[User]
Determine the rank of the following matrix:
[[11, -18, -2, -5, -20],
 [-17, 30, 38, -25, 20],
 [2, -2, 20, -20, -10],
 [10, -16, 4, -10, -20],
 [20, -34, -24, 10, -30]]

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


[User]
Find the rank of the matrix:
[[-15, -34, 14, -12, -2],
 [33, -14, 12, -12, -31],
 [14, 60, -24, 18, -9],
 [-3, 6, -8, 24, 93],
 [38, 54, -47, 21, -3]]

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


[User]
Determine the rank of the following matrix:
[[-4, 31, -37, 35, 41],
 [-6, 22, -24, 32, 50],
 [14, 32, -58, -2, -8],
 [-10, -14, 32, 8, -10],
 [-2, 17, -14, 16, -44]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -5, 13, 8, 41],
 [-4, -10, -13, 3, -9],
 [12, 10, 1, -7, -19],
 [16, 20, 14, -10, -10],
 [-13, -5, 10, 7, 34]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -17, 1, 5, 14],
 [-8, 10, -10, -10, -4],
 [20, -8, 24, 20, -4],
 [-2, -6, -2, 0, 6],
 [2, 40, 0, -10, -34]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -24, 12, 12, -42],
 [6, 18, -3, 0, 27],
 [2, -6, -7, -12, -3],
 [-4, 6, 11, 18, 0],
 [-2, 36, 22, 42, 33]]

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


[User]
Determine the rank of the following matrix:
[[35, 10, -15, 4, -12],
 [28, 17, -1, 6, -10],
 [58, 18, -11, -4, 15],
 [33, 9, -26, 14, -44],
 [32, 18, -9, 12, -29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 33, 16, 39, 54],
 [17, 22, -2, 37, 40],
 [-22, -4, -16, 8, 15],
 [9, 36, 40, 24, 39],
 [-14, -39, -26, 22, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[45, 47, -48, 24, -1],
 [54, 64, -60, 12, 10],
 [-25, -65, 57, 24, -22],
 [-13, -32, 30, 6, -7],
 [18, 23, -36, 42, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 24, -7, -22, 28],
 [-16, -12, 17, -16, -14],
 [-11, -19, 10, -4, -24],
 [-35, 31, 34, -77, -6],
 [18, -20, 21, 39, -38]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-72, -43, 2, 49, 0],
 [-50, -31, -33, -8, -56],
 [-15, -28, 19, 23, 9],
 [-22, -25, -9, 8, -22],
 [15, 2, 25, 17, 33]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -5, -30, -11, 4],
 [18, -3, 45, -10, 20],
 [-47, 18, 55, 15, 20],
 [6, 14, 18, -11, -14],
 [56, -50, 40, -6, 64]]

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


[User]
What is the rank of the matrix:
[[9, -23, -55, -44, -36],
 [13, -6, -27, -27, -19],
 [18, -6, -9, -27, 15],
 [19, 37, 29, 16, -4],
 [-8, 16, 30, 30, 10]]?

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


[User]
Calculate the rank of matrix A where A =
[[9, 50, -46, -13, 17],
 [29, -21, -1, 14, -38],
 [-28, -19, 33, -12, 36],
 [16, 16, -36, -45, 49],
 [16, -29, 3, -42, 50]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 4, -47, -52, 28],
 [-16, 28, -14, 11, 10],
 [32, 3, -8, 4, -12],
 [-17, -13, -22, 7, -25],
 [15, 4, 7, 29, -25]]

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


[User]
What is the rank of the matrix:
[[2, 14, -8, -3, 13],
 [6, -6, 24, -17, 7],
 [-8, 4, -28, 22, -12],
 [0, -18, 18, -3, -12],
 [12, -24, 60, -36, 6]]?

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


[User]
Find the rank of the matrix:
[[-19, -27, 9, -6, 33],
 [-2, 3, 16, -1, -2],
 [-9, -3, 4, 4, 22],
 [8, -64, -2, 0, 34],
 [18, -34, -1, 3, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[52, -3, 19, -7, 6],
 [-6, -2, 6, 16, 0],
 [-2, 15, -13, 3, -18],
 [0, 8, -12, 34, 1],
 [-22, -32, 4, 4, 51]]

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


[User]
What is the rank of the matrix:
[[4, -18, -17, 0, 6],
 [18, -26, -9, 10, 22],
 [26, -18, 11, 18, 30],
 [32, -34, -1, 20, 38],
 [36, -30, 9, 24, 42]]?

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


[User]
Determine the rank of the following matrix:
[[-15, -3, 15, -3, 12],
 [34, 14, 14, 14, -26],
 [18, 6, -2, 6, -14],
 [-12, -6, -12, -6, 9],
 [9, 9, 39, 9, -6]]

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


[User]
What is the rank of the matrix:
[[35, -37, 9, -9, 8],
 [-9, -2, -3, 5, -12],
 [31, 3, 36, -29, 23],
 [13, -1, 30, -19, -1],
 [-62, 37, -45, 36, -23]]?

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


[User]
What is the rank of the matrix:
[[-12, -9, -15, -32, 1],
 [-36, 38, -32, -5, 3],
 [4, 3, 8, 0, 3],
 [-16, 10, -24, 18, -8],
 [28, -31, 24, 4, -3]]?

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


[User]
Calculate the rank of matrix A where A =
[[-9, -11, 7, -12, -11],
 [9, 1, 15, -13, -24],
 [0, -11, 20, -10, -18],
 [1, -3, 1, 15, 13],
 [15, 10, 7, -4, -15]]

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


[User]
What is the rank of the matrix:
[[-17, 8, -23, -12, 21],
 [-24, -10, -60, 22, 46],
 [-21, -1, -39, -16, 43],
 [-1, 3, 5, -24, 7],
 [-30, 29, -30, 4, 4]]?

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


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

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


[User]
What is the rank of the matrix:
[[-12, -9, -18, 6, 24],
 [-31, 3, -36, -9, 6],
 [4, 3, 6, -2, -8],
 [-11, 3, -12, -5, -2],
 [3, 6, 6, -5, -14]]?

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


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

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


[User]
Find the rank of the matrix:
[[-45, -61, -25, 9, -1],
 [16, 53, 37, -2, 14],
 [-25, -46, -50, 6, 3],
 [11, -19, -7, 0, -7],
 [43, 22, -2, -7, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-36, -41, 2, -4, -13],
 [12, 12, 6, -2, -4],
 [-36, -30, -42, 18, 42],
 [-36, -31, -38, 16, 37],
 [-36, -36, -18, 6, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[-31, 16, -39, 29, 29],
 [30, -12, 38, -30, -26],
 [-13, -20, 3, 11, -13],
 [-4, -11, -6, 11, -4],
 [17, -8, 9, -7, -10]]?

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


[User]
Find the rank of the matrix:
[[55, 3, -22, 42, 53],
 [1, -21, -52, -11, 23],
 [25, -17, -34, 20, 33],
 [30, 34, -18, 11, 52],
 [-71, -35, 2, -58, -73]]

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


[User]
What is the rank of the matrix:
[[-28, -20, -38, 5, -51],
 [46, -42, -4, 12, -14],
 [-55, 14, -8, -7, -47],
 [-43, 18, -62, 10, -34],
 [-66, 28, 12, -19, -14]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 12, 2, 12, -10],
 [0, -36, -6, -36, 30],
 [0, 6, 1, 6, -5],
 [0, -18, -3, -18, 15],
 [0, 36, 6, 36, -30]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-2, -25, -25, -10, 5],
 [36, -68, -20, -16, -8],
 [-4, 3, -5, 6, 3],
 [-20, 42, 10, 20, 6],
 [8, -18, -10, 1, 0]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 19, -5, -22, -1],
 [-14, 56, -3, -42, 37],
 [22, 27, 7, -10, 63],
 [21, 0, -1, -7, 10],
 [51, -30, 3, 15, 12]]

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


[User]
Find the rank of the matrix:
[[-5, -20, -40, -25, 10],
 [-14, -14, 8, 8, 16],
 [16, 22, 8, 2, -20],
 [-28, -35, -4, 3, 34],
 [-3, -12, -24, -15, 6]]

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


[User]
Determine the rank of the following matrix:
[[20, -20, 20, 24, -12],
 [15, -15, 15, 18, -9],
 [-5, 5, -5, -6, 3],
 [-10, 10, -10, -12, 6],
 [-10, 10, -10, -12, 6]]

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


[User]
Find the rank of the matrix:
[[21, 0, -1, 15, -5],
 [-27, -31, 19, -6, 2],
 [27, 31, -19, 6, -2],
 [15, 25, -15, 0, 0],
 [-3, 9, -5, -6, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, -35, 3, 0, 40],
 [-22, -33, -40, 15, 10],
 [-62, 10, 4, -12, 6],
 [-23, 43, 43, -12, 12],
 [-50, -30, -44, 12, 10]]

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


[User]
Determine the rank of the following matrix:
[[-43, -18, 7, -23, 13],
 [7, -1, 4, 11, 13],
 [-6, -14, 16, 18, 46],
 [-26, -13, 7, -10, 16],
 [-19, -1, -6, -23, -21]]

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


[User]
Calculate the rank of matrix A where A =
[[-56, 40, -10, 54, -14],
 [-25, 65, 8, 53, -25],
 [-68, -20, -24, 30, 10],
 [57, 13, -18, -7, -14],
 [22, 78, 24, 41, -33]]

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


[User]
What is the rank of the matrix:
[[4, 8, -4, 0, 16],
 [10, -7, 14, 15, -11],
 [-8, -7, 0, -5, -15],
 [-31, 1, -25, -35, -5],
 [-6, 6, -10, -10, 10]]?

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


[User]
Find the rank of the matrix:
[[-2, -28, -4, -28, -38],
 [-58, 24, -62, 12, -7],
 [6, -42, -8, -14, -49],
 [-8, -38, -16, -34, -57],
 [9, 37, 35, 9, 61]]

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


[User]
What is the rank of the matrix:
[[25, 25, 30, 10, -25],
 [19, -13, 14, 2, 25],
 [-20, -20, -24, -8, 20],
 [16, -32, 6, -2, 50],
 [30, 30, 36, 12, -30]]?

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


[User]
What is the rank of the matrix:
[[35, -48, -21, -53, -33],
 [21, 22, -2, -33, -57],
 [29, 13, 2, -25, -21],
 [-14, 34, 28, 38, 30],
 [-1, -30, -18, 5, 45]]?

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


[User]
Determine the rank of the following matrix:
[[-6, 18, -72, -12, 48],
 [6, -18, 72, 12, -48],
 [6, -27, 18, -15, -12],
 [-4, 12, -48, -8, 32],
 [6, -30, 0, -24, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -1, 5, 3, 4],
 [8, -13, 35, 6, 25],
 [18, -10, 10, -14, 4],
 [21, -7, -5, -23, -8],
 [-14, 14, -30, 2, -20]]

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


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

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


[User]
Determine the rank of the following matrix:
[[1, 1, 13, -7, -18],
 [-33, -19, 9, -11, -39],
 [-40, -7, 7, -17, -45],
 [44, 12, 24, 0, 3],
 [-8, -13, 1, 1, -6]]

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


[User]
What is the rank of the matrix:
[[-39, -3, -54, -30, 39],
 [-39, -32, -70, -12, -12],
 [45, 50, 60, 0, -10],
 [-1, 24, 6, 8, 56],
 [0, -3, 34, -30, 19]]?

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


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

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


[User]
Find the rank of the matrix:
[[34, -23, 4, 47, -13],
 [28, -16, -4, 48, -12],
 [-36, 42, -48, 6, 6],
 [-26, 17, -13, -42, 18],
 [-56, 42, 6, -56, 4]]

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


[User]
What is the rank of the matrix:
[[30, -35, 0, 52, -42],
 [-5, 0, -28, 40, 9],
 [-17, 18, -14, -22, 46],
 [11, -22, -30, 52, 3],
 [8, -32, 0, -4, -34]]?

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


[User]
What is the rank of the matrix:
[[5, -42, -37, -45, -8],
 [-29, 6, 7, -61, -32],
 [-13, 34, -9, -37, 4],
 [13, -7, -27, -5, 17],
 [-7, -21, 11, -7, -21]]?

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


[User]
Determine the rank of the following matrix:
[[30, -5, 5, 0, 10],
 [25, 0, 0, 2, 8],
 [-17, 7, -7, 2, -6],
 [-10, 35, -35, 16, -6],
 [-5, 30, -30, 14, -4]]

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


[User]
Find the rank of the matrix:
[[-14, -64, 15, 61, -70],
 [12, -12, 12, -8, 19],
 [13, -18, 10, -6, 20],
 [-9, -34, -17, 25, -14],
 [0, 50, -5, -31, 23]]

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


[User]
Find the rank of the matrix:
[[8, -8, -12, -2, 10],
 [16, -1, 11, 11, -10],
 [4, -13, -27, -10, 23],
 [36, -18, -12, 9, 9],
 [-40, 25, 25, -5, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[41, -7, 3, 12, 36],
 [6, 4, 18, 15, 12],
 [-34, 65, -48, 21, -66],
 [-9, -3, 0, 1, 0],
 [32, -17, 38, 15, 46]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 4, 17, 25, -16],
 [-19, 12, 35, 11, 4],
 [11, -4, -10, 18, -19],
 [21, 38, 19, 35, 11],
 [27, 12, -19, 5, 8]]

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


[User]
What is the rank of the matrix:
[[16, 10, -10, 60, 51],
 [-1, 8, 34, -32, -65],
 [-7, 7, 35, 4, -38],
 [0, 5, 30, -21, -49],
 [20, 18, -25, 49, 48]]?

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


[User]
Find the rank of the matrix:
[[-30, 6, -6, -6, 6],
 [25, -5, 5, 5, -5],
 [-10, 2, -2, -2, 2],
 [0, 0, 0, 0, 0],
 [20, -4, 4, 4, -4]]

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


[User]
What is the rank of the matrix:
[[-4, 38, 39, -41, -23],
 [-21, -10, -8, 45, 31],
 [-24, -12, -39, 15, 39],
 [49, -13, -15, -15, -8],
 [30, -9, -6, -21, -22]]?

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


[User]
Determine the rank of the following matrix:
[[-28, 2, -6, -8, -6],
 [-19, 42, -32, 6, 14],
 [-11, 11, -11, -2, -1],
 [-32, 41, -52, -18, -26],
 [2, -10, -2, -12, -22]]

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


[User]
Find the rank of the matrix:
[[10, -6, 26, 20, -40],
 [-12, 3, -48, 18, 6],
 [-11, 5, -35, -6, 28],
 [8, -1, 36, -22, 6],
 [2, 1, 14, -18, 14]]

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


[User]
What is the rank of the matrix:
[[7, 7, 4, 5, 34],
 [16, -47, 10, 38, -20],
 [-47, -13, 41, 13, 22],
 [-34, -48, 44, 38, -4],
 [15, 1, -11, -1, -6]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 20, -28, -2, 22],
 [-3, -23, 49, 26, -22],
 [-7, -35, 29, 10, -6],
 [-7, -7, -19, -11, 17],
 [17, -19, -11, -28, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 50, -72, 6, 1],
 [3, 22, -18, 9, -16],
 [18, -18, 30, 6, 28],
 [-40, 22, -48, -1, -48],
 [-8, 26, -42, -9, -13]]

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


[User]
Determine the rank of the following matrix:
[[24, 18, 15, -6, 15],
 [-36, -28, -15, 4, -17],
 [-22, -21, 20, -17, 11],
 [46, 35, 25, -9, 26],
 [-14, -11, -5, 1, -6]]

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


[User]
Find the rank of the matrix:
[[14, 14, -16, -12, 16],
 [8, -7, 0, 6, -25],
 [-30, -21, -13, -20, 28],
 [-44, -35, 3, -8, 12],
 [16, 16, 10, 12, -10]]

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


[User]
Determine the rank of the following matrix:
[[5, -1, 12, -3, -13],
 [-44, -32, -48, 18, 40],
 [32, 30, 40, -19, -15],
 [-15, -13, -4, 1, 11],
 [-17, -29, -20, 16, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -25, 20, -5, 10],
 [6, 25, -26, 12, -11],
 [-34, -45, 12, 19, 14],
 [28, 40, -14, -13, -13],
 [22, 5, 26, -34, 3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-30, 10, 25, 25, 20],
 [21, -14, 7, -8, -19],
 [-38, 22, -1, 19, 32],
 [-25, 20, -20, 5, 25],
 [49, -28, 0, -25, -41]]

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


[User]
What is the rank of the matrix:
[[-4, 34, 4, 24, 34],
 [-28, 25, -30, 0, 25],
 [0, 46, -68, 32, 50],
 [14, 50, -76, 9, 45],
 [-22, -38, 36, -29, -38]]?

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


[User]
Find the rank of the matrix:
[[-2, -2, -17, -18, -28],
 [61, 5, -15, 3, 71],
 [-36, -49, 34, 12, -39],
 [32, 12, -33, -17, 5],
 [-14, -26, 3, -31, -13]]

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


[User]
Determine the rank of the following matrix:
[[31, -47, 18, -10, 4],
 [13, -17, 12, -5, 5],
 [17, -31, 3, -4, -5],
 [-2, 2, -52, 3, 21],
 [39, -55, 34, -14, 8]]

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


[User]
Find the rank of the matrix:
[[-44, 56, -24, -16, -18],
 [10, 35, -55, -30, -50],
 [-44, 56, -24, -16, -18],
 [-29, 46, -26, -15, -21],
 [46, -14, 6, 40, 1]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[49, -34, 48, 60, 36],
 [1, -7, 32, -6, 53],
 [64, -40, 38, 84, 5],
 [-58, 42, -50, -72, -29],
 [7, 2, -4, 12, -10]]

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


[User]
Determine the rank of the following matrix:
[[50, -3, 15, -18, 33],
 [1, 18, -4, -33, 0],
 [-59, -14, 18, -3, -30],
 [56, 0, 20, -9, 45],
 [-32, -54, 16, -9, -45]]

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


[User]
Find the rank of the matrix:
[[1, 15, -22, -8, 18],
 [17, 25, -6, -44, -16],
 [3, -25, 46, 4, -44],
 [8, 10, 0, -20, -10],
 [15, 25, -10, -40, -10]]

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


[User]
What is the rank of the matrix:
[[8, 2, 0, -15, -19],
 [-8, 10, 16, -3, 9],
 [10, -14, -22, 6, -10],
 [-6, -6, -6, 18, 18],
 [-14, 22, 34, -12, 12]]?

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


[User]
Calculate the rank of matrix A where A =
[[23, 11, 4, -21, -11],
 [-21, -11, 4, 23, 11],
 [11, 5, 4, -9, -5],
 [3, -1, 20, 7, 1],
 [14, 2, 40, 6, -2]]

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


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

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


[User]
Find the rank of the matrix:
[[-32, -8, -1, -21, -30],
 [-23, -39, 38, -21, 6],
 [-2, 8, -5, -1, 1],
 [14, -8, 2, 10, -1],
 [-19, 15, -11, -12, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, 49, 12, -44, 28],
 [0, -25, -15, 15, 0],
 [-15, -25, 3, 18, -6],
 [37, 16, -33, -5, -8],
 [12, 46, 12, -38, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 18, -6, 15, 6],
 [-2, -12, 4, -10, -4],
 [-6, -36, 12, -30, -12],
 [-2, -12, 4, -10, -4],
 [-6, -36, 12, -30, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -3, 15, 15, 12],
 [2, -2, 14, 50, 36],
 [17, 3, -11, 25, 16],
 [43, 11, -50, -5, -9],
 [-15, -1, -1, -55, -38]]

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


[User]
What is the rank of the matrix:
[[-16, -6, -14, 22, -8],
 [-9, -39, 23, -9, 5],
 [-18, -48, 20, 0, 2],
 [-6, 9, -15, 15, -6],
 [4, 24, -16, 8, -4]]?

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


[User]
Find the rank of the matrix:
[[36, 13, -1, -14, -16],
 [39, 27, -25, -9, 10],
 [46, 40, -32, -18, 2],
 [-34, 32, -36, -6, 12],
 [-42, -20, 28, -2, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, 26, -27, 26, -1],
 [18, 8, 6, 14, -4],
 [48, 20, 8, 43, -11],
 [21, 58, -7, 22, -1],
 [42, 20, -14, 52, -10]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -15, -22, 10, -11],
 [-9, 20, 28, -15, 14],
 [-1, 30, 32, -35, 16],
 [4, 5, 2, -10, 1],
 [-20, 0, 16, 20, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[40, -1, 20, 7, 56],
 [40, -5, 25, -5, 50],
 [16, 38, 43, -50, 22],
 [28, 9, 33, -29, 32],
 [-36, 29, -22, 15, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[37, -16, -4, 46, 47],
 [-26, -1, 6, 16, 10],
 [-28, 39, 34, 18, 12],
 [-4, 27, 22, 36, 22],
 [-2, 26, 16, -14, -10]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -15, 27, -9, 11],
 [-38, 12, -30, 28, 42],
 [-14, 7, -9, -43, 5],
 [-15, -8, 12, -2, 23],
 [-16, 30, -54, -6, -2]]

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


[User]
Determine the rank of the following matrix:
[[-22, 14, 14, -10, -14],
 [-42, 65, 13, -6, 30],
 [8, 11, -29, 24, 32],
 [5, -17, 0, -1, -17],
 [11, 21, -20, 17, 49]]

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


[User]
What is the rank of the matrix:
[[12, -9, 9, 0, -27],
 [4, 9, -9, -16, -21],
 [-8, 3, -3, 4, 21],
 [2, 6, -6, -10, -12],
 [10, -9, 9, 2, -21]]?

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


[User]
Calculate the rank of matrix A where A =
[[-11, -12, 1, -12, 12],
 [-41, -20, 27, -12, 36],
 [3, 20, 31, 24, -24],
 [29, -2, -33, -13, -21],
 [-46, -40, 6, -36, 54]]

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


[User]
What is the rank of the matrix:
[[5, 21, 5, 47, 6],
 [-37, 32, 9, -29, 39],
 [2, -37, 12, -31, -11],
 [-16, 5, -6, -19, 19],
 [-19, 3, 29, 20, 33]]?

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


[User]
What is the rank of the matrix:
[[-10, 0, -32, 26, 26],
 [-15, -55, -24, -77, 9],
 [12, 0, -23, 0, 13],
 [-42, 30, 29, 16, 27],
 [4, 5, -28, 6, 26]]?

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


[User]
Calculate the rank of matrix A where A =
[[-2, -12, 4, 22, -4],
 [-37, -9, 12, -19, -16],
 [-29, -25, 21, -2, -13],
 [-11, -19, 23, -26, 1],
 [11, 2, 3, -16, 9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -63, 2, -12, -29],
 [-11, -39, -19, -21, 7],
 [10, 18, 28, -28, 28],
 [1, 17, -6, 36, -25],
 [21, -23, 42, -2, -34]]

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


[User]
Calculate the rank of matrix A where A =
[[-33, -17, -2, 11, -10],
 [11, 10, -4, -11, 13],
 [-26, 0, -16, -14, 22],
 [-21, -12, 0, 9, -9],
 [35, 20, 0, -15, 15]]

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


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

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


[User]
Find the rank of the matrix:
[[-48, 28, 2, 46, 0],
 [-20, 0, -20, 15, 10],
 [13, -16, -58, -19, 4],
 [39, -14, -19, -37, -10],
 [-19, -44, -8, 6, 54]]

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


[User]
Determine the rank of the following matrix:
[[-1, 3, 3, -2, -4],
 [3, -9, -9, 6, 12],
 [18, -10, -30, 28, 24],
 [-6, 7, 12, -10, -12],
 [4, -1, -6, 6, 4]]

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


[User]
Determine the rank of the following matrix:
[[34, -44, 0, 7, -34],
 [-4, 24, -6, 26, 2],
 [14, 25, -7, 55, -48],
 [9, -14, -13, -43, 30],
 [-26, 27, -1, 0, 44]]

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


[User]
Determine the rank of the following matrix:
[[-24, -30, 4, -24, 42],
 [12, 18, 16, 24, -30],
 [-9, -8, 21, 4, 6],
 [15, 20, 5, 20, -30],
 [30, 34, -26, 16, -42]]

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


[User]
Find the rank of the matrix:
[[-21, 12, -25, 16, -26],
 [-4, -4, 12, -20, -6],
 [-24, 18, -40, 34, -29],
 [15, 0, -5, 20, 20],
 [1, -8, 21, -28, 0]]

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


[User]
What is the rank of the matrix:
[[87, 36, 24, 3, 36],
 [-84, -75, -25, 8, -3],
 [14, 6, -5, -3, 2],
 [-66, 2, 4, -2, -42],
 [-1, 20, -8, -9, -20]]?

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


[User]
Calculate the rank of matrix A where A =
[[28, -18, 10, 30, -24],
 [3, 17, 14, 4, -8],
 [24, 66, 54, 24, -36],
 [10, 0, -26, -6, 16],
 [-36, -39, -57, -42, 50]]

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


[User]
What is the rank of the matrix:
[[20, 26, 26, -5, 30],
 [6, 5, 15, 14, 5],
 [18, 22, 22, -3, 25],
 [26, 31, -3, -46, 35],
 [-30, -39, -21, 30, -45]]?

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


[User]
Determine the rank of the following matrix:
[[48, 9, 6, -12, 12],
 [-26, -3, -6, 9, -8],
 [20, 30, -36, 30, -16],
 [10, 15, -18, 15, -8],
 [14, 27, -34, 29, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 8, 4, 24, -12],
 [-4, 12, 26, 12, 18],
 [-9, 12, 21, 18, 9],
 [-15, 20, 35, 30, 15],
 [11, -18, -34, -24, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, -7, 41, -20, 1],
 [-7, 2, 20, 6, -38],
 [26, -3, -13, 10, -9],
 [-27, 3, 9, -2, -2],
 [7, 0, 19, -13, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [0, 12, 24, -30, 0],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-18, -15, 0, -9, -18],
 [-32, -9, 2, -9, -16],
 [32, -7, -6, 9, 4],
 [7, 45, 11, 0, 35],
 [46, -24, -18, 30, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 16, -8, 8, 8],
 [-12, 10, -14, 3, 6],
 [-34, -16, -46, -20, -2],
 [-4, 36, 0, 22, 16],
 [36, 12, 48, 18, 0]]

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


[User]
Find the rank of the matrix:
[[16, 16, 20, 10, 0],
 [-10, 11, -19, -21, -3],
 [-24, -75, -15, 20, 8],
 [-22, 14, -8, -7, -33],
 [24, -9, -3, -7, 44]]

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


[User]
Determine the rank of the following matrix:
[[-16, -16, 32, -30, -10],
 [28, -12, -16, -10, -10],
 [-8, -8, 16, -15, -5],
 [12, 4, -16, 10, 2],
 [-6, -18, 24, -30, -12]]

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


[User]
What is the rank of the matrix:
[[20, 12, 4, -12, 12],
 [-41, -12, -8, 15, -5],
 [-40, 21, 10, 51, -42],
 [34, -9, -1, -24, 12],
 [3, -33, -12, -18, 9]]?

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


[User]
What is the rank of the matrix:
[[10, 16, -12, 2, -19],
 [13, 3, -16, 49, 34],
 [79, -22, -30, 8, -17],
 [68, -12, -32, 20, -4],
 [15, -38, 22, -12, -45]]?

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


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

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


[User]
Find the rank of the matrix:
[[-27, 5, -51, -33, -47],
 [-49, -21, 5, -19, 13],
 [-9, -31, -60, -69, -2],
 [16, 24, -12, 14, -32],
 [50, 26, -10, 20, -22]]

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


[User]
Find the rank of the matrix:
[[-49, -50, -5, 11, -5],
 [-6, -16, -6, -22, 38],
 [42, 46, 6, -2, -8],
 [36, 41, 6, 2, -13],
 [-18, -15, 0, 12, -15]]

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


[User]
Determine the rank of the following matrix:
[[-12, -3, 2, 0, 3],
 [1, -19, 8, -14, 19],
 [-1, 19, -8, 14, -19],
 [0, -33, 14, -24, 33],
 [-15, -45, 20, -30, 45]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -3, 21, -6, -27],
 [-17, 13, 21, -22, 2],
 [-19, -23, -5, 18, 13],
 [-4, -22, -6, 20, -2],
 [-22, -10, -18, 12, 40]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -20, 45, 51, -28],
 [17, 10, 57, 5, -32],
 [30, -54, -55, 33, 2],
 [-12, -29, 2, 15, 43],
 [-7, 12, 41, 12, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[22, -8, -32, 14, 14],
 [19, 41, 11, 43, 60],
 [-22, -23, 7, -34, -45],
 [17, -9, -27, 9, 8],
 [-10, 29, 35, 10, 19]]

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


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

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


[User]
Find the rank of the matrix:
[[-35, 8, 4, 25, 19],
 [-8, 7, 5, -15, -28],
 [23, -15, 2, 9, 44],
 [-58, 25, -20, 34, -29],
 [-15, 10, -29, 24, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, 12, -5, -5, 5],
 [23, -16, 3, 32, -2],
 [15, -20, 2, 36, -11],
 [-4, 0, -2, 13, 2],
 [-9, 36, -4, -34, 39]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -35, 24, -6, 29],
 [-20, 36, -34, 6, 26],
 [6, -26, 20, 60, -20],
 [0, 52, -36, -16, -30],
 [0, -40, 27, 67, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 24, 4, 0, 20],
 [0, 0, 0, 0, 0],
 [-6, 12, 2, 0, 10],
 [3, -6, -1, 0, -5],
 [-6, 12, 2, 0, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -15, -8, -30, 3],
 [-15, -15, 27, -9, 3],
 [15, 15, -27, 9, -3],
 [-1, 15, 13, 33, -3],
 [-4, 10, 17, 27, -2]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, -16, 6, 26, 23],
 [4, 8, -16, 0, 8],
 [-10, -20, 8, 32, 28],
 [6, 12, 6, -30, -33],
 [-6, -12, 4, 20, 18]]

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


[User]
What is the rank of the matrix:
[[44, 36, 8, 30, -32],
 [52, 6, 38, 6, -10],
 [-48, 20, -17, -44, -15],
 [-6, -26, 10, -1, 18],
 [-5, -55, -8, 37, 46]]?

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


[User]
Calculate the rank of matrix A where A =
[[7, -8, -9, -16, 6],
 [-8, -9, 20, 29, -12],
 [3, -35, 11, -31, 10],
 [1, -29, 13, 1, -2],
 [33, -12, -51, 18, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-28, 0, 16, -36, 4],
 [-36, -19, 7, -30, 16],
 [20, 16, 0, 12, -12],
 [4, -8, -8, 12, 4],
 [20, 16, 0, 12, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[39, -15, -22, 4, -23],
 [24, 0, -4, 4, -20],
 [-24, 30, 35, 1, 1],
 [26, -20, -25, 1, -9],
 [15, -15, -18, 0, -3]]

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


[User]
Determine the rank of the following matrix:
[[-15, 30, -30, -25, 5],
 [-3, -18, 24, 13, -23],
 [9, -10, 8, 9, 5],
 [-12, 12, -9, -11, -8],
 [-18, 40, -41, -33, 10]]

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


[User]
Find the rank of the matrix:
[[6, 14, -52, 14, 8],
 [-5, -7, 34, -7, 5],
 [-1, 1, 2, 1, 7],
 [3, 11, -34, 11, 14],
 [5, 3, -26, 3, -15]]

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


[User]
Find the rank of the matrix:
[[-20, -38, 17, 0, 48],
 [-7, -75, 20, -20, 44],
 [8, -4, 21, 45, -2],
 [-18, -18, -10, -42, 28],
 [-10, -56, 0, -49, 34]]

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


[User]
Calculate the rank of matrix A where A =
[[28, -54, -12, 32, 38],
 [20, -30, 0, 20, 30],
 [12, -6, 12, 8, 22],
 [-14, 12, -9, -11, -24],
 [-4, 24, 18, -10, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 25, -5, -15, 0],
 [12, -15, 3, 9, 0],
 [-16, -10, 21, -42, 0],
 [-8, 40, -27, 24, 0],
 [0, -24, 20, -24, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[24, 40, 71, 4, -26],
 [-36, -1, -41, 1, 16],
 [12, -1, -37, -18, 10],
 [-59, -88, -44, 43, 16],
 [-19, -19, -22, 28, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 22, -6, 35, -8],
 [42, -12, 30, -21, -30],
 [-12, -12, -12, -18, 24],
 [28, -8, 20, -14, -20],
 [18, 9, 16, 13, -27]]

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


[User]
Calculate the rank of matrix A where A =
[[29, 46, -76, 14, 50],
 [-49, 19, 30, 33, -24],
 [10, -44, 14, -18, 32],
 [-29, -16, 32, -4, 2],
 [21, -3, -13, 14, 2]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -27, 20, 13, -23],
 [-4, -44, 43, 40, -33],
 [8, -23, 7, 1, -12],
 [27, -15, -20, -34, -4],
 [-12, 16, 5, 12, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, -20, 15, 0, -25],
 [2, -8, 6, 0, -10],
 [2, -8, 6, 0, -10],
 [4, -16, 12, 0, -20],
 [2, -8, 6, 0, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 12, 76, 20, -3],
 [4, 48, 50, 0, -41],
 [-12, -1, -7, -15, -35],
 [16, -2, 7, 26, 42],
 [-28, 2, 44, -18, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 41, -8, -41, 12],
 [-17, 9, 2, 33, 12],
 [-15, -25, 23, 49, 18],
 [-9, 25, 3, -43, 15],
 [-20, -76, 31, 56, -1]]

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


[User]
Determine the rank of the following matrix:
[[9, -8, 68, -37, 6],
 [1, 12, 28, -27, 1],
 [11, -13, 63, -35, 10],
 [-24, 50, 10, 4, -42],
 [1, 2, -22, 1, 7]]

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


[User]
Determine the rank of the following matrix:
[[-34, -5, 23, -33, -19],
 [14, -29, 8, 0, 2],
 [-34, -21, 32, -40, -22],
 [24, 28, -30, 34, 18],
 [-22, -7, 17, -23, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -8, 12, -12, 8],
 [10, -3, 2, -12, 18],
 [-29, -21, 32, -30, 18],
 [24, 17, -26, 24, -14],
 [-9, 6, -6, 18, -24]]

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


[User]
Determine the rank of the following matrix:
[[-8, 9, -27, -17, -5],
 [7, 3, 5, 17, 15],
 [11, 9, 21, 35, 11],
 [-4, -54, 15, -46, -1],
 [-3, 0, -18, -12, 6]]

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


[User]
Find the rank of the matrix:
[[-20, 26, 6, -16, -4],
 [20, 10, 30, -20, -5],
 [36, -6, 30, -12, -3],
 [48, -12, 36, -12, -3],
 [28, -10, 18, -4, -1]]

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


[User]
Determine the rank of the following matrix:
[[16, 12, -4, -44, -16],
 [20, 78, 17, 0, -51],
 [16, 60, 8, -14, -42],
 [24, 60, 12, -21, -43],
 [-8, -24, -14, -18, 12]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -29, 27, -7, -35],
 [39, -6, 24, 33, -24],
 [22, 27, 31, 31, 1],
 [-41, -13, 5, -38, -4],
 [33, 22, 0, 35, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 26, 15, 11, 22],
 [3, -9, -25, -38, -40],
 [2, -59, -28, -10, -34],
 [25, -52, -32, 13, 4],
 [25, -31, -29, 4, 4]]

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


[User]
Find the rank of the matrix:
[[-10, 17, -41, 28, 7],
 [6, 34, 10, -2, -19],
 [-10, -16, 38, -54, -16],
 [1, 0, 1, 15, 0],
 [-12, 12, -26, -28, 1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[47, -36, 41, -4, -28],
 [4, -4, -5, -1, -21],
 [23, -22, 19, -4, -12],
 [-30, -6, -35, -11, 25],
 [-7, -24, -10, -13, 23]]

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


[User]
Determine the rank of the following matrix:
[[-8, -37, 12, 13, -3],
 [-36, 30, 36, 2, -30],
 [6, -36, -24, -16, 6],
 [-24, -51, 18, 7, -15],
 [-5, 8, 24, 22, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[18, 6, -22, 16, 2],
 [-34, -8, 36, -28, 14],
 [30, 6, -30, 24, -18],
 [-13, 1, 7, -8, 27],
 [5, -2, 0, 2, -19]]

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


[User]
What is the rank of the matrix:
[[-1, -25, 28, 29, -4],
 [-48, 57, -24, -45, -20],
 [-7, 40, -13, -47, -26],
 [-8, -8, -16, 16, 24],
 [-13, -13, 28, 17, -20]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-6, 3, 6, 59, -11],
 [0, -12, 20, -14, -16],
 [51, -18, 36, -45, 4],
 [24, -6, 8, -40, 10],
 [39, -9, 30, 18, -1]]

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


[User]
Determine the rank of the following matrix:
[[-16, 1, 25, 32, 26],
 [-1, 11, 0, 27, 11],
 [-14, -14, 24, -6, 10],
 [15, 10, -25, -5, -15],
 [-3, 12, 3, 33, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -2, 25, -21, 32],
 [-8, -4, -10, -6, 16],
 [3, -3, 15, -18, 30],
 [-7, -5, -5, -12, 26],
 [8, -4, 30, -30, 48]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, 18, 9, 0, -8],
 [-29, -20, 25, 2, -27],
 [11, 20, -43, 4, 5],
 [4, -30, -73, -25, -6],
 [-23, 26, -22, 4, -29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 10, -22, -8, -18],
 [29, 15, 32, 27, 38],
 [5, -30, 26, 0, 14],
 [11, 25, 0, 13, 10],
 [8, 50, -20, 14, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[32, -41, 1, -13, 22],
 [28, -10, 9, 5, -14],
 [-10, -37, -3, -25, -55],
 [-12, 21, 67, -42, 39],
 [-46, 5, -25, -7, -1]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, 1, -6, 0, 6],
 [15, -5, 30, 0, -30],
 [21, 39, 0, -36, 42],
 [36, 34, 30, -36, 12],
 [-23, -23, -18, 24, -10]]?

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


[User]
Determine the rank of the following matrix:
[[-25, 54, -5, 18, 5],
 [-16, -5, 15, 0, -4],
 [44, -41, -15, -16, 1],
 [-28, 16, 0, 8, -2],
 [7, 7, -20, 2, 3]]

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


[User]
Determine the rank of the following matrix:
[[62, 36, -22, 6, 18],
 [46, 74, -12, -31, -18],
 [36, 6, -30, 28, 10],
 [-80, -76, 1, 33, -7],
 [8, 34, 2, -23, -16]]

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


[User]
Determine the rank of the following matrix:
[[30, 5, 38, 13, -39],
 [35, 6, -4, 16, -25],
 [-74, -18, -20, -22, 52],
 [4, 48, -8, -24, -12],
 [-1, 15, -28, 5, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[36, 24, -30, 30, 12],
 [-12, -8, 10, -10, -4],
 [-18, -12, 15, -15, -6],
 [30, 20, -25, 25, 10],
 [-30, -20, 25, -25, -10]]

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


[User]
What is the rank of the matrix:
[[2, -42, 4, 16, 11],
 [-1, -30, -2, 16, 8],
 [-15, 50, 50, 0, -10],
 [-9, 42, 36, -6, -9],
 [-8, -18, -58, 26, 4]]?

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


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

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


[User]
Find the rank of the matrix:
[[-5, 2, 6, 5, -4],
 [14, -8, -27, -5, 34],
 [11, -6, -20, -5, 24],
 [-34, 12, 34, 40, -12],
 [-19, 10, 33, 10, -38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 15, -24, 34, -12],
 [-3, -24, -18, -10, 36],
 [14, -6, -28, 16, 16],
 [2, 9, 21, -12, 17],
 [-8, -6, 13, -18, 17]]

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


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

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


[User]
Determine the rank of the following matrix:
[[30, -8, 43, -11, 19],
 [-36, -14, -32, -10, 5],
 [4, -38, -20, 22, 25],
 [-16, -45, -28, 10, 21],
 [-56, 2, -60, 1, -25]]

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


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

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


[User]
Find the rank of the matrix:
[[5, -11, -13, 10, -4],
 [-6, 2, -22, -2, 10],
 [4, -13, -24, 7, 3],
 [10, -23, -30, 27, -13],
 [-18, 16, -32, -19, 29]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-10, 11, 39, -29, 50],
 [45, 12, 4, 20, 60],
 [-2, 13, -23, -11, -34],
 [4, 34, 7, -26, 30],
 [8, -4, -26, 12, -34]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-18, -4, 0, -16, -54],
 [-25, -9, 29, -3, 21],
 [7, 39, -54, -19, -35],
 [29, 15, -28, 9, 15],
 [-51, 34, -3, -32, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, 29, 53, 27, -5],
 [38, 14, 28, -50, 10],
 [-11, 1, -7, -34, 21],
 [20, 16, 27, -35, 14],
 [12, 2, -5, -11, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[22, -41, 5, 39, 26],
 [18, -38, 20, 31, 32],
 [38, -28, 18, 47, -42],
 [-2, 27, -23, -6, -17],
 [-20, 76, -8, -40, 10]]

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


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

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


[User]
Find the rank of the matrix:
[[-14, 36, -32, -42, -80],
 [14, 9, 49, 44, 19],
 [12, -11, -17, -14, -5],
 [27, -16, 1, 13, 10],
 [15, 0, 60, 42, 42]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 20, -12, -2, -8],
 [6, 20, -12, -2, -8],
 [-3, -10, 6, 1, 4],
 [-3, -22, 16, 11, 10],
 [18, 30, -11, 19, -9]]

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


[User]
Find the rank of the matrix:
[[25, 33, 19, 9, 0],
 [32, 38, 36, 4, -34],
 [-42, -54, -44, -9, 30],
 [23, 6, 22, -7, -53],
 [-11, 2, 10, 16, -13]]

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


[User]
What is the rank of the matrix:
[[40, 10, 21, 4, 13],
 [-33, -18, -16, -2, -23],
 [3, -35, -12, -16, 6],
 [9, -14, -8, -14, 23],
 [7, -47, -10, -16, -4]]?

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


[User]
Determine the rank of the following matrix:
[[-14, 16, 12, 20, 22],
 [-11, 16, 7, 23, 22],
 [1, -28, 1, -27, -32],
 [17, -33, -35, 2, -34],
 [23, -17, -22, -21, -25]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-13, 11, -4, 2, 6],
 [1, 11, 1, -25, 25],
 [1, 25, 4, -2, -14],
 [6, -48, -3, 33, -21],
 [27, -63, 3, 9, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, -6, -24, 36, -36],
 [15, 3, 12, -18, 18],
 [0, 0, 0, 0, 0],
 [-20, -4, -16, 24, -24],
 [25, 5, 20, -30, 30]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 5, 10, 11, -12],
 [18, -32, -31, -50, 16],
 [7, 2, -26, 2, -2],
 [12, 2, -8, 6, -12],
 [35, -5, -16, 1, -28]]

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


[User]
Determine the rank of the following matrix:
[[14, 21, -18, 18, 4],
 [37, 3, 1, 4, -18],
 [16, -39, 30, -6, -22],
 [-20, -30, 9, 30, 11],
 [-22, 30, -24, 4, 22]]

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


[User]
Find the rank of the matrix:
[[38, 37, 29, -49, -7],
 [0, -23, -32, 26, 62],
 [10, 73, 20, -56, -9],
 [21, 5, 38, -34, -39],
 [-9, -70, -37, 61, 46]]

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


[User]
Find the rank of the matrix:
[[-1, -26, 35, 42, 31],
 [6, 4, -28, -36, -26],
 [9, 51, -39, -45, -36],
 [-22, -32, 20, 24, 22],
 [9, 8, 28, 36, 23]]

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


[User]
Find the rank of the matrix:
[[-4, 31, 13, 0, 27],
 [60, 12, -16, 38, 6],
 [-29, -25, -7, -24, 12],
 [-2, -16, -4, 4, 4],
 [-11, -23, -21, -28, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -34, 38, 14, 10],
 [1, 37, 27, -9, 11],
 [42, -11, -3, -19, -10],
 [-18, 46, -36, -22, -17],
 [-16, 11, 1, 11, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 2, -3, -12, 8],
 [0, -12, -6, 16, 8],
 [-6, 18, 12, -17, -19],
 [-12, -12, 0, 30, -6],
 [-2, 22, 12, -27, -17]]

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


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

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


[User]
Find the rank of the matrix:
[[-6, 21, 5, -18, -26],
 [-14, -11, -5, 11, 4],
 [-18, 13, 3, -7, -26],
 [48, 2, -8, -29, 40],
 [-8, -7, 3, 16, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 10, -15, -10, -30],
 [15, -10, 15, 10, 30],
 [-12, 8, -12, -8, -24],
 [3, -2, 3, 2, 6],
 [-9, 6, -9, -6, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -68, 6, 6, 54],
 [-15, 0, 29, -25, 29],
 [70, 1, 0, -39, -37],
 [-1, 27, 45, -54, 38],
 [-17, -30, 27, -13, 73]]

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


[User]
Find the rank of the matrix:
[[-34, -4, -56, 1, -38],
 [-9, -19, -6, 17, -2],
 [7, -18, 5, 27, 4],
 [25, 5, 44, -5, 30],
 [-42, -32, -60, 29, -38]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 14, 58, 32, -43],
 [24, 24, 46, 20, 34],
 [44, 9, 5, 6, 26],
 [-25, -9, -3, 1, -29],
 [28, 15, 65, 50, -16]]

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


[User]
What is the rank of the matrix:
[[16, -18, -10, 20, 24],
 [-8, 1, 33, -51, -18],
 [-15, 3, 15, -24, 3],
 [55, -25, 55, 1, 9],
 [-18, 26, 14, -11, -24]]?

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


[User]
Calculate the rank of matrix A where A =
[[-14, -13, 16, 1, 41],
 [-29, -7, -12, -23, -16],
 [-14, -41, 8, -39, 5],
 [-8, -5, 6, 0, 17],
 [-35, -48, 2, -55, -1]]

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


[User]
Determine the rank of the following matrix:
[[-24, -12, 12, 23, -32],
 [-30, 12, 27, 35, -14],
 [6, -78, -24, -6, -6],
 [26, 2, -15, -41, 19],
 [-32, 62, 38, 16, -39]]

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


[User]
What is the rank of the matrix:
[[-6, 9, 0, 6, -12],
 [4, 11, -10, -4, -12],
 [30, 23, -40, -30, -20],
 [5, -16, 5, -5, 20],
 [0, -17, 10, 0, 20]]?

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


[User]
What is the rank of the matrix:
[[-20, -31, -15, -15, -23],
 [-8, -36, -4, 0, -4],
 [6, 2, 37, -30, -1],
 [-24, -29, -10, -30, -32],
 [14, 19, 3, 20, 19]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-29, -24, -10, 43, -14],
 [-20, 6, 47, 1, -32],
 [-2, -5, -32, 14, 5],
 [-15, -74, 4, 55, 36],
 [17, 12, -32, -13, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 8, 8, 10, 2],
 [6, 12, 12, 15, 3],
 [-8, -16, -16, -20, -4],
 [-2, -4, -4, -5, -1],
 [10, 20, 20, 25, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[40, -24, 27, -14, -22],
 [-8, -4, -24, 22, -8],
 [-19, 24, 12, -10, 27],
 [23, -14, 12, 11, -15],
 [-8, -8, -33, 34, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -1, -5, -8, 3],
 [-14, 0, 12, 24, -12],
 [36, 16, 8, -16, 24],
 [0, 7, 17, 20, -3],
 [-3, 1, 5, 8, -3]]

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


[User]
Find the rank of the matrix:
[[18, -7, -8, -14, 4],
 [-32, 8, 10, -6, -32],
 [-4, -19, -16, 2, 38],
 [22, 14, 10, 6, -14],
 [-20, 6, 7, -13, -32]]

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


[User]
Find the rank of the matrix:
[[24, 8, -4, -8, -16],
 [-6, -2, 1, 2, 4],
 [-36, -12, 6, 12, 24],
 [-18, -6, 3, 6, 12],
 [-30, -10, 5, 10, 20]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [5, 15, 25, 15, -30],
 [-2, -6, -10, -6, 12],
 [2, 6, 10, 6, -12],
 [6, 18, 30, 18, -36]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, -43, 17, 15, 9],
 [-25, 69, -7, 38, -21],
 [16, -71, 21, -27, 25],
 [25, -15, -28, -14, -18],
 [-20, -19, 20, 2, 26]]

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


[User]
What is the rank of the matrix:
[[29, -6, 14, -34, 30],
 [-4, 0, 8, -16, -24],
 [2, -1, 8, -17, -12],
 [2, 0, -4, 8, 12],
 [-3, 0, 6, -12, -18]]?

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


[User]
Determine the rank of the following matrix:
[[10, 6, 30, 26, -1],
 [-40, 23, 3, -23, 31],
 [-16, 8, 20, -14, 5],
 [-5, -13, 33, 24, 9],
 [-35, 7, -11, -32, 21]]

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


[User]
Calculate the rank of matrix A where A =
[[22, 20, 7, 11, 7],
 [4, -19, 1, 17, 10],
 [6, -30, -34, 15, -15],
 [-11, 9, 0, 2, -16],
 [3, -12, -6, -20, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -12, 14, -41, -36],
 [-6, 1, -6, 27, 21],
 [5, -23, 6, -14, -70],
 [-7, -14, -8, 39, -19],
 [-6, 22, -20, 32, 12]]

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


[User]
What is the rank of the matrix:
[[-5, 33, -33, -20, 18],
 [29, -21, 18, -16, -36],
 [10, 27, -37, -20, 2],
 [13, 14, -25, -12, -6],
 [-32, -18, 37, 28, 22]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[14, 11, 31, -41, -15],
 [36, 26, -24, 9, -30],
 [10, 0, 17, -3, 5],
 [2, -20, -2, -40, -25],
 [4, 56, 2, -28, -30]]

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


[User]
Find the rank of the matrix:
[[-22, 53, -16, -42, -15],
 [5, -13, 10, -7, 26],
 [38, -51, 52, 56, 11],
 [-1, -51, 8, 12, 27],
 [33, -48, 54, 69, -15]]

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


[User]
Determine the rank of the following matrix:
[[21, -17, 5, -14, -2],
 [15, -6, 10, -16, -30],
 [-6, 27, -38, 24, 14],
 [36, -29, 0, -18, 10],
 [0, -9, 22, -14, 22]]

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


[User]
Determine the rank of the following matrix:
[[-12, -6, 7, 12, 13],
 [-28, -4, -16, -16, 32],
 [-40, 14, 35, 20, 41],
 [21, 39, 2, -33, -25],
 [-12, -6, 7, 12, 13]]

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


[User]
What is the rank of the matrix:
[[-4, 2, 10, -14, -56],
 [4, -2, -6, 4, 22],
 [14, -7, -19, 9, 60],
 [-16, 8, 10, 19, 31],
 [26, -13, -25, -9, 24]]?

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


[User]
What is the rank of the matrix:
[[-19, -18, -60, 33, 39],
 [0, -20, -42, 34, 20],
 [17, 40, 25, -4, 22],
 [12, 2, -35, 67, 59],
 [-18, 19, 13, 22, 41]]?

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


[User]
What is the rank of the matrix:
[[-14, 12, 0, -48, 34],
 [14, -10, -4, -10, 4],
 [-9, 18, -8, -8, -9],
 [20, -14, 19, -14, 12],
 [-4, 6, 45, -15, 20]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-26, -1, -13, 20, -4],
 [66, -35, 59, -54, -18],
 [-10, -17, 25, -38, -19],
 [50, 19, -23, 22, 35],
 [-42, 17, -35, 12, 12]]

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


[User]
Find the rank of the matrix:
[[-25, 5, -5, 5, 0],
 [-20, 4, -4, 4, 0],
 [-25, 5, -5, 5, 0],
 [-30, 6, -6, 6, 0],
 [-20, 4, -4, 4, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-39, 54, 10, 34, 22],
 [66, -32, 23, -48, -61],
 [32, -38, -2, -30, -23],
 [63, -48, 5, -44, -48],
 [48, -52, 9, -44, -35]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, -11, -16, 45, 36],
 [53, 6, -16, -15, -57],
 [22, 18, -5, -2, 5],
 [-10, 6, 43, -64, -5],
 [10, -32, -11, 14, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 40, -22, -26, 42],
 [-6, -35, 11, 26, -33],
 [-12, 14, 2, -2, 14],
 [42, -1, -9, -20, -5],
 [-48, -50, -16, 40, -36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 23, -34, 29, 22],
 [-15, -15, 24, -3, -6],
 [26, 26, -14, 34, 14],
 [41, 41, -38, 37, 20],
 [36, 24, -22, 12, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 5, -20, -45, -35],
 [-7, -3, -14, -39, -23],
 [-6, -9, -3, -18, -3],
 [14, 36, -14, 6, -32],
 [-7, -18, 7, -3, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 0, -9, -12, -6],
 [-4, 0, -6, -8, -4],
 [-10, 0, -15, -20, -10],
 [-8, 0, -12, -16, -8],
 [6, 0, 9, 12, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -5, 15, -8, 22],
 [-5, 2, -34, 20, -41],
 [26, -16, -8, 8, 6],
 [-13, 7, -29, 16, -40],
 [-1, 0, -20, 12, -23]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 33, -51, -24, 30],
 [-4, -3, -9, 4, 20],
 [0, 10, -10, -8, 0],
 [6, -23, 41, 16, -30],
 [0, 0, 0, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 24, -24, 3, 15],
 [0, -15, 18, 9, -3],
 [1, 7, -10, -10, -2],
 [0, 25, -30, -15, 5],
 [-5, 25, -22, 14, 22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -28, -40, -16, -18],
 [2, 24, 6, 42, 17],
 [-2, 4, -2, 6, -3],
 [-6, -58, -16, -76, -5],
 [-2, 11, -1, 21, 5]]

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


[User]
Find the rank of the matrix:
[[-25, -11, 22, -11, -4],
 [13, 1, -26, 3, 3],
 [16, -11, 1, -36, 36],
 [-8, -8, -20, 0, -6],
 [-6, 9, -15, 30, -27]]

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


[User]
What is the rank of the matrix:
[[-17, -4, 16, -12, -8],
 [26, 16, 6, 6, 18],
 [-13, -20, -40, 12, -16],
 [22, 20, 25, -3, 19],
 [-5, -16, -41, 15, -11]]?

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


[User]
Calculate the rank of matrix A where A =
[[10, 13, -29, -17, 6],
 [44, -44, -21, -19, -17],
 [-13, 19, 1, 13, 3],
 [-22, 24, 4, 8, 18],
 [41, -38, -24, 20, -21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -22, -18, -24, -4],
 [24, 6, -18, 36, -48],
 [12, 15, -3, 36, -30],
 [16, -36, -32, -36, -12],
 [0, -8, -4, -12, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[19, -11, -11, -11, 9],
 [10, -10, -6, -10, 10],
 [-16, 24, 10, 24, -26],
 [6, 26, -2, 26, -34],
 [12, 12, -6, 12, -18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 10, -6, -2, 8],
 [-6, 5, -3, -1, 4],
 [12, -10, 6, 2, -8],
 [30, -25, 15, 5, -20],
 [-6, 5, -3, -1, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -9, 0, 3, -3],
 [-35, 3, 12, -7, 13],
 [5, -48, 30, 1, 14],
 [15, 0, -6, 3, -6],
 [5, 33, -24, 1, -13]]

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


[User]
Find the rank of the matrix:
[[9, -9, 7, -22, -29],
 [24, -40, 31, 11, -21],
 [29, 3, -7, 0, -35],
 [-7, -5, 6, -25, -12],
 [-35, 3, 3, -14, 31]]

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


[User]
Calculate the rank of matrix A where A =
[[-51, 0, 36, -12, -35],
 [5, 17, -11, -56, 36],
 [19, -16, -14, 30, 4],
 [14, -33, -24, -18, 44],
 [16, -38, -4, 14, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, -16, 12, 7, -6],
 [-36, 0, 8, -6, -4],
 [-32, -2, 8, -4, -4],
 [54, 18, -20, -3, 10],
 [-8, -32, 16, 20, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -2, -16, 0, 15],
 [30, 0, 20, 30, -25],
 [12, 6, 40, -12, -35],
 [-9, -3, -22, 3, 20],
 [12, -6, -24, 36, 15]]

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


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

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


[User]
Find the rank of the matrix:
[[8, -3, 31, -2, 22],
 [-16, -8, -45, 13, -30],
 [-6, 12, 51, 3, 10],
 [-6, 21, -16, 11, -10],
 [-27, 41, 26, 22, -21]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[21, -25, -10, 27, 1],
 [-19, -3, -53, 8, -2],
 [-14, 42, -15, -23, 3],
 [-3, -19, 8, 2, -1],
 [-6, -53, 38, 17, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, 3, 42, -5, -23],
 [11, 0, 15, 17, 26],
 [12, -2, 50, -2, -32],
 [8, 0, 30, -4, -22],
 [10, 9, -6, -5, 13]]

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


[User]
Determine the rank of the following matrix:
[[0, -2, -16, 33, -5],
 [4, 8, -6, 17, 3],
 [26, 18, -16, 35, 17],
 [-6, 50, -2, 46, 10],
 [34, 23, -17, 35, 19]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 24, -6, -21, 7],
 [-2, -6, 24, 3, 5],
 [12, 36, 26, -35, 21],
 [-18, -54, -14, 50, -24],
 [-10, -30, 0, 27, -11]]

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


[User]
What is the rank of the matrix:
[[18, -10, 6, -20, 22],
 [15, 36, -15, 27, -24],
 [-14, -1, 0, 7, -9],
 [54, 18, 2, -12, 18],
 [-52, -27, 10, 3, -11]]?

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


[User]
Find the rank of the matrix:
[[-2, 8, -10, 4, 18],
 [18, 20, -20, -7, 17],
 [4, 12, 22, 13, -9],
 [-5, -11, -9, -7, 1],
 [-4, 7, 34, 20, -15]]

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


[User]
What is the rank of the matrix:
[[-45, 29, 5, -26, 9],
 [-4, -32, 40, 0, -56],
 [-32, -13, 5, 18, -25],
 [-7, -1, -25, 26, 13],
 [13, 30, -40, 0, 57]]?

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


[User]
Determine the rank of the following matrix:
[[-68, 17, 25, -43, 38],
 [15, -14, 8, -8, -9],
 [0, -16, -4, -2, -28],
 [-31, 20, -21, -3, -3],
 [-4, -11, 2, -2, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[52, 36, 44, 12, -16],
 [-52, -20, -24, 8, 24],
 [60, 20, 19, -23, -32],
 [8, 6, 13, 14, 1],
 [-14, 30, 20, 10, 14]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[3, -4, 38, 28, 10],
 [13, 37, 16, -13, 16],
 [-10, 8, 50, 22, 32],
 [-16, 10, 24, 2, 28],
 [-16, -10, 32, 22, 20]]

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


[User]
Find the rank of the matrix:
[[-12, -22, 4, 4, -4],
 [12, 32, 2, -2, 16],
 [30, 20, -31, -17, -32],
 [-24, 6, 38, 18, 52],
 [-12, 3, 19, 9, 26]]

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


[User]
What is the rank of the matrix:
[[22, -4, -48, 18, -18],
 [-16, 1, 30, -12, 3],
 [-4, 2, 12, -4, 10],
 [10, 2, -12, 6, 12],
 [7, 0, -12, 5, 1]]?

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


[User]
What is the rank of the matrix:
[[-30, 47, 46, 5, -39],
 [31, -25, -2, 9, 14],
 [43, -27, 10, 31, 16],
 [-19, -5, -42, 9, 24],
 [-24, 18, -8, 39, 8]]?

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


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

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


[User]
Find the rank of the matrix:
[[-2, 5, -1, 1, -2],
 [-16, 4, 20, 4, 0],
 [28, 11, -49, -5, -8],
 [4, -10, 2, -2, 4],
 [2, -5, 1, -1, 2]]

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


[User]
What is the rank of the matrix:
[[13, -34, 38, 44, -7],
 [-5, -1, -22, -21, -22],
 [6, -24, -9, -5, -27],
 [2, -22, 32, 38, -16],
 [36, -45, 6, 7, 15]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 20, 38, 8, -6],
 [0, -2, -8, 2, 2],
 [0, -18, -36, -6, 6],
 [0, -14, -26, -6, 4],
 [0, 12, 24, 4, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[48, -42, -6, 30, -15],
 [8, -10, 14, -22, 11],
 [36, -30, -12, 36, -18],
 [10, -11, 10, -14, 7],
 [-44, 40, -2, -14, 7]]

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


[User]
Determine the rank of the following matrix:
[[-6, 12, 6, 2, 10],
 [-51, -7, -56, -2, -17],
 [17, -6, -9, 13, 11],
 [-4, 20, 57, -58, -38],
 [30, -12, 37, -14, -17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 3, 6, -3, 1],
 [30, -44, -4, -38, 16],
 [-60, 34, 8, 46, 6],
 [0, 9, 18, -9, 3],
 [25, -12, -38, 9, -22]]

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[User]
Calculate the rank of matrix A where A =
[[-9, -15, 6, 18, 33],
 [32, -5, 16, -29, -24],
 [22, -5, 12, -19, -14],
 [8, 5, 0, -11, -16],
 [31, -15, 22, -22, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -12, 0, 20, -20],
 [0, 2, -20, -10, 20],
 [0, -10, -26, 8, 5],
 [0, -2, 2, 4, -5],
 [0, 0, -24, -8, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[-38, 20, 33, -21, 38],
 [-8, -24, -22, -18, 12],
 [3, 28, 17, 3, 10],
 [1, 44, 29, 3, 18],
 [0, 20, 5, -9, 22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, 6, -15, -9, 15],
 [9, -30, 21, 39, -21],
 [-12, -2, 14, 4, -14],
 [30, -16, -14, 18, 14],
 [-21, 16, 5, -19, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[-44, -26, -48, -12, 24],
 [5, 0, 10, -2, -8],
 [-24, -12, -5, 0, -4],
 [32, 7, 22, -10, -12],
 [-43, -25, -52, -12, 28]]

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


[User]
Find the rank of the matrix:
[[-6, -26, 4, -18, -11],
 [50, -18, 20, -44, 40],
 [20, 49, -40, -8, 5],
 [-35, -23, 20, 26, -12],
 [5, -31, 44, 4, 33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 20, 20, -5, 30],
 [-20, -40, -28, 7, -24],
 [-8, -52, -40, 10, -42],
 [-8, 8, 8, -2, 12],
 [4, 6, 4, -1, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[13, 3, 18, 12, -3],
 [-9, -4, -29, -11, 14],
 [-19, 1, 20, -10, -29],
 [0, 0, 0, 0, 0],
 [51, 6, 21, 39, 24]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[10, 36, -32, -32, -48],
 [9, 29, -27, -26, -38],
 [-1, -24, 14, 20, 36],
 [16, -7, -17, 2, 22],
 [27, 2, -36, -8, 16]]?

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


[User]
Calculate the rank of matrix A where A =
[[16, -21, 8, -7, 43],
 [-27, 28, -44, -24, -3],
 [3, -44, 32, 20, -13],
 [4, -4, 27, 22, -13],
 [43, -14, 6, -11, 22]]

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


[User]
What is the rank of the matrix:
[[15, -9, 6, 39, 6],
 [21, 1, 18, 41, -6],
 [-12, -20, -24, -4, 24],
 [-3, 12, 6, -18, -12],
 [-4, -35, -28, 27, 38]]?

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


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

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


[User]
What is the rank of the matrix:
[[-56, -18, 33, 15, -6],
 [30, -10, 12, 26, 10],
 [-58, -2, 34, 16, -2],
 [-52, -9, -12, -23, -28],
 [-65, -7, -9, -38, -22]]?

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


[User]
Calculate the rank of matrix A where A =
[[4, -1, 0, 6, 4],
 [-12, 3, 0, -18, -12],
 [-12, 3, 0, -18, -12],
 [-20, 5, 0, -30, -20],
 [4, -1, 0, 6, 4]]

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


[User]
Find the rank of the matrix:
[[-16, -9, 36, -6, -16],
 [40, -9, -60, -6, 28],
 [-2, -2, 0, 4, -13],
 [6, -15, 3, -9, -3],
 [2, 16, -25, 17, -5]]

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


[User]
Find the rank of the matrix:
[[-7, 3, 1, 2, 5],
 [36, 6, -48, -30, 12],
 [-1, -31, -25, 26, 11],
 [3, -2, -13, -7, 15],
 [34, 25, -7, -71, 23]]

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


[User]
What is the rank of the matrix:
[[-34, -16, -46, -34, -30],
 [-7, -33, -21, -5, -14],
 [-36, -13, -16, 42, -33],
 [27, 11, 41, 40, 23],
 [-9, -36, -15, 17, -17]]?

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


[User]
Calculate the rank of matrix A where A =
[[26, 2, 6, -7, 27],
 [29, -12, -36, -32, 23],
 [10, 10, 30, 13, 15],
 [16, -8, -24, -20, 12],
 [-11, 8, 24, 18, -7]]

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[User]
Calculate the rank of matrix A where A =
[[-48, -37, 44, -48, -30],
 [-42, -30, 34, -40, -20],
 [-42, -53, 54, -56, 34],
 [-27, -7, 10, -17, -36],
 [12, 27, -24, 24, -46]]

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


[User]
Determine the rank of the following matrix:
[[-45, 3, -6, -18, -3],
 [15, -35, 26, -8, -25],
 [-34, -8, 24, 4, -2],
 [-18, 12, -60, -54, -12],
 [-19, 19, 34, 50, 31]]

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


[User]
Determine the rank of the following matrix:
[[17, -19, -35, 2, 12],
 [41, 19, 16, -6, -11],
 [-68, -47, -43, 22, -12],
 [-14, -10, -13, 0, 17],
 [-11, -3, -10, -10, 49]]

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


[User]
What is the rank of the matrix:
[[4, -5, -7, 49, 24],
 [-38, -11, 18, 18, 12],
 [-14, 10, 41, 41, -18],
 [30, 26, 24, -44, -18],
 [43, 17, -3, 23, -6]]?

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


[User]
What is the rank of the matrix:
[[12, 18, 12, -39, 0],
 [-24, -24, 36, -51, -12],
 [-19, 14, 13, 10, 19],
 [-14, -17, 15, -13, -6],
 [17, -31, -64, 8, -33]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[23, 29, 0, -13, 1],
 [24, 32, -4, -16, -4],
 [31, 43, -9, -23, -10],
 [-21, -33, 15, 21, 18],
 [-5, -5, -3, 1, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, -8, -27, -13, 10],
 [-14, -25, 8, 4, -9],
 [-60, -62, 7, -19, 1],
 [3, 21, 40, -1, -8],
 [-8, 11, -5, -17, 14]]

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


[User]
Determine the rank of the following matrix:
[[-11, 47, -46, 62, -32],
 [-3, 16, -8, 32, -19],
 [-5, 15, -15, 31, 12],
 [8, -35, 35, -43, 27],
 [-3, 6, -18, -6, 15]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [10, 25, -10, -30, 20],
 [-8, -20, 8, 24, -16],
 [12, 30, -12, -36, 24],
 [-6, -15, 6, 18, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, 20, -45, -20, 25],
 [0, -20, 15, 30, -5],
 [-21, 34, -33, -6, 7],
 [-2, -18, 7, 15, 2],
 [21, 12, 39, 51, -42]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 6, 48, -4, 14],
 [14, 12, -30, -14, 16],
 [8, 10, 6, -6, 14],
 [-21, -26, 3, 30, -42],
 [7, 13, 18, -18, 25]]

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


[User]
Find the rank of the matrix:
[[-23, -5, 14, -12, -17],
 [-34, -26, 19, -8, -27],
 [-46, -22, 41, -8, -25],
 [29, 25, -15, 6, 24],
 [-30, -12, 45, 6, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, 24, 3, 17, -5],
 [21, 27, 3, 18, -8],
 [18, -46, -10, -16, -10],
 [1, 43, 16, 21, 48],
 [1, 3, 3, 2, 14]]

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


[User]
What is the rank of the matrix:
[[-18, -15, -12, -3, 9],
 [36, 30, 24, 6, -18],
 [24, 20, 16, 4, -12],
 [6, 5, 4, 1, -3],
 [24, 20, 16, 4, -12]]?

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


[User]
Determine the rank of the following matrix:
[[-20, -8, 20, 8, 16],
 [-36, -9, 35, 18, 22],
 [15, 6, -15, -6, -12],
 [7, 19, -10, 8, -26],
 [18, 18, -20, 0, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -3, 5, 6, -3],
 [-12, -5, 45, 14, 1],
 [0, 4, -12, 8, 4],
 [-34, 12, -7, -6, 15],
 [18, -7, -8, -22, -12]]

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


[User]
What is the rank of the matrix:
[[2, 10, -2, -28, -7],
 [-47, 36, 8, 27, 45],
 [4, 6, -25, 84, -6],
 [-11, 14, 12, -71, 14],
 [24, -58, 23, -8, -14]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, 2, 9, -6, 10],
 [-11, 7, 59, -61, 45],
 [4, -5, -28, 23, -27],
 [3, -5, 31, -29, 25],
 [12, -7, -35, 43, -21]]

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


[User]
Find the rank of the matrix:
[[0, -63, -26, -18, -32],
 [27, -36, -15, 0, -24],
 [27, -27, 3, 24, -18],
 [36, -21, -26, -18, -20],
 [-12, -20, -12, -16, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, 3, 13, 6, -10],
 [-1, -3, 29, 30, -32],
 [14, 10, -22, -36, 32],
 [2, 2, -10, -12, 12],
 [5, 5, -25, -30, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, -9, 19, 31, -5],
 [24, -32, -21, 20, 3],
 [11, 15, 19, -35, -53],
 [9, 5, -8, -5, 39],
 [-8, -6, -12, -28, -100]]

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


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

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


[User]
Determine the rank of the following matrix:
[[22, 13, 53, -14, 20],
 [12, -4, 18, 6, 18],
 [6, 35, -3, 30, 20],
 [-38, 38, -49, 31, -11],
 [-62, 39, -5, -7, -19]]

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


[User]
Determine the rank of the following matrix:
[[-37, 29, 1, -18, 18],
 [-37, 24, 30, 13, -6],
 [-7, -6, 35, 17, 19],
 [-50, 12, 56, 19, 17],
 [15, -17, -58, -42, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-34, -24, 20, 2, -8],
 [-10, 6, -3, 14, -6],
 [12, -24, 20, -28, 8],
 [27, 42, -44, 11, 7],
 [-39, -18, 15, -11, 3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-30, -24, 48, 24, 30],
 [-10, 0, -4, 0, 10],
 [0, -10, 25, 10, 0],
 [-20, -18, 37, 18, 20],
 [5, 2, -3, -2, -5]]

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


[User]
What is the rank of the matrix:
[[9, 51, 47, -32, 47],
 [51, 23, 43, 18, 3],
 [-3, 38, 38, -25, 28],
 [-11, -26, -16, 25, -46],
 [14, 6, 35, -5, 15]]?

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


[User]
Calculate the rank of matrix A where A =
[[24, -30, -15, 27, 18],
 [-20, 15, 11, 38, -8],
 [6, -2, 9, 49, 14],
 [13, 26, 14, -53, 2],
 [25, -21, -16, -34, 10]]

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


[User]
What is the rank of the matrix:
[[7, -1, -10, -23, -32],
 [22, 24, 10, 32, 8],
 [-8, 18, -59, 17, -1],
 [5, 25, -32, 33, 10],
 [12, 33, -42, 34, -1]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-47, -6, 4, -8, 12],
 [46, 11, 24, -26, -5],
 [-38, 44, 20, 56, 12],
 [-24, 32, 60, -8, 40],
 [-24, 26, 30, 16, 22]]

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


[User]
What is the rank of the matrix:
[[-4, 1, 2, 7, 1],
 [-27, -37, 16, 31, -2],
 [-23, -22, 20, 38, 9],
 [5, 29, 30, -3, 32],
 [13, 33, -4, -9, 8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[45, 13, -4, 22, 6],
 [-38, -13, 26, -16, -15],
 [-13, -14, 24, 10, -7],
 [-37, -2, -15, -32, -1],
 [-31, 3, 25, -36, -22]]

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


[User]
Determine the rank of the following matrix:
[[23, 12, 40, 14, -36],
 [-19, -6, -26, -10, 18],
 [6, -6, -6, 0, 18],
 [21, 4, 24, 10, -12],
 [-24, -11, -39, -14, 33]]

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


[User]
Determine the rank of the following matrix:
[[-25, -25, 35, 17, 8],
 [-17, 55, 2, -14, -13],
 [33, 15, -35, 15, -14],
 [0, 30, -6, 6, -12],
 [-26, -40, 37, 3, 17]]

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


[User]
What is the rank of the matrix:
[[5, 2, -6, -1, 6],
 [-30, -12, 36, 6, -36],
 [-30, -12, 36, 6, -36],
 [-5, -2, 6, 1, -6],
 [0, 0, 0, 0, 0]]?

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


[User]
What is the rank of the matrix:
[[-13, 0, 23, 6, -23],
 [5, 30, 20, 30, -20],
 [31, 30, -26, 18, 26],
 [2, 12, 8, 12, -8],
 [-5, -30, -20, -30, 20]]?

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


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

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


[User]
What is the rank of the matrix:
[[-20, -24, -4, -8, 8],
 [-20, 57, -30, 32, -21],
 [-7, -38, 9, -18, 14],
 [-1, 37, -21, 24, -19],
 [45, 26, 9, 10, -14]]?

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


[User]
What is the rank of the matrix:
[[27, -9, -25, 13, 0],
 [-27, 9, 33, -15, 18],
 [0, 0, 12, -3, 27],
 [-33, 11, 35, -17, 10],
 [12, -4, -4, 4, 16]]?

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


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

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


[User]
Find the rank of the matrix:
[[-46, 2, 8, 10, 24],
 [-14, -1, 20, 53, 30],
 [36, -11, -44, -33, 6],
 [1, -15, 8, 41, 4],
 [27, 1, -36, -35, 16]]

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


[User]
What is the rank of the matrix:
[[-21, 20, 8, -24, -8],
 [1, 9, 19, -2, 45],
 [30, -16, -8, 24, -8],
 [-31, 18, 2, -28, -18],
 [-60, -12, -16, -18, 12]]?

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


[User]
What is the rank of the matrix:
[[18, 22, 10, -12, -26],
 [7, 28, -2, -5, 1],
 [-37, -53, 13, 30, -3],
 [-7, 17, 11, 8, -13],
 [1, 9, 3, 0, -5]]?

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


[User]
What is the rank of the matrix:
[[-37, -65, 38, -27, 5],
 [24, 23, -1, -6, -26],
 [28, -11, 7, -25, 13],
 [-2, -37, 19, -9, 33],
 [-21, 6, -15, 39, 31]]?

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


[User]
Determine the rank of the following matrix:
[[4, 8, -42, -16, -45],
 [2, 30, -41, -5, -24],
 [-32, -5, 43, -25, 47],
 [40, -64, 38, 26, -17],
 [18, -18, -21, -21, -52]]

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


[User]
What is the rank of the matrix:
[[10, 18, 4, -22, -52],
 [11, -15, 6, 3, 44],
 [3, 1, 6, -25, 13],
 [2, -4, -4, 26, -6],
 [6, -12, -12, 78, -18]]?

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


[User]
What is the rank of the matrix:
[[52, -49, -10, -6, -35],
 [-6, 19, -11, -11, -1],
 [4, 24, -23, 10, -21],
 [40, -36, -12, 22, -36],
 [-38, -6, 21, -7, 44]]?

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


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

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


[User]
What is the rank of the matrix:
[[-18, 6, 10, -12, -31],
 [6, -2, -4, 4, 7],
 [-36, 12, 26, -24, -32],
 [24, -8, -24, 16, -12],
 [-12, 4, 14, -8, 16]]?

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


[User]
Find the rank of the matrix:
[[30, 56, 12, -2, 36],
 [-15, -33, -9, 9, -18],
 [-70, -18, 30, -22, 60],
 [-30, -11, 11, -6, 24],
 [35, 11, -17, 59, 18]]

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


[User]
What is the rank of the matrix:
[[-25, 20, 4, -2, -14],
 [-35, 0, 12, 0, -14],
 [-17, 37, 29, 26, -25],
 [27, -47, 5, 8, 19],
 [70, -65, -15, 1, 43]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, -45, -10, 30, -45],
 [20, 15, -30, -20, -5],
 [6, -9, -2, 6, -9],
 [34, -42, -16, 26, -46],
 [-30, 18, 24, -6, 30]]

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


[User]
Determine the rank of the following matrix:
[[-8, -3, 22, -38, -25],
 [-5, 26, 30, 10, 19],
 [-11, -8, -16, 11, 18],
 [-8, -3, 22, -38, -25],
 [8, 2, -2, 5, -3]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 7, -26, -1, 7],
 [27, 40, 7, -18, 19],
 [60, 21, 16, 7, -11],
 [-27, -16, -20, -12, -7],
 [-33, 9, -19, -19, 20]]

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


[User]
Find the rank of the matrix:
[[8, 4, -8, 4, -10],
 [-8, -30, 0, -6, 23],
 [13, -26, -23, 4, 0],
 [-3, -8, 1, -2, 7],
 [24, 12, -24, 12, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[60, -36, -34, 10, 26],
 [-21, 6, 22, -31, 1],
 [-24, 36, -14, 50, -26],
 [-23, 20, 9, -14, -2],
 [32, -8, -28, 4, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -10, 30, 0, 25],
 [-18, -6, 18, 0, 15],
 [0, 0, 0, 0, 0],
 [-24, -8, 24, 0, 20],
 [-36, -12, 36, 0, 30]]

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


[User]
Find the rank of the matrix:
[[-22, -17, 5, 18, -4],
 [-10, -16, 0, 18, 6],
 [-22, -24, 3, 24, 4],
 [1, -12, -4, 3, 26],
 [-3, 34, 11, -51, 13]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, -12, 16, 24, -4],
 [0, -15, 20, 30, -5],
 [0, 9, -12, -18, 3],
 [0, -12, 16, 24, -4],
 [0, -3, 4, 6, -1]]

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


[User]
Determine the rank of the following matrix:
[[-16, 17, -32, 17, 21],
 [45, -21, 30, -35, 38],
 [50, -25, 48, -47, 29],
 [41, -31, 28, -2, -2],
 [-45, 24, -52, 26, -5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-17, 37, 0, -38, 10],
 [-10, 39, -3, -26, 11],
 [-6, -8, 2, -4, -2],
 [4, 10, 10, -3, -1],
 [-19, 32, 9, -26, 7]]

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


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

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


[User]
What is the rank of the matrix:
[[19, -24, -2, 9, -10],
 [15, -25, 4, 15, -7],
 [-29, 40, 12, 12, -8],
 [-7, 16, 4, 12, -16],
 [1, -23, 6, -6, 29]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, -31, -25, 5, -9],
 [-21, 7, 19, -5, -9],
 [-17, -13, 13, -15, -21],
 [-38, -18, 32, 10, -48],
 [27, 13, -23, -14, 36]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[26, -10, 20, 42, -24],
 [-34, 23, -4, -36, 6],
 [-23, 26, 21, -8, -27],
 [-4, 9, 13, 13, -9],
 [-26, 10, -20, -42, 24]]

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


[User]
Find the rank of the matrix:
[[-25, -25, 22, -10, 5],
 [-7, 0, -8, -9, 35],
 [12, 12, -50, -36, -50],
 [-1, 3, 14, 18, 45],
 [2, 3, -53, -51, -55]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-18, 6, 6, -18, 18],
 [-43, -2, -28, 3, 66],
 [5, 4, 14, -15, -12],
 [24, 2, 14, 12, -42],
 [13, -5, -1, -6, -7]]

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


[User]
Determine the rank of the following matrix:
[[-3, -8, -23, 18, -12],
 [-20, -8, 4, -32, -8],
 [31, 6, 33, 16, 34],
 [33, -56, 33, 34, 48],
 [-18, -28, -14, -8, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[24, 39, 6, 11, -46],
 [34, 15, -13, 17, 42],
 [44, 0, -39, -2, 11],
 [22, 12, -14, 16, 31],
 [38, 11, -29, -3, -24]]

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


[User]
What is the rank of the matrix:
[[4, -34, -22, 18, -5],
 [8, 10, 27, 11, -44],
 [0, 6, 21, -11, -4],
 [-8, -10, -36, 2, 30],
 [-20, 32, -54, 12, 21]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-31, 21, 15, 13, -19],
 [26, -14, -11, -7, 16],
 [-36, -4, -4, -13, -11],
 [-31, 5, 7, -4, -18],
 [-22, -14, -30, -14, 22]]

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


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

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


[User]
What is the rank of the matrix:
[[-24, 16, -6, -18, -15],
 [0, -33, -24, 12, 6],
 [-4, -32, -20, 24, -4],
 [-31, -16, -31, -2, -17],
 [-45, -1, -31, -16, -26]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -13, 1, 4, 1],
 [2, -7, -5, -4, -13],
 [34, -38, -4, 4, -14],
 [10, -8, 2, 4, 4],
 [1, 1, 2, 2, 5]]

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


[User]
Determine the rank of the following matrix:
[[61, 9, 56, -23, -35],
 [-32, -13, -19, -6, 49],
 [-39, -18, -15, -21, 60],
 [39, 1, 49, -37, -15],
 [47, 12, 37, -7, -46]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, -18, -6, 9, -3],
 [-8, -8, -24, 20, 20],
 [6, 6, -30, 21, 33],
 [12, 12, 12, -12, -6],
 [12, 12, -4, 0, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[45, 18, -29, -34, -4],
 [0, 36, 7, 2, 32],
 [-12, 12, 11, 10, 16],
 [-15, -30, 5, 10, -20],
 [-33, -30, 18, 24, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-31, -22, 1, 28, 2],
 [-10, -7, -5, 13, -34],
 [-27, -21, -8, 29, -25],
 [4, 9, 13, -7, -14],
 [-13, -25, -34, 21, 31]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -18, -11, 5, 15],
 [2, -32, -24, -10, 10],
 [16, -16, -20, -28, 30],
 [10, 48, 32, -2, -30],
 [0, -60, -42, -12, 0]]

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


[User]
Find the rank of the matrix:
[[30, -10, -26, -40, -8],
 [9, -3, -21, -12, 2],
 [-6, 2, -8, 8, 6],
 [12, -4, 4, -16, -8],
 [9, -3, -9, -12, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[29, 11, -16, -34, 5],
 [2, 37, 2, -11, -4],
 [-3, 39, -6, -20, -27],
 [12, -53, -1, 12, 35],
 [28, 12, -19, -37, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-23, -32, -20, 28, 15],
 [-34, -8, -32, -12, 8],
 [-4, -4, -5, 14, 18],
 [-39, -12, -32, -2, 32],
 [-2, -12, -4, 10, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, 22, -4, 4, 34],
 [0, 0, 0, 0, 0],
 [10, -15, -10, 5, -30],
 [8, 2, -36, 22, -16],
 [8, -19, 6, -5, -28]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 36, -18, 30, 18],
 [2, 12, -6, 10, 6],
 [-5, -30, 15, -25, -15],
 [5, 30, -15, 25, 15],
 [0, 0, 0, 0, 0]]?

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


[User]
Find the rank of the matrix:
[[-21, 24, 12, -5, -11],
 [-30, 36, 16, -6, -14],
 [27, -36, -12, 3, 9],
 [-6, 24, -8, 10, 14],
 [6, -6, -4, 2, 4]]

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


[User]
Determine the rank of the following matrix:
[[-20, -2, -14, -42, 56],
 [-9, 43, 30, -57, 56],
 [48, -14, 1, 5, -36],
 [-32, -14, -12, 32, 4],
 [-26, 15, -2, -48, 60]]

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


[User]
What is the rank of the matrix:
[[-9, 9, 12, 9, 19],
 [-18, -9, -6, -9, 4],
 [18, 9, 6, 9, -4],
 [-8, 20, 24, 20, 32],
 [-18, -9, -6, -9, 4]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 9, 2, -19, -8],
 [32, -4, 38, -36, -27],
 [24, -12, 30, -12, -15],
 [-36, 0, -42, 48, 33],
 [22, 10, 24, -46, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 10, -55, -44, -34],
 [-46, -10, -29, -27, -14],
 [-8, -4, 22, 22, -22],
 [23, 28, 2, -13, 30],
 [-5, 32, -2, -17, -8]]

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


[User]
Find the rank of the matrix:
[[-9, 15, -52, -34, 47],
 [-29, -12, 22, 40, 2],
 [-14, -12, -14, -20, 46],
 [-29, -2, 8, 36, 4],
 [-26, 32, 6, 44, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[28, 26, -12, 14, 2],
 [24, 17, -19, 3, 16],
 [-39, -33, 18, -6, -3],
 [-27, -20, 22, -9, -20],
 [23, 16, -21, 7, 21]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[17, -10, -22, -9, 36],
 [-3, -2, 2, 11, -12],
 [2, -4, -4, 6, 0],
 [6, -4, -8, -2, 12],
 [4, -2, -5, -3, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-22, 42, -32, 5, 5],
 [15, 14, -3, 16, -5],
 [7, 18, 27, -25, -30],
 [-1, 18, -1, -3, -8],
 [7, -40, -15, 30, 31]]

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


[User]
Find the rank of the matrix:
[[24, 2, 16, 22, -20],
 [17, 22, 0, -6, -9],
 [30, -54, 12, 66, 54],
 [-14, 5, 18, -3, -60],
 [12, -57, 12, 57, 42]]

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


[User]
Determine the rank of the following matrix:
[[0, 9, 22, 30, -22],
 [9, 18, 14, 15, -23],
 [21, 36, 18, 15, -39],
 [-24, -27, 14, 30, 10],
 [-25, -30, 10, 25, 15]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-18, 30, 30, 30, -18],
 [15, -25, -25, -25, 15],
 [6, -10, -10, -10, 6],
 [-9, 15, 15, 15, -9]]

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


[User]
Find the rank of the matrix:
[[-25, -30, 30, -25, -20],
 [30, 36, -36, 30, 24],
 [20, 24, -24, 20, 16],
 [0, 0, 0, 0, 0],
 [15, 18, -18, 15, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[15, -5, -5, -15, -4],
 [-20, -40, -15, -15, -2],
 [19, 3, -32, -26, -6],
 [-6, 12, 42, 30, 6],
 [-21, -19, 26, 16, 4]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -10, -5, 6, 0],
 [-20, -40, -20, 6, -10],
 [0, -40, -20, 24, 0],
 [16, 4, 2, 12, 8],
 [-4, -36, -18, 18, -2]]

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


[User]
Determine the rank of the following matrix:
[[20, -30, -10, -30, 20],
 [9, -15, 18, -12, 0],
 [2, -4, 14, -2, -4],
 [2, 0, -46, -6, 20],
 [9, -13, -12, -14, 12]]

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


[User]
Determine the rank of the following matrix:
[[25, 6, -16, 18, 33],
 [-6, -14, 16, -4, -5],
 [-30, -18, 33, -39, -39],
 [10, 20, -18, -22, 6],
 [28, 24, -33, 11, 32]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, -32, -19, 3, 26],
 [-36, -22, 17, -75, 1],
 [-31, -42, -24, -30, 37],
 [-16, -34, -24, 3, 32],
 [-25, -66, -21, 24, 46]]

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


[User]
Determine the rank of the following matrix:
[[17, -34, 0, -7, -14],
 [48, 30, 69, -12, -87],
 [-9, 20, -15, 8, -11],
 [46, 2, 19, -34, -13],
 [-28, -56, -20, 24, 12]]

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


[User]
What is the rank of the matrix:
[[30, -25, -4, -22, 26],
 [-20, 19, -2, 10, 6],
 [45, -42, 3, -24, -6],
 [-15, 16, -5, 4, 22],
 [-20, 22, -8, 4, 36]]?

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