messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -2, 2],\n [-2, -3, 2, -1],\n [-2, 2, -3, -1],\n [2, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 495 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, -4, 1],\n [-2, 0, 2, 1],\n [-4, 2, 2, 1],\n [1, 1, 1, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1026 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[1, 2, 0, 4],\n [2, 2, 2, -2],\n [0, 2, -2, 1],\n [4, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -452 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, 3, -4, -4],\n [3, 0, 4, 4],\n [2, -3, 1, -3],\n [-1, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -53 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, 0, 2],\n [-2, -3, 0, 1],\n [0, 0, 1, 0],\n [2, 1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2242 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-2, 0, 1, -3],\n [1, -3, 4, 3],\n [4, -3, -3, -3],\n [3, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -58 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [2, 3, -2, 0],\n [0, -2, 1, -3],\n [0, 0, -3, 3]], determine the value at position (2, 4).\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, 2, -1, 2],\n [2, -1, 0, 0],\n [-1, 0, 4, 1],\n [2, 0, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2201 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 0, 0],\n [-2, -1, -1, 1],\n [0, -1, 4, -2],\n [0, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3116 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 0, 3],\n [-4, 2, 2, -1],\n [0, 2, -3, 2],\n [3, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -121 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 0, 4],\n [0, -4, -2, -2],\n [2, -4, 2, 1],\n [4, 4, 2, -4]], determine the value at position (1, 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 3th power of the matrix:\n[[1, 2, -1, -2],\n [2, 3, 4, -3],\n [-1, 4, 4, 0],\n [-2, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1788 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, -2, 4, -1],\n [0, 2, 0, -4],\n [0, 4, 2, 2],\n [0, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 64 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[3, 2, 2, -1],\n [-1, -4, -1, -2],\n [0, -4, -1, 1],\n [0, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 4, -1, 1],\n [-1, 3, -3, 4],\n [-3, 2, 4, 4],\n [0, 2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1570 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 2, 0],\n [2, 0, 1, 4],\n [2, 1, 2, -1],\n [0, 4, -1, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 830 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 4, -2],\n [3, -2, -3, 3],\n [4, -3, 3, 0],\n [-2, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13307 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 2],\n [0, -2, 2, -3],\n [0, 2, 3, -3],\n [2, -3, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8586 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 2, -1],\n [1, 2, 0, 2],\n [2, 0, 1, -4],\n [-1, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1440 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 2, 0, -4],\n [2, 1, -1, -4],\n [0, -1, -1, 2],\n [-4, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 279 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, -1, -3],\n [1, 4, 1, 4],\n [-3, -3, 4, -2],\n [-4, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4819 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 0, 2],\n [0, 3, -2, -4],\n [0, -2, 2, 2],\n [2, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 525 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 3, 4],\n [3, 4, 0, -2],\n [3, 0, -1, 2],\n [4, -2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20778 | 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, 3, 1],\n [3, 2, 3, -1],\n [2, -2, 2, -1],\n [0, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1188 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[3, 1, 1, -4],\n [4, -1, 0, 2],\n [-1, -4, 1, -3],\n [4, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -201 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 0, 0],\n [-2, -2, 0, -1],\n [0, 0, -3, -2],\n [0, -1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 221 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, 2, -2, 1],\n [2, -4, 0, 3],\n [-2, 0, -1, -3],\n [1, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -600 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 0, 4],\n [1, 1, -1, -4],\n [2, 1, 3, -1],\n [3, 1, 2, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 27 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, 0, -1, -2],\n [0, 1, 4, -3],\n [-1, 4, 1, 1],\n [-2, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -86 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, 1, 3],\n [3, -4, 3, 0],\n [1, 3, -2, -3],\n [3, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1356 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, -3, -2],\n [3, 1, 1, -1],\n [0, 0, 1, -2],\n [-3, 1, 1, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 176 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, -2],\n [0, 1, 2, -2],\n [-2, 2, 4, -2],\n [-2, -2, -2, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1044 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, 0, 0, 1],\n [-1, -2, 3, -2],\n [4, -1, -2, 4],\n [2, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 73 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 2, 3],\n [0, 3, 1, -2],\n [2, 1, 1, 0],\n [3, -2, 0, 2]], determine the value at position (3, 4).\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[[3, -1, -3, 0],\n [-1, 3, 2, -2],\n [-3, 2, 4, -2],\n [0, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 17943 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, 2, -2],\n [-1, 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"
}
] | 924 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, -3, 1, 0],\n [-3, 2, 2, 0],\n [1, 2, 0, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -94 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-3, 0, -2, 4],\n [-3, 0, 0, 0],\n [1, 0, 0, 1],\n [2, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -32 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -4, 2, 3],\n [4, -3, -2, -2],\n [4, 3, -2, 2],\n [1, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7148 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, 2, 0, -1],\n [0, 0, 0, 0],\n [2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 474 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, -3, 0],\n [-3, 4, 2, 0],\n [-1, -3, 4, -2],\n [1, 1, -3, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 437 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 3, -2, 3],\n [2, -1, -4, 2],\n [1, -3, 2, -1],\n [3, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4469 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, 4, 3],\n [-4, 4, 0, -1],\n [3, -4, 0, 3],\n [2, 4, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2273 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[4, -3, 4, -2],\n [-1, 0, 3, -4],\n [4, 0, 1, -2],\n [2, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 59 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, -1],\n [0, 1, 2, 2],\n [2, 2, 3, -1],\n [-1, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 81 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, 2, 0],\n [-4, 0, -2, 1],\n [2, -2, 2, -2],\n [0, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 647 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, 0, 2],\n [3, 3, -4, 0],\n [-1, -1, 1, -2],\n [-4, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 888 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-1, 0, 0, 0],\n [0, 4, -1, -2],\n [0, -1, -1, 1],\n [0, -2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 35 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 3],\n [0, 3, 2, 0],\n [-2, 2, -2, 2],\n [3, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 837 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 1, -2, -3],\n [2, 0, 3, 2],\n [2, -2, 3, -2],\n [3, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -240 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, 3, -3],\n [2, 3, -3, 1],\n [3, -3, -3, -2],\n [-2, 3, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10591 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, 1, 2, 1],\n [1, 0, -1, -3],\n [2, -1, -2, 2],\n [1, -3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 167 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[2, 2, -1, 0],\n [-2, 3, -3, -4],\n [2, -3, -4, -3],\n [3, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2185 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, -1, 2],\n [2, 0, 2, 0],\n [-1, 2, 4, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1922 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 2],\n [2, 4, -2, -1],\n [0, -2, 3, -4],\n [2, -1, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13155 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 3, -4],\n [1, -1, 1, 4],\n [3, 0, 0, 4],\n [4, -4, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -25 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, -3, 3, -3],\n [-4, -4, 1, 0],\n [-4, -4, -3, 3],\n [1, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 183 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[3, 2, -3, 0],\n [2, -1, 4, 2],\n [-3, 4, -1, -2],\n [0, 2, -2, 4]]?\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 (2, 1) of the result:\nA =\n[[1, -4, 2, 0],\n [-2, 1, 3, -4],\n [0, 3, 0, 0],\n [1, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -238 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -4, 2, 1],\n [0, -2, -3, 1],\n [4, -4, 0, 4],\n [1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 97 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, 0, 2, 0],\n [0, 1, 0, -2],\n [2, 0, 2, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 336 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 2, -2, 0],\n [1, 1, 1, 4],\n [3, 2, 1, 3],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -51 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 3, -3, 3],\n [1, -1, -3, -2],\n [-1, -4, -1, -3],\n [2, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -81 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 3, 2, -2],\n [0, -3, -2, 4],\n [-1, 2, 4, -4],\n [3, 1, -3, 3]]\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, -3, 1, -1],\n [3, 0, -2, 3],\n [-3, 4, 2, -3],\n [1, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -138 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 1, -1],\n [-1, -2, -2, -3],\n [-2, 1, 0, -2],\n [-4, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 92 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, 1, -3],\n [-4, 3, 1, 0],\n [2, -3, 1, -4],\n [3, 1, -3, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -95 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, -4, 4],\n [-3, -3, 4, -2],\n [2, 0, 2, 3],\n [-1, 2, 2, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -144 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, -2],\n [0, 4, 2, -1],\n [-1, 2, 2, -3],\n [-2, -1, -3, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 115 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-1, -3, 4, -3],\n [-4, 1, -4, -4],\n [0, 0, 0, 2],\n [-4, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 31 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 0, 1],\n [-2, -2, -1, -2],\n [0, -1, 3, 2],\n [1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 524 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -3, -2, -4],\n [-4, -2, -1, 4],\n [4, -1, 3, -2],\n [-4, 3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1035 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -2, 0],\n [2, -4, 0, 0],\n [-2, 0, 1, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3942 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, 2, -1, -1],\n [2, 3, 0, 2],\n [-1, 0, -4, -1],\n [-1, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 30 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, 0, -3, 2],\n [0, -1, 0, -1],\n [-3, 0, 0, 2],\n [2, -1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 392 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, -2, 1],\n [-2, -1, 0, 0],\n [-2, 0, 0, -1],\n [1, 0, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1826 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, -3],\n [-2, -4, 0, -2],\n [0, 0, -4, 2],\n [-3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6113 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 2, 0, 0],\n [-2, 0, 2, 3],\n [-4, 0, 0, 1],\n [-2, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -32 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, -1, 0],\n [2, 1, 0, 3],\n [-1, 0, -1, -1],\n [0, 3, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1155 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, 0, -1],\n [-1, -3, 3, -1],\n [-1, 4, -1, 3],\n [1, 4, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 815 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, -3, 0],\n [2, 2, 3, -4],\n [-3, 1, 0, 4],\n [3, -2, 4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8552 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[1, 0, -4, 2],\n [0, -1, 0, 2],\n [-4, 0, -4, 2],\n [2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, -4, 3],\n [-2, 2, -1, 2],\n [-4, -1, -4, 0],\n [3, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2272 | 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, 4, 1],\n [-2, -1, 4, -3],\n [0, -4, 1, -4],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4080 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-1, -4, -2, -1],\n [-1, 4, 2, -1],\n [0, -2, -2, -4],\n [-3, 3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, -3, 2],\n [-2, 3, -2, 0],\n [-3, -2, 4, 4],\n [2, 0, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3934 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-3, -2, 2, -2],\n [-2, -4, 0, 0],\n [2, 0, 4, -4],\n [-2, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 204 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 2, 0],\n [2, -4, 0, 3],\n [2, 0, -4, 2],\n [0, 3, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1402 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, 2, -4],\n [1, 0, 3, 0],\n [-1, 0, 4, -4],\n [3, 1, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 32 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, 0, -2],\n [2, 3, -2, -2],\n [0, -2, -3, -3],\n [-2, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4178 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, -3, 4, -2],\n [2, 1, 3, 1],\n [0, -3, -2, 4],\n [-1, 2, 1, -1]]\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[[-1, 1, 0, 2],\n [1, -2, 1, -2],\n [0, 1, 4, -3],\n [2, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1056 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -1],\n [1, 0, 4, 4],\n [4, -3, 0, -1],\n [4, -1, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, -1, -2],\n [-1, 0, 0, -2],\n [-1, 0, 1, 1],\n [-2, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1937 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 3, 2],\n [0, -3, -2, -4],\n [3, -2, 0, -3],\n [2, -4, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13037 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, -4, -3],\n [4, -3, 2, -4],\n [-1, 0, -2, -4],\n [0, 2, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2049 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, -1, -1],\n [-1, -2, 0, 2],\n [1, -4, 1, 0],\n [-1, 0, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 401 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 4, -1],\n [-2, 4, 1, -3],\n [-2, -4, -4, 2],\n [3, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 104 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, -2, -4],\n [3, -2, 1, -4],\n [1, 3, -4, -1],\n [3, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -100 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 4, 2, 0],\n [4, 2, 0, -4],\n [2, 0, -2, -1],\n [0, -4, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1880 | MATH |
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