messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"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, 1, 0, 4],\n [2, 0, -2, -2],\n [0, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6598 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, 0],\n [0, 4, -2, 1],\n [-2, -2, 4, 2],\n [0, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 769 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, -4, 2, -1],\n [3, -4, 2, -1],\n [-3, 2, -2, -2],\n [4, 0, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 135 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[2, 1, 0, 3],\n [1, 3, -2, -2],\n [0, -2, 0, 0],\n [3, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -6 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -1, 2],\n [-2, 0, -2, 2],\n [-1, -2, -2, -2],\n [2, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8282 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, -1, 3],\n [1, -4, 1, -3],\n [3, 1, 0, -2],\n [-3, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 388 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, 2, -1],\n [-2, -2, -2, 0],\n [2, -2, 3, 2],\n [-1, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-4, -2, 2, -1],\n [-2, 2, 4, 3],\n [2, 4, -1, 2],\n [-1, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1567 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, 4, 2],\n [-3, -2, -4, -3],\n [4, -2, 0, -2],\n [3, 1, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9661 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-3, -2, -3, -2],\n [3, 1, 0, 4],\n [0, 1, -1, 4],\n [-2, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -87 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -4, -2],\n [0, 4, 2, 2],\n [-4, 2, 2, 2],\n [-2, 2, 2, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1168 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 0, 0],\n [2, -3, 1, 0],\n [0, 1, 1, 0],\n [0, 0, 0, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-4, 1, 2, 2],\n [1, -3, 2, -4],\n [2, 2, 4, 3],\n [2, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -949 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, -1, -2, 4],\n [-3, -1, 2, 4],\n [-1, 1, -3, -3],\n [-3, 0, 3, 0]]?\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[[2, -1, -2, -2],\n [-1, -1, 2, -4],\n [-2, 2, 3, -1],\n [-2, -4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -942 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, -2, -3],\n [-4, -4, 3, -1],\n [-4, 3, 4, -3],\n [3, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1152 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 4, 4, 3],\n [-1, 0, -2, -3],\n [1, 3, -4, -3],\n [4, 2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8352 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -4, 4, -4],\n [-4, -1, -4, -3],\n [1, 0, 1, -2],\n [-4, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9018 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 0, 2],\n [1, -2, 0, -1],\n [0, 0, -2, 0],\n [2, -1, 0, -3]]\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[[1, 0, 0, -1],\n [0, -4, 1, 2],\n [0, 1, 0, 0],\n [-1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 306 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, -1, 3],\n [2, 3, 2, -3],\n [2, -2, -3, -2],\n [-1, 4, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1978 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 0, -3],\n [0, 4, 0, 2],\n [0, 0, 4, 0],\n [-3, 2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 512 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, 1, -1],\n [2, -1, 0, 0],\n [1, 0, -4, 2],\n [-1, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 121 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, 0, 0, 0],\n [0, -3, 1, 2],\n [0, 1, -1, 2],\n [0, 2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 100 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -1, 2],\n [-3, -3, 0, -4],\n [4, 2, -4, 2],\n [-1, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 988 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 4, -1],\n [2, -4, 4, -4],\n [-3, -4, 2, 4],\n [0, 3, 1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -142 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 4, 2],\n [1, 1, -1, -1],\n [4, -1, -4, 1],\n [2, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4477 | 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, 0, 4],\n [-3, -4, -1, 0],\n [0, 2, 1, 2],\n [-1, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3766 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 0, -3, -2],\n [0, 0, 3, 1],\n [-3, 3, -1, 0],\n [-2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 423 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -4],\n [-2, -2, 4, 1],\n [0, 4, -4, 3],\n [-4, 1, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 335 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-1, -3, -1, 2],\n [-3, 2, 1, 0],\n [-1, 1, 1, -3],\n [2, 0, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -35 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -4, 4],\n [0, 2, 0, 4],\n [-4, 0, 2, -2],\n [4, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 690 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -4, -2],\n [3, 3, -4, 3],\n [-2, 1, 0, -2],\n [1, 1, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1088 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, -3, 0],\n [-3, 2, 1, -1],\n [1, 3, 0, -1],\n [1, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -70 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 3, -2, -2],\n [3, 3, 2, 0],\n [-2, 2, -4, 1],\n [-2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -14 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, 0, -2, 0],\n [0, -1, -4, -3],\n [-2, -4, 1, 0],\n [0, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 564 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 1, 0],\n [-3, 1, 1, 0],\n [2, -3, 3, 2],\n [-2, -4, 4, 4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 3, -1],\n [0, -1, -1, 4],\n [-3, 3, 4, -2],\n [2, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 78 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, -1, 0, 0],\n [-1, 3, 2, 3],\n [0, 2, 3, -2],\n [0, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -63 | 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, -1, 0],\n [0, 0, -4, 3],\n [3, -3, -3, 1],\n [-3, -3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3564 | 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, 0],\n [0, -4, 0, 1],\n [0, 0, -1, 0],\n [0, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 132 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 2, 2],\n [2, 2, -1, 0],\n [2, -1, -1, 1],\n [2, 0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1846 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, 3, 1],\n [-4, -4, 1, 4],\n [0, -2, 1, -3],\n [0, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 86 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 3, 1],\n [0, -4, -3, -2],\n [3, -3, -3, 0],\n [1, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -809 | 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, 4, 3],\n [3, -3, 3, -3],\n [2, 3, -3, 4],\n [-4, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1830 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 3, -4],\n [0, 1, -2, 0],\n [3, -2, 4, 0],\n [-4, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 268 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0, 0],\n [2, -2, -2, 2],\n [0, -2, -2, -4],\n [0, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -384 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 0, 0],\n [-3, -2, 1, -2],\n [0, 1, 2, 3],\n [0, -2, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -180 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, -4, 0],\n [2, -1, -3, 0],\n [-4, -3, -1, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6645 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, -1, -4],\n [4, 4, 3, -3],\n [4, -3, -3, 4],\n [-3, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 655 | 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, 0, 0],\n [4, 0, 1, -2],\n [0, 1, -1, -2],\n [0, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5810 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-3, -1, 1, 0],\n [1, -1, -4, 3],\n [-1, 4, 3, 0],\n [4, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 122 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -4, 0],\n [-4, -3, 1, 1],\n [-3, 2, 3, -4],\n [-4, -4, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -95 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 2, 2],\n [3, 2, 0, 4],\n [-4, 4, -3, 4],\n [4, 2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5417 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, -1, -2],\n [3, 1, -1, 4],\n [4, 0, -1, 4],\n [0, -3, 3, -4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 537 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 1, -2, 3],\n [-3, -3, 3, -2],\n [-1, -2, -2, 2],\n [3, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 274 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 0, 0],\n [-1, -3, 1, -3],\n [0, 1, 1, 1],\n [0, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 423 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 3, 3],\n [0, 0, -1, 2],\n [-3, -1, -3, 3],\n [-4, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -428 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, -2, 0],\n [-3, -1, 3, 0],\n [-2, 3, 4, -1],\n [0, 0, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1094 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, 3, 2],\n [-1, 3, 4, -1],\n [2, -2, 2, 3],\n [3, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4542 | 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, 2, -1],\n [2, 1, -1, 1],\n [2, -1, -2, -2],\n [-1, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 555 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 0, 0],\n [0, 0, 2, -4],\n [0, 2, 2, 0],\n [0, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -323 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [2, 1, -2, 0],\n [0, -2, -4, 1],\n [0, 0, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1646 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -4, 2],\n [-2, 2, -2, -1],\n [-4, -2, 4, 4],\n [2, -1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1770 | 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, 0, 1],\n [-2, 2, 3, 0],\n [-3, -4, -3, 4],\n [-3, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1387 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 4, -3, 0],\n [2, 3, 4, 4],\n [3, 0, 4, -1],\n [4, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 17122 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 1, -2],\n [-2, -4, 0, 0],\n [1, 0, 1, -4],\n [-2, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 863 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[4, 3, 2, 3],\n [-3, 3, -3, 1],\n [-2, 3, -3, 4],\n [-2, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -78 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-1, 2, 2, -2],\n [2, 4, 0, 1],\n [2, 0, -3, -2],\n [-2, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 325 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 3, -3, -2],\n [2, 1, -4, 2],\n [1, -4, 2, 4],\n [2, 3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1253 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, 1],\n [-3, 4, -4, -2],\n [3, 4, 2, 1],\n [2, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 40 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 1, 1, 2],\n [1, 0, -4, 0],\n [0, 2, -4, 0],\n [2, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2907 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, 2, -2],\n [3, -2, -3, -3],\n [2, -3, -1, -4],\n [-2, -3, -4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 25284 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -4, -2],\n [-3, 2, 2, -3],\n [-4, 2, -4, 0],\n [-2, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1704 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, 3, 0, -1],\n [1, 3, -2, 4],\n [-2, 1, -1, -4],\n [-2, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -191 | 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, -3, 2],\n [3, -1, -4, 4],\n [3, -3, 0, 3],\n [4, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2442 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 4, 2],\n [-3, 0, 4, -2],\n [1, -1, 4, 2],\n [-3, -1, 1, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10 | 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, -3, 1, 1],\n [0, 1, 1, 4],\n [0, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 733 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -4, -4, 2],\n [2, -1, 2, -1],\n [0, 0, 0, 3],\n [4, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -288 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, -1, 0],\n [2, 1, 2, 0],\n [-1, 2, -4, 0],\n [0, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2572 | 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, 3, 0],\n [-1, -3, -2, 0],\n [3, -2, 3, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 546 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, 1, 2],\n [-4, 3, 4, 4],\n [3, 4, 0, 2],\n [-2, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 862 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 2, -1],\n [4, -1, 0, 2],\n [-2, -2, -1, 4],\n [-3, -2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 470 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-4, 1, 0, -4],\n [1, 0, 2, 2],\n [0, 2, -4, -1],\n [-4, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -48 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 0, -1, 1],\n [0, 0, 3, -2],\n [-3, 3, 0, 2],\n [-1, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -51 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 3, 0, 1],\n [3, -3, 0, 0],\n [0, 0, 2, -3],\n [1, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1154 | 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 [-4, 1, -1, 0],\n [-1, 1, 2, -2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 254 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 1, -2, -1],\n [1, 1, 2, 0],\n [-2, 2, 0, 2],\n [-1, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1320 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 2],\n [0, -3, 0, -4],\n [0, 0, 1, -4],\n [2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -722 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -4, 4, -1],\n [-1, -1, -3, -1],\n [0, 1, -4, -1],\n [-4, -4, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1308 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-3, -3, 3, 4],\n [-3, -1, -2, 3],\n [-2, -1, 1, 2],\n [-3, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 134 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[3, 2, 2, 0],\n [2, 3, 0, 0],\n [2, 0, -2, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -104 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, 0],\n [0, 2, 3, 0],\n [-2, 3, 0, 0],\n [0, 0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 51 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, 1, 3],\n [-3, -4, -3, 1],\n [-2, 3, -1, -4],\n [2, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1451 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, 2, 2],\n [-3, -1, -2, -2],\n [-2, 0, -4, -2],\n [-3, 4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 416 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 1, -1],\n [-2, 4, 0, 0],\n [2, -3, 0, 2],\n [-4, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1576 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[4, -2, -2, -4],\n [-2, 4, 0, 1],\n [-2, 0, -4, -1],\n [-4, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -47 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, 0],\n [2, -3, 2, 0],\n [0, 2, 0, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -147 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, 1, 0],\n [-3, 2, -3, -2],\n [1, -3, 2, -1],\n [0, -2, -1, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -13 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, -2, 0],\n [-1, -4, 0, -2],\n [0, 1, -4, 4],\n [-2, 3, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 848 | MATH |
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