messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -3, -2, -1],\n [-2, -2, 2, 2],\n [4, 0, -3, -1],\n [2, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 3, -2],\n [-1, 4, -1, 4],\n [1, -1, 2, -2],\n [-2, -2, -2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -56 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 2, 0, 0],\n [2, -3, 0, -2],\n [0, 0, 2, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 144 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, -3, 0],\n [-1, 4, 3, -4],\n [3, -4, 3, 1],\n [-3, -2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7491 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -2, 0],\n [2, 1, 2, 2],\n [-2, 2, 3, -1],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1222 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, -2, 0],\n [3, -3, 0, -3],\n [-2, 0, 1, -3],\n [0, -3, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -354 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, 0, 3],\n [-1, 0, -4, 1],\n [0, -4, 2, 2],\n [3, 1, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1240 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 0, 0],\n [0, 2, -1, 1],\n [0, -1, 4, -4],\n [0, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1157 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -3, -4],\n [-3, -1, 2, 0],\n [-3, 2, -2, 3],\n [-4, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10846 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 2, 0],\n [0, -3, -4, 0],\n [2, -4, -1, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2167 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, -2, 2, -4],\n [1, -4, 1, -4],\n [-4, -3, 0, -4],\n [-4, 3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -443 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[2, -4, -4, 1],\n [-1, -3, 0, -3],\n [-2, -2, -4, -4],\n [2, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 589 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[0, -3, -1, 0],\n [-3, -3, 0, 2],\n [-1, 0, -2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -162 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -3, 0],\n [-2, 0, 3, -4],\n [2, -3, -1, -1],\n [-3, -1, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 611 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, 3, 2, -2],\n [2, 3, -2, 2],\n [-4, 3, -4, -3],\n [-2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 34 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-4, 0, 2, 1],\n [0, -4, -2, -2],\n [2, -2, 2, -4],\n [1, -2, -4, 0]]\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[[4, -1, 1, -2],\n [0, 2, -3, 0],\n [1, 3, 2, -2],\n [-1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 358 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, -3, -4],\n [-4, -3, -4, 2],\n [3, -3, 4, -3],\n [-3, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2560 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 1, -2],\n [3, -4, 4, -4],\n [1, 3, -3, 1],\n [3, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 936 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 1, -3],\n [-1, 4, 1, 2],\n [-2, 1, 0, -3],\n [-1, 3, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2256 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, -2, 3],\n [-3, -1, -4, 0],\n [3, -4, -1, -2],\n [0, 2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1134 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 1, 0],\n [-2, -4, 0, 2],\n [1, 0, -2, 1],\n [0, 2, 1, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -7 | 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, -2, 0],\n [1, 4, 2, -1],\n [-2, 2, -2, 1],\n [0, -1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2065 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, -2, 1],\n [2, 1, -2, 1],\n [-2, -2, -3, -2],\n [1, 1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 465 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, -4, -4],\n [-3, 2, 4, 1],\n [0, -4, -4, -2],\n [3, -4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 740 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, -1, 2],\n [1, 2, -4, 0],\n [2, -2, 0, -4],\n [-2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2026 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -4, 2, 2],\n [-4, -4, 0, 0],\n [2, 0, 0, 0],\n [2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4693 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 1, 0],\n [1, -2, -1, -1],\n [-2, 2, 3, 3],\n [1, -1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1302 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, 0],\n [-2, -2, 2, -2],\n [0, 2, 1, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 468 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -1, 0, -1],\n [3, -3, -2, 0],\n [-1, -2, -1, 1],\n [-1, 4, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1514 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, -2, -2, 4],\n [3, 1, 0, 1],\n [-3, 1, -2, 4],\n [4, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -50 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-2, -1, -1, -4],\n [1, -4, -2, 0],\n [-2, 3, 3, 1],\n [-4, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 437 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0, 0],\n [-2, -1, -2, -4],\n [0, -2, -3, 0],\n [0, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7588 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 3, 0],\n [0, -3, 0, 2],\n [3, 0, 3, 1],\n [0, 2, 1, -1]], determine the value at position (3, 3).\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^3 where A is:\n[[0, -4, -2, 2],\n [-2, 2, 3, 2],\n [-1, 1, 0, 3],\n [2, -3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -157 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, -3, 2, 4],\n [2, 2, -2, 1],\n [0, -4, -1, -2],\n [-3, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -108 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[3, -4, 0, -2],\n [-4, -4, 0, 2],\n [0, 0, 1, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -54 | 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, 0, 2],\n [-1, 1, 0, 0],\n [0, 0, 2, -1],\n [2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 490 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, -4, -1],\n [-4, -1, 0, 2],\n [0, 3, -2, -4],\n [-4, -1, 4, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 244 | 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, 0, -2],\n [-3, 1, 0, 0],\n [0, 0, 0, 0],\n [-2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 560 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -2, -2],\n [-2, -3, 2, 1],\n [1, 0, 3, 2],\n [-4, 1, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 43 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, 3, 3],\n [-2, 4, 2, -2],\n [-4, -1, 0, -2],\n [-4, 2, 2, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -348 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, -3, -2],\n [-2, 3, 2, 3],\n [-3, 2, 4, 1],\n [-2, 3, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3280 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 1, 0],\n [4, 2, 1, 2],\n [0, 4, 2, 3],\n [-3, -4, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1253 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, -1, -4],\n [0, -3, -4, -1],\n [2, 3, -3, 1],\n [0, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 310 | 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, 0, -1],\n [-3, -2, -4, 3],\n [-1, 1, -1, -2],\n [3, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 294 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 4, -2],\n [-2, -2, 0, -2],\n [4, 0, -3, 2],\n [-2, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6075 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2, 3],\n [4, 0, 1, 1],\n [2, -4, 1, 1],\n [2, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 72 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 1, 3],\n [4, -4, 2, -3],\n [-4, -3, 1, -1],\n [1, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 860 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, 1, 0],\n [1, 2, -3, -4],\n [1, -3, 3, -4],\n [1, 4, -4, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -68 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -4, -1, 2],\n [0, 2, 3, 3],\n [-2, 3, -4, 1],\n [-2, 0, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 78 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 2],\n [-3, 3, 4, -2],\n [1, 4, 1, -4],\n [2, -1, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 130 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -4],\n [2, -2, 0, 0],\n [2, 0, -2, -2],\n [-4, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 352 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-4, -2, -1, 4],\n [-2, -1, 2, 4],\n [1, 2, 3, 1],\n [1, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | 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, 3, -3],\n [4, 1, -2, -3],\n [1, 1, -4, -4],\n [-4, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1374 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[0, -2, -1, 0],\n [-2, 3, 0, 0],\n [-1, 0, -2, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -42 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 3, 0, 4],\n [3, -4, 4, 0],\n [-2, 0, 0, 4],\n [4, 0, -3, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -236 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -2],\n [-2, -1, -2, -2],\n [0, -2, 1, 0],\n [-2, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 667 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 1, 1],\n [-2, 4, 0, 2],\n [1, 0, -3, 2],\n [1, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 683 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 2, 0],\n [3, 4, 0, 0],\n [2, 0, 0, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 348 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, 2, -2],\n [2, 4, 0, 1],\n [2, 0, 4, 1],\n [-2, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 421 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 4, 2],\n [0, 4, 0, 0],\n [4, 0, -4, -1],\n [2, 0, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1150 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 1, -3],\n [3, 2, -4, -2],\n [0, 0, -2, 2],\n [4, 3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -753 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 3, 1, 4],\n [3, 1, -2, -2],\n [2, -1, 1, 3],\n [-2, -1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 719 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[3, 3, 2, -4],\n [-2, 3, 1, 4],\n [1, 0, 0, 0],\n [2, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -234 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -1, 3],\n [3, -2, 4, -3],\n [-3, 0, 3, -1],\n [2, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2362 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, -1, 2],\n [0, -1, 0, 1],\n [-1, 0, 1, 2],\n [2, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 500 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 2, 1],\n [-1, -3, -2, 2],\n [3, 4, 3, -4],\n [-1, -4, -1, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 653 | 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, -2, 1],\n [2, 4, -2, -3],\n [3, 1, -4, 0],\n [4, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 465 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, 1, 2],\n [0, -3, -4, -3],\n [-4, -2, 3, -1],\n [-3, 2, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -836 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[0, -3, 1, 0],\n [-3, 1, 0, -1],\n [1, 0, -2, -2],\n [0, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -15 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, -2, -4],\n [4, -3, 2, 0],\n [1, 4, -3, -3],\n [-2, -4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2709 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 1, -3],\n [2, 1, -2, -2],\n [3, -1, -2, 4],\n [-3, 2, -1, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 248 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 1, 0],\n [-1, -4, 0, 3],\n [4, -2, -3, 3],\n [2, 3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1203 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 2, -2],\n [-2, 3, -2, -2],\n [2, -2, 4, -3],\n [-2, -2, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 61 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, -3, -3],\n [-2, 4, -3, -1],\n [-4, -2, 4, -3],\n [0, -4, 1, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -182 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[2, -3, -4, -1],\n [-2, 1, 3, 2],\n [2, -1, 1, 2],\n [-4, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, 2, 1, 0],\n [-2, -3, 1, -3],\n [4, 0, 1, -2],\n [-3, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, 0, 0, 0],\n [-4, -3, 0, 0],\n [1, -4, -3, -2],\n [-3, -3, -3, 2]]?\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[[2, -1, -2, -1],\n [2, 0, -1, 2],\n [3, 1, -1, -3],\n [-1, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -72 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -3, 0],\n [-2, -2, 1, 4],\n [2, 4, -1, 4],\n [-4, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 27 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, -3, 0],\n [4, -4, -4, 2],\n [-2, -1, -3, 0],\n [-4, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12812 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[0, 0, 2, 0],\n [0, -1, 0, 3],\n [2, 0, 0, -2],\n [0, 3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -633 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, 2, -4],\n [-4, 4, 2, -1],\n [-2, -4, 1, 3],\n [-1, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 72 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -4, 0],\n [1, 1, -1, -4],\n [-4, 2, -2, -3],\n [4, 3, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 336 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 4, 3, 1],\n [-2, -1, -1, 4],\n [-4, 3, 2, 0],\n [0, 1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -249 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[3, -4, 3, 0],\n [-4, 2, 3, -1],\n [-3, -4, 3, -1],\n [-3, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -7 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[2, 3, 0, 0],\n [3, 1, -2, -3],\n [0, -2, 1, -1],\n [0, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -141 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-1, 0, 3, 2],\n [-1, -2, 0, -2],\n [3, -2, 3, -3],\n [2, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -10 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, 0],\n [-2, -4, 1, -2],\n [-4, -2, -4, 1],\n [3, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 228 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, 4],\n [1, 3, 4, 0],\n [4, 3, 2, -2],\n [1, -2, 3, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -47 | 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, 0, 0],\n [2, 3, 0, 0],\n [0, 0, -2, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 725 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 3, 2, 3],\n [-1, -4, -4, 2],\n [0, -1, 3, 1],\n [-3, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 593 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -2, -2, -2],\n [-2, -4, 1, 0],\n [-2, 1, 0, 0],\n [-2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2463 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 3, -1],\n [2, 1, 0, 1],\n [3, 0, -1, 2],\n [-1, 1, 2, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 54 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, 2, 3],\n [2, 3, -3, -3],\n [4, 3, -1, -4],\n [-3, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1043 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, 2, 1],\n [0, -4, -4, 3],\n [1, 4, 2, 2],\n [-3, 1, 3, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 33 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, -2, -1],\n [-2, 0, 2, -3],\n [-2, 2, -3, 0],\n [-1, -3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4312 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0, -1],\n [0, -2, 3, -1],\n [0, 3, 3, 0],\n [-1, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 252 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, 2, -2, 0],\n [2, 3, -2, 0],\n [-2, -2, -3, 2],\n [0, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 144 | MATH |
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