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 all entries of the result:\nA =\n[[0, 0, 2, -1],\n [0, 4, -4, 3],\n [4, -4, -2, 4],\n [1, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 98 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 2, 0],\n [2, -2, 0, 0],\n [2, 0, 2, -1],\n [0, 0, -1, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 3, -2, 0],\n [-1, -2, -2, 3],\n [4, -3, -1, -2],\n [-2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -282 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, -2, 0],\n [-4, -1, -4, -1],\n [-2, -4, 3, 2],\n [0, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1093 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-1, 4, 3, -4],\n [-3, 1, 2, 3],\n [-2, 3, 3, 1],\n [-1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -236 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, -2, 1],\n [-2, 1, -1, 4],\n [2, 0, 4, -2],\n [1, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 650 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, 0, 1, 4],\n [0, -4, 0, -1],\n [1, 0, 2, 3],\n [4, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 66 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, 0, 0, -2],\n [2, 1, 0, -4],\n [-4, 4, -2, -3],\n [-4, 3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -20 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, 4, -4],\n [2, 0, 3, -2],\n [-3, -4, -3, 3],\n [2, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, -4, -3],\n [3, 2, -1, 2],\n [3, -4, 0, -1],\n [4, -1, -3, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 1, 2],\n [2, 3, 0, -4],\n [1, 0, 3, 2],\n [2, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10798 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 2, -2],\n [0, 4, 0, -2],\n [2, 0, 1, 4],\n [-2, -2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -176 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, -4, 3],\n [4, 4, 4, -4],\n [1, -3, 1, 3],\n [-1, -3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2109 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[1, 4, -2, 2],\n [4, 4, 1, -1],\n [-2, 1, 3, -2],\n [2, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 95 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 2, -3],\n [-2, 1, 3, 3],\n [2, 3, 2, 3],\n [-3, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 493 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-4, -2, -4, -1],\n [-2, 3, 2, 1],\n [-4, 2, 4, 2],\n [-1, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1490 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, -2, 1],\n [3, -3, 2, 1],\n [-2, 2, 2, 0],\n [1, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1207 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -2, -1],\n [2, -4, 4, 2],\n [-2, 4, -1, 2],\n [-1, 2, 2, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 196 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, 4, 0],\n [2, -1, -1, -1],\n [2, 0, 0, 2],\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"
}
] | 2389 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, 2, 4, 0],\n [2, 0, 2, 2],\n [4, 2, -3, 2],\n [0, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -12 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -1, 2],\n [2, -1, -2, -3],\n [-1, -2, -2, -3],\n [2, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6582 | 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, 2],\n [2, 4, 3, 0],\n [0, 3, -2, 1],\n [2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1009 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, 2, 0],\n [2, 2, -3, 0],\n [2, -3, 2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 274 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -1, -2, -3],\n [-1, -2, -2, 2],\n [-2, -2, -1, 0],\n [-3, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 758 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 2],\n [-2, 2, 0, 0],\n [0, 0, 0, 0],\n [2, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -69 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -2, 4],\n [0, 1, -1, 0],\n [-2, -1, 2, 1],\n [4, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 594 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 3, 1],\n [1, 2, 1, 2],\n [-4, -2, 1, 4],\n [-1, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 410 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 0, -1],\n [-2, 1, -1, 3],\n [0, -1, 0, -2],\n [-1, 3, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 921 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-1, -2, 0, 1],\n [-2, 2, -2, -1],\n [0, -2, -3, 0],\n [1, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-2, 1, 3, 1],\n [0, 2, 4, 3],\n [2, -4, -1, 3],\n [0, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -160 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -2, 1],\n [3, 3, 0, 3],\n [4, 0, -4, 3],\n [-3, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 832 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, 1, 1],\n [0, 2, 3, -1],\n [0, -2, -4, 2],\n [0, -1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 828 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 1, 2, 2],\n [1, 4, 1, 2],\n [0, -4, 2, 2],\n [-3, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3696 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[4, 1, 2, 1],\n [1, 1, 1, -2],\n [2, 1, 1, -4],\n [1, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 392 | MATH |
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-2, 3, 3, -2],\n [-4, 1, -1, 0],\n [-1, 4, -2, -1],\n [2, 1, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -176 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -1, -2],\n [-2, 1, 0, -2],\n [-1, 0, 4, -2],\n [-2, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8114 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -2],\n [0, -4, -3, -3],\n [-2, -3, 3, 3],\n [-2, -3, 3, 4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 744 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, -2],\n [0, 4, 0, 4],\n [0, 0, 4, 0],\n [-2, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 736 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[3, 2, -3, -4],\n [1, 2, -3, 4],\n [3, 2, 2, -4],\n [4, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 241 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[4, 0, -1, -2],\n [0, 2, -1, 0],\n [-1, -1, 0, 0],\n [-2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 129 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-3, 4, -2, -3],\n [3, 0, 4, -3],\n [-3, 1, 1, 1],\n [4, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 108 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-3, 0, 2, 2],\n [0, -3, 2, 2],\n [2, 2, 2, -3],\n [2, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 400 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, -3, 0, -2],\n [-3, 1, 0, -2],\n [0, 0, 4, -2],\n [-2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -240 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 1, -1, -3],\n [-4, 0, -2, 3],\n [2, -4, -2, -3],\n [0, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -710 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 4, 4, 0],\n [-1, 3, 4, 4],\n [-2, 3, 0, 4],\n [2, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 777 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 1, 1, 2],\n [-3, -4, 3, 2],\n [1, 0, 3, -3],\n [4, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5614 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[4, 0, -2, 0],\n [0, 0, -1, 0],\n [-2, -1, -2, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -9 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, 2, 0],\n [1, -2, -2, 2],\n [2, -2, 0, -4],\n [0, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1010 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, -2, 0],\n [-4, 3, -4, -2],\n [-2, 1, 2, -1],\n [-2, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -95 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 2],\n [0, 3, 0, 0],\n [0, 0, -3, 2],\n [2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 950 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, -1, -2],\n [-2, 2, -4, -4],\n [0, 3, -3, 3],\n [4, -1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -232 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, -2, -2],\n [0, -2, -2, 0],\n [-2, -2, -3, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -418 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 4, 1],\n [3, -2, -4, -2],\n [4, -1, -4, 3],\n [-3, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1615 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 2, -4],\n [2, 2, -3, -2],\n [-4, -4, 3, -2],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2264 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, -2, 3],\n [1, -1, 0, 3],\n [-3, -4, -2, 2],\n [-3, 3, 1, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -37 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 4, 1, -3],\n [2, 1, -4, 0],\n [2, -3, 1, -4],\n [2, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -26 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-2, 3, -2, 2],\n [3, -1, -1, 2],\n [-2, -1, -2, 4],\n [2, 2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 823 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -3, -1, 3],\n [2, -4, 1, 4],\n [1, 2, -3, 1],\n [4, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3640 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -1, -3, 1],\n [-3, 4, 0, -4],\n [4, 0, -2, 3],\n [-1, 3, -2, -2]]\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 all entries of the result:\nA =\n[[1, 1, -2, 0],\n [1, 2, 0, 0],\n [-2, 0, -4, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, -2, 0, 0],\n [-2, -3, -1, 3],\n [0, -1, 4, 2],\n [0, 3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 78 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, -2],\n [0, 0, 2, -1],\n [0, 2, 3, -2],\n [-2, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5415 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[3, 3, -4, 0],\n [2, 1, 2, 0],\n [-1, -3, -2, -1],\n [-3, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -104 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -1, 4, 2],\n [-1, 4, 0, 0],\n [4, 0, -3, -3],\n [2, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2570 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-2, -2, 1, 0],\n [-2, 2, 4, 0],\n [1, 4, 3, -1],\n [0, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -9 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 2, 0],\n [2, 2, 1, 0],\n [2, 1, 2, 4],\n [0, 0, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3428 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -3, 0],\n [1, 4, -4, 4],\n [-3, -1, -1, -1],\n [1, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-2, -1, 3, -3],\n [-1, 3, 2, 1],\n [3, 2, -4, 0],\n [-3, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -89 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, -2, 0],\n [-2, -4, 2, 4],\n [-2, 2, -3, 0],\n [0, 4, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13139 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 4, -3, -2],\n [2, -3, 1, -2],\n [-4, -3, -4, -2],\n [4, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -960 | 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, -2, 3],\n [1, -2, 4, 4],\n [-1, 3, -4, -2],\n [4, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6531 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -3, -2, -2],\n [-1, 2, -1, -3],\n [1, -1, 3, 4],\n [3, -4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2340 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -2, -2],\n [2, 1, 0, 0],\n [-2, 0, -1, -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"
}
] | 508 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[1, 4, 4, 2],\n [1, 1, -2, -2],\n [4, -1, 3, 0],\n [-3, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 80 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 4, 0],\n [0, 0, 0, -2],\n [4, 0, -4, 2],\n [0, -2, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 833 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[4, -4, 4, -3],\n [-3, -4, 0, -4],\n [-1, 3, 2, -2],\n [2, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -42 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, 2, 0],\n [-4, 3, 0, 0],\n [2, 0, -2, -2],\n [0, 0, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 441 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-4, -1, 0, 2],\n [-1, -1, 3, 2],\n [0, 3, -4, 0],\n [2, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 39 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, -4, 3],\n [0, -2, 0, -2],\n [-4, 0, 0, -1],\n [3, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -2, -2],\n [-2, -2, -4, 0],\n [-2, -4, 4, 3],\n [-2, 0, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -196 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 2, -2],\n [2, 1, -2, -2],\n [2, -2, 2, -3],\n [-2, -2, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1225 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, -1, 2, 2],\n [-1, 2, 2, -2],\n [2, 2, 4, 1],\n [2, -2, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 849 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 2, 2, 0],\n [2, 4, 4, 0],\n [2, 4, 0, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 200 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[1, 1, 0, 4],\n [1, 4, -2, -2],\n [0, -2, 2, 0],\n [4, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, 1],\n [-2, 2, 2, -4],\n [0, 2, -4, -2],\n [1, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -196 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -4, 4],\n [2, 2, 2, 0],\n [-4, 2, -1, -4],\n [4, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 25045 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, -2],\n [-2, -1, 0, 0],\n [2, 0, -1, -2],\n [-2, 0, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -125 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 1, 0],\n [0, -2, 0, 0],\n [1, 0, -2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 126 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, 1, 3],\n [1, 1, 4, -4],\n [1, 4, 0, 4],\n [3, -4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5100 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -2, -2],\n [2, 1, 0, 0],\n [-2, 0, 1, -2],\n [-2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 409 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[2, 1, 0, -1],\n [1, 4, 4, -3],\n [0, 4, 3, 2],\n [-1, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 119 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[0, 2, 0, -3],\n [2, -3, -2, 0],\n [0, -2, 3, 0],\n [-3, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-4, -2, -2, 2],\n [1, 1, 2, 0],\n [-3, 0, 4, 3],\n [0, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -40 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 2, -1],\n [-2, 4, 1, 2],\n [2, 1, 0, 0],\n [-1, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 136 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-3, 4, -4, -1],\n [-2, 0, -3, -3],\n [3, -2, -1, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -2, 0, 2],\n [-2, 2, 1, -2],\n [0, 1, -2, -1],\n [2, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -52 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 2, -1],\n [2, 3, 4, 1],\n [2, 4, 3, 0],\n [-1, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14103 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -2],\n [-2, 1, 0, 0],\n [0, 0, 4, 0],\n [-2, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 62 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, -1, 1],\n [-3, 1, -1, 4],\n [-2, 1, -1, 0],\n [0, 0, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 405 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, 1, -2, 0],\n [1, 2, 1, 2],\n [-2, 1, 4, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14 | MATH |
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