[User]
What is the rank of the matrix:
[[23, 1, 11, 3, 9],
 [17, -36, 42, 29, 39],
 [-10, -17, 14, 21, 18],
 [-41, 0, -20, -3, -15],
 [35, 15, 2, -12, -3]]?

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


[User]
Calculate the rank of matrix A where A =
[[-27, -22, 22, 27, -23],
 [17, 26, -2, -13, 19],
 [34, -24, 36, -62, -6],
 [-23, 12, -54, 43, 6],
 [5, 20, -38, 5, 17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-31, 18, 3, 45, -58],
 [42, -21, -3, -60, 78],
 [-39, 50, -1, 5, -16],
 [24, 9, 9, -10, 22],
 [0, 20, -4, -40, 44]]

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


[User]
Determine the rank of the following matrix:
[[13, 9, -40, 8, -34],
 [32, 19, -7, 26, -8],
 [27, 16, -5, 22, -6],
 [-10, -6, 4, -8, 4],
 [16, 9, 11, 14, 8]]

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


[User]
What is the rank of the matrix:
[[-2, -2, 4, -6, 2],
 [-26, 30, 17, 20, 19],
 [15, -9, -15, 3, -12],
 [4, 4, -8, 12, -4],
 [-28, 36, 16, 28, 20]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, 12, -12, -24, -72],
 [-14, 14, 4, -4, -24],
 [-76, 61, 21, 20, -18],
 [26, -17, -28, -26, -48],
 [15, -9, 17, -4, 6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[41, 12, 4, 12, -35],
 [-28, -15, -8, 3, 25],
 [17, 22, 20, -18, -9],
 [7, 20, 12, -30, -13],
 [-20, -22, -8, 27, 30]]

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


[User]
What is the rank of the matrix:
[[21, -6, -2, 32, 14],
 [15, 2, -6, 36, 6],
 [-4, -5, -5, -4, -10],
 [-22, 21, 2, 7, 1],
 [24, 31, 17, 4, 25]]?

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


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

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


[User]
What is the rank of the matrix:
[[-28, 19, -18, -57, 20],
 [-32, 29, 0, -51, 13],
 [20, 13, -6, 33, -28],
 [-4, 39, 6, 3, -24],
 [-16, 52, 12, -12, -22]]?

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


[User]
Determine the rank of the following matrix:
[[-30, 18, -12, -30, -36],
 [12, -22, 18, 30, 16],
 [1, 29, -26, -35, -2],
 [-36, -8, 12, 0, -40],
 [6, -48, 42, 60, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 9, 24, 7, -1],
 [-23, 16, -19, 9, -7],
 [29, -8, -43, -22, 7],
 [56, -9, -24, -29, 13],
 [-46, 4, 74, 34, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, -14, -1, 1, 15],
 [-24, 1, 18, -8, -10],
 [38, 28, -2, 5, -16],
 [-4, 6, -16, 13, 14],
 [46, 26, 3, 11, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 4, -24, -13, 21],
 [-22, 17, 0, 10, 13],
 [-6, 7, -8, 5, -16],
 [10, -5, -12, -4, -25],
 [-20, 15, -10, 0, 30]]

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


[User]
Find the rank of the matrix:
[[5, -29, -2, 28, 3],
 [20, 19, 19, -23, 12],
 [-5, -26, -9, 27, -3],
 [25, 35, 26, -40, 15],
 [10, -23, 3, 21, 6]]

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


[User]
Find the rank of the matrix:
[[32, 22, 28, 0, -10],
 [-11, -3, -11, -27, -25],
 [14, 4, 16, 10, -20],
 [-22, -7, -24, -22, 13],
 [13, 18, 4, -1, 54]]

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


[User]
Find the rank of the matrix:
[[8, 2, 18, 5, -5],
 [24, 6, 54, 15, -15],
 [10, 20, -30, 8, 6],
 [36, 44, -24, 26, 2],
 [6, 14, -24, 5, 5]]

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


[User]
What is the rank of the matrix:
[[-11, -16, 28, -21, -21],
 [-16, 42, -14, 14, -22],
 [-6, -6, -11, 15, 39],
 [-22, 18, 22, -16, -52],
 [-19, 20, -5, 10, -2]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-41, 28, -33, -30, 19],
 [-25, 10, -28, -14, 32],
 [41, -28, 33, 30, -19],
 [-60, 28, -42, -37, 39],
 [-38, 8, -6, -19, 13]]

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


[User]
Find the rank of the matrix:
[[7, 11, 20, -5, -3],
 [15, 23, 48, 1, 5],
 [44, 0, -12, 18, 34],
 [48, 2, -22, -5, 13],
 [-32, -14, 2, 35, 23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, -15, -3, 6, 39],
 [-7, -8, 11, -17, 37],
 [2, 2, -2, 4, -9],
 [-33, -11, -10, 15, 20],
 [-21, -12, 9, -7, 41]]

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


[User]
Determine the rank of the following matrix:
[[-66, -30, 6, 12, -36],
 [-36, -12, -10, 30, -28],
 [-24, -24, 20, 36, -40],
 [65, 23, 3, 4, 22],
 [-19, 9, -40, 43, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 50, 10, 38, 0],
 [-12, -40, 0, -10, 34],
 [16, 6, -8, 0, -16],
 [-4, 6, 7, -27, -32],
 [0, -14, 2, -38, -28]]

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


[User]
What is the rank of the matrix:
[[32, -30, -10, -2, -4],
 [-68, 37, 19, 19, 30],
 [-23, 11, 37, 33, 26],
 [-21, -10, 45, 52, 46],
 [-36, 58, -14, -34, -28]]?

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


[User]
What is the rank of the matrix:
[[12, 16, 12, 46, -22],
 [-13, -14, -12, -51, 28],
 [15, -47, -17, -47, 40],
 [-20, 48, -4, -16, 19],
 [6, 12, -30, 9, -12]]?

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


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

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


[User]
What is the rank of the matrix:
[[17, -5, 18, -7, 7],
 [48, -53, 33, -4, 47],
 [16, -7, 17, -12, 9],
 [2, 14, 12, -26, -6],
 [44, -36, 31, 28, 22]]?

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


[User]
Determine the rank of the following matrix:
[[2, -2, 7, 2, -4],
 [2, -34, 27, 34, -28],
 [4, 20, -1, -20, 10],
 [0, 24, -15, -24, 18],
 [-3, -17, 2, 17, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -2, 1, -4, -4],
 [24, 12, -10, 40, -4],
 [-2, 0, 27, 36, -11],
 [14, -4, -27, -36, -11],
 [8, -2, -17, -22, -5]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, 5, -2, -27, -32],
 [22, -6, -54, 30, -8],
 [6, -38, 2, -6, -12],
 [-12, 24, 30, -21, 3],
 [-17, -18, 3, 30, 34]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 9, -18, 0, 15],
 [-12, -6, -6, -10, -8],
 [-22, -18, 0, -20, -26],
 [-16, -15, 3, -15, -22],
 [-35, 0, -45, -25, 5]]

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


[User]
Determine the rank of the following matrix:
[[7, -51, 49, 0, 16],
 [12, -24, 14, 13, 14],
 [6, -51, 1, 3, 53],
 [-8, 16, -14, -41, 12],
 [-41, -1, -5, -62, 10]]

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


[User]
Find the rank of the matrix:
[[-62, 1, -8, -12, 2],
 [-16, -2, -19, 7, -28],
 [-25, -18, 5, -12, -34],
 [-61, 2, -7, -20, 6],
 [8, 8, 26, 30, 52]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -7, -24, 14, 5],
 [-13, 13, 3, 11, 24],
 [3, 30, -27, 15, 9],
 [-8, -12, 48, -24, -6],
 [-4, -5, -6, 8, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[50, 48, 19, 22, -35],
 [37, 49, 5, 18, -39],
 [27, 34, -1, -11, -21],
 [20, -50, -54, 8, 16],
 [29, 62, -11, -18, -42]]

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


[User]
What is the rank of the matrix:
[[32, -28, -12, -36, -6],
 [40, -20, 36, -12, -54],
 [-18, 12, -6, 12, 15],
 [-34, 16, -34, 8, 49],
 [-35, 15, -40, 5, 55]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 3, -15, 12, -18],
 [0, 0, 0, 0, 0],
 [4, 2, -10, 8, -12],
 [10, 5, -25, 20, -30],
 [-2, -1, 5, -4, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -2, -12, 39, 42],
 [-9, 33, 28, 1, 9],
 [-4, -1, -40, -16, -10],
 [-1, -28, 29, 11, -19],
 [-4, -4, -37, -37, -40]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 36, -12, -30, 24],
 [-8, 30, -30, -55, -32],
 [15, 7, 2, 10, 29],
 [31, 11, 30, -10, 23],
 [30, 10, 24, 0, 32]]

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


[User]
Find the rank of the matrix:
[[-45, 33, -36, -16, 13],
 [-30, 12, -24, 6, 12],
 [35, -17, 28, -2, -13],
 [15, -24, 12, 27, 0],
 [-15, 6, -12, 3, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[31, 56, -24, -28, -29],
 [11, 4, -21, 34, -25],
 [-52, -43, 2, -9, 69],
 [39, 32, 7, -2, -49],
 [3, -4, -14, 28, -13]]

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


[User]
Find the rank of the matrix:
[[5, -15, 10, -15, 30],
 [1, -3, 2, -3, 6],
 [0, 0, 0, 0, 0],
 [2, -6, 4, -6, 12],
 [-2, 6, -4, 6, -12]]

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


[User]
What is the rank of the matrix:
[[-48, -18, -30, 6, 6],
 [18, 30, -6, 0, 18],
 [-10, 4, -12, 2, 8],
 [13, 1, 11, -2, -5],
 [12, 20, -4, 0, 12]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 20, -8, 16, 24],
 [2, 10, -4, 8, 12],
 [4, 20, -8, 16, 24],
 [5, 25, -10, 20, 30],
 [-1, -5, 2, -4, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-46, 25, -45, -11, 42],
 [-6, -6, 13, -33, 23],
 [18, -26, 46, -38, 4],
 [-8, -2, -18, 40, -20],
 [-36, 7, -45, 45, 8]]

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


[User]
Find the rank of the matrix:
[[-36, -24, 2, 11, 28],
 [-12, -6, 8, 2, 4],
 [8, -6, -42, 7, 24],
 [6, -3, -26, 4, 14],
 [-16, -6, 18, 1, 0]]

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


[User]
Determine the rank of the following matrix:
[[-36, -5, 37, -1, 8],
 [-16, -40, 24, -42, 30],
 [20, 35, -27, 36, -27],
 [12, 5, -13, 4, -5],
 [-12, 15, 9, 18, -9]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[21, -17, 16, -20, 15],
 [-18, 12, -12, 15, -12],
 [24, -22, 20, -25, 18],
 [18, -12, 12, -15, 12],
 [6, -22, 16, -20, 10]]

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


[User]
What is the rank of the matrix:
[[-15, 20, -5, 25, 0],
 [6, -8, 2, -10, 0],
 [-18, 24, -6, 30, 0],
 [-3, 4, -1, 5, 0],
 [-12, 16, -4, 20, 0]]?

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


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

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


[User]
Find the rank of the matrix:
[[-38, -12, -18, 10, 4],
 [-3, -26, -2, 34, -15],
 [30, -11, -11, -14, 14],
 [-4, -20, -32, 36, 4],
 [13, -53, -21, 32, -3]]

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


[User]
Determine the rank of the following matrix:
[[15, -1, -3, 10, -17],
 [27, -13, 1, 34, -37],
 [-6, 6, -2, -12, 10],
 [24, -10, 0, 28, -32],
 [-30, 2, 6, -20, 34]]

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


[User]
Determine the rank of the following matrix:
[[-11, 10, -14, -20, 1],
 [-24, -25, 8, 23, 16],
 [-12, 21, -30, -35, 8],
 [18, 28, -5, -32, -28],
 [15, 46, -17, -60, -39]]

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


[User]
Determine the rank of the following matrix:
[[12, 0, -20, -20, -24],
 [3, 0, -5, -5, -6],
 [-18, 0, 30, 30, 36],
 [3, 0, -5, -5, -6],
 [15, 0, -25, -25, -30]]

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


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

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


[User]
What is the rank of the matrix:
[[51, -10, -29, 2, 1],
 [-12, -31, 13, -25, 37],
 [54, 12, -41, -5, -4],
 [12, -5, 1, 27, -21],
 [53, 8, -44, -25, 15]]?

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


[User]
Find the rank of the matrix:
[[-4, -2, 8, 12, -6],
 [2, 7, -22, -39, 3],
 [-14, -1, 10, 9, -21],
 [-8, -4, 16, 24, -12],
 [-4, 0, 2, 1, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[18, -6, 0, 6, -15],
 [-18, 6, 0, -6, 15],
 [18, -6, 0, 6, -15],
 [-18, 6, 0, -6, 15],
 [-18, 6, 0, -6, 15]]?

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


[User]
Determine the rank of the following matrix:
[[11, 32, -8, 5, -6],
 [0, 16, -31, 24, -15],
 [17, 37, 7, -20, -9],
 [2, -49, 45, -11, 26],
 [11, 32, 35, -51, 8]]

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


[User]
Determine the rank of the following matrix:
[[11, 43, -16, 3, -6],
 [-18, -58, 32, -6, -12],
 [23, 39, -28, 4, 12],
 [32, 1, -2, -4, -27],
 [-14, -5, -18, 6, 57]]

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


[User]
Find the rank of the matrix:
[[-26, 10, -44, -26, -26],
 [15, 6, -12, 6, 15],
 [8, 10, -28, -2, 8],
 [10, -13, 46, 17, 10],
 [-44, -4, -8, -28, -44]]

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


[User]
What is the rank of the matrix:
[[-22, 21, 15, -2, -17],
 [-23, 33, -15, 20, -19],
 [-16, 12, 20, -8, -12],
 [16, -21, 5, -10, 13],
 [11, -6, -20, 10, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[-20, 2, -22, 0, -8],
 [-28, 14, -10, 0, 16],
 [-6, -5, -17, 0, -16],
 [-26, 4, -26, 0, -7],
 [-12, -3, -21, 0, -15]]

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


[User]
Determine the rank of the following matrix:
[[-2, 5, 2, -4, 6],
 [10, -25, -10, 20, -30],
 [-8, 20, 11, -10, 19],
 [-12, 30, 15, -18, 31],
 [-12, 30, 30, 12, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 21, 18, 8, 19],
 [-33, -20, 7, 17, 30],
 [-13, -15, -15, -15, 5],
 [2, 3, -18, -28, 7],
 [-29, -12, 15, 33, 70]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, 8, 60, 16, -64],
 [-47, 16, 1, -43, 1],
 [-25, 33, -20, -9, 19],
 [-9, 21, -11, 2, 11],
 [23, -16, -25, -5, 29]]

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


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

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


[User]
Find the rank of the matrix:
[[-6, 30, -30, -6, 24],
 [-1, 5, -5, -1, 4],
 [4, -20, 20, 4, -16],
 [2, -10, 10, 2, -8],
 [5, -25, 25, 5, -20]]

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


[User]
Find the rank of the matrix:
[[-12, -4, 16, -16, 8],
 [27, 9, -6, 36, -33],
 [3, 1, 18, 4, -13],
 [-12, -4, -24, -16, 28],
 [0, 0, -16, 0, 8]]

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


[User]
What is the rank of the matrix:
[[11, 24, 7, -19, 37],
 [3, -8, -9, 5, -11],
 [11, 4, -8, -5, 8],
 [-9, -16, -3, 13, -25],
 [-24, 24, 42, -12, 30]]?

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


[User]
Calculate the rank of matrix A where A =
[[-24, 20, -28, -12, -36],
 [6, -6, 3, 1, 4],
 [-36, 32, -34, -14, -44],
 [-18, 22, 7, 5, 8],
 [-6, 10, 13, 7, 16]]

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


[User]
Determine the rank of the following matrix:
[[6, -2, -4, -43, 4],
 [42, 20, 2, 8, -9],
 [-9, 9, 20, 19, -22],
 [-24, 8, 30, 23, -17],
 [-3, -7, -12, 40, 28]]

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


[User]
Determine the rank of the following matrix:
[[-15, -18, 24, 0, -27],
 [-6, -6, 30, 0, -24],
 [-10, -12, 16, 0, -18],
 [14, 17, -19, 0, 23],
 [11, 16, 30, 0, -11]]

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[User]
Calculate the rank of matrix A where A =
[[-10, 8, -12, -12, 12],
 [12, 24, -36, 18, -30],
 [-21, 28, -42, -24, 20],
 [22, -40, 60, 24, -16],
 [27, -16, 24, 33, -35]]

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


[User]
Find the rank of the matrix:
[[36, -13, 21, -24, 45],
 [-32, 20, -60, 27, -38],
 [20, -2, 34, 3, 4],
 [-26, -2, -18, -6, -8],
 [17, -11, 21, -18, 26]]

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


[User]
What is the rank of the matrix:
[[10, -8, -4, 0, -12],
 [2, -12, 24, -20, 24],
 [-30, 37, -19, 25, 3],
 [35, -41, 17, -25, -9],
 [15, 1, -37, 25, -51]]?

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


[User]
Determine the rank of the following matrix:
[[-18, 12, 15, -12, 12],
 [22, -22, -19, 19, -10],
 [20, -6, -16, 9, -18],
 [0, -44, -4, 26, 28],
 [-14, 46, 15, -31, -14]]

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


[User]
Find the rank of the matrix:
[[12, -66, 66, 84, 48],
 [23, 60, -19, -33, 0],
 [37, 17, 19, 4, -53],
 [-48, -15, -30, -27, -3],
 [-8, -25, 16, 33, 69]]

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[User]
Compute the rank of the given 5x5 matrix:
[[9, 50, 5, 6, -67],
 [-52, -23, -29, -31, -32],
 [-40, -38, -6, -8, 8],
 [-7, 60, -17, -8, -83],
 [-13, -17, -8, -19, -17]]

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

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[User]
Calculate the rank of matrix A where A =
[[53, -47, 43, 0, -16],
 [19, 9, 27, -2, 4],
 [-10, -16, -20, 50, -14],
 [16, -30, -5, 59, -10],
 [33, -67, -8, 41, -13]]

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


[User]
What is the rank of the matrix:
[[-12, -39, 18, -40, 37],
 [-6, 30, 3, 41, -27],
 [-22, -28, 23, -15, 31],
 [24, 60, -30, 54, -60],
 [-14, 1, 10, 16, 4]]?

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


[User]
What is the rank of the matrix:
[[20, 34, -9, -11, -33],
 [5, 4, -11, 6, -14],
 [5, 46, 14, -19, -34],
 [-10, -4, 22, -12, 23],
 [30, 42, -1, -29, -22]]?

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[User]
Find the rank of the matrix:
[[12, -3, 9, 3, -3],
 [-12, 0, -22, 8, -4],
 [-22, 13, 16, -33, 23],
 [26, -8, 13, 12, -10],
 [26, -11, 0, 23, -17]]

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


[User]
What is the rank of the matrix:
[[8, 4, -38, -44, 0],
 [50, -60, 35, -2, 52],
 [25, -15, -40, -52, 22],
 [-25, 33, -45, -14, -18],
 [-10, 12, 25, 10, -28]]?

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[User]
Determine the rank of the following matrix:
[[-4, -28, 28, 48, -24],
 [-6, -6, 10, 16, -12],
 [-6, 3, 2, 2, -6],
 [4, 28, -28, -48, 24],
 [-4, 8, -4, -8, 0]]

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[User]
Calculate the rank of matrix A where A =
[[-39, 30, 9, -28, -36],
 [7, 14, 5, 6, -8],
 [-23, -27, -3, -22, 26],
 [-41, 10, 16, -37, 6],
 [28, 7, -2, 24, -6]]

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


[User]
Find the rank of the matrix:
[[10, 28, -8, -26, -22],
 [1, 16, -5, -14, -13],
 [12, 16, -4, -16, -12],
 [12, 38, -11, -35, -30],
 [8, 40, -12, -36, -32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 29, 36, -16, 24],
 [-4, 40, 50, -17, 14],
 [37, -13, -34, 9, 18],
 [15, 1, 4, -7, -8],
 [-13, 9, 26, -15, 2]]

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


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

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[User]
Calculate the rank of matrix A where A =
[[-3, -3, 9, -6, 12],
 [-1, -13, 3, 4, 31],
 [6, -10, -18, 20, 12],
 [-1, -5, 3, 0, 13],
 [-2, -18, 6, 4, 44]]

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[User]
Calculate the rank of matrix A where A =
[[25, -50, -15, 25, -20],
 [-30, 48, 16, -24, 22],
 [5, 8, 0, -4, -1],
 [30, 12, -6, -6, -12],
 [30, -48, -16, 24, -22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -1, -1, 22, -6],
 [-12, 1, 32, -12, -18],
 [26, 12, -32, 22, -26],
 [9, 11, -29, -10, -2],
 [18, -42, 30, 66, -14]]

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


[User]
Determine the rank of the following matrix:
[[-35, 17, 0, -50, -19],
 [-4, 0, -8, 24, -14],
 [5, -5, 34, -26, -3],
 [14, -3, 4, 15, 7],
 [-16, 29, 21, -54, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 3, -10, -3, 8],
 [4, -24, 52, 12, -36],
 [12, -30, 16, -6, 4],
 [20, -45, 10, -15, 20],
 [8, -24, 24, 0, -8]]

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

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


[User]
Determine the rank of the following matrix:
[[16, 36, -9, -29, -54],
 [-24, -26, 3, 25, 64],
 [15, -63, -12, 6, -6],
 [-12, -10, -34, -16, 18],
 [-25, 33, -3, -1, 36]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[24, 0, -30, 12, -18],
 [8, 0, -10, 4, -6],
 [12, 0, -15, 6, -9],
 [-4, 0, 5, -2, 3],
 [-16, 0, 20, -8, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, 18, -30, 0, 6],
 [10, -6, 10, 0, -2],
 [5, -3, 5, 0, -1],
 [-25, 15, -25, 0, 5],
 [10, -6, 10, 0, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 54, -8, 8, -1],
 [0, -60, 14, -11, 5],
 [39, 8, -20, 15, 8],
 [-18, -66, 60, -30, 9],
 [24, -48, 8, -7, -18]]

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


[User]
Find the rank of the matrix:
[[18, -18, -12, -18, 6],
 [12, -12, -8, -12, 4],
 [-6, 6, 4, 6, -2],
 [-36, 36, 24, 36, -12],
 [-24, 24, 16, 24, -8]]

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


[User]
Determine the rank of the following matrix:
[[25, 30, 5, 15, -25],
 [6, 1, 2, -2, -7],
 [20, 55, 0, 40, -15],
 [29, 10, 9, -5, -33],
 [-26, -25, -6, -10, 27]]

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


[User]
Find the rank of the matrix:
[[-2, -10, -26, -20, 0],
 [-50, 29, -5, -4, -46],
 [49, -18, 29, 12, 16],
 [5, -25, -42, -41, -18],
 [-41, 12, 5, 0, -60]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, -15, -13, -18, 22],
 [1, -1, 60, -34, -35],
 [-22, -24, 35, -43, -10],
 [-71, -54, 34, 7, -59],
 [21, 51, -17, 17, 9]]

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[User]
Calculate the rank of matrix A where A =
[[46, -20, -35, 18, 7],
 [-31, 75, 41, -60, -1],
 [39, 16, -28, -12, 25],
 [-24, 46, 28, -36, -4],
 [-16, 42, 29, -26, -33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 15, -13, 18, -21],
 [-20, -19, 30, 26, 6],
 [-14, 7, 1, 38, -25],
 [6, 55, -49, 26, -37],
 [8, -13, 8, -30, 26]]

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


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

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


[User]
What is the rank of the matrix:
[[36, 24, 3, 45, 22],
 [21, 12, -18, 32, 12],
 [17, 16, 48, 42, 17],
 [49, 50, 6, 6, 47],
 [-33, -30, -19, -37, -30]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -6, -8, 54, 0],
 [0, 3, 6, 15, 0],
 [-10, -12, -22, -18, 0],
 [5, 3, 5, -6, 0],
 [25, 20, 35, -5, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, 24, 12, 0, -12],
 [15, -30, -15, 0, 15],
 [-9, 18, 9, 0, -9],
 [18, -36, -18, 0, 18],
 [-18, 36, 18, 0, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 40, -68, -32, 18],
 [14, -19, -33, -8, 7],
 [4, -17, -5, -12, 2],
 [-13, 24, -39, -1, -25],
 [5, -33, 10, -3, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, 5, -30, -4, -1],
 [-31, -28, 1, 14, 16],
 [36, 41, -9, -16, -6],
 [-52, -47, 6, 32, 21],
 [-29, -39, 18, 34, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -6, 10, -8, 2],
 [20, 15, -25, 20, -5],
 [12, 9, -15, 12, -3],
 [16, 12, -20, 16, -4],
 [4, 3, -5, 4, -1]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -51, -16, -22, 20],
 [-60, 39, -6, -2, 0],
 [-4, -30, 8, -30, 14],
 [-26, 0, -38, 25, 1],
 [-5, -40, 7, -36, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 0, 10, -25, -18],
 [51, -7, -10, 28, 9],
 [-20, -39, -7, -31, -25],
 [39, 21, -46, 15, 71],
 [24, -7, -9, -11, 1]]

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


[User]
Find the rank of the matrix:
[[-31, 30, 17, 26, -13],
 [-10, 7, -33, 52, 26],
 [-38, 43, 63, 7, -50],
 [-20, 1, -17, 41, 4],
 [-1, -26, -53, 44, 29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 3, 15, -24, 5],
 [17, 37, 10, 14, -32],
 [-38, -37, -40, 40, 5],
 [-15, -28, -9, -3, 12],
 [15, 45, 20, -29, -27]]

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


[User]
Calculate the rank of matrix A where A =
[[16, -49, 57, 37, -7],
 [6, 2, 10, 8, -4],
 [-1, 30, -21, -5, -9],
 [-7, -11, -11, 2, -8],
 [-10, 46, -44, -28, 4]]

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


[User]
What is the rank of the matrix:
[[-4, -43, -43, -5, 7],
 [-13, 5, 21, 11, 17],
 [9, -7, -17, -1, -1],
 [14, -8, -19, 20, 29],
 [-4, 7, 7, -23, -35]]?

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


[User]
Calculate the rank of matrix A where A =
[[54, -15, -15, -24, -33],
 [-48, 25, -3, 41, 13],
 [36, -15, -16, -17, -15],
 [0, -30, -8, -22, 42],
 [14, -30, -1, -31, 28]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 2, -5, 1, -9],
 [16, -12, -38, 14, -22],
 [2, -2, -12, 4, -10],
 [-29, 19, 29, -13, 0],
 [-19, 13, 27, -11, 8]]

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


[User]
What is the rank of the matrix:
[[3, 18, 3, -9, 15],
 [6, 36, 6, -18, 30],
 [2, 12, 2, -6, 10],
 [-4, -24, -4, 12, -20],
 [1, 6, 1, -3, 5]]?

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


[User]
Calculate the rank of matrix A where A =
[[28, -12, -5, -12, -25],
 [-13, 40, 14, 5, 19],
 [-33, 27, -20, 7, 39],
 [7, 4, 26, 19, 11],
 [15, -62, -32, -11, -27]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 26, -41, 32, -11],
 [5, 13, 16, 29, -15],
 [-15, 21, 15, 9, -21],
 [-15, 25, -58, 25, -1],
 [28, -27, 10, -1, 17]]

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


[User]
Determine the rank of the following matrix:
[[-17, 0, -3, -1, 15],
 [23, 27, 8, 3, 1],
 [-29, 45, 30, -1, 57],
 [-9, -33, 28, -5, -23],
 [-44, -24, -12, -4, 20]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, 45, -22, -41, 10],
 [-2, -9, 6, 5, -4],
 [-10, 12, 32, -6, -30],
 [0, 15, 2, -3, -3],
 [-2, 18, 0, -34, -7]]

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


[User]
Find the rank of the matrix:
[[13, 85, 7, -22, -15],
 [-11, 13, 11, -4, -4],
 [-54, -6, 30, -54, -45],
 [38, 2, -27, 10, 11],
 [-21, 51, 29, 0, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -15, -14, 30, 2],
 [15, -6, 5, -6, -3],
 [-9, 13, 3, -16, 10],
 [-14, 2, -14, 14, -52],
 [24, -6, -5, -12, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[7, -6, 1, -2, -9],
 [13, -4, -6, -13, -16],
 [-19, 12, 2, 11, 24],
 [-2, 6, -5, -5, 3],
 [3, 6, -9, -12, -3]]

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


[User]
Determine the rank of the following matrix:
[[-9, -3, 0, 6, -6],
 [17, 14, -25, -23, -7],
 [12, -6, 30, 6, 30],
 [5, -5, 20, 6, 18],
 [-19, -8, 5, 15, -9]]

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


[User]
What is the rank of the matrix:
[[-18, 18, 6, -9, 15],
 [18, -18, -6, 9, -15],
 [-36, 36, 12, -18, 30],
 [12, -12, -4, 6, -10],
 [12, -12, -4, 6, -10]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-28, -9, 3, -34, 29],
 [-30, 16, 39, 44, 4],
 [-45, 14, 39, 50, 0],
 [-27, -8, -6, 26, -26],
 [23, 11, -48, -32, -7]]

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


[User]
What is the rank of the matrix:
[[59, -55, 7, -20, -12],
 [-8, 28, -1, -25, -24],
 [-59, 51, -11, 0, -6],
 [27, -31, 5, 10, 12],
 [-8, 8, -6, -30, -28]]?

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


[User]
Determine the rank of the following matrix:
[[-15, 3, -24, 24, -27],
 [-12, -8, -16, 20, -12],
 [-16, 27, -11, 3, -15],
 [-3, 8, 28, -29, 45],
 [10, -4, 21, -20, 27]]

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


[User]
Find the rank of the matrix:
[[15, -10, 15, 0, -10],
 [-3, 2, -3, 0, 2],
 [9, -6, 9, 0, -6],
 [-9, 6, -9, 0, 6],
 [15, -10, 15, 0, -10]]

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


[User]
Find the rank of the matrix:
[[-1, 5, -5, -1, 5],
 [-5, 25, -25, -5, 25],
 [3, -15, 15, 3, -15],
 [-4, 20, -20, -4, 20],
 [5, -25, 25, 5, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 6, 13, -19, 7],
 [-5, 6, -17, 41, -13],
 [-7, -12, -17, 20, -8],
 [1, 24, -5, 38, -10],
 [6, 12, 14, -14, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, -8, -20, -12, -20],
 [0, 0, 0, 0, 0],
 [-10, 4, 10, 6, 10],
 [25, -10, -25, -15, -25],
 [20, -8, -20, -12, -20]]

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


[User]
Find the rank of the matrix:
[[-23, 12, 6, 1, 6],
 [39, -30, -31, -2, -18],
 [-38, 22, 14, 15, -1],
 [-29, 18, 17, 24, -8],
 [-28, 4, -10, 19, -13]]

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


[User]
Find the rank of the matrix:
[[20, 25, 17, -3, 38],
 [-1, -2, -1, -77, -3],
 [-78, -33, 15, -37, -1],
 [93, 29, 2, 24, 7],
 [-49, -16, 23, -11, 17]]

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


[User]
What is the rank of the matrix:
[[-6, 13, 10, -13, -3],
 [36, -14, 36, -2, 2],
 [-12, 30, 26, -31, -7],
 [-24, 16, -14, -7, -3],
 [-36, 10, -42, 7, -1]]?

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


[User]
Find the rank of the matrix:
[[28, 33, 31, 6, -19],
 [0, 18, 1, -21, -9],
 [0, -3, 15, 10, -5],
 [-8, -3, 27, 6, -13],
 [-36, -42, -23, -1, 17]]

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


[User]
What is the rank of the matrix:
[[-21, -29, 24, -10, 3],
 [-4, 16, -9, 16, 12],
 [21, 49, -39, 35, 12],
 [27, 55, -45, 38, 11],
 [17, 5, -9, -3, -10]]?

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


[User]
Determine the rank of the following matrix:
[[5, -55, 16, 17, 4],
 [35, 0, 40, -28, 24],
 [-21, 25, 24, -23, -2],
 [-29, 0, -8, 20, -40],
 [6, -15, -52, 49, -40]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[48, -36, -51, 6, 12],
 [36, -23, -17, -29, -8],
 [-1, 4, -32, 0, -29],
 [20, -36, -19, -20, 14],
 [50, -16, -37, 4, -4]]

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


[User]
Find the rank of the matrix:
[[-21, 15, -6, 3, -12],
 [-10, 8, 4, 4, -8],
 [-5, 4, 2, 2, -4],
 [5, -4, -2, -2, 4],
 [-20, 13, -16, -1, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, 3, -40, -12, 15],
 [-42, -31, 23, -54, 31],
 [6, 24, -30, 12, 48],
 [-16, 4, 17, 18, -15],
 [43, 13, 0, 42, -60]]

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


[User]
Find the rank of the matrix:
[[8, 36, -4, 0, -8],
 [-14, -6, -26, -24, -28],
 [3, 4, 4, 4, 4],
 [-18, -5, -35, -32, -38],
 [21, 9, 39, 36, 42]]

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


[User]
Determine the rank of the following matrix:
[[-21, 0, 30, 12, -15],
 [28, 14, -1, 15, 18],
 [37, 24, 14, 32, 23],
 [-3, -8, -18, -16, -1],
 [5, 4, 4, 6, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, -32, 27, 48, 39],
 [-5, -21, 18, 28, 21],
 [16, 12, -19, 17, 1],
 [-23, 38, -36, -43, -42],
 [46, 22, -26, 2, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[21, 9, 12, 0, 3],
 [29, 9, 12, 6, 15],
 [20, 29, 13, -13, -49],
 [38, 33, 55, -39, -53],
 [6, -8, 26, -14, 16]]

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


[User]
Find the rank of the matrix:
[[-26, 3, 2, -15, -48],
 [28, -2, 4, 18, 48],
 [-2, -5, -26, -9, 12],
 [0, 6, 30, 9, -18],
 [-4, 4, 18, 3, -18]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-17, 10, -2, -28, 2],
 [-18, -13, -49, -9, 23],
 [-23, -31, -3, 11, 53],
 [0, 3, 3, 39, 1],
 [-19, -4, -14, 16, 21]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-70, -6, 8, -25, 18],
 [-61, -42, 2, -14, 8],
 [-18, 48, 54, -12, -12],
 [-12, -5, 12, -3, -3],
 [87, 21, -2, 20, -7]]

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


[User]
Determine the rank of the following matrix:
[[33, -48, -8, 9, 32],
 [23, -22, -26, -29, 14],
 [-16, 15, 21, 14, -19],
 [-1, -3, 7, 17, 7],
 [19, -27, -8, 10, 27]]

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


[User]
Find the rank of the matrix:
[[-2, 15, -33, -5, 16],
 [18, 30, -18, 0, 6],
 [21, 2, 42, 9, -23],
 [-8, -6, -6, -2, 4],
 [-10, -13, 3, -1, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 4, 20, 24, 8],
 [36, -6, -30, -36, -12],
 [-36, 6, 30, 36, 12],
 [12, -2, -10, -12, -4],
 [6, -1, -5, -6, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -19, 2, 9, 2],
 [13, 20, 9, -1, -9],
 [-15, 21, -27, -30, 15],
 [19, 38, 6, -28, 18],
 [-39, -34, -32, 10, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, -3, -18, 12, 18],
 [36, -12, -30, 30, 12],
 [-3, 1, 13, -7, -16],
 [-15, 5, 9, -11, 0],
 [18, -6, -1, 9, -14]]

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


[User]
What is the rank of the matrix:
[[0, 18, 12, -3, 0],
 [0, 30, 20, -5, 0],
 [0, 6, 4, -1, 0],
 [0, -6, -4, 1, 0],
 [0, -24, -16, 4, 0]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[18, 31, 1, 26, -29],
 [-24, 5, 21, 2, 29],
 [18, -44, 26, -48, 40],
 [5, -28, 4, -27, 37],
 [40, -5, -16, -5, -14]]

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


[User]
Find the rank of the matrix:
[[3, -24, -18, -15, -18],
 [-12, 34, 49, 30, 42],
 [0, 30, -25, -10, -10],
 [12, 28, -26, 0, -12],
 [-12, 26, 9, 1, 13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, 25, -46, -48, 26],
 [30, 31, -38, -36, 54],
 [16, -9, -46, -50, -8],
 [27, -30, 24, 27, -9],
 [15, 1, 2, 4, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[11, -1, 11, -1, 4],
 [26, -1, 26, 2, 19],
 [3, -3, 3, -9, -18],
 [16, -1, 16, 0, 9],
 [-32, 2, -32, 0, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[11, 17, 32, -6, 13],
 [-17, -18, -23, 23, -11],
 [-5, -50, -35, -33, 5],
 [9, 9, 54, 0, 27],
 [-4, -15, -25, -8, -7]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[48, -30, -22, -2, -32],
 [12, -30, -18, 12, 12],
 [-28, 34, 22, -8, 4],
 [-4, 19, 11, -9, -12],
 [4, -19, -11, 9, 12]]

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


[User]
Determine the rank of the following matrix:
[[-10, -35, 29, -4, 43],
 [54, 63, -88, 1, -34],
 [-5, 22, -15, 6, 10],
 [-23, -42, 51, 10, -2],
 [46, 14, -48, 20, -14]]

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


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

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


[User]
Find the rank of the matrix:
[[-58, -36, -33, -46, -15],
 [58, 4, 4, 12, -10],
 [-18, -12, 24, 18, -6],
 [-6, -5, -2, -3, 0],
 [27, -2, -2, -6, -35]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -11, 42, 4, 32],
 [-31, 21, -26, -2, -26],
 [-44, 26, -22, 8, -26],
 [63, -27, -20, -30, 0],
 [48, -21, 2, -36, 12]]

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


[User]
Determine the rank of the following matrix:
[[-34, -42, -12, -20, -11],
 [34, 18, 1, -19, -17],
 [16, 39, 18, 40, 28],
 [16, 0, -23, -19, -20],
 [-34, -42, -12, -20, -11]]

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


[User]
Find the rank of the matrix:
[[-6, -18, 2, -30, -23],
 [36, 26, 3, 12, -6],
 [18, -6, 3, -30, -33],
 [24, 41, 25, 16, -9],
 [48, 18, -16, 16, 2]]

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


[User]
Find the rank of the matrix:
[[-5, -15, -5, 0, -5],
 [-6, -18, -6, 0, -6],
 [-6, -18, -6, 0, -6],
 [5, 15, 5, 0, 5],
 [2, 6, 2, 0, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[19, 4, -20, 13, -41],
 [-63, -47, 2, 32, 48],
 [-32, -10, 21, -8, 38],
 [-37, -40, -6, 25, 71],
 [7, 5, 25, -2, -24]]

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


[User]
Determine the rank of the following matrix:
[[-16, 60, 22, -20, 12],
 [30, 25, -18, -16, -3],
 [-12, -23, 1, 14, 51],
 [-51, 10, 15, -5, 38],
 [-25, 32, 33, 0, 31]]

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


[User]
Find the rank of the matrix:
[[-7, 52, -13, 44, -27],
 [-24, 32, -38, 76, 18],
 [34, 12, -10, 8, -36],
 [-29, 12, -1, 14, 15],
 [23, -40, 33, -58, 11]]

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


[User]
Find the rank of the matrix:
[[-3, -31, -56, -1, -7],
 [-4, 3, -16, 51, -9],
 [-18, 49, -1, -16, -12],
 [31, -4, 23, 65, 26],
 [-34, -4, 21, 1, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[33, -1, -51, -47, 4],
 [-30, 12, 48, -4, -40],
 [-17, 11, 28, -19, -38],
 [-13, -22, 32, 12, -39],
 [21, -2, -30, -36, -13]]

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


[User]
What is the rank of the matrix:
[[31, 3, -30, -31, 20],
 [-28, -34, -30, -28, 3],
 [-20, 47, 38, -45, -32],
 [18, -24, -6, -48, -18],
 [20, -82, -24, 38, 4]]?

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


[User]
Calculate the rank of matrix A where A =
[[28, 6, 6, -8, 6],
 [-8, -4, 0, -4, -2],
 [30, 4, -30, -28, 4],
 [4, 1, -15, -6, 0],
 [42, 2, -24, -44, 6]]

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


[User]
Determine the rank of the following matrix:
[[12, 0, -6, -3, 0],
 [-39, 30, 42, -24, -45],
 [-34, 20, 32, -14, -30],
 [-36, 32, 42, -27, -48],
 [-13, 2, 8, 1, -3]]

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


[User]
Determine the rank of the following matrix:
[[20, -32, -14, 29, 11],
 [-41, -19, -27, 19, 35],
 [29, 1, 7, 1, -6],
 [103, 23, 52, -18, 49],
 [-35, -31, -35, 26, -49]]

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


[User]
Calculate the rank of matrix A where A =
[[7, 20, -37, 30, -6],
 [5, 5, 6, -19, -1],
 [24, 6, 13, -24, 17],
 [35, -28, 26, 18, 53],
 [-7, 22, -35, 6, -30]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 26, -51, -12, 15],
 [42, 1, 30, -81, 48],
 [0, 6, -30, -3, 6],
 [8, 15, 31, -2, -9],
 [6, 74, -24, 14, -12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 5, 30, -15, 30],
 [-6, 2, 6, -12, -54],
 [3, 1, 9, 0, 39],
 [6, -4, -18, 18, 42],
 [-6, 11, 60, -39, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-30, -14, -6, 38, 22],
 [-11, 28, -16, 23, -22],
 [18, 20, 0, -16, -24],
 [-33, -7, -21, 12, 19],
 [5, -42, 22, -11, 36]]?

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


[User]
Find the rank of the matrix:
[[-5, -20, -4, -6, 16],
 [-21, -25, 1, -22, 37],
 [-11, 18, 12, 16, 30],
 [-8, -13, -2, -25, -1],
 [-11, -2, 5, 3, 28]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, 18, -24, 6, -37],
 [17, -12, 12, -5, -11],
 [3, -9, 9, -9, 21],
 [40, -24, 17, -26, 13],
 [11, 2, 36, -43, 25]]

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


[User]
What is the rank of the matrix:
[[7, -27, 39, -4, 7],
 [34, 8, 22, -30, 10],
 [44, 8, 38, -30, 32],
 [-24, 3, -38, 1, -50],
 [12, 14, 12, 18, 64]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 2, -14, -18, 0],
 [8, 6, -2, -2, -20],
 [-20, 6, -22, -28, -10],
 [-36, 8, -36, -46, -10],
 [-20, 6, -22, -28, -10]]

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


[User]
Find the rank of the matrix:
[[-17, -10, 7, -31, 17],
 [2, 17, 10, 92, 35],
 [-57, -6, -6, 42, -42],
 [-14, -17, -21, 57, -2],
 [1, -28, -28, 70, 32]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 24, 16, 20, -16],
 [-1, 6, -4, 25, 4],
 [-8, -40, -32, -20, 32],
 [-3, -20, -12, -20, 12],
 [7, 40, 28, 30, -28]]

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


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

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


[User]
Find the rank of the matrix:
[[73, -17, -23, 36, -6],
 [-1, -30, 23, 10, 0],
 [-15, -21, 3, 0, -12],
 [-6, -32, -21, 6, -31],
 [-31, 7, 32, -14, 17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 6, -33, -3, -24],
 [-28, -2, 54, 10, 42],
 [-21, -13, 50, 2, 35],
 [-20, 15, 25, 15, 25],
 [-5, 21, -8, 12, 1]]

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


[User]
Find the rank of the matrix:
[[-23, 14, -37, 8, 4],
 [-24, 0, -25, 7, 7],
 [-18, 12, -34, 12, 4],
 [59, 10, 44, -5, -17],
 [-14, -1, -5, -8, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[11, -3, 13, 21, -22],
 [-25, 15, 25, 15, 20],
 [20, -15, -40, -35, -5],
 [-15, 9, 15, 9, 12],
 [17, -9, -9, -1, -18]]

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


[User]
Determine the rank of the following matrix:
[[3, -6, -12, -18, -24],
 [21, -29, 33, -9, 27],
 [-19, 26, -32, 6, -28],
 [18, -24, 36, 0, 36],
 [-19, 27, -23, 15, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[-17, 14, 33, 31, 18],
 [40, -22, -1, -28, -3],
 [-37, -32, 29, -53, -13],
 [24, -19, 21, -31, 9],
 [-19, 16, 3, 9, 11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[57, -42, -54, 0, -12],
 [-3, 6, 24, -22, 44],
 [79, 24, 8, 6, 6],
 [27, 5, -3, 13, -19],
 [-48, 3, 10, 2, -7]]

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


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

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


[User]
Find the rank of the matrix:
[[-22, -40, 29, 33, 17],
 [-18, -30, 36, 12, 18],
 [1, -1, -14, 14, -5],
 [26, 46, -40, -32, -22],
 [-12, -24, 6, 30, 6]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, 17, 20, -5, 31],
 [29, 4, -17, -38, -21],
 [1, 10, -10, 30, 20],
 [-29, 22, 9, 11, -20],
 [5, 10, 31, -76, -43]]

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


[User]
Find the rank of the matrix:
[[5, 1, 10, -16, -8],
 [9, -3, -31, 12, -4],
 [-3, -39, -8, -24, 28],
 [2, -18, -17, -4, 11],
 [-4, 28, 13, 20, -14]]

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


[User]
What is the rank of the matrix:
[[-30, -30, -20, 0, 10],
 [-18, -18, -12, 0, 6],
 [24, 24, 16, 0, -8],
 [-36, -36, -24, 0, 12],
 [-6, -6, -4, 0, 2]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-53, -51, 42, 9, -15],
 [-28, -34, -4, 2, -12],
 [-43, -54, 6, 18, -18],
 [19, 15, -45, -22, 1],
 [10, 0, -24, 4, -4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-17, -10, -11, 27, -26],
 [-49, 15, -11, 24, -46],
 [24, 13, -3, -25, 32],
 [-28, 22, -15, -4, -7],
 [15, -24, 18, 7, -1]]?

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


[User]
Determine the rank of the following matrix:
[[-9, -14, -16, -21, -16],
 [-24, -35, -8, 22, 28],
 [-21, -25, -28, -28, -23],
 [0, -16, 4, 9, 19],
 [-27, -20, -28, -18, -21]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 0, -9, 8, 2],
 [-1, 20, -7, 4, -4],
 [-4, -4, 14, -12, -2],
 [5, -10, -10, 10, 5],
 [-1, 20, -7, 4, -4]]

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


[User]
Determine the rank of the following matrix:
[[31, -33, -18, 2, -18],
 [-44, 48, 24, -6, 28],
 [-17, 3, 30, 40, -22],
 [0, -18, 24, 49, -38],
 [12, 0, -24, -34, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[29, -18, -19, 7, 3],
 [78, 20, 13, -40, 49],
 [-33, -12, -41, 47, -26],
 [-57, 42, 26, -5, -4],
 [0, 37, -15, 3, 9]]

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


[User]
Find the rank of the matrix:
[[-28, -54, 44, 6, -1],
 [9, 3, 12, 0, 15],
 [8, 4, -10, -10, -21],
 [1, 7, -24, -8, -29],
 [20, 14, 4, -6, 9]]

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


[User]
Determine the rank of the following matrix:
[[5, 15, 23, 14, -3],
 [23, 5, 19, 12, -4],
 [23, -13, -12, -7, -15],
 [-74, 46, 32, 18, 22],
 [-43, 1, -20, -13, 9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 0, -30, 12, -18],
 [4, 0, 5, -2, 3],
 [24, 0, 30, -12, 18],
 [-16, 0, -20, 8, -12],
 [0, 0, 0, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -12, 28, -25, -15],
 [-8, -8, 52, -40, -10],
 [20, -28, 22, -28, -35],
 [27, -36, 24, -33, -45],
 [-28, 32, -8, 20, 40]]

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


[User]
What is the rank of the matrix:
[[58, -14, -2, 34, 48],
 [-45, 37, 21, -45, -47],
 [-14, -21, -15, -14, 4],
 [20, -21, -19, 46, 14],
 [-9, -34, -20, -3, 15]]?

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


[User]
What is the rank of the matrix:
[[-23, 24, 16, -34, 9],
 [-42, 26, 22, -12, 34],
 [-37, -5, 25, 34, 47],
 [11, 4, -12, -6, -13],
 [-8, -7, 3, 24, 16]]?

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


[User]
Find the rank of the matrix:
[[27, -9, -19, 11, -41],
 [-3, 16, 1, -12, 13],
 [-81, 36, 15, -18, 36],
 [-66, 31, -8, -43, 11],
 [54, -20, -10, 28, -34]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, -6, -11, -34, 13],
 [-1, 7, -9, -25, 16],
 [13, 25, 47, 3, 15],
 [4, 30, 46, 1, 20],
 [-23, -10, 25, -70, 42]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -11, 4, 1, 14],
 [12, 4, -8, 16, -16],
 [12, 4, -8, 16, -16],
 [-30, 32, -10, -7, -38],
 [12, -10, 2, 5, 10]]

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


[User]
Determine the rank of the following matrix:
[[-49, 4, -32, -25, 45],
 [31, 14, 23, 10, -30],
 [31, -40, 14, 29, -25],
 [9, 18, 9, -2, -10],
 [24, 30, 21, 1, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, -10, 11, -2, 2],
 [-4, 10, 24, -26, 12],
 [29, -30, 13, 10, -2],
 [-39, 45, 3, -33, 12],
 [33, -35, 11, 15, -4]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, -24, -10, -12, 20],
 [5, -18, 22, -24, -8],
 [0, -19, 14, -14, 8],
 [3, 12, 6, -4, -24],
 [-18, 42, -60, 68, 36]]

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


[User]
Find the rank of the matrix:
[[15, -36, 15, 9, -12],
 [-14, -75, 9, 26, 4],
 [-10, 42, -22, -14, 0],
 [-28, -3, -4, 8, 28],
 [27, -3, 1, -7, -32]]

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


[User]
Find the rank of the matrix:
[[-12, 8, 4, -20, 12],
 [12, -14, -16, -10, -3],
 [15, -10, -5, 25, -15],
 [-30, 28, 26, -10, 18],
 [39, -38, -37, 5, -21]]

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


[User]
What is the rank of the matrix:
[[-87, 82, 44, 45, -19],
 [-1, -3, 27, 9, 31],
 [1, -4, 27, 11, 48],
 [27, -32, 32, 3, 73],
 [56, -64, -19, -29, 6]]?

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


[User]
Find the rank of the matrix:
[[-13, 16, 37, -11, -1],
 [-37, -23, 19, -11, -13],
 [15, -6, -27, 9, 3],
 [-30, -15, 20, -10, -10],
 [-14, -16, -2, -2, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[18, 1, -18, -30, -27],
 [39, -35, -6, -27, -7],
 [57, 20, -60, -3, 10],
 [-51, 6, -20, -30, -13],
 [11, -21, 38, 53, 49]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -56, -3, 9, -44],
 [-30, 12, -17, 1, -24],
 [16, -47, -34, 13, -14],
 [8, 6, -13, 6, 24],
 [-34, 23, -26, 8, -10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, -21, -18, 3, -1],
 [16, 25, 30, -9, -15],
 [14, 52, 36, -4, 2],
 [1, -10, -18, 4, -11],
 [17, 13, 0, -1, -30]]

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


[User]
Find the rank of the matrix:
[[50, -20, 30, -25, -10],
 [-50, 20, -30, 25, 10],
 [2, -8, 6, -10, -13],
 [6, 24, -14, 30, 45],
 [52, -16, 28, -20, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, -35, -23, 17, 1],
 [-22, 38, 16, 2, 24],
 [13, -2, 5, -5, -46],
 [-15, -20, -5, -19, 12],
 [22, 7, -13, 40, 38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -1, 22, 12, -5],
 [-14, 5, 16, -4, -17],
 [-9, -7, 1, 16, 16],
 [23, 13, -7, -32, -28],
 [7, -8, -13, 12, 23]]

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


[User]
Determine the rank of the following matrix:
[[29, 21, 16, 0, 30],
 [61, 34, 31, -3, 32],
 [-29, -10, -21, -9, -21],
 [-13, -15, 4, 18, 9],
 [-23, -29, -2, 18, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-17, 35, -8, 26, 42],
 [7, 15, -5, -8, -27],
 [31, -27, -2, 12, 32],
 [-18, 58, -12, -16, -12],
 [-10, 25, -6, 29, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 17, 4, 10, 17],
 [-15, 2, 16, -4, 24],
 [5, 16, 8, 8, 22],
 [15, -12, -24, 0, -42],
 [15, 3, -12, 6, -15]]

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


[User]
Determine the rank of the following matrix:
[[-16, 0, 15, 17, -27],
 [-31, -51, -3, 28, -15],
 [0, 12, 6, 2, -6],
 [-14, -3, -19, 31, 33],
 [-6, -27, 14, -10, -36]]

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


[User]
Determine the rank of the following matrix:
[[10, -9, 9, -13, -4],
 [0, -4, -12, -20, 24],
 [-15, 11, -21, 7, 21],
 [-25, 23, -21, 35, 7],
 [25, -16, 42, 0, -49]]

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


[User]
What is the rank of the matrix:
[[39, -20, 10, -18, -7],
 [40, -2, -1, 70, -8],
 [-15, 38, 9, 47, 12],
 [-13, 24, -18, 51, -10],
 [-7, 8, 26, -19, 23]]?

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


[User]
Calculate the rank of matrix A where A =
[[-20, -15, -25, -5, 20],
 [0, 0, 0, 0, 0],
 [8, 6, 10, 2, -8],
 [24, 18, 30, 6, -24],
 [-4, -3, -5, -1, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -3, -21, -9, -5],
 [26, -4, -6, 32, -14],
 [-8, -6, 32, 6, 0],
 [-7, -5, -25, -26, -3],
 [-1, -4, 33, 17, -1]]

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


[User]
Determine the rank of the following matrix:
[[18, 3, -13, -24, 0],
 [14, 4, -24, -28, -10],
 [15, 6, -28, -30, -9],
 [-8, -13, 23, 12, -10],
 [-5, 11, -13, 6, 11]]

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


[User]
What is the rank of the matrix:
[[38, -8, -24, -20, -10],
 [-12, 6, 4, 4, 4],
 [-39, 3, 30, 24, 9],
 [-1, -5, 6, 4, -1],
 [34, 5, -34, -26, -6]]?

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


[User]
Find the rank of the matrix:
[[30, -30, -15, -15, -5],
 [-36, 36, 18, 18, 6],
 [6, -6, -3, -3, -1],
 [-30, 30, 15, 15, 5],
 [24, -24, -12, -12, -4]]

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


[User]
What is the rank of the matrix:
[[-4, -12, -4, 8, -16],
 [-1, -3, -1, 2, -4],
 [-26, -36, 37, 10, 15],
 [14, 18, -22, -4, -12],
 [-10, -6, 26, -4, 28]]?

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


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

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


[User]
What is the rank of the matrix:
[[60, -20, -2, 30, 8],
 [33, 4, 0, -20, 7],
 [-6, -36, -34, 26, 38],
 [16, -55, -18, 41, 14],
 [24, -32, -12, 13, 13]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 37, -39, 16, 46],
 [0, -11, 15, -14, -20],
 [0, -30, 18, 24, -12],
 [0, 21, -7, -32, -2],
 [0, 27, -19, -14, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, 16, -31, -5, -11],
 [-6, 12, -20, -20, -13],
 [0, 21, -2, 31, -1],
 [-20, 56, 22, -26, -38],
 [-6, 24, 28, -2, -13]]

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


[User]
Find the rank of the matrix:
[[-14, 4, -3, -11, -12],
 [-24, 2, -3, -9, -22],
 [5, 17, 23, -38, 27],
 [22, -6, -4, 18, 14],
 [4, -7, -3, 16, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 54, -6, 30, 36],
 [2, 6, 10, 12, 2],
 [-26, 48, -16, 18, 34],
 [31, -12, 60, 41, -19],
 [-15, 18, -18, -3, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 28, 50, -32, -3],
 [-11, -5, 3, -4, 6],
 [30, -4, -22, 2, -20],
 [30, -6, -21, -3, -21],
 [5, -10, 1, -23, -8]]

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


[User]
Find the rank of the matrix:
[[31, 2, -1, -39, -33],
 [15, -10, 15, -15, -25],
 [-8, -6, 8, 12, 4],
 [-11, 13, -19, 9, 23],
 [4, 20, -28, -12, 12]]

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


[User]
Determine the rank of the following matrix:
[[24, 4, -6, 4, -48],
 [8, 2, -11, -46, 28],
 [17, 28, -4, -24, 7],
 [-15, 24, 20, 52, -3],
 [-5, 4, 4, 8, 5]]

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


[User]
Determine the rank of the following matrix:
[[-54, 36, -8, 18, 6],
 [-25, 28, -27, -20, -1],
 [-66, 48, -18, 12, 6],
 [34, -28, 16, 2, -2],
 [-31, 34, -32, -23, -1]]

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


[User]
Determine the rank of the following matrix:
[[-38, -3, 8, -1, -12],
 [40, 12, -16, 8, 0],
 [24, -20, 24, 24, 8],
 [-52, -6, 10, -13, -6],
 [-52, 34, -32, -12, -40]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -6, -8, 6, 6],
 [0, 0, 0, 0, 0],
 [30, -15, -20, 15, 15],
 [-36, 18, 24, -18, -18],
 [-6, 3, 4, -3, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[24, 4, 20, -20, 0],
 [36, 6, 30, -30, 0],
 [12, 2, 10, -10, 0],
 [-36, -6, -30, 30, 0],
 [30, 5, 25, -25, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, 16, 35, -4, -25],
 [14, -6, -34, -13, 10],
 [10, 24, -8, 10, 8],
 [4, 0, -20, -20, -4],
 [15, 12, -23, 3, 13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 22, 38, -14, -34],
 [-4, 3, -4, 6, 14],
 [-9, 28, 35, -6, -16],
 [-4, -27, -32, 40, 74],
 [-10, 46, 28, -18, -23]]

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


[User]
Determine the rank of the following matrix:
[[28, -12, 7, 30, 21],
 [56, -12, 2, 32, 48],
 [-6, 6, -30, -19, 6],
 [6, -10, 43, 21, -15],
 [2, -2, 0, 1, 0]]

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


[User]
Determine the rank of the following matrix:
[[5, 0, -6, -15, 18],
 [8, -3, -21, -30, 36],
 [14, 6, 6, -30, 36],
 [0, 10, 38, 20, -24],
 [5, 5, 13, -5, 6]]

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


[User]
Find the rank of the matrix:
[[23, 33, 4, 20, 27],
 [24, -25, 5, 46, -21],
 [-42, -28, -17, -58, -20],
 [-8, 30, 46, 12, -22],
 [-16, 1, -9, -26, 27]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 15, -22, -7, -11],
 [54, 19, 22, 19, 11],
 [36, 1, 28, 16, 14],
 [6, 41, -42, -9, -21],
 [-24, -31, 16, -2, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[4, -19, -13, 3, 25],
 [-12, 39, 33, -15, -45],
 [10, -22, -24, 16, 20],
 [8, -29, -23, 9, 35],
 [-12, 12, 24, -24, 0]]

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


[User]
What is the rank of the matrix:
[[-23, 15, -15, 7, -13],
 [-34, -9, -25, 14, -1],
 [-24, 0, 3, 39, -24],
 [22, 27, 3, -34, 3],
 [1, -57, -6, 4, 35]]?

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [36, -16, -28, -24, 4],
 [-27, 1, 16, 9, -7],
 [-3, 16, 9, 14, 5],
 [39, 1, -22, -11, 11]]

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


[User]
Determine the rank of the following matrix:
[[10, 11, -3, 12, -37],
 [20, 12, 2, 12, -44],
 [5, -11, -7, -7, 14],
 [50, -11, -26, 4, -45],
 [25, 6, 2, 7, -35]]

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


[User]
Find the rank of the matrix:
[[49, 13, 33, -40, 54],
 [-10, -36, 23, 25, -29],
 [-11, 3, -23, -16, 8],
 [13, -12, 14, -21, 20],
 [-4, -10, -4, -12, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -12, 0, 17, -7],
 [41, -38, -38, 31, -48],
 [9, -4, -10, 33, 52],
 [22, 21, -9, -36, -3],
 [-16, -27, 3, 11, -46]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 24, -34, 36, -3],
 [-1, -3, 20, -15, 1],
 [2, -12, 38, -57, 29],
 [-28, 15, 8, 12, -35],
 [13, 0, -24, 38, -10]]

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


[User]
What is the rank of the matrix:
[[-15, 15, -9, -3, -6],
 [39, -1, 31, 4, 27],
 [39, -21, 27, 6, 21],
 [-27, 13, -19, -4, -15],
 [27, -13, 19, 4, 15]]?

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


[User]
What is the rank of the matrix:
[[0, 20, -20, 24, -12],
 [24, 10, 14, 24, -6],
 [24, -15, 39, -6, 9],
 [-24, -25, 1, -42, 15],
 [-4, 30, -34, 34, -18]]?

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


[User]
What is the rank of the matrix:
[[24, -25, 23, 28, 6],
 [-24, 40, -8, -34, 12],
 [-16, -5, -37, -10, -30],
 [24, -15, 33, 24, 18],
 [-24, 50, 2, -38, 24]]?

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


[User]
Calculate the rank of matrix A where A =
[[-5, -13, -9, 0, -32],
 [5, -26, -30, 31, 14],
 [-3, 44, 52, -9, 48],
 [-25, -44, -53, 12, -59],
 [14, 36, 49, -25, 11]]

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


[User]
What is the rank of the matrix:
[[-48, -32, -20, -12, -6],
 [2, 13, 4, 28, -32],
 [10, 30, 16, 30, -44],
 [22, 3, 4, -12, 28],
 [38, 58, 34, 40, -53]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 12, 12, -30, 18],
 [0, -10, -10, 25, -15],
 [0, -6, -6, 15, -9],
 [0, 2, 2, -5, 3],
 [0, 6, 6, -15, 9]]

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


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

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


[User]
Find the rank of the matrix:
[[30, -37, 2, -5, -48],
 [49, -19, -11, 79, 20],
 [-43, -25, 25, 2, 18],
 [-5, -56, 15, -24, -48],
 [-89, 10, 34, -25, 48]]

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


[User]
Find the rank of the matrix:
[[-4, -38, 20, 20, -28],
 [-2, 5, -29, -15, -17],
 [-3, 6, 20, 15, 13],
 [-2, -43, 31, 34, -29],
 [11, -67, 25, 35, -46]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 15, 18, -15, -18],
 [2, -5, -6, 5, 6],
 [4, -10, -12, 10, 12],
 [-12, 30, 36, -30, -36],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[35, -51, -42, -53, 11],
 [-14, 21, -24, 6, -23],
 [-11, 25, 24, 27, 31],
 [-12, 29, 46, 36, 5],
 [9, 32, 25, 23, 2]]

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


[User]
What is the rank of the matrix:
[[13, -7, 5, 2, 0],
 [14, 54, -34, 28, -32],
 [-4, 6, -4, 1, -2],
 [-46, -6, 2, -20, 16],
 [-8, 12, -8, 2, -4]]?

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 30, 30, 29, -19],
 [-37, 38, 26, 17, -21],
 [-9, -15, 0, -5, 10],
 [-16, 30, -40, -62, -8],
 [38, -5, -10, 6, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, -9, -16, -21, 14],
 [-10, -18, 44, 6, -16],
 [-16, -26, 34, -10, -6],
 [14, 22, -20, 14, 0],
 [23, 35, -18, 31, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[25, 18, 16, -37, -13],
 [-33, -22, -4, 47, 15],
 [-16, 17, -36, -18, -28],
 [-16, -8, 24, 20, 4],
 [-17, 1, -18, 6, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[24, 45, 28, 53, -22],
 [15, 54, 42, 65, -9],
 [30, -30, -44, -37, -40],
 [27, -27, -34, -27, -29],
 [30, 33, 24, 50, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 11, 15, -15, -60],
 [-52, 18, -1, 20, -4],
 [9, 7, 55, 15, -40],
 [56, -27, 47, -5, 36],
 [-46, 18, -58, -30, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -10, 20, -5, -19],
 [-20, -4, 8, -9, -21],
 [16, 11, -7, 6, 3],
 [26, 38, -8, 4, -42],
 [7, -30, 7, 4, 46]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, 13, -20, -30, 2],
 [19, 8, -7, 4, 25],
 [8, 1, 2, 30, 0],
 [-26, 14, -22, -6, -26],
 [-4, -11, 10, -48, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-32, -7, -16, -7, 62],
 [2, -2, 46, 29, -12],
 [17, -20, 52, -9, -16],
 [35, -83, 12, 5, -22],
 [-2, -19, -4, 65, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -25, 15, 12, 24],
 [27, -29, 27, -12, 24],
 [7, -9, 7, 0, 8],
 [-36, 32, -36, 30, -24],
 [-16, 22, -16, -3, -20]]

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


[User]
Determine the rank of the following matrix:
[[-5, -1, 15, 31, 36],
 [3, -3, -9, -33, -36],
 [-5, -5, 15, 15, 20],
 [-6, 0, 18, 42, 48],
 [-6, -11, 18, -2, 4]]

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


[User]
Determine the rank of the following matrix:
[[-6, -26, -32, -35, 46],
 [-16, 4, 2, -4, 0],
 [-2, -18, -34, -28, 34],
 [56, 2, -31, 16, -16],
 [-26, -12, 1, -21, 26]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-39, -30, -51, -51, -34],
 [34, -8, 38, 57, 28],
 [-42, -12, -42, -34, -16],
 [-5, 70, -1, 0, 40],
 [-73, -16, -85, -55, -10]]

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


[User]
What is the rank of the matrix:
[[-10, 5, -27, 18, 20],
 [16, 4, 28, -16, -24],
 [9, -9, 30, -21, -21],
 [6, 9, 1, 2, -4],
 [-10, -25, 11, -14, 0]]?

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


[User]
Determine the rank of the following matrix:
[[-24, 27, -45, -12, -36],
 [-7, 0, -15, -8, -9],
 [4, 27, 15, 20, 0],
 [-8, 30, -10, 8, -16],
 [-2, -24, -10, -16, 2]]

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


[User]
What is the rank of the matrix:
[[0, 17, -5, 28, 15],
 [-22, 5, -33, -7, -35],
 [9, -40, -18, -40, -12],
 [17, 4, 40, 9, 28],
 [-30, -28, 0, -51, -22]]?

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


[User]
What is the rank of the matrix:
[[17, 24, 82, 18, 5],
 [-14, 37, 13, -8, -27],
 [-32, 6, -10, -7, -65],
 [-39, -14, -10, -58, -55],
 [-12, 14, 26, -18, -24]]?

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


[User]
Determine the rank of the following matrix:
[[-5, -13, -2, -33, -2],
 [0, -12, 12, -42, -8],
 [21, 15, 48, 0, -18],
 [-20, -10, -50, 15, 20],
 [4, 8, 4, 18, 0]]

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


[User]
Determine the rank of the following matrix:
[[10, 5, -40, 15, 20],
 [-21, -3, -1, -20, -3],
 [-16, 16, -27, 46, -8],
 [42, 6, -33, 30, 6],
 [5, -19, 40, -62, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -8, -10, 12, 24],
 [-3, -1, 1, -1, -5],
 [26, 18, 0, -2, 26],
 [-2, 4, 5, -6, -12],
 [7, 7, 2, -3, 3]]

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


[User]
Find the rank of the matrix:
[[-37, -37, 62, -34, -27],
 [4, 11, -6, -20, 4],
 [40, 40, -30, -30, 5],
 [-22, -20, 30, 2, -7],
 [-66, -57, 100, -30, -29]]

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


[User]
Find the rank of the matrix:
[[13, 4, 2, -9, 8],
 [13, 24, 42, 64, 7],
 [13, 10, 42, 29, 21],
 [-39, -34, -6, -28, -2],
 [-28, -4, 8, 38, -16]]

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


[User]
What is the rank of the matrix:
[[-12, -6, 0, 2, 12],
 [-6, -6, 8, 6, 6],
 [18, 3, 16, 7, -18],
 [-6, -6, 8, 6, 6],
 [6, 12, -24, -16, -6]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[24, 12, 36, -39, 9],
 [-13, -20, -33, 29, -15],
 [8, -8, 0, -6, -6],
 [-21, -12, -33, 35, -9],
 [-9, -24, -33, 26, -18]]

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


[User]
Find the rank of the matrix:
[[12, 24, -8, 4, 24],
 [6, -48, 4, 28, 18],
 [-26, -12, 12, -26, -56],
 [6, -48, 4, 28, 18],
 [30, 0, -12, 36, 66]]

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


[User]
What is the rank of the matrix:
[[22, -7, 45, -43, -4],
 [1, 1, -1, -2, -16],
 [13, -9, 19, -18, -14],
 [1, 15, 7, -18, -34],
 [16, -36, 10, 6, 18]]?

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


[User]
Determine the rank of the following matrix:
[[26, -18, -46, 26, 17],
 [44, -19, -33, 27, -24],
 [4, 45, 23, -23, 1],
 [-10, -47, 2, 14, -32],
 [-44, 11, 69, -37, -37]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 15, -20, 10, -5],
 [-6, -3, 4, -2, 1],
 [18, 9, -12, 6, -3],
 [30, 15, -20, 10, -5],
 [18, 9, -12, 6, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 8, 5, -23, -13],
 [-12, -9, -17, 34, 26],
 [-8, 4, -8, -4, 4],
 [-8, 4, -8, -4, 4],
 [16, 1, 19, -16, -20]]

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


[User]
What is the rank of the matrix:
[[24, -14, -31, 34, 38],
 [-36, 26, 39, -36, -42],
 [-6, -2, 16, -25, -26],
 [-30, 34, 14, 7, 2],
 [-24, 30, 7, 14, 10]]?

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


[User]
Find the rank of the matrix:
[[5, 48, 8, -29, -50],
 [10, 39, -3, -30, -57],
 [-11, -21, 10, 23, 47],
 [16, -21, -35, -4, -25],
 [-3, 21, -12, 23, 25]]

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


[User]
Find the rank of the matrix:
[[-12, -23, 11, -14, 26],
 [1, -8, -41, 22, -21],
 [7, 56, -3, 38, -67],
 [-1, 9, 35, -17, 15],
 [-27, 1, 7, 21, -23]]

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


[User]
Determine the rank of the following matrix:
[[2, -6, 4, 12, 2],
 [-5, 15, -10, -30, -5],
 [-1, 3, -2, -6, -1],
 [0, 0, 0, 0, 0],
 [6, -18, 12, 36, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-35, 11, -12, 16, -14],
 [36, 2, 1, -13, 27],
 [9, 11, -13, -13, 35],
 [63, -20, 30, -5, -10],
 [-20, -26, 9, -33, 11]]

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


[User]
What is the rank of the matrix:
[[38, -12, -9, -42, -46],
 [30, -33, 3, 18, 28],
 [-8, -2, -21, -17, -6],
 [41, -36, -28, -30, -21],
 [17, 3, 17, -12, -11]]?

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


[User]
What is the rank of the matrix:
[[1, -3, 6, -4, 1],
 [-6, 18, -36, 24, -6],
 [0, 0, 0, 0, 0],
 [-2, 6, -12, 8, -2],
 [3, -9, 18, -12, 3]]?

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


[User]
Calculate the rank of matrix A where A =
[[3, 7, -1, 1, 4],
 [-5, 20, -9, 42, 28],
 [-13, -5, -12, 18, 12],
 [13, 17, -6, -24, 4],
 [30, 36, 15, -15, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -18, -6, -4, 17],
 [-33, -28, 51, -11, -2],
 [20, 15, -23, 14, 5],
 [-41, -28, 50, -30, -15],
 [-7, -7, 25, 8, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 50, -31, 0, -3],
 [-4, 8, 11, -38, 17],
 [-3, 3, 12, -33, 15],
 [6, -14, -14, 54, -24],
 [-6, 38, -16, -18, 6]]

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


[User]
What is the rank of the matrix:
[[30, 30, -15, -22, 19],
 [-5, 14, -6, 29, -38],
 [18, 37, 9, 9, -18],
 [5, 26, 21, -7, 19],
 [36, 30, 33, -72, 99]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 24, 54, -37, 5],
 [14, 22, 32, -24, -10],
 [9, -3, -18, 11, -10],
 [0, 0, 0, 0, 0],
 [-55, -35, -10, 15, 50]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 3, 4, 1, 0],
 [-18, -18, -24, -6, 0],
 [6, 6, 8, 2, 0],
 [9, 9, 12, 3, 0],
 [-6, -6, -8, -2, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -8, 18, -14, 28],
 [-7, 8, 3, -14, 7],
 [7, -8, -3, 14, -7],
 [22, -36, 15, 25, 16],
 [-8, 16, -12, -4, -16]]

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


[User]
Determine the rank of the following matrix:
[[-36, 18, -30, -12, -24],
 [-24, 12, -20, -8, -16],
 [18, -9, 15, 6, 12],
 [-36, 18, -30, -12, -24],
 [0, 0, 0, 0, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -18, 0, -6, -30],
 [-11, -18, -6, -17, -19],
 [3, 30, 6, 21, 39],
 [21, 3, 6, 12, -6],
 [37, 2, 10, 19, -15]]

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


[User]
Find the rank of the matrix:
[[-36, 28, 20, 0, 10],
 [-3, -10, -14, -22, 19],
 [36, 8, -24, -3, -26],
 [54, 12, 4, 32, -60],
 [-36, -8, 24, -5, 30]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 3, -9, 33, -36],
 [12, 4, 48, -14, -20],
 [42, 2, -12, -37, 2],
 [-44, -5, 33, 23, 26],
 [10, -2, -24, -11, 18]]

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


[User]
What is the rank of the matrix:
[[-12, -12, -18, -15, 18],
 [0, 0, 0, 0, 0],
 [-8, -8, -12, -10, 12],
 [-4, -4, -6, -5, 6],
 [16, 16, 24, 20, -24]]?

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


[User]
What is the rank of the matrix:
[[54, -25, -5, -1, 18],
 [0, 37, 21, -21, -16],
 [32, -12, 5, 2, 20],
 [-28, 0, -50, 32, -72],
 [-46, 23, 9, 25, -7]]?

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


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

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


[User]
Find the rank of the matrix:
[[-42, 48, 48, 12, 18],
 [-23, 32, 30, -2, 13],
 [7, -8, -8, -2, -3],
 [23, -32, -30, 2, -13],
 [7, -8, -8, -2, -3]]

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


[User]
Determine the rank of the following matrix:
[[52, 23, -32, -5, 9],
 [22, 17, -27, -18, -37],
 [5, -17, 30, 0, 31],
 [9, -18, 60, -42, 0],
 [-38, -25, 1, 36, 13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, 0, -12, -36, 33],
 [-41, 21, 11, -21, -43],
 [7, -23, 4, -6, 42],
 [-24, 4, 15, -18, -22],
 [36, -30, 35, 45, -12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-21, 6, 0, 2, 15],
 [-18, 5, 8, 10, 11],
 [29, 9, 15, 34, -22],
 [33, 41, -21, 37, -15],
 [3, -6, -7, -14, -1]]

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


[User]
Find the rank of the matrix:
[[-21, 53, 50, -28, -42],
 [-6, 14, 22, -17, -12],
 [-17, 31, 30, -16, -4],
 [12, -33, -21, -2, 7],
 [-17, 10, 1, -23, -21]]

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


[User]
Calculate the rank of matrix A where A =
[[-54, -10, 39, -15, 17],
 [-6, -4, 3, 0, 1],
 [-30, 24, -7, -55, -28],
 [-36, 20, -4, -55, -27],
 [-12, 28, -2, -38, -14]]

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


[User]
Find the rank of the matrix:
[[-23, 7, -12, 11, -22],
 [-50, 25, 13, 38, 5],
 [-23, 64, 21, 27, -5],
 [10, -36, -52, 60, -35],
 [2, -42, -36, 22, -20]]

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


[User]
Determine the rank of the following matrix:
[[5, -21, -29, -3, 12],
 [-5, 27, 23, 11, -4],
 [-1, 12, -2, 11, 8],
 [-36, 22, 16, 8, 54],
 [21, -18, 15, -21, -57]]

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


[User]
Find the rank of the matrix:
[[-39, -14, 5, 55, -39],
 [-36, -38, 56, 34, -18],
 [8, 16, 1, -16, 12],
 [-38, -25, -4, 49, 9],
 [-27, -22, -15, 45, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[23, -4, -30, -21, 5],
 [14, 5, -25, -13, 12],
 [-17, 10, 15, 9, 4],
 [36, -18, -39, -54, -9],
 [-40, 14, 46, 38, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, -6, -5, -11, -9],
 [12, -18, -6, 12, -36],
 [-21, 9, 0, -21, 21],
 [14, 24, 14, 14, 42],
 [8, 3, 3, 8, 4]]

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


[User]
Determine the rank of the following matrix:
[[13, -38, 40, -60, 5],
 [-48, -12, -15, -30, 42],
 [4, -44, 5, -40, -13],
 [53, -11, 17, 8, -47],
 [-37, 38, -39, 44, 22]]

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


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

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


[User]
Determine the rank of the following matrix:
[[34, -35, -15, -6, 26],
 [-59, 54, -32, 14, 30],
 [25, -29, -43, 2, 40],
 [-42, 39, -19, 5, 27],
 [13, -7, 43, -30, 0]]

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


[User]
Determine the rank of the following matrix:
[[-20, 25, 0, -10, -5],
 [4, -5, 0, 2, 1],
 [-16, 13, -10, 0, 7],
 [2, -20, -25, 21, 28],
 [28, -49, -20, 30, 29]]

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


[User]
Calculate the rank of matrix A where A =
[[-62, 6, -3, 39, 7],
 [22, 13, -8, -22, 3],
 [30, 5, 7, -21, 2],
 [38, 10, -5, -31, 1],
 [24, 42, 18, -30, 24]]

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


[User]
What is the rank of the matrix:
[[6, 46, 12, 38, 26],
 [2, -16, -10, -5, -19],
 [-32, -18, -36, 14, 26],
 [-1, 33, 18, 9, 31],
 [6, -50, -20, 20, -40]]?

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


[User]
Find the rank of the matrix:
[[13, -42, -13, -2, -13],
 [-2, 9, -24, -29, 56],
 [9, -18, -17, -8, 21],
 [-15, 18, -13, -37, 30],
 [-12, 33, 22, 12, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[32, -24, -12, 24, -48],
 [1, 13, 24, 2, 6],
 [-9, 15, 18, -6, 18],
 [36, -16, 6, 28, -48],
 [16, 10, 33, 14, -12]]

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


[User]
What is the rank of the matrix:
[[4, -6, -10, -6, 2],
 [-10, 6, 18, 11, 2],
 [-12, -36, -12, -6, 36],
 [-2, -15, -9, -5, 13],
 [-10, 15, 25, 15, -5]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-30, -30, 42, 2, 3],
 [12, 12, -4, 12, 2],
 [18, 18, -18, 6, 0],
 [-30, -30, 34, -6, 1],
 [-12, -12, 8, -8, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, -9, -8, -9, 3],
 [-6, -2, 8, 0, 14],
 [27, -16, -23, -17, -3],
 [9, 17, 34, 11, -25],
 [-15, -9, -24, -4, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 12, -9, -6, -15],
 [-12, -24, 18, 12, 30],
 [-12, -24, 18, 12, 30],
 [8, 16, -12, -8, -20],
 [-10, -20, 15, 10, 25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 30, 30, -24, 12],
 [1, 5, 5, -4, 2],
 [0, 0, 0, 0, 0],
 [-6, -30, -30, 24, -12],
 [0, 0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[-35, 36, -24, 4, 1],
 [36, -48, 41, -41, -11],
 [2, 86, 8, 5, 45],
 [18, 66, 8, 47, 59],
 [24, -18, 32, -34, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 6, 1, 2, 26],
 [34, -30, -26, 32, 17],
 [18, -42, -29, 30, -28],
 [-14, 30, 21, -22, 18],
 [14, -18, -14, 16, -1]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -2, -11, -2, 11],
 [9, -7, 12, -3, -12],
 [12, 6, 30, 12, -12],
 [-13, -37, -46, -37, 10],
 [26, 21, 46, 20, -33]]

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


[User]
What is the rank of the matrix:
[[24, 2, 22, -48, -22],
 [4, -3, -18, -20, -12],
 [23, -37, 27, 21, -23],
 [-16, 31, 15, 4, 29],
 [-6, 21, 25, 2, 19]]?

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


[User]
Determine the rank of the following matrix:
[[5, -11, 6, -36, -28],
 [-33, -9, -21, 32, 31],
 [-31, -28, -22, 9, 27],
 [44, -10, 26, -36, 0],
 [33, -35, 17, -43, 17]]

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


[User]
Find the rank of the matrix:
[[-26, -3, 1, -1, 19],
 [28, -3, -2, 2, -20],
 [15, 36, 39, 15, -6],
 [15, 27, -39, -27, -22],
 [-21, 9, 14, 4, 17]]

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


[User]
Find the rank of the matrix:
[[-6, 3, -22, -9, 24],
 [2, 13, -16, 3, 20],
 [10, 35, -30, 15, 40],
 [8, 1, 21, 12, -22],
 [0, -18, 30, 0, -36]]

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


[User]
What is the rank of the matrix:
[[18, -12, 0, 0, 9],
 [36, -24, 0, 0, 18],
 [-18, 12, 0, 0, -9],
 [-36, 24, 0, 0, -18],
 [0, 0, 0, 0, 0]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -36, 36, 38, 34],
 [-15, -57, 34, 41, 16],
 [0, -7, 4, 6, -29],
 [16, 26, 28, 66, -44],
 [22, 62, -18, -9, -47]]

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


[User]
Calculate the rank of matrix A where A =
[[27, 0, 12, -3, -24],
 [-21, -10, -1, 14, 22],
 [-12, -16, 8, 20, 16],
 [-39, -10, -9, 16, 38],
 [-18, 12, -18, -12, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 27, -6, 20, 3],
 [0, -24, 0, -16, -12],
 [20, 14, -20, 16, -28],
 [-20, -14, 20, -16, 28],
 [-14, -11, 14, -12, 19]]

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


[User]
What is the rank of the matrix:
[[-11, -22, -8, -4, 15],
 [34, 8, 14, -23, 25],
 [3, -10, 4, -6, -26],
 [10, -20, 4, -18, 0],
 [6, -4, 4, -6, -11]]?

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


[User]
What is the rank of the matrix:
[[-30, 6, 18, 42, 18],
 [25, -22, -66, 16, 19],
 [-30, 14, 42, 18, 2],
 [20, 0, 0, -40, -20],
 [-5, 4, 12, -2, -3]]?

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


[User]
What is the rank of the matrix:
[[6, 9, -9, -6, 15],
 [6, 9, -9, -6, 15],
 [-12, -18, 18, 12, -30],
 [8, 12, -12, -8, 20],
 [0, 0, 0, 0, 0]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -44, -8, 28, -26],
 [2, 43, 4, -24, 20],
 [27, -32, -20, 32, -36],
 [-39, 19, 16, -16, 4],
 [-45, 20, 20, -20, 10]]

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


[User]
What is the rank of the matrix:
[[12, 6, 27, -24, -6],
 [-19, -14, 0, -7, 23],
 [-12, -8, -8, 4, 12],
 [-5, -2, -16, 15, 1],
 [13, 8, 15, -11, -11]]?

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


[User]
Find the rank of the matrix:
[[-20, 1, 21, 13, 6],
 [-20, -7, 17, -9, 0],
 [-28, -26, 4, 9, 63],
 [-32, 7, 35, 43, 22],
 [12, -23, -29, -40, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[24, 26, -8, 8, -24],
 [4, -18, -14, -12, -3],
 [-14, 27, 15, 11, 6],
 [16, 16, -4, 6, -15],
 [26, -5, -33, -15, -27]]

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


[User]
What is the rank of the matrix:
[[5, -14, 15, 14, -3],
 [-18, 0, 15, 18, -12],
 [-37, 14, 15, 28, -17],
 [-9, 34, -20, 20, 17],
 [18, -24, 15, 6, 0]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, -3, -2, 18, -10],
 [50, -21, 2, -4, -6],
 [-26, -32, 59, 36, 40],
 [-54, -3, 33, 18, 30],
 [-14, 17, -15, 2, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 5, -4, 5, 1],
 [-4, -31, 9, -40, 6],
 [-16, 23, 3, -22, 30],
 [-4, -24, -6, -32, 10],
 [16, 10, -20, 54, -26]]

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


[User]
Determine the rank of the following matrix:
[[8, -22, 21, 18, -18],
 [20, -20, 15, 10, -20],
 [-20, 20, -15, -10, 20],
 [-32, 4, 6, 12, 12],
 [-22, 15, -9, -4, 17]]

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


[User]
Find the rank of the matrix:
[[16, 8, 0, -8, -12],
 [-26, 0, -12, 16, 10],
 [21, 4, 6, -12, -11],
 [-31, 56, -66, 32, -29],
 [-17, 24, -30, 16, -11]]

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


[User]
What is the rank of the matrix:
[[-8, -39, 21, -6, 67],
 [-15, -30, -25, -34, 37],
 [6, 11, 12, 10, -20],
 [1, -13, 7, 8, 37],
 [-5, 24, 9, 10, -41]]?

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


[User]
Determine the rank of the following matrix:
[[-12, 16, -4, 4, 32],
 [-15, 20, -16, -6, 7],
 [9, -12, -2, -8, -39],
 [-6, 8, -6, -2, 4],
 [-15, 20, -14, -4, 13]]

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


[User]
Find the rank of the matrix:
[[-18, 0, 9, 6, 12],
 [30, -3, 3, -13, 4],
 [-6, -3, 21, -1, 28],
 [-18, 6, -27, 12, -36],
 [36, -6, 18, -18, 24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 22, 17, 7, -9],
 [-12, 34, 5, -1, 5],
 [24, -8, 20, 12, -20],
 [-18, -6, -21, -11, 17],
 [6, -14, -1, 1, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[38, -6, 40, 25, 33],
 [-20, 2, -40, 19, -5],
 [17, -8, 34, 8, 20],
 [13, 5, -1, 3, 1],
 [-23, -2, -28, 12, -4]]

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


[User]
What is the rank of the matrix:
[[17, -19, 12, -23, -3],
 [-12, 11, -5, 14, -2],
 [26, -39, 35, -40, -22],
 [25, -38, 29, -49, -21],
 [-16, -9, 11, -34, -40]]?

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


[User]
Find the rank of the matrix:
[[18, 30, -24, -18, 30],
 [23, -23, 1, -6, -32],
 [0, -30, 15, 9, -33],
 [-7, 1, 1, 6, 8],
 [14, -8, -2, -6, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 4, -20, 24, -4],
 [0, 1, -5, 6, -1],
 [0, -1, 5, -6, 1],
 [0, -5, 25, -30, 5],
 [0, 2, -10, 12, -2]]

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


[User]
Determine the rank of the following matrix:
[[-34, -2, -72, 3, 40],
 [38, -46, 15, -15, -49],
 [25, 25, 84, -1, -16],
 [-15, 33, 8, -55, -4],
 [-33, 55, 10, 41, 46]]

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


[User]
Determine the rank of the following matrix:
[[-21, 6, 31, 32, 1],
 [-41, 2, 19, 26, 30],
 [-40, 16, 26, 8, 15],
 [6, 24, 22, -18, -35],
 [-23, 2, 7, 8, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, -38, -38, 2, 3],
 [-24, 12, 6, 12, 15],
 [-18, -54, -67, 18, -32],
 [-6, 48, 43, 11, 4],
 [8, 39, 35, -8, 1]]

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


[User]
Determine the rank of the following matrix:
[[-9, 45, -39, -9, 51],
 [-18, 30, -30, -18, 36],
 [-24, 20, -24, -24, 26],
 [9, 35, -25, 9, 37],
 [-15, 25, -25, -15, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -6, 42, -28, 6],
 [1, 6, -6, 4, -6],
 [0, 0, 18, -12, 0],
 [10, 60, -6, 4, -60],
 [10, 60, -6, 4, -60]]

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


[User]
Find the rank of the matrix:
[[-15, 33, 3, 43, -25],
 [-3, 57, -9, 23, -41],
 [3, -9, -2, 4, 5],
 [12, -73, 4, -30, 51],
 [-33, 7, 29, 5, 1]]

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


[User]
What is the rank of the matrix:
[[-9, -16, 9, 11, 12],
 [-10, 12, 44, -6, 54],
 [-26, -27, -8, 36, -27],
 [-19, -18, -10, 27, -27],
 [-1, 11, 17, -7, 21]]?

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


[User]
Find the rank of the matrix:
[[26, -2, 4, 32, 6],
 [-25, 13, 6, -2, -7],
 [3, 19, -28, 57, 13],
 [-14, -2, 10, 23, -21],
 [30, -16, -24, 5, 13]]

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


[User]
Determine the rank of the following matrix:
[[8, -18, 32, -26, -14],
 [20, 25, 20, -55, -45],
 [22, 31, 19, -60, -50],
 [10, -2, 13, 9, 31],
 [-38, -43, -23, 28, -18]]

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


[User]
What is the rank of the matrix:
[[-12, -3, 18, -9, 18],
 [34, -29, -35, -14, -16],
 [6, 66, -37, 23, -14],
 [-14, -17, 27, 0, 6],
 [14, -11, -15, -24, 14]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-32, -14, 6, 4, -12],
 [38, 15, -7, -3, 16],
 [36, 19, -7, -8, 10],
 [-20, -25, 5, 20, 10],
 [-12, -2, 2, -2, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-47, 3, -47, 7, 15],
 [42, 46, 0, 8, -32],
 [-14, -19, 4, -7, 11],
 [-2, 25, -21, -2, -12],
 [54, 8, 46, -12, -24]]

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