messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, 0, 2],\n [2, -4, 0, -2],\n [0, 0, -2, 1],\n [2, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1459 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, -2, 1],\n [-1, 4, 2, 3],\n [-2, 2, -3, 3],\n [1, 3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8875 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[1, 1, -1, 0],\n [2, 0, -2, -3],\n [-2, -1, -4, 2],\n [3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -49 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, -2, 0],\n [3, 0, 2, 2],\n [-2, 2, 3, 0],\n [0, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 168 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, 2, 0],\n [0, 4, -2, 2],\n [2, -2, -2, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1040 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, -4, -2],\n [-2, -3, -3, 0],\n [-4, -3, -3, 1],\n [-2, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14126 | 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, -3, 0],\n [-1, -3, 3, 0],\n [-1, 2, 2, -4],\n [2, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1487 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, -4, 1],\n [3, -3, -2, 4],\n [3, 3, 1, 1],\n [0, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1656 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 3, 3],\n [-3, 0, -2, -2],\n [0, -2, 0, 1],\n [-2, 3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1021 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 2, 0],\n [1, -4, -2, -4],\n [2, -2, -2, -1],\n [0, -4, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2110 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 2, 0],\n [1, 1, 0, 2],\n [2, 0, 4, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 395 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 0],\n [0, 0, 0, 2],\n [2, 0, 3, 2],\n [0, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1591 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, -2, 0, 2],\n [-2, 2, 0, 0],\n [0, 0, -4, 3],\n [2, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 36 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 1, 2, 1],\n [-2, -1, 0, 3],\n [-1, 4, 0, 4],\n [-2, -1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2862 | 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, 1, -2, -2],\n [0, -2, -1, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3855 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 0, 2],\n [3, 3, 2, -3],\n [0, 2, -2, 4],\n [2, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 259 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, -2, 0],\n [0, 3, 2, 0],\n [-2, 2, 3, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1303 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, -1, -3],\n [1, -1, -1, 0],\n [2, 0, -4, 3],\n [4, -4, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 745 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, 0, 3],\n [3, 1, -4, -3],\n [-3, 1, 0, -3],\n [4, -1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 964 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 4, -2],\n [1, 1, -4, -4],\n [-3, 1, 2, -3],\n [-3, 3, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4685 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 4, -4],\n [0, -4, -3, 3],\n [-3, 4, 2, 3],\n [0, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1133 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, -4, 4],\n [-4, 3, 1, -1],\n [3, 2, -3, -3],\n [3, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2695 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, 2, 0],\n [-2, -2, -1, -2],\n [3, 0, -3, -1],\n [-1, 4, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 146 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, -4, 0],\n [-1, -3, 4, -2],\n [-4, 4, -2, 3],\n [0, -2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -38 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 1, 2],\n [3, 0, 0, -3],\n [-4, 3, -2, -3],\n [-4, -3, -1, 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 (3, 1) of the result:\nA =\n[[-4, 4, -2, 3],\n [-1, 2, 3, 2],\n [1, -4, -1, 4],\n [-3, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -668 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 2, 0],\n [-3, 1, -2, -1],\n [2, -2, -1, -2],\n [0, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -58 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[4, 3, 1, 4],\n [3, 4, 0, -3],\n [1, 0, 1, 0],\n [4, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 205 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 4, -4],\n [-2, -1, -3, 0],\n [-3, 2, -4, -1],\n [0, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1102 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, 0, -2, 3],\n [0, 3, 0, 1],\n [-2, 0, -4, 1],\n [3, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 875 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, 4, 4],\n [-2, -2, 2, -2],\n [4, 1, -2, 0],\n [1, 1, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 262 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 4, 0, 0],\n [0, 4, -1, -4],\n [-2, -3, -3, 1],\n [-2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4247 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 0, 0, 0],\n [0, -1, 0, -2],\n [0, 0, 0, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 47 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, -3, 2, 0],\n [-3, 3, -2, -2],\n [2, -2, -4, 3],\n [0, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -440 | 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 [-3, 3, -3, 1],\n [-2, 1, 0, 2],\n [-1, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 230 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 0, 1, -4],\n [-3, 4, -4, -2],\n [2, 1, -2, -1],\n [-2, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -6 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 0, 3],\n [1, -4, 0, -1],\n [0, 0, -2, -1],\n [3, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3956 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -3, -1, 2],\n [0, -4, 1, 0],\n [2, -4, 1, 3],\n [-4, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3196 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 1, 3],\n [-4, 2, -3, 3],\n [3, -2, -2, -1],\n [3, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1461 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[1, 2, 0, -4],\n [2, -3, 0, -2],\n [0, 0, 0, -3],\n [-4, -2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -87 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 1, -3],\n [-1, -3, 3, 0],\n [0, -1, -1, 3],\n [-4, 3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 270 | 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 [-2, -3, 1, -2],\n [2, 1, -2, 2],\n [-4, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2185 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, 1, 0],\n [4, 0, 3, 1],\n [1, 4, -4, 3],\n [4, 1, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 46 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, -3, -4],\n [4, 4, 1, 0],\n [-3, 1, -2, 3],\n [-4, 0, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, -2, 3],\n [-3, -2, -3, -2],\n [-4, -4, -1, -4],\n [-2, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7280 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 2, 2],\n [2, 3, 2, 0],\n [2, 2, -2, 4],\n [2, 0, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7654 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, -2],\n [0, 3, -2, 1],\n [0, -2, 2, 3],\n [-2, 1, 3, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -198 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, 0, 0],\n [4, -1, -2, -1],\n [0, -2, 4, 0],\n [0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -10 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2, 2],\n [-1, -3, -1, 0],\n [-3, -4, 2, 0],\n [3, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2034 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, 1],\n [2, 1, -2, 0],\n [0, -2, 2, 0],\n [1, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 59 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 4, -4],\n [3, -3, 1, -1],\n [-2, 1, -4, 2],\n [-1, 4, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -755 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-1, -4, 1, -4],\n [3, -4, -1, -2],\n [-4, -4, -1, 1],\n [4, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1240 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, 0, -2],\n [-4, 0, 0, 2],\n [0, 0, -1, 1],\n [-2, 2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -560 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 2, 0],\n [2, 1, -3, 0],\n [2, -3, -2, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3522 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, 2, -1, 1],\n [2, 0, 2, 1],\n [-1, 2, 3, 2],\n [1, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 148 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 3, -4, 0],\n [3, -3, -1, 1],\n [-4, -1, -3, -3],\n [0, 1, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1143 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-3, 0, 1, 0],\n [0, 4, 0, 1],\n [1, 0, -2, 0],\n [0, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, -1, 3],\n [4, 2, -4, -4],\n [-2, -2, 2, 0],\n [4, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 218 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -1, 3, -1],\n [3, 3, -4, 0],\n [3, -2, -2, -4],\n [1, -3, 1, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 392 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[3, -1, 2, 2],\n [-1, -4, -2, -2],\n [2, -2, -2, 0],\n [2, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 645 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, -3, 1, 3],\n [-3, 2, 3, -3],\n [0, -2, 2, -2],\n [-1, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 118 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, 0, -1, -2],\n [0, -1, 0, -2],\n [-1, 0, 2, 0],\n [-2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, 0, -2],\n [-3, 1, 0, 4],\n [0, 0, 0, 0],\n [-2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1142 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, -4, 3],\n [1, 0, -2, 1],\n [2, -1, 1, -4],\n [-4, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6583 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -1, 0],\n [2, 3, 2, 1],\n [-1, 2, 4, 1],\n [0, 1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4097 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 1, -1],\n [3, -4, -2, -2],\n [1, -2, -3, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -462 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, 0, 3],\n [1, 3, 0, 0],\n [0, 0, -3, -2],\n [3, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2915 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 4, -2],\n [-2, 1, 1, -3],\n [-3, 2, -3, 1],\n [0, 1, -1, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 4],\n [0, -2, -1, 0],\n [0, -1, 3, 2],\n [4, 0, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9027 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -3, -2],\n [4, -4, -4, 1],\n [-3, 2, 4, 3],\n [-1, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 788 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, -2, 0, 1],\n [-2, 1, 1, 2],\n [0, 1, -2, 0],\n [1, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-4, 0, 0, 0],\n [0, -3, 2, 0],\n [0, 2, 2, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 3, 3, -2],\n [2, -4, 3, 2],\n [-2, 1, -3, 3],\n [-4, -3, 4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5450 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 4, -3],\n [2, -1, 0, 2],\n [4, 0, -3, 1],\n [-3, 2, 1, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2267 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 2, -1],\n [2, -4, 0, -2],\n [2, 0, 3, -2],\n [-1, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3686 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 3, -1],\n [3, 4, 4, 0],\n [3, 1, 1, -2],\n [0, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 21 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, -1, 3, 3],\n [-3, 3, -3, -4],\n [3, 0, 0, 1],\n [-1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -84 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 0, 2],\n [0, 3, 0, 0],\n [0, 0, -1, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 253 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -4, -1, 2],\n [-3, -2, -4, -3],\n [3, -2, 0, -4],\n [-3, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -320 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-1, 2, -3, 4],\n [2, 3, 3, -4],\n [-3, 3, -2, -2],\n [4, -4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -18 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2, -2],\n [-2, -4, 0, -3],\n [2, 0, -2, 0],\n [-2, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1161 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 0],\n [0, 1, 0, 4],\n [0, 0, -4, 2],\n [0, 4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 721 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0, 2],\n [-2, 2, 2, 0],\n [0, 2, -1, 1],\n [2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 152 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 0, 3, 4],\n [3, 1, -3, 0],\n [2, -4, 0, 4],\n [0, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 51 | MATH |
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[4, 2, 1, -1],\n [2, 0, -2, 2],\n [1, -2, -3, 0],\n [-1, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 46 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 4, 1, 1],\n [1, -2, -3, 3],\n [-3, 3, 4, 2],\n [4, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 613 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, -2, 2],\n [2, 0, 2, 2],\n [-2, 2, -4, 1],\n [2, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 540 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-2, 0, 0, -3],\n [-4, -4, -3, 1],\n [2, 0, -2, -4],\n [-4, 1, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 909 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, -1, 0],\n [-1, 1, -1, 0],\n [-1, -1, -4, 0],\n [0, 0, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 349 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, -2, -2, 2],\n [-2, 2, 2, -2],\n [-2, 2, -1, 0],\n [2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -32 | 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, 1],\n [2, -2, -2, 3],\n [0, -2, 3, 2],\n [1, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2523 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, 0, 0, 0],\n [0, -2, 0, 4],\n [0, 0, 4, 2],\n [0, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1616 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -3, -2, -1],\n [-3, -2, -4, 0],\n [-2, -4, 0, 1],\n [-1, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1127 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, -1, -2, -3],\n [-2, 4, 0, 1],\n [2, 1, -4, 4],\n [3, 3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -7 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-2, 0, 2, -2],\n [0, 4, 0, -4],\n [2, 0, 2, -2],\n [-2, -4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -688 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 1, 4],\n [-2, -3, 2, 0],\n [1, 2, 4, 0],\n [4, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1074 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -3, 4, 3],\n [-3, -1, 3, -2],\n [-2, -2, 3, 1],\n [-4, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4608 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -4, 0, 0],\n [-4, -2, -4, -4],\n [-3, 2, 2, 2],\n [-1, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -76 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-4, 4, 3, 2],\n [1, -3, 3, -4],\n [-1, 1, 0, 0],\n [-3, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -168 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, 2, -1, 4],\n [-2, 1, 2, 3],\n [2, 3, 4, -3],\n [3, -4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -13 | MATH |
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