -8, -22, 20, 29],
 [-19, 8, -30, 3, -17],
 [27, 9, 30, -28, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[80, 39, -2, 36, 16],
 [-43, 1, -14, -14, -7],
 [34, -11, 2, 10, 6],
 [-16, -10, -34, -1, 34],
 [33, -6, -12, 12, 9]]

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


[User]
What is the rank of the matrix:
[[12, 20, 8, -16, 2],
 [-38, -22, -51, -9, 13],
 [-24, -52, -25, 23, -14],
 [24, 24, 24, -12, -4],
 [44, 48, 62, 5, 0]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-35, -49, 16, 76, -19],
 [-10, -16, -2, 23, -3],
 [3, 37, -34, -12, -7],
 [26, 90, 10, -36, -40],
 [-10, -31, 25, 10, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 50, -19, -60, 24],
 [-1, -38, 6, 25, 23],
 [2, 36, -17, -27, -25],
 [6, 49, 22, -2, -34],
 [3, -18, -20, 8, 8]]

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


[User]
Determine the rank of the following matrix:
[[-21, -16, -13, 4, -12],
 [1, -6, -22, 13, -27],
 [12, 43, -16, 31, 12],
 [4, 22, 5, 5, 29],
 [1, -13, 20, -20, 3]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, 27, -4, -10, -9],
 [29, -7, 15, -20, 36],
 [-37, 17, -12, 13, -39],
 [-59, 25, -15, 19, -62],
 [33, -25, 34, -23, 37]]

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


[User]
What is the rank of the matrix:
[[-55, -15, -45, -25, -15],
 [38, 6, 5, -2, 33],
 [-13, -36, 20, -8, -8],
 [-3, 22, -7, 9, -4],
 [-46, 10, -2, 16, -52]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, 3, 17, 4, -11],
 [42, 35, -1, 28, 49],
 [-40, -42, -24, -28, -54],
 [46, 12, 43, 44, 14],
 [12, 31, -16, 24, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 24, -12, 4, 0],
 [-8, -7, 2, -2, -4],
 [17, 25, -11, 5, 4],
 [13, -19, 17, 1, 20],
 [-30, -33, 12, -8, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-67, -26, -13, 6, 17],
 [-42, -45, 45, 32, 43],
 [-90, -51, 22, 19, 54],
 [-20, -45, 50, 39, 34],
 [-4, -5, 4, 13, -6]]

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


[User]
What is the rank of the matrix:
[[-12, 24, 3, 2, -25],
 [23, -2, 2, 16, 26],
 [8, -5, 5, 34, -4],
 [-10, -2, -4, -24, -2],
 [-32, 20, 0, -16, -44]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, 6, 62, 11, 15],
 [39, -17, 32, 13, -2],
 [-43, 27, 34, -14, 0],
 [17, -27, 4, 49, 54],
 [39, -7, 34, -10, -31]]

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


[User]
What is the rank of the matrix:
[[4, -3, -3, -1, 6],
 [-20, 15, 15, 5, -30],
 [-4, 3, 3, 1, -6],
 [12, -9, -9, -3, 18],
 [-24, 18, 18, 6, -36]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[38, -44, -11, -22, -8],
 [27, -28, -16, 5, -8],
 [24, 45, 18, 34, -11],
 [2, -14, -2, 22, -10],
 [10, -11, -44, 24, 5]]

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


[User]
What is the rank of the matrix:
[[34, 22, 2, -24, 11],
 [-13, -11, -2, 24, -25],
 [9, -23, 37, 66, 36],
 [42, 42, -20, -60, -23],
 [33, 1, 33, 18, 62]]?

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


[User]
Calculate the rank of matrix A where A =
[[20, -19, -3, 2, -25],
 [-35, -25, 36, -23, 18],
 [13, 20, -11, 16, 25],
 [-16, 18, -6, -4, -2],
 [-23, 16, 5, -5, 21]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-25, -16, -32, -3, -33],
 [-33, -6, -4, -4, -48],
 [-43, 20, -36, 53, 24],
 [-16, 30, 0, 19, -3],
 [29, 24, 34, -10, 11]]

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


[User]
What is the rank of the matrix:
[[38, -19, -4, -58, 30],
 [-59, -7, 14, 24, -9],
 [45, -27, -19, -57, 21],
 [-25, 21, 2, 52, -27],
 [4, -45, -48, -10, -24]]?

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


[User]
Find the rank of the matrix:
[[-6, 12, -18, -24, -18],
 [-8, -4, -8, 4, -8],
 [20, 20, 12, -28, 12],
 [19, 7, 21, -5, 21],
 [-5, -5, -3, 7, -3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-10, 68, -21, -2, 18],
 [29, -10, 46, -23, -27],
 [-20, -12, 11, 25, 39],
 [19, 23, 21, -15, -14],
 [-15, -20, -37, -11, -13]]?

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[User]
Calculate the rank of matrix A where A =
[[16, 56, -3, 3, 16],
 [11, 38, 55, -9, 29],
 [-20, 7, -10, 36, -11],
 [16, 42, -25, 40, 7],
 [-12, 11, 58, 26, 15]]

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


[User]
What is the rank of the matrix:
[[80, -62, 29, 61, 9],
 [-52, 41, -7, -40, 6],
 [-50, 31, -37, -36, -26],
 [2, 6, -30, -4, -32],
 [-58, 51, -7, -42, 12]]?

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


[User]
Determine the rank of the following matrix:
[[4, -22, -38, -27, -9],
 [1, -2, 0, -6, 0],
 [-19, -14, -28, -48, -2],
 [1, -12, -22, -15, -5],
 [-18, 4, -20, 12, -2]]

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


[User]
Find the rank of the matrix:
[[-6, 0, 51, 18, -9],
 [-3, 12, -15, 0, 0],
 [10, -4, 39, 12, 7],
 [-15, -12, -36, -18, -15],
 [2, -2, -6, -3, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[38, -55, -46, -33, 29],
 [50, -12, -64, -14, -4],
 [-17, -43, 18, -18, 28],
 [6, 10, -12, 4, -12],
 [0, 16, -8, 8, -18]]

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


[User]
Find the rank of the matrix:
[[6, 3, -3, -1, -8],
 [30, -3, 3, -11, 2],
 [-48, 12, -12, 20, -20],
 [30, -9, 9, -13, 16],
 [-30, 15, -15, 15, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, 18, -15, -3, 0],
 [-18, -36, 30, 6, 0],
 [6, 12, -10, -2, 0],
 [-3, -6, 5, 1, 0],
 [-18, -36, 30, 6, 0]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 12, 84, -46, -46],
 [-11, -34, -14, -17, -22],
 [17, 16, -65, 67, 68],
 [22, -1, -3, 1, 28],
 [-16, -11, 8, -31, -50]]

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


[User]
Find the rank of the matrix:
[[3, 4, 12, -25, -5],
 [32, 28, -10, -15, 14],
 [-16, -32, -16, 15, 20],
 [-2, -2, -9, 20, 3],
 [-6, -14, -15, 20, 13]]

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[User]
Calculate the rank of matrix A where A =
[[-12, -7, -3, 14, 3],
 [24, 57, -51, 15, 42],
 [-12, -33, 51, -24, -33],
 [-2, -33, 36, -26, -33],
 [6, 17, -40, 21, 22]]

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


[User]
Determine the rank of the following matrix:
[[8, -44, -4, 40, 0],
 [-18, 13, 19, -10, -20],
 [-2, 54, -4, -50, 10],
 [-13, 50, 9, -45, -5],
 [-23, 19, 24, -15, -25]]

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


[User]
Find the rank of the matrix:
[[-22, -26, -16, -6, 24],
 [-34, -38, -8, -18, 32],
 [-18, -21, -11, -6, 19],
 [-33, -39, -24, -9, 36],
 [-18, -24, -34, 6, 26]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-49, 31, -6, -7, -67],
 [29, 4, -24, -13, 7],
 [-13, 4, 39, 24, 1],
 [15, 40, 23, 8, -20],
 [-2, 25, -38, -22, -41]]

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[User]
Compute the rank of the given 5x5 matrix:
[[14, 46, 19, -32, -32],
 [28, 45, 60, -42, 49],
 [-8, -21, -24, 36, 29],
 [-11, -35, -32, 46, 29],
 [17, 20, 71, -70, 12]]

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


[User]
What is the rank of the matrix:
[[-24, 18, -6, 0, -6],
 [10, -3, -29, -24, -11],
 [0, -3, 21, 16, 9],
 [-19, 12, 11, 12, 2],
 [-9, 9, -18, -12, -9]]?

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

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[User]
Find the rank of the matrix:
[[-18, 16, -55, 28, -29],
 [-38, -29, 0, 9, 12],
 [-24, -38, 37, -10, 31],
 [36, 30, 6, -6, -6],
 [-17, -8, -51, 6, -33]]

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


[User]
Determine the rank of the following matrix:
[[11, -32, 5, -14, -29],
 [-45, 75, 30, 35, 15],
 [-29, 20, 43, -16, -1],
 [-6, -7, 19, -7, -22],
 [-12, -7, 31, -21, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -9, 3, 12, 14],
 [24, 51, -2, 6, -20],
 [-20, -39, 4, -12, 12],
 [-7, 9, -22, -11, -26],
 [-44, -66, 1, -45, 0]]

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

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


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

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


[User]
What is the rank of the matrix:
[[5, -6, 4, 5, 6],
 [-16, 17, -8, -33, 44],
 [-12, 19, -6, -31, 38],
 [44, -22, 28, 42, -20],
 [-19, -38, -8, 13, 26]]?

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


[User]
Determine the rank of the following matrix:
[[3, 1, 7, 56, -3],
 [23, -41, 2, -10, 6],
 [-32, 43, -9, -17, -33],
 [46, -56, 12, 2, 72],
 [-1, 13, 8, -62, -28]]

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


[User]
What is the rank of the matrix:
[[60, 42, 57, -16, 56],
 [-30, -12, -17, -2, 10],
 [-24, -9, -6, -5, 16],
 [6, 12, -35, 10, -2],
 [18, 15, -6, 3, 6]]?

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


[User]
What is the rank of the matrix:
[[-10, -6, 2, -10, -6],
 [0, 0, 0, 0, 0],
 [20, 12, -4, 20, 12],
 [-10, -6, 2, -10, -6],
 [-25, -15, 5, -25, -15]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -12, 6, 8, -6],
 [-6, -6, 3, 4, -3],
 [-30, -30, 15, 20, -15],
 [-36, -36, 18, 24, -18],
 [0, 0, 0, 0, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -1, 9, -11, 11],
 [-18, -30, -6, 30, -18],
 [-3, -23, 23, -13, 21],
 [12, 26, -4, -14, 4],
 [-6, 8, -26, 28, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 22, -11, -1, 2],
 [-15, 13, 27, -10, -16],
 [-35, -12, 12, -37, 42],
 [60, -30, -46, 50, -12],
 [-20, -31, 26, -25, 22]]

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


[User]
Find the rank of the matrix:
[[-55, 6, -23, 26, 10],
 [7, 12, 0, 7, -13],
 [16, 52, 2, -26, -50],
 [-5, -24, 2, -5, 23],
 [27, -60, 16, 9, 45]]

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


[User]
What is the rank of the matrix:
[[0, -38, -28, -27, 22],
 [0, -38, -32, -20, 36],
 [0, -48, -40, -26, 44],
 [0, -28, -16, -28, 0],
 [0, 56, 44, 35, -42]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 23, 19, 8, -10],
 [-16, -19, 21, -22, 0],
 [-4, 13, 4, 2, 44],
 [20, 60, 5, 40, -20],
 [16, -6, -26, 12, -40]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 16, -16, -32, -20],
 [-36, 24, 8, 8, 20],
 [18, -3, -9, -15, -15],
 [21, 1, -13, -23, -20],
 [-18, -6, 14, 26, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[39, -40, 18, -5, -45],
 [18, -15, 18, 6, -18],
 [9, 5, 44, 33, 1],
 [-15, 15, -8, 1, 17],
 [54, -60, 12, -18, -66]]

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


[User]
Find the rank of the matrix:
[[12, -20, -12, 0, 20],
 [9, -15, -9, 0, 15],
 [-18, 30, 18, 0, -30],
 [6, -10, -6, 0, 10],
 [-15, 25, 15, 0, -25]]

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


[User]
What is the rank of the matrix:
[[23, -36, 14, -18, 21],
 [20, -28, 32, -14, 29],
 [3, -8, -18, -4, -8],
 [-5, 8, -2, 4, -4],
 [-19, 32, 2, 16, -10]]?

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


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

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


[User]
Find the rank of the matrix:
[[13, 9, 12, 17, -21],
 [22, 16, 21, 30, -36],
 [-5, -15, -15, -25, 15],
 [-13, -19, -21, -33, 27],
 [-6, 12, 9, 18, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[56, 16, -36, 0, 38],
 [-28, 28, 78, -8, -16],
 [50, 16, -12, 26, 35],
 [-9, 6, -9, -21, 12],
 [-7, 26, 9, -59, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[49, 35, 17, 13, 49],
 [9, -16, -8, -3, -18],
 [27, 29, -4, 21, 55],
 [16, 3, -23, -14, -2],
 [11, 13, -16, 1, 21]]

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


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

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


[User]
Determine the rank of the following matrix:
[[42, 44, -30, -48, -24],
 [-27, -18, -13, 17, -8],
 [-3, 3, -17, -5, -13],
 [24, 25, -16, -28, -17],
 [-12, -14, 10, 19, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[41, -8, 2, 7, -23],
 [-24, -8, 12, 12, 12],
 [-6, -2, 3, 3, 3],
 [-13, -26, 29, 34, 4],
 [22, -10, 7, 11, -13]]

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


[User]
What is the rank of the matrix:
[[-11, 2, 23, 6, 5],
 [18, -24, -10, 4, 16],
 [-8, 8, 8, 0, -4],
 [-11, 14, 7, -2, -9],
 [14, -44, 26, 20, 42]]?

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


[User]
Calculate the rank of matrix A where A =
[[5, 7, -27, 5, 16],
 [8, 14, 15, -36, 25],
 [4, 22, 1, 16, -61],
 [2, 1, -17, -5, 27],
 [27, 26, 9, -13, 6]]

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


[User]
Find the rank of the matrix:
[[-8, 3, -15, 1, 9],
 [0, -14, -10, -2, 22],
 [-2, 13, 5, 2, -17],
 [32, -54, 30, -10, 30],
 [-16, 41, -5, 7, -37]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 1, -1, 36, -18],
 [13, 17, -3, -16, 13],
 [-27, -21, 9, -22, -2],
 [0, -56, 6, 6, -8],
 [-32, -17, -3, -7, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -12, 60, 0, -21],
 [-12, 13, 34, -3, -17],
 [-29, -14, 5, 25, 22],
 [-10, -44, -22, 42, 32],
 [1, -7, -32, 10, 1]]

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


[User]
What is the rank of the matrix:
[[30, -42, -42, -12, 48],
 [12, 28, 21, -16, -34],
 [3, -17, -15, 2, 20],
 [8, 8, 5, -8, -10],
 [20, 4, -1, -16, -6]]?

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


[User]
Determine the rank of the following matrix:
[[-1, 4, 28, -11, 26],
 [-6, 45, 0, -36, 3],
 [-3, 24, -22, -13, -18],
 [-6, 19, 8, -16, 21],
 [-1, -18, -4, 17, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 0, 12, 6, 12],
 [12, 0, 8, 4, 8],
 [18, 0, 12, 6, 12],
 [-18, 0, -12, -6, -12],
 [3, 0, 2, 1, 2]]

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


[User]
Find the rank of the matrix:
[[-25, 13, -34, 27, 30],
 [-8, -6, -24, 32, 14],
 [11, 19, -6, 3, 0],
 [15, -8, -4, 17, -7],
 [31, -38, 30, -5, -35]]

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


[User]
Find the rank of the matrix:
[[-40, -22, 24, -18, 42],
 [-32, -20, 0, -12, 44],
 [-14, -5, 30, -9, 3],
 [46, 28, -6, 18, -60],
 [-18, -3, 66, -15, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[46, 37, 28, 19, 15],
 [0, -2, 2, 2, 2],
 [-22, -3, -2, 1, -1],
 [0, -16, -24, -22, -16],
 [-44, -30, -40, -31, -26]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -29, -29, -11, -5],
 [-19, -15, 12, -42, 14],
 [-25, -34, -29, -13, -7],
 [33, 4, 18, 10, 6],
 [-29, 2, 5, -7, -21]]

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


[User]
Calculate the rank of matrix A where A =
[[-50, -4, 30, 18, 4],
 [10, -10, -15, 9, -8],
 [45, 18, -15, -33, 6],
 [-35, -16, 10, 28, -6],
 [10, -10, -15, 9, -8]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [7, -19, 4, 9, -5],
 [2, -18, 20, 34, -14],
 [-18, 42, 0, -6, 6],
 [11, -31, 8, 17, -9]]

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


[User]
Determine the rank of the following matrix:
[[2, 18, -5, 20, 6],
 [-16, 38, -1, -41, -35],
 [21, -12, 84, -21, 18],
 [41, -18, -20, 40, 14],
 [-60, 48, -27, -2, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[24, -20, 20, 24, -4],
 [6, -5, 5, 6, -1],
 [-36, 30, -30, -36, 6],
 [-6, 5, -5, -6, 1],
 [-30, 25, -25, -30, 5]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, -46, 5, -43, 21],
 [-22, 13, -27, 5, 0],
 [4, 22, 22, 34, -24],
 [-22, -47, 3, -35, 10],
 [-16, 33, 1, 40, -26]]?

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


[User]
Determine the rank of the following matrix:
[[-30, -20, -15, -10, 25],
 [-12, -8, -6, -4, 10],
 [-18, -12, -9, -6, 15],
 [12, 8, 6, 4, -10],
 [36, 24, 18, 12, -30]]

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


[User]
What is the rank of the matrix:
[[-34, 24, -6, 8, 13],
 [-16, 21, -30, -16, 25],
 [-16, -5, -16, -2, -21],
 [34, -6, 20, -2, 17],
 [-20, 28, -34, -18, 34]]?

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


[User]
Determine the rank of the following matrix:
[[-14, -32, 16, 14, 2],
 [-25, 20, -10, -25, -5],
 [4, -14, 7, 11, 2],
 [-23, -14, 7, -2, -1],
 [-45, -18, 9, -10, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[21, -12, 10, 0, 40],
 [-11, -34, 3, 12, 24],
 [3, 0, -10, 6, -23],
 [5, -18, 5, -2, -1],
 [-8, -1, -12, 21, 22]]

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


[User]
Determine the rank of the following matrix:
[[27, 15, 0, 1, -4],
 [-8, 15, 0, -4, -9],
 [-3, -18, 0, 3, 9],
 [2, -9, 0, 2, 5],
 [-18, -24, 0, 2, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -1, -7, 16, -27],
 [-1, 2, 2, 10, -9],
 [38, 13, 11, -8, 26],
 [-7, -1, -11, -2, -10],
 [-24, -12, -12, -12, -3]]

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


[User]
What is the rank of the matrix:
[[12, -38, 26, 11, 24],
 [3, 7, -10, -16, 6],
 [36, -31, 8, 48, 7],
 [-24, -26, 38, -7, 12],
 [-35, 19, 8, 5, -30]]?

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


[User]
What is the rank of the matrix:
[[-10, 5, 10, -10, 25],
 [-24, -4, -16, -12, 24],
 [20, 14, 40, 2, 4],
 [30, 5, 20, 15, -30],
 [-34, -7, -26, -16, 31]]?

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


[User]
Determine the rank of the following matrix:
[[-26, -64, 30, -7, 36],
 [-32, -38, -20, 6, -18],
 [-10, -46, 56, 1, 66],
 [-22, -66, 28, -21, 30],
 [22, 58, -35, 4, -42]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, 50, -6, -24, 24],
 [16, 26, -30, 0, 36],
 [-25, -52, 1, -3, -6],
 [29, 35, -2, 39, -12],
 [-8, 18, -14, -56, 44]]

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


[User]
Find the rank of the matrix:
[[-20, 0, 4, -8, -4],
 [5, 0, -1, 2, 1],
 [-10, 0, 2, -4, -2],
 [30, 0, -6, 12, 6],
 [10, 0, -2, 4, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[48, 31, -56, -45, -27],
 [-29, -46, -17, 20, -26],
 [-10, 8, -18, 12, -2],
 [8, 62, -8, 6, 28],
 [36, 42, 12, -14, 16]]

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


[User]
Determine the rank of the following matrix:
[[3, -18, -6, 15, 6],
 [14, -28, 4, 18, -4],
 [12, -44, -8, 34, 8],
 [17, -46, -2, 33, 2],
 [-12, 44, 8, -34, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-7, 18, -32, 16, 19],
 [20, -5, 20, 15, 10],
 [24, 7, 4, 35, 30],
 [24, 7, 4, 35, 30],
 [-24, 6, -24, -18, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 22, 28, 20, -18],
 [29, 1, 19, -18, -28],
 [-11, 16, 19, 16, -11],
 [-5, -20, -35, -8, 31],
 [13, -3, 3, -10, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-37, 31, 8, -10, 39],
 [-8, -11, -18, -2, -2],
 [-20, 18, -6, 38, -18],
 [53, -41, -3, -3, -38],
 [57, -49, -2, -28, -21]]

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


[User]
What is the rank of the matrix:
[[-31, 5, 28, 34, -13],
 [6, 2, -2, 1, 6],
 [29, 23, 10, -13, 15],
 [-6, 17, 28, -2, -12],
 [33, 26, 10, -1, 25]]?

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


[User]
Calculate the rank of matrix A where A =
[[30, -11, 4, -17, 10],
 [-18, 19, -6, 36, -40],
 [1, -14, 0, -36, 46],
 [-12, -1, 54, 6, 6],
 [-34, 5, 40, 13, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[2, 40, -26, 18, 48],
 [-1, -17, 31, -6, -51],
 [-13, 12, 55, 11, -6],
 [-6, -49, 19, -23, -18],
 [4, 22, -12, 10, 6]]?

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


[User]
Find the rank of the matrix:
[[21, -26, 56, 14, -14],
 [27, -42, 72, 18, -12],
 [6, 4, -12, 0, -4],
 [25, -50, 62, 16, -2],
 [-8, 48, -5, -3, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-54, -9, -23, -13, 24],
 [-21, -44, -16, 14, -26],
 [25, 81, 25, -20, -2],
 [2, -6, -40, 41, -52],
 [-23, 3, -7, -17, 54]]

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


[User]
What is the rank of the matrix:
[[-41, -34, 27, 15, 56],
 [6, -5, 24, 19, 0],
 [45, 25, -20, 5, -50],
 [10, -20, 28, 48, 12],
 [4, 0, -7, 3, -2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 21, -29, -23, -10],
 [2, -18, -13, 4, -25],
 [-7, -2, -29, -2, -14],
 [16, -14, 52, 6, 2],
 [14, 4, -12, 24, 38]]

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


[User]
Find the rank of the matrix:
[[-30, -32, -29, -10, 29],
 [-38, -28, -20, 6, 22],
 [3, 48, 12, -15, -51],
 [4, 2, -22, 2, 18],
 [-14, -32, -32, 15, 49]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, -14, 13, 6, -2],
 [24, -54, 48, 0, 12],
 [-34, -9, 13, 54, -44],
 [26, -49, 43, -6, 16],
 [-14, 22, -19, 6, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-23, -20, 18, -15, -19],
 [6, -73, -20, -48, -37],
 [-68, -32, 5, -21, -1],
 [33, -14, 18, -17, -47],
 [55, 51, 20, 31, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[15, 30, 3, 18, 54],
 [19, 26, 5, 24, 54],
 [-7, -18, -1, -8, -30],
 [7, -12, 4, 11, -6],
 [-24, -36, -6, -30, -72]]?

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


[User]
Calculate the rank of matrix A where A =
[[8, 18, 14, -6, -10],
 [-7, -22, -11, 9, 5],
 [3, -2, 7, 3, -9],
 [-13, 2, 27, -21, 3],
 [-11, -51, 28, 15, -26]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, -4, -24, -8, 20],
 [0, 0, 0, 0, 0],
 [-2, -1, -6, -2, 5],
 [6, 3, 18, 6, -15],
 [-10, -5, -30, -10, 25]]?

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


[User]
Determine the rank of the following matrix:
[[-28, -8, -48, 20, 12],
 [-18, -8, -30, 10, 11],
 [17, 2, 30, -15, -4],
 [-7, 18, -18, 25, -20],
 [-7, -22, -6, -15, 26]]

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


[User]
Find the rank of the matrix:
[[1, 5, -4, 4, 2],
 [-4, -20, 16, -16, -8],
 [-6, -30, 24, -24, -12],
 [-3, -15, 12, -12, -6],
 [-2, -10, 8, -8, -4]]

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


[User]
Determine the rank of the following matrix:
[[12, 20, 24, -34, 4],
 [6, -8, -24, 19, -16],
 [-24, -22, -12, 32, 10],
 [0, 3, 6, -6, 3],
 [12, 8, 0, -10, -8]]

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


[User]
Determine the rank of the following matrix:
[[0, -9, -3, -1, 12],
 [40, 31, -72, 29, 7],
 [-40, -22, 33, 0, -13],
 [-55, -16, 30, 15, -34],
 [-15, -25, 52, -32, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 0, -3, -8, -7],
 [-34, -18, 30, 18, 34],
 [17, 8, -9, 0, -13],
 [-46, -25, 42, 25, 46],
 [13, 16, -18, 12, 1]]

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


[User]
What is the rank of the matrix:
[[21, 23, -3, -10, -8],
 [-27, -33, 5, 10, 12],
 [3, -13, 5, -15, 7],
 [-18, -12, 0, 15, 3],
 [-30, -20, 0, 25, 5]]?

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


[User]
What is the rank of the matrix:
[[0, -16, -5, -6, 21],
 [-22, 8, 3, 23, 15],
 [-39, -30, -6, 61, 16],
 [0, -24, -15, -10, -13],
 [-76, -4, -3, 67, 73]]?

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


[User]
Calculate the rank of matrix A where A =
[[-60, 42, 6, -38, 6],
 [-14, 73, 0, 10, 0],
 [26, 14, 12, 26, -22],
 [-9, -35, 17, -18, -26],
 [14, -30, -10, 3, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[-39, 12, -21, -45, 12],
 [-22, -3, -37, -20, -17],
 [29, -21, 32, 10, -5],
 [31, -7, 38, 25, 7],
 [39, -4, 11, 60, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -13, 15, 11, -1],
 [24, 15, 52, 37, -19],
 [2, -5, 6, -1, 0],
 [28, 23, 31, 35, -31],
 [-47, -85, -25, -55, 63]]

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


[User]
Find the rank of the matrix:
[[-55, 35, 40, -55, -20],
 [12, -33, 6, 12, -12],
 [0, 0, 0, 0, 0],
 [42, -38, -24, 42, 8],
 [23, -9, -20, 23, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, 29, -1, 12, 5],
 [-31, 11, -19, 48, 35],
 [-7, -22, -16, 30, 26],
 [32, 2, 26, -60, -46],
 [-34, 18, -18, 48, 34]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, -45, 51, -27, -12],
 [-14, -27, 29, -21, -8],
 [-2, 9, -7, 15, 4],
 [16, -12, 4, -36, -8],
 [-4, -27, 25, -33, -10]]

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


[User]
Find the rank of the matrix:
[[8, 5, -46, 26, -3],
 [5, 20, 55, -50, 10],
 [62, 59, -27, -12, 41],
 [0, -16, -37, 38, -2],
 [-18, -8, -50, 28, -28]]

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


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

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


[User]
Determine the rank of the following matrix:
[[20, -24, 20, -16, -20],
 [8, -16, 4, 8, -12],
 [-40, 56, -35, 14, 45],
 [-7, 2, -11, 20, 3],
 [24, -32, 22, -12, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, 43, -12, 19, -28],
 [-6, -10, -34, -14, 18],
 [11, 23, 3, 13, -11],
 [23, 51, -32, 19, -8],
 [14, 30, -8, 14, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 5, -16, 37, -29],
 [4, -31, 27, 17, -30],
 [15, 34, -24, -9, 30],
 [24, -34, 38, -7, 13],
 [-7, -18, 8, 27, -24]]

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


[User]
What is the rank of the matrix:
[[-23, 28, -8, -10, -22],
 [-25, 20, 2, -22, 0],
 [9, -9, 0, 15, -6],
 [-13, -22, 26, 20, 0],
 [7, 13, -16, -3, -10]]?

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


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

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


[User]
What is the rank of the matrix:
[[36, 14, -30, 24, -57],
 [-18, -45, -6, 18, -57],
 [26, 39, -18, -6, 2],
 [-9, -12, 6, -6, 18],
 [32, 18, -12, 20, -24]]?

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


[User]
Determine the rank of the following matrix:
[[-53, -4, -28, -32, -19],
 [-10, 19, 7, -22, -13],
 [-24, 6, -39, -24, -3],
 [-15, -4, 17, -4, -12],
 [5, -11, 13, 14, 2]]

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


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

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


[User]
What is the rank of the matrix:
[[-9, -30, 7, -38, 7],
 [18, -24, 26, -46, -10],
 [-7, 28, -19, 45, 3],
 [11, 4, 7, -1, -7],
 [-19, -26, -3, -26, 13]]?

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


[User]
Calculate the rank of matrix A where A =
[[-26, 28, 10, 4, -8],
 [-19, 18, 6, 2, -4],
 [-34, 12, 0, -4, 8],
 [32, 0, 6, 8, -16],
 [-24, 16, 4, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[3, 8, -7, 0, 0],
 [19, 0, 9, 20, 18],
 [-6, 30, -28, 30, -34],
 [16, 0, 8, 20, 14],
 [-1, 28, -23, 40, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -22, 8, -10, 6],
 [12, -36, 12, 0, 30],
 [-12, -32, 12, -20, 2],
 [4, 56, -20, 20, -22],
 [-32, -6, 4, -30, -32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, -2, 0, 10, -2],
 [-30, -30, 20, 15, 10],
 [25, 31, -20, -20, -9],
 [-9, 9, -4, -18, 1],
 [-13, -19, 12, 14, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -14, 8, -19, 6],
 [-36, -16, -4, -12, 20],
 [45, -1, 12, -13, -18],
 [51, 21, 34, 5, -32],
 [4, -31, 16, -44, 8]]

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


[User]
Find the rank of the matrix:
[[51, 46, 4, 10, -14],
 [46, 43, 2, 10, -15],
 [-43, -37, -8, -15, 13],
 [-2, -1, 6, 20, -11],
 [-25, -33, 8, -15, 25]]

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


[User]
Determine the rank of the following matrix:
[[42, -60, -20, 42, -50],
 [27, -42, -20, 33, -35],
 [3, 6, 20, -15, 5],
 [-17, 30, 20, -27, 25],
 [9, -18, -15, 18, -15]]

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


[User]
Determine the rank of the following matrix:
[[-6, 20, -4, -28, 14],
 [-8, 34, -12, -44, 20],
 [-4, -27, 34, 18, 2],
 [-6, 42, -24, -48, 18],
 [-10, -7, 30, -10, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 0, -15, -3, 0],
 [-11, -4, -30, -7, 6],
 [-23, -16, -15, -7, 24],
 [-20, -16, 0, -4, 24],
 [-12, -8, -10, -4, 12]]

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


[User]
Determine the rank of the following matrix:
[[-33, -4, 4, -13, 11],
 [30, -5, -29, 24, -30],
 [-6, -19, -6, 10, -2],
 [15, -8, 7, 9, 3],
 [42, 22, -23, 12, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, -33, 9, -15, -21],
 [10, -16, 4, -8, -12],
 [10, -7, 3, -1, 1],
 [12, -21, 5, -11, -17],
 [-9, 0, -2, -4, -10]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, 0, -32, -11, -6],
 [-12, -7, 19, 61, 32],
 [-4, -11, 15, 21, 32],
 [16, 10, -14, -50, -36],
 [-2, 14, -12, 9, -32]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 9, -3, 1, 25],
 [-6, -18, 60, -48, -30],
 [-7, -4, 27, -30, -15],
 [12, -4, -16, 33, 15],
 [-5, -11, 6, -12, -45]]

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


[User]
Find the rank of the matrix:
[[22, 0, -16, 18, -38],
 [20, 1, 21, -12, 0],
 [-33, -12, -8, 13, 9],
 [20, 40, -30, -24, 12],
 [-43, -12, -43, 37, -13]]

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


[User]
What is the rank of the matrix:
[[-15, -31, 13, 21, -40],
 [41, 7, -38, -40, 19],
 [-7, 28, 16, 35, 25],
 [-15, 13, 1, -43, 20],
 [13, -35, -3, 37, -44]]?

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


[User]
What is the rank of the matrix:
[[8, 11, 3, -32, -15],
 [-11, -2, 9, 14, 0],
 [7, 19, 2, 2, -5],
 [-6, 19, 16, 8, -11],
 [1, 7, 0, 14, 3]]?

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


[User]
What is the rank of the matrix:
[[-59, -37, -24, 47, 18],
 [60, 44, 17, -43, -23],
 [-11, -17, 28, 0, 25],
 [45, 33, -29, -5, -27],
 [-51, -1, -19, 28, -7]]?

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[User]
Determine the rank of the following matrix:
[[0, -16, 0, 16, 12],
 [0, 8, 0, -8, -6],
 [0, 20, 0, -20, -15],
 [0, 20, 0, -20, -15],
 [0, 12, 0, -12, -9]]

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[User]
Calculate the rank of matrix A where A =
[[18, 14, 28, 32, -40],
 [19, 11, 5, -21, 22],
 [-19, -11, -5, 21, -22],
 [25, 15, 10, -20, 20],
 [1, -1, -10, -24, 28]]

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


[User]
Find the rank of the matrix:
[[5, -1, 0, -1, 5],
 [-25, 5, 0, 5, -25],
 [30, -6, 0, -6, 30],
 [10, -2, 0, -2, 10],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-30, -15, -30, -36, 3],
 [10, -19, -14, 4, 19],
 [6, -30, 16, -15, 25],
 [36, 2, 28, 27, 11],
 [38, 36, 64, 9, -11]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, -10, -12, 8, 4],
 [-24, -30, -36, 24, 12],
 [16, 20, 24, -16, -8],
 [16, 20, 24, -16, -8],
 [-20, -25, -30, 20, 10]]?

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[User]
What is the rank of the matrix:
[[23, 9, -12, -12, 1],
 [36, -25, -44, -15, -35],
 [15, 18, 0, -9, 12],
 [2, 21, 12, -3, 19],
 [14, -8, -16, -6, -12]]?

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[User]
Find the rank of the matrix:
[[-21, -37, 23, 11, -1],
 [-33, 5, 3, 17, 17],
 [51, -16, 47, -13, -49],
 [-74, -4, -10, 36, 36],
 [-33, -28, -9, 2, 32]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-24, 5, 3, 6, 21],
 [26, 28, -40, -45, -1],
 [5, 4, -7, 0, -4],
 [-24, 7, 3, -15, 30],
 [-50, 13, 7, -21, 58]]

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

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[User]
Determine the rank of the following matrix:
[[-24, 12, 36, -6, 0],
 [-12, 6, 18, -3, 0],
 [8, -4, -12, 2, 0],
 [16, -8, -24, 4, 0],
 [-4, 2, 6, -1, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[42, -4, -3, 26, 37],
 [30, -2, -20, 28, 18],
 [33, 17, -41, 29, 43],
 [19, 25, -54, 17, 38],
 [-14, -16, 32, -24, -21]]

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[User]
Calculate the rank of matrix A where A =
[[-2, -14, -25, 6, 19],
 [34, 16, 16, -2, 22],
 [37, 13, -25, -6, 43],
 [-5, 4, -5, -5, -8],
 [-14, 1, 5, -3, -20]]

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[User]
What is the rank of the matrix:
[[4, -8, 8, -20, 0],
 [2, -4, 4, -10, 0],
 [3, -6, 6, -15, 0],
 [5, -10, 10, -25, 0],
 [-6, 12, -12, 30, 0]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-29, -33, -39, 15, 25],
 [-11, -14, -21, 14, 16],
 [-12, 1, 14, -5, -3],
 [30, 36, 42, -12, -24],
 [3, 6, -1, 20, 12]]

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

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[User]
Determine the rank of the following matrix:
[[18, -15, 48, 48, 24],
 [-14, 20, 47, 44, 36],
 [-14, 3, 62, 64, 32],
 [1, -5, 44, 45, 22],
 [-10, 34, 26, 18, 36]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-62, 30, -24, 6, -33],
 [-20, 32, 39, -34, 38],
 [0, -32, -75, -13, -61],
 [30, 6, 69, -7, 60],
 [26, -6, 30, 16, 25]]

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[User]
Find the rank of the matrix:
[[30, 6, -38, 8, 6],
 [-9, -9, 17, 4, -15],
 [-26, 14, 18, -24, 30],
 [14, -2, -14, 8, -6],
 [-34, 10, 30, -24, 24]]

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


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

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


[User]
Find the rank of the matrix:
[[-35, -6, -6, 15, 42],
 [27, 26, -42, -31, -12],
 [13, -16, 42, 11, -33],
 [18, 10, -12, -14, -15],
 [-30, -2, -12, 10, 39]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-18, -3, -26, 19, -9],
 [24, -18, 42, 15, 45],
 [20, 0, 30, -15, 15],
 [-26, 3, -40, 14, -24],
 [-30, 15, -50, -5, -45]]

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[User]
Calculate the rank of matrix A where A =
[[28, -3, -2, -42, -42],
 [12, -18, 1, -18, -18],
 [8, 30, -4, -12, -12],
 [-4, -42, 5, 6, 6],
 [-28, -24, 5, 42, 42]]

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


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

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[User]
Determine the rank of the following matrix:
[[2, -40, 36, -30, -47],
 [38, -18, -1, 2, -11],
 [7, 27, -29, 7, 20],
 [17, 8, -4, 18, 1],
 [15, -13, 18, 23, -7]]

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[User]
What is the rank of the matrix:
[[21, 36, 21, 9, 12],
 [-27, 7, 30, 33, 18],
 [28, -8, -7, -39, -7],
 [41, 12, 10, -26, 25],
 [35, -72, -14, -94, 19]]?

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[User]
Compute the rank of the given 5x5 matrix:
[[-2, 1, 0, -5, -1],
 [-4, 2, 0, -10, -2],
 [-8, 4, 0, -20, -4],
 [8, -4, 0, 20, 4],
 [-10, 5, 0, -25, -5]]

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[User]
Calculate the rank of matrix A where A =
[[12, -12, -12, 4, 4],
 [-7, 39, 39, 11, 7],
 [-2, 42, 42, 16, 11],
 [-2, 18, 18, 6, 4],
 [-19, 3, 3, -13, -11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -42, -1, -4, 17],
 [8, -12, -6, 8, 6],
 [1, -24, 3, -8, 9],
 [13, 18, -16, 28, -4],
 [-18, 42, 11, -12, -19]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[29, -26, -29, 13, -19],
 [0, -30, -1, -4, -31],
 [26, 11, -20, 11, 30],
 [-17, 3, 21, -14, 9],
 [15, -25, -18, 8, -28]]

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


[User]
What is the rank of the matrix:
[[6, 0, -6, -8, -8],
 [6, 0, -6, -8, -8],
 [9, 0, -9, -12, -12],
 [9, 0, -9, -12, -12],
 [6, 0, -6, -8, -8]]?

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[User]
Calculate the rank of matrix A where A =
[[27, -12, -23, 27, -9],
 [-48, -30, 42, -21, 42],
 [-10, 14, 0, -11, -8],
 [9, -33, 10, 16, 25],
 [41, 20, -5, 6, -9]]

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[User]
Calculate the rank of matrix A where A =
[[-40, -12, 46, 36, 28],
 [20, -15, -20, -15, 10],
 [4, 11, -6, -5, -14],
 [12, 19, -16, -13, -26],
 [-12, -26, 17, 14, 34]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, -21, 23, 26, 77],
 [-1, 51, -21, 28, -48],
 [-20, 10, -2, 15, -7],
 [24, -13, -29, -22, 1],
 [-20, 42, 20, 45, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 0, -12, -3, 0],
 [-32, -6, -10, 5, 6],
 [28, 3, 11, -1, -3],
 [-24, -12, 0, 15, 12],
 [20, 15, -5, -20, -15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 6, -15, 0, 27],
 [-22, 6, 30, -18, -36],
 [-24, 12, 30, -24, -30],
 [18, -4, -25, 14, 31],
 [17, -1, -25, 11, 34]]

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


[User]
Determine the rank of the following matrix:
[[3, 7, 84, 42, 25],
 [36, 1, -47, -31, -23],
 [24, 7, -29, 3, 1],
 [42, -6, 49, -3, -14],
 [-24, -55, -3, 9, -20]]

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


[User]
Find the rank of the matrix:
[[10, 20, 28, -68, 22],
 [-41, -9, 33, 6, -30],
 [-33, -13, 13, 30, -30],
 [-22, -36, 18, -2, -5],
 [12, 55, -19, 24, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, -5, 8, -7, 7],
 [-25, -10, 35, -25, 9],
 [-6, 24, -3, -16, -3],
 [-12, 8, 10, -16, 2],
 [-1, -1, 5, -3, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[29, 14, -24, 43, -24],
 [12, 13, -9, -9, -6],
 [-26, -29, -9, -30, 17],
 [-2, -24, -19, 7, -5],
 [11, 6, -29, -4, -7]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[53, 20, 71, 4, 51],
 [21, -36, -5, 36, 15],
 [-10, 39, 20, -35, -4],
 [-18, 9, 14, -33, -14],
 [65, -19, 51, 43, 65]]

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


[User]
Determine the rank of the following matrix:
[[26, 38, -20, -33, 8],
 [-15, 25, 10, -1, 10],
 [-54, -13, 14, 13, -13],
 [-19, 27, 14, 2, 12],
 [3, -28, 8, 20, -3]]

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


[User]
Determine the rank of the following matrix:
[[-14, 5, 31, -15, 7],
 [25, 0, 13, 37, 52],
 [-19, 8, 27, 28, 18],
 [24, -10, 1, 18, 31],
 [27, -4, -2, 29, 37]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -41, -20, 12, 7],
 [14, -29, -20, -32, 5],
 [-10, -12, -12, 30, 9],
 [-7, 27, 30, 56, -10],
 [-31, -7, -34, -4, 22]]

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


[User]
Find the rank of the matrix:
[[27, 15, -24, -33, 0],
 [-22, 2, 16, -14, -16],
 [35, 15, -30, -30, 5],
 [19, 7, -16, -13, 4],
 [-25, -13, 22, 28, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -12, 6, -5, -1],
 [11, -16, 14, 5, -7],
 [-21, -1, -3, -23, 7],
 [-24, 15, -33, 4, 14],
 [35, -12, 38, 2, -18]]

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


[User]
Determine the rank of the following matrix:
[[-49, -48, 14, -6, -62],
 [-24, 2, -6, 15, 6],
 [-21, -28, 24, -39, -36],
 [39, 27, -24, 12, 32],
 [-14, -51, 37, -4, -70]]

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


[User]
Find the rank of the matrix:
[[41, -26, 38, -5, 2],
 [13, -44, -15, 21, -13],
 [-19, -26, -14, 15, -26],
 [19, -11, 47, -13, -8],
 [12, 32, 34, -24, 18]]

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


[User]
Determine the rank of the following matrix:
[[42, 58, -13, -6, -9],
 [-15, 19, -24, -31, 12],
 [-29, -35, -7, -25, 33],
 [8, 5, -3, 62, -60],
 [19, 4, 10, -53, 59]]

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


[User]
Determine the rank of the following matrix:
[[6, 2, -2, -10, 12],
 [-6, -24, -12, 30, -36],
 [-23, 18, 24, 15, -18],
 [-26, 28, 32, 10, -12],
 [-4, 6, 6, 0, 0]]

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


[User]
What is the rank of the matrix:
[[-1, 1, -49, -20, 5],
 [7, -7, 24, -5, 23],
 [9, -9, 12, -15, 33],
 [-3, 3, -37, -10, -5],
 [-1, 1, -27, -10, 1]]?

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


[User]
Determine the rank of the following matrix:
[[-9, -12, 9, 15, -18],
 [-15, -20, 15, 25, -30],
 [0, 0, 0, 0, 0],
 [6, 8, -6, -10, 12],
 [-9, -12, 9, 15, -18]]

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


[User]
Find the rank of the matrix:
[[6, -36, -12, -6, 0],
 [1, -6, -2, -1, 0],
 [3, -18, -6, -3, 0],
 [-5, 30, 10, 5, 0],
 [0, 0, 0, 0, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 40, -1, -13, 18],
 [-75, 20, 6, 41, -16],
 [36, 23, -6, -23, 33],
 [50, -33, -5, -2, -17],
 [58, -23, -3, -12, -23]]

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


[User]
Determine the rank of the following matrix:
[[38, 38, -30, 31, -19],
 [-15, -14, -25, 9, 27],
 [-6, -6, 54, -35, -23],
 [0, -22, -8, 33, 3],
 [-10, -32, -38, 48, 28]]

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


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

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


[User]
Find the rank of the matrix:
[[23, -31, -42, 13, 3],
 [-9, -15, 18, -7, 13],
 [-20, 10, 42, -18, 8],
 [-13, -7, 12, 7, 6],
 [4, -14, -12, 8, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -3, 14, -9, -16],
 [12, -6, -12, 30, 24],
 [-3, 12, -6, -24, -6],
 [21, 7, -36, 25, 42],
 [17, 2, -26, 26, 34]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, -29, -2, -8, -6],
 [-10, -10, 26, 8, 6],
 [-21, 5, 0, 3, 3],
 [-17, 13, 40, 19, 33],
 [13, 29, -18, -1, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 36, -24, 0, -24],
 [3, -21, 10, -6, 16],
 [-12, 12, 8, 24, -16],
 [0, 12, -8, 0, -8],
 [6, -42, 20, -12, 32]]

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


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

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


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

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