messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[4, 1, -4, -4],\n [-4, 4, -1, 2],\n [3, 4, -2, -2],\n [3, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -21 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, 2, -4, -2],\n [2, -2, 4, 0],\n [-4, 4, 0, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -332 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, -1, -2],\n [0, 2, 0, -1],\n [-1, 0, -1, 0],\n [-2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -200 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 2, 0, 0],\n [2, 3, -2, 0],\n [0, -2, 0, -3],\n [0, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 2, -3],\n [-3, -2, 1, 2],\n [-1, 3, -2, 0],\n [4, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 284 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[4, 2, 2, -2],\n [2, 1, 4, 0],\n [2, 4, -2, -2],\n [-2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -558 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -4, 0],\n [2, 0, 1, -1],\n [-4, 1, -4, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1067 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-4, 2, -2, -4],\n [2, -1, 2, -2],\n [-2, 2, -2, 0],\n [-4, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -124 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, 2],\n [2, -1, -3, 0],\n [4, -4, -2, -1],\n [-2, -3, 3, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, 0, 3],\n [2, -2, -2, -1],\n [0, -2, -2, 0],\n [-4, -1, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 560 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 2, 2],\n [0, 4, -2, -2],\n [2, -2, -2, 0],\n [2, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 779 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 3, -4],\n [4, -4, -3, -1],\n [-1, -1, 3, 2],\n [1, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1221 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, 4, -1, 3],\n [1, 0, -2, 0],\n [-2, 0, 1, 2],\n [3, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 156 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[1, -1, -4, -2],\n [-1, 1, -4, -4],\n [-2, 3, 0, -4],\n [4, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -156 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 2, -4],\n [0, 1, 0, 2],\n [2, 0, -3, -1],\n [-4, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1118 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -3, -2],\n [0, 1, -2, -4],\n [-3, -2, 4, 0],\n [-2, -4, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11350 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -1, -2],\n [-1, -2, -1, 2],\n [-1, -1, 0, 1],\n [-2, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -16 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 2, 0],\n [2, 3, -2, -1],\n [2, -2, -1, 1],\n [0, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 343 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, 2, -2, -4],\n [-3, 2, -2, 2],\n [-3, -1, -1, 4],\n [-3, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -110 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 3, 0],\n [3, 0, -1, 1],\n [1, -2, 1, 3],\n [1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3876 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, 4],\n [2, -2, 2, 0],\n [0, 2, -3, 2],\n [4, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1446 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 4, -3, -2],\n [-2, 4, -2, 2],\n [4, 4, -1, 2],\n [-4, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -315 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -1, -1],\n [-4, -4, 2, 2],\n [-1, 2, 4, 0],\n [-1, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1157 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[0, -4, 2, -1],\n [-4, 4, -3, -1],\n [2, -3, -4, 1],\n [-1, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2322 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -1, -2],\n [0, 2, 2, 4],\n [-1, 2, -3, 2],\n [-2, 4, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 325 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, 0, -3],\n [-4, 0, 3, 4],\n [3, 2, 4, -3],\n [3, -4, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8366 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 0],\n [0, -2, 2, 0],\n [0, 2, -3, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 422 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, 2, 2, 0],\n [2, 3, 1, 0],\n [2, 1, -2, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 302 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, -4, 4, 1],\n [-4, 2, 2, -2],\n [4, 2, 4, 0],\n [1, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -58 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, 1, -2],\n [-3, 2, -3, -2],\n [0, 3, -3, -2],\n [1, 3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -434 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 3],\n [0, -1, 2, 1],\n [1, 2, -1, 2],\n [3, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4467 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, -2, -3],\n [0, 4, 2, 2],\n [0, -2, -3, 1],\n [2, -4, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2358 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -4, -3],\n [-4, 2, -1, 2],\n [-2, -2, -3, -4],\n [2, -4, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 990 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, -2, 3],\n [1, -1, 2, -1],\n [-2, 2, -4, -2],\n [3, -1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3119 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, -4, 3],\n [-4, 0, 2, -3],\n [0, -3, 2, 2],\n [2, -2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 113 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 3, 0],\n [2, 0, 2, -2],\n [0, -1, 4, 1],\n [-1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1280 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, -4, -1],\n [4, 2, -2, 0],\n [-3, 4, 0, -3],\n [-2, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -54 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, 4, 3],\n [-1, 1, 2, -2],\n [-2, -4, -4, 1],\n [3, 1, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11656 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-1, 1, -2, 4],\n [-1, 2, 2, 0],\n [-2, -3, -3, -3],\n [-1, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -68 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, -2, -2],\n [0, 0, 2, -4],\n [-2, 2, -3, 2],\n [-2, -4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 95 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 4, 4],\n [0, -2, 4, -2],\n [4, -4, -2, 4],\n [-1, -4, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1003 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -3, -2, 0],\n [-3, 3, -1, 4],\n [-2, -1, -3, 0],\n [0, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6235 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[0, -3, -3, 1],\n [-3, -3, 2, -1],\n [-3, 2, 2, -3],\n [2, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -98 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -1, 3, 1],\n [-2, -3, -3, -3],\n [-2, -2, 1, 4],\n [-1, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1578 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 2, 2],\n [-2, 4, -1, 2],\n [2, -1, 2, -2],\n [2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 171 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 1, 4],\n [-3, -1, 0, -3],\n [4, 1, 2, 4],\n [-1, -1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4436 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -1, 2],\n [0, -3, 1, 1],\n [-1, 1, 4, 2],\n [2, 1, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 635 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, -2, 0],\n [1, -4, 0, -2],\n [-2, 0, 1, -1],\n [0, -2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2642 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, -1, -2],\n [1, 3, 0, 1],\n [-1, 0, -4, 2],\n [-2, 1, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 935 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -3, -1, 0],\n [-3, 1, -1, 4],\n [1, 3, 0, 2],\n [-1, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1079 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, -1, 4],\n [-2, 4, -4, -3],\n [1, -4, 4, -3],\n [-3, -2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1450 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, 0, 0, 2],\n [0, -3, -4, -3],\n [0, -4, -3, 2],\n [2, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1637 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 0, -2],\n [-3, -2, -2, -1],\n [-1, 0, -2, -3],\n [-2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 579 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, 1, 1],\n [-4, -2, -2, -3],\n [-4, -2, 3, 2],\n [-4, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -71 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, 1, 4],\n [3, 0, 0, 0],\n [1, 0, 2, 1],\n [4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6174 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, -1, 0],\n [1, -4, 3, -1],\n [-1, 3, 3, -1],\n [0, -1, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 761 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -2],\n [2, -4, -2, 0],\n [0, -2, 3, -4],\n [-2, 0, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1547 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -3, 3, 1],\n [1, 4, 3, 3],\n [-1, -3, -1, 0],\n [0, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1932 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[1, 0, -2, -2],\n [0, 1, -2, 2],\n [-2, -2, 4, 0],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 197 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, -2, -1],\n [4, 1, -4, 0],\n [-1, -2, -4, 3],\n [1, -1, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3446 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, -1, 0],\n [-3, 2, -1, 1],\n [-1, -1, 3, 1],\n [0, 1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 90 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 0, -1],\n [0, 1, 1, 0],\n [0, 1, -4, 0],\n [-1, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 204 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 2, 0],\n [0, 2, -2, -1],\n [2, -2, 4, 0],\n [0, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2982 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 0, 2],\n [3, 0, 1, 3],\n [0, 1, -2, 0],\n [2, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5204 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, 4, -2],\n [-4, -3, 2, 3],\n [0, -4, 1, -3],\n [-2, 1, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 400 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, 4, -1],\n [-4, -1, -2, 2],\n [-2, 3, 2, -3],\n [2, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1174 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -2, 0],\n [2, -1, 1, 4],\n [-2, 1, 1, -2],\n [0, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2601 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 0, 0],\n [-3, 2, 1, 0],\n [0, 1, -3, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 618 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -2, -2, -2],\n [-2, -4, 4, 3],\n [-2, 4, 2, 0],\n [-2, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3722 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, -2, 3],\n [3, -1, 3, -3],\n [2, -4, -2, 0],\n [-3, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1250 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[2, -1, 3, 4],\n [-3, 1, 0, 3],\n [3, -4, -4, 1],\n [3, 4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 51 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, 3, 3],\n [-4, 0, -1, -3],\n [2, 0, -2, 3],\n [0, 0, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1406 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, 0, -1],\n [-3, -1, 1, 0],\n [0, 1, 3, -1],\n [-1, 0, -1, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -53 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, -2, 0],\n [-1, -4, 3, -1],\n [-2, 3, 1, 4],\n [1, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 916 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-2, 1, 0, -2],\n [1, 3, 0, 4],\n [0, 0, -1, 4],\n [-2, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -469 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -2, 4],\n [-2, 3, 2, -3],\n [-2, 2, 4, 2],\n [4, -3, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 172 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, 0, 0, 1],\n [0, 3, 0, 0],\n [0, 0, 4, -4],\n [1, 0, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, 3, -2, -1],\n [-1, -4, -3, 0],\n [1, -4, 3, 3],\n [-1, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -179 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, 0, -2, 0],\n [0, 1, -4, -2],\n [-2, -4, 4, 0],\n [0, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 648 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[3, -2, 0, -2],\n [-2, 0, -4, 2],\n [0, -4, -1, -1],\n [-2, 2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 549 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -3, 2, 3],\n [-4, 0, 2, -3],\n [3, 4, 3, -1],\n [1, -1, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 540 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, -2, 1],\n [-4, -4, 0, 0],\n [4, 1, -2, -3],\n [2, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 484 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-1, 3, 4, 4],\n [-4, -1, 0, -2],\n [2, 1, 2, 3],\n [2, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -3, 0, 4],\n [-4, -2, 2, -4],\n [1, -2, 1, 3],\n [1, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -224 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-3, -1, 2, -1],\n [4, -2, -1, -1],\n [-4, 0, -4, 4],\n [-3, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -144 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[4, 0, -1, -2],\n [1, -2, 0, 4],\n [0, 2, -3, -3],\n [-3, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -14 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, -2, -4],\n [2, 0, 3, -1],\n [-3, 4, 2, 2],\n [4, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1010 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 0, -1],\n [0, 1, 0, 0],\n [0, 0, -1, 0],\n [-1, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 124 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0, 1],\n [2, 2, 0, 2],\n [0, 0, -1, 0],\n [1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 647 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-3, 1, 1, -1],\n [-4, -1, -2, -4],\n [4, 0, 2, 1],\n [-2, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -77 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -1, -2],\n [2, 1, -4, 1],\n [4, 0, 0, 3],\n [-3, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1034 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, -1],\n [-1, -4, 1, 4],\n [1, 1, 0, 3],\n [-1, 4, 3, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 135 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -3, -1],\n [2, -1, -2, -4],\n [0, -4, -3, -1],\n [4, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2901 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2, 0],\n [1, 1, 3, -2],\n [-2, 3, -3, -2],\n [0, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -422 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 0, 0],\n [-2, -2, 2, 0],\n [0, 2, -1, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 576 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-4, -1, -2, 1],\n [-1, -2, -1, 0],\n [-2, -1, 4, 0],\n [1, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 446 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 1, 2],\n [-1, 2, 2, -1],\n [0, 4, 0, 3],\n [4, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 192 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -2],\n [0, -3, 0, 1],\n [-2, 0, -2, 2],\n [-2, 1, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3006 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -4, 3],\n [0, 4, 2, -3],\n [-3, 4, -3, 0],\n [-4, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -95 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -1, 0],\n [0, -4, -1, 2],\n [-1, -1, 0, -3],\n [0, 2, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 787 | MATH |
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