messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -1, -2],\n [-1, 2, 0, 0],\n [-1, 0, 4, 1],\n [-2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 368 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 0],\n [2, 4, -2, 2],\n [0, -2, 0, -2],\n [0, 2, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 362 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[3, 1, 1, 0],\n [1, -3, -2, 2],\n [1, -2, -3, -2],\n [0, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -76 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 1, 1],\n [-1, -2, -4, -1],\n [-1, -1, 2, 3],\n [-4, 1, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2017 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 2, 0],\n [0, 1, -2, 2],\n [2, -2, 1, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 371 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 3, -1, 0],\n [3, 2, -2, 3],\n [-3, 3, 2, 1],\n [-3, 0, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -279 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[4, -2, 3, 1],\n [1, -3, -2, -1],\n [1, -2, 0, 3],\n [-2, -3, 2, -2]]?\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^3 where A is:\n[[0, -3, 2, -2],\n [-3, 4, 2, 2],\n [2, 2, 3, 2],\n [-2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 572 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 0, 0],\n [2, -1, 0, 2],\n [0, 0, -3, 2],\n [0, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 655 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, -4, 4],\n [1, 4, -3, -1],\n [4, -1, -4, 3],\n [-3, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2515 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -4, 4, 4],\n [-3, 1, -3, 0],\n [0, -4, 4, -3],\n [-4, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1904 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -4, 0],\n [0, -1, 4, 0],\n [-4, 4, -1, 0],\n [0, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6442 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -4, -1],\n [-1, 2, 3, -3],\n [2, -1, 0, -4],\n [0, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 968 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 1, 2],\n [1, -3, 0, 1],\n [2, 0, 2, -1],\n [-3, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1080 | MATH |
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-1, 3, 4, -3],\n [-2, -1, -4, -4],\n [1, -4, 3, -3],\n [0, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -278 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, -2],\n [0, -1, 1, 0],\n [0, 1, 3, 0],\n [-2, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2045 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, -2, 4],\n [2, -4, 0, 0],\n [-2, 0, -1, 0],\n [4, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1147 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, -3, -4],\n [0, 4, -3, 3],\n [2, 0, -3, 1],\n [-2, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, -2, 0],\n [2, 4, -2, 0],\n [-2, -2, 4, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1544 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -3, 1],\n [1, -2, 1, -4],\n [-1, 0, 1, 4],\n [4, 4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1438 | 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, 0, 2],\n [0, 0, 2, 0],\n [0, 2, 1, 2],\n [2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 612 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 4, -2],\n [-2, -2, 1, -3],\n [1, 1, -3, -1],\n [2, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -111 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 3, 4],\n [-4, 0, -2, 3],\n [4, 1, -1, 0],\n [2, 2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 995 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 1, -2],\n [-1, -4, -2, 1],\n [1, -1, 4, -2],\n [-2, -2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 732 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 3, 1, -2],\n [3, -2, -2, 3],\n [1, -2, 0, 1],\n [-2, 3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 299 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[0, 4, -3, -1],\n [-4, 0, 4, -1],\n [0, -3, -1, -4],\n [2, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -266 | 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, 3],\n [-4, 2, -4, 1],\n [4, 2, -2, 1],\n [-1, -2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1996 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -4, 0, 1],\n [-2, 2, 4, 4],\n [-1, 3, 0, 2],\n [4, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7341 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -4, 2],\n [2, 1, 0, 0],\n [-4, 0, -1, 3],\n [2, 0, 3, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -244 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -3, 4, 2],\n [-3, -2, -1, -2],\n [4, -1, 0, 0],\n [2, -2, 0, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -62 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -4, -3],\n [-1, 4, -3, 1],\n [-1, 1, 4, 0],\n [3, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 643 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, -4, 4, -4],\n [-2, -1, 1, 0],\n [0, -1, -2, -3],\n [1, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -94 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, 0, 3],\n [4, 4, -2, -3],\n [-2, 2, 1, 4],\n [-3, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 294 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -4, -2],\n [2, 4, 3, -2],\n [-4, 3, -3, 0],\n [-2, -2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -228 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 3, 0, 0],\n [3, 2, -3, -1],\n [0, -3, 4, 2],\n [0, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1284 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 4, -3],\n [0, 4, 0, -1],\n [4, 0, 0, 0],\n [-3, -1, 0, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -648 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 2, -3],\n [2, -2, 1, 1],\n [1, 2, -1, -3],\n [1, -3, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1197 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[1, 0, 0, 1],\n [4, 4, 1, -4],\n [2, 4, -3, 2],\n [-1, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -504 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, -4, 0],\n [2, 2, 0, 4],\n [4, 4, 2, -4],\n [-2, 1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 922 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, -2, -2],\n [3, -3, -2, 2],\n [-2, -2, -3, 0],\n [-2, 2, 0, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -64 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, -2, 0, -2],\n [2, 2, 1, -2],\n [2, 3, 2, 2],\n [0, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 188 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 2, 0],\n [0, -2, 0, -2],\n [2, 0, 1, -2],\n [0, -2, -2, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -30 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 4, -4, 3],\n [0, 2, -1, 2],\n [-3, 2, 1, 1],\n [3, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 352 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, -3],\n [-2, 3, 0, 2],\n [0, 0, -2, 4],\n [-3, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2051 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 3, -1],\n [-2, 3, -3, 4],\n [3, -1, -4, 1],\n [4, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6979 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, -2, -1],\n [4, 3, 1, 2],\n [-2, -3, 4, 0],\n [-1, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1182 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 0, 0, 2],\n [0, 3, 0, 1],\n [0, 0, 2, 2],\n [2, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 84 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, -4, -3],\n [2, -2, -4, -2],\n [2, -1, -2, 2],\n [-4, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2638 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 0, 0],\n [-2, -2, -1, 3],\n [0, -1, -2, -1],\n [0, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4061 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, -4, 1, -2],\n [-4, 3, 0, -4],\n [1, 0, 1, -4],\n [-2, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 19 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 4, -1, -2],\n [4, 1, -4, 0],\n [-1, -4, 4, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -94 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, -1, -3],\n [2, 3, 2, -2],\n [-1, 2, 1, 0],\n [-3, -2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 712 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -1, -1],\n [-1, 0, -3, -3],\n [-1, -1, 1, 1],\n [-1, -1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2074 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 0, 1],\n [0, -4, 2, -2],\n [0, 2, -3, -3],\n [1, -2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -265 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -4, 3],\n [0, 0, 0, 1],\n [-4, 0, -4, 1],\n [3, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10836 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[4, -2, -2, -4],\n [-4, 2, 3, -3],\n [4, 3, 4, 4],\n [1, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 147 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 4, 0],\n [0, 0, 1, 0],\n [4, 1, -1, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3242 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 0, -2],\n [0, 2, 1, 0],\n [0, 1, -4, -2],\n [-2, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 365 | 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, 2, 2],\n [4, -3, 3, 1],\n [-3, -3, 1, 2],\n [-3, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1052 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 3, 0, -3],\n [-1, -3, 1, 4],\n [0, 4, -3, -3],\n [-4, 4, -2, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, -3, -2],\n [1, 2, -1, -2],\n [-1, 4, 3, 3],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3861 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 0, -4],\n [-1, -1, 0, -3],\n [0, 2, -2, 4],\n [-1, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2329 | 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, 3, 1],\n [3, 3, -3, 3],\n [-4, 3, -2, 2],\n [-1, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3167 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, 1, -1],\n [0, 2, -4, 1],\n [4, 0, 4, 0],\n [0, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1137 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 0, 2],\n [2, -2, 0, 2],\n [0, 0, -3, 3],\n [2, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 31 | MATH |
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[4, -2, 1, 0],\n [-2, 1, 2, 2],\n [1, 2, 3, -2],\n [0, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -254 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[3, 1, 0, 2],\n [1, -3, 1, 0],\n [0, 1, -4, 4],\n [2, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -40 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 2, 3],\n [-3, 2, 0, 1],\n [3, -4, -1, 4],\n [-2, -3, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 103 | 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, -4],\n [-3, -2, 4, 1],\n [4, -3, 4, 2],\n [-4, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 977 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, 1, 2],\n [-4, -3, 4, -3],\n [1, 4, 0, -3],\n [3, 3, -2, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 90 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -1, 0, 1],\n [-1, 4, 1, 3],\n [0, 1, -1, -2],\n [1, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2550 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 3, -2, 2],\n [3, 2, 0, 0],\n [-2, 0, -4, 2],\n [2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2170 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -3, -2, -2],\n [-3, 4, -2, -3],\n [-2, -2, 2, 0],\n [-2, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6000 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 0, -2],\n [2, -3, -1, 3],\n [0, -1, -3, 1],\n [-2, 3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 895 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, -4, -3],\n [1, -2, 0, -4],\n [2, 0, -3, -1],\n [3, -3, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -284 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[2, 1, 3, -4],\n [-3, 0, -2, -2],\n [-2, -2, 2, 2],\n [-2, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -67 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[0, 1, -2, 4],\n [-2, -2, 3, -2],\n [-4, -2, 4, -3],\n [0, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -200 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, -1, 3],\n [4, 2, 2, -4],\n [-3, 4, -4, 1],\n [-4, 2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2783 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[2, 4, 1, -3],\n [4, -1, -2, -2],\n [1, -2, -3, -2],\n [-3, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -821 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[1, 0, 3, -1],\n [0, 4, 0, -1],\n [3, 0, 3, 0],\n [-1, -1, 0, -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[[0, -3, 0, 4],\n [2, -2, 0, -1],\n [1, 3, 3, -4],\n [-4, 1, 1, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, -2, 0],\n [3, -2, 1, 0],\n [-4, 2, -4, 3],\n [3, -2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2794 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, -3, -4],\n [-1, 3, -3, 4],\n [2, -3, 1, -3],\n [2, 2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 181 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, 0, 2],\n [-2, -2, -2, 0],\n [0, -2, -1, 1],\n [2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -190 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 0, 1],\n [2, -4, -2, -1],\n [2, -3, -4, 1],\n [-2, 2, 4, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 92 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -1, -2, -1],\n [2, 3, -3, -1],\n [3, -4, 4, 3],\n [4, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -214 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, -1, -2],\n [1, 3, -2, 4],\n [-1, -2, 2, 2],\n [-2, 4, 2, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -45 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, -3, -4],\n [2, 2, 4, -2],\n [2, 3, 1, 4],\n [-4, 4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2386 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, -4, 0],\n [0, 4, 0, 0],\n [-1, -3, 3, -1],\n [-2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 343 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -3, 1],\n [-4, -3, -2, -3],\n [3, -3, -4, -3],\n [0, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1633 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 0, -2],\n [-3, -3, -2, -3],\n [-4, 4, 1, 1],\n [1, -4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1349 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, 0, -3],\n [4, 4, 0, -4],\n [-1, -4, -4, 4],\n [0, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -654 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0, 2],\n [2, 0, 4, -2],\n [-4, 4, -1, 2],\n [3, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 29 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 0, 3],\n [0, 3, -3, 3],\n [1, -4, -2, -3],\n [-2, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 418 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 0, -3],\n [1, 0, 2, -4],\n [-4, -2, 0, -1],\n [-1, 4, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 302 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 1, 2],\n [3, -4, -3, -1],\n [4, 0, 1, -4],\n [-3, -3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -462 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -3, -4],\n [-4, 0, 4, 4],\n [3, 0, 3, 0],\n [3, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1010 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -2, 2],\n [2, 2, 0, 2],\n [-2, 0, -3, -2],\n [2, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2366 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-3, 0, 2, 3],\n [-2, -1, -1, -1],\n [-2, -3, 3, -2],\n [2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -50 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 2, 0],\n [1, -3, -1, -2],\n [2, -1, 1, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 154 | MATH |
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