messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, 0, 4],\n [-3, 2, 1, -2],\n [-3, 1, 1, 0],\n [0, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3506 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 0, 0],\n [-1, 1, 2, 4],\n [0, 2, 0, 2],\n [0, 4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 617 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 4, 2],\n [0, -4, 2, 2],\n [4, 2, -2, 2],\n [2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6093 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-3, 4, -1, 1],\n [-4, 2, -1, 1],\n [3, 1, -4, 4],\n [2, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -37 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, -2, 1],\n [-2, 1, -3, -2],\n [-2, -3, -3, 0],\n [1, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 842 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 2, 0],\n [-3, 1, 0, -2],\n [2, 0, 3, -2],\n [0, -2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2201 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 3, -2],\n [-2, 2, -1, 2],\n [3, -1, -4, -1],\n [-2, 2, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -28 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 1, -4],\n [-2, -1, 2, -3],\n [4, -1, -4, -2],\n [-1, -4, 1, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 31 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -1],\n [2, -2, 0, 3],\n [2, 0, 3, -2],\n [-1, 3, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4284 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, -3, 0, -1],\n [-3, -2, 0, 0],\n [0, 0, 1, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 3, 1],\n [4, 2, 2, 3],\n [1, 0, 2, -2],\n [-3, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 560 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, -1, 0, 0],\n [-1, -1, -1, -3],\n [0, -1, -2, -1],\n [0, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 203 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 0, 2],\n [0, 4, 2, 0],\n [0, 2, -2, 0],\n [2, 0, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -2, 2],\n [-1, 0, 1, 1],\n [-1, -4, 2, -3],\n [0, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -706 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 2, 3],\n [0, -4, -1, -2],\n [2, -1, -3, 2],\n [3, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 128 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-3, -2, -4, 1],\n [4, 2, -4, -3],\n [4, -1, 2, 4],\n [-3, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -180 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, -3, -2, 1],\n [-4, -4, -3, -2],\n [4, -1, -2, 4],\n [1, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -4, 0, -1],\n [-4, -2, 2, -2],\n [0, 2, 4, -2],\n [-1, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4040 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, -1, 3],\n [4, -1, -4, -4],\n [4, 0, 0, 0],\n [3, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1275 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-4, 0, -1, 0],\n [0, -3, 2, 2],\n [-1, 2, -4, 0],\n [0, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -20 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -2, 3],\n [1, 1, 2, -2],\n [-2, 2, 1, -1],\n [3, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 754 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 0, 2],\n [-2, -3, -2, 2],\n [0, -2, -4, -2],\n [2, 2, -2, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 4, 2, 0],\n [-1, 2, 1, 0],\n [-2, 4, 1, 0],\n [-2, 2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 114 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, -2],\n [3, 4, 1, 3],\n [4, -2, -4, 4],\n [-4, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1418 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, -2, 2],\n [-4, -3, -4, 2],\n [1, 0, 2, 1],\n [-1, 0, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4891 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -3, 0, 2],\n [3, 2, -1, -1],\n [3, 3, 3, -4],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1386 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -2, 0],\n [0, -2, -2, 0],\n [-2, -2, 3, 0],\n [0, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1777 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, -1, 4],\n [4, 2, 3, -1],\n [-4, 0, -2, 4],\n [0, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 70 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, 3, 0],\n [0, 0, 0, -2],\n [3, 0, 3, -2],\n [0, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 107 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 2, 0],\n [0, -3, -2, 0],\n [2, -2, 0, 0],\n [0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1378 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 3],\n [0, 0, -3, 0],\n [0, -3, -1, 1],\n [3, 0, 1, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -66 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[0, -2, 3, 1],\n [-1, -1, 4, -4],\n [0, 1, -2, 1],\n [-2, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 265 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 2, 1],\n [-4, 0, 0, 0],\n [2, 0, -4, -2],\n [1, 0, -2, 4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 4, 1],\n [1, -1, 4, 0],\n [0, -3, -3, 0],\n [-4, -2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 419 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, 2, 4],\n [-2, 1, 2, 0],\n [2, 2, -2, 1],\n [4, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11187 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -4, 4],\n [-3, -2, -2, 3],\n [-2, -2, -2, -1],\n [-2, 1, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5536 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 0, 2],\n [1, 1, -1, 2],\n [0, -2, -3, -1],\n [4, -1, -4, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -558 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, -1, 1],\n [-3, -3, -2, 2],\n [1, 0, 3, 3],\n [3, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2156 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 0],\n [-2, 1, -1, 4],\n [0, -1, 4, 2],\n [0, 4, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 315 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, -3, 0, 1],\n [-2, 2, -1, -3],\n [2, 1, 4, -3],\n [-3, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, -1],\n [-2, -3, -1, 2],\n [2, -1, 1, 2],\n [-1, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 910 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, -3, 2],\n [-2, 2, 2, -2],\n [3, 1, 1, 3],\n [4, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1212 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -3, 1],\n [2, 3, 2, 1],\n [-3, -3, 4, 1],\n [-4, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4944 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -2, -1],\n [2, 0, 1, 0],\n [-2, 1, 3, 3],\n [-1, 0, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1312 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -4, 1],\n [-3, 2, 1, -2],\n [-1, 0, 0, -4],\n [3, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 732 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, -1, -1],\n [-3, 3, -2, 1],\n [-1, -2, 1, -1],\n [-1, 1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 712 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, -2],\n [2, 0, -2, 0],\n [0, -2, 3, 1],\n [-2, 0, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 329 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -3, -4],\n [4, 4, -4, -4],\n [3, 3, -1, 0],\n [4, -3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 922 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, -2, 0],\n [2, -2, 2, 2],\n [-2, 2, 3, 2],\n [0, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1075 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -2, 2],\n [-2, -4, 2, 0],\n [-2, 2, 4, -2],\n [2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -132 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, 4, 2],\n [-4, 3, 3, 3],\n [4, 1, 4, -4],\n [-2, -1, -1, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -40 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, 0, 0],\n [3, -1, 2, 2],\n [-3, -1, 3, 4],\n [0, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 18 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 1, 0],\n [-2, -1, 3, -4],\n [1, 3, 1, 2],\n [0, -4, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1063 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, -1, -4],\n [1, -1, -2, -4],\n [0, 4, -3, -4],\n [2, 3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3880 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[4, 1, 0, -1],\n [4, 2, 3, 1],\n [1, -3, 1, -3],\n [0, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -169 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, 0, -2, 1],\n [0, 1, -2, 0],\n [-2, -2, 2, -2],\n [1, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 405 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[1, -2, -3, 2],\n [-4, 2, -3, 4],\n [2, 0, 2, 0],\n [-3, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -54 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 3, 2, -1],\n [1, 1, -1, -1],\n [2, -2, -3, -1],\n [-1, -1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1614 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, -2, -4],\n [2, -1, 1, -1],\n [-2, 1, 1, -2],\n [-4, -1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2815 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, -2, 0],\n [3, -1, 3, 1],\n [-2, 3, 2, 0],\n [0, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 220 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 3, 0],\n [0, 2, 3, -4],\n [4, -3, -1, -3],\n [-4, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 194 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 4, -3, 0],\n [-4, 1, -2, 3],\n [-4, -3, -4, 0],\n [0, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6889 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 1, -4, -3],\n [-2, 3, 3, 3],\n [2, -4, -2, 3],\n [0, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 786 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, 1, 0, 2],\n [1, 3, 4, -1],\n [0, 4, -4, 0],\n [2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, -2, 1],\n [-3, 3, 4, 0],\n [-2, 4, -2, 2],\n [1, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13944 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2, 0],\n [1, 3, 0, -1],\n [2, 0, 0, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 27 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 3],\n [0, 3, 0, 2],\n [2, 0, -1, -3],\n [3, 2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 788 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, -1, -3],\n [-1, 4, -2, 1],\n [-1, -2, 0, 0],\n [-3, 1, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -288 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 0, 2, 4],\n [0, 3, -4, -3],\n [2, -4, -2, 4],\n [4, -3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -280 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 0, 0],\n [1, -1, 1, 0],\n [0, 1, 4, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 545 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 1],\n [0, 0, 3, -4],\n [0, 3, 0, 0],\n [1, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4287 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 0, 0],\n [2, -2, -2, 0],\n [0, -2, 2, -1],\n [0, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -38 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, 3, -2],\n [0, 2, 1, 3],\n [3, 1, 3, 0],\n [-2, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -39 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, -2, 4, 3],\n [0, 4, -3, -2],\n [-1, -1, 2, 0],\n [0, 1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 143 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, 0],\n [-2, -2, -1, 4],\n [-3, -2, 1, 1],\n [0, 1, 1, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -43 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -4, 4, -3],\n [4, 0, 3, 3],\n [2, -2, 3, 3],\n [-1, -4, -4, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -474 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, -2, 0, 0],\n [-2, 2, -2, -1],\n [0, -2, 2, -3],\n [0, -1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 104 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 1, -2],\n [-2, 4, 0, 0],\n [2, -3, -2, 1],\n [0, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 591 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -4, -3],\n [-1, 3, 4, 3],\n [3, 4, -2, 0],\n [-3, -4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 775 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 1, -1],\n [3, -1, -3, 4],\n [2, 2, 3, 3],\n [-3, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 260 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 1],\n [-1, -3, 2, 4],\n [-1, -1, -1, 2],\n [2, -4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1027 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 0, 4],\n [4, 2, 4, -3],\n [0, -3, -1, 1],\n [4, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1331 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 4, -2],\n [4, 3, -4, 0],\n [-4, -2, -2, 4],\n [-1, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 536 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 2, -1],\n [0, -1, 0, 0],\n [2, 0, -2, -2],\n [-1, 0, -2, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 330 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, 3, 4],\n [0, -4, -2, -1],\n [2, 2, 1, -1],\n [0, -4, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3560 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-1, 4, 2, -4],\n [-4, 4, -3, -4],\n [3, -3, -2, 3],\n [-2, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -342 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, 4, 1],\n [4, 1, -1, -2],\n [-4, 1, -1, -1],\n [1, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3973 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 2, 3],\n [-1, -1, -1, -3],\n [2, -1, 3, -2],\n [3, -3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 852 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, -4, -2],\n [1, 2, 0, 4],\n [-4, 0, 3, 1],\n [-2, 4, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 430 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, -2, -2],\n [4, 4, 1, 4],\n [0, -3, 4, 0],\n [1, -4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -497 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 2, 0],\n [1, -4, -1, -3],\n [2, 4, 1, 4],\n [-4, -3, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3572 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 0, 1],\n [0, -1, 0, 1],\n [0, 0, 0, 2],\n [1, 1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 482 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 3, 3, -4],\n [-1, 0, 1, 0],\n [2, -1, 2, 3],\n [4, 2, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1626 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -3, 3, 3],\n [-3, -1, 2, -3],\n [3, 2, 3, -2],\n [3, -3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1286 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 1, -3, 4],\n [-4, -4, 3, -4],\n [1, 3, -3, 4],\n [1, 0, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 863 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, 2, -3, 0],\n [2, 3, 0, 3],\n [-3, 0, 3, -2],\n [0, 3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 93 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -2, -1],\n [-1, -3, 2, 1],\n [1, 1, 1, 1],\n [1, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 345 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[4, 0, 2, 0],\n [4, -2, -1, 1],\n [3, 1, 0, 1],\n [-1, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 1],\n [4, 0, 4, 4],\n [-2, 3, -1, -2],\n [0, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -164 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 4, -4, -3],\n [4, -1, 4, 3],\n [0, 1, -2, -2],\n [3, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1564 | MATH |
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