messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[1, 4, 0, -2],\n [4, -1, -2, -2],\n [0, -2, -1, 0],\n [-2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -98 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, -3, 0],\n [-2, 2, -1, 0],\n [-3, -1, 3, 0],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2596 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 1, 3],\n [-2, -1, 0, -2],\n [1, 0, -4, 1],\n [3, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 991 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 4],\n [0, 1, -2, -1],\n [0, -2, 2, -2],\n [4, -1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 146 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, 2, -2],\n [-2, 0, -3, 1],\n [-2, -4, -2, -4],\n [-4, 1, 2, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 43 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, 0, 0],\n [4, -2, -3, 1],\n [0, -3, 0, 2],\n [0, 1, 2, 1]]\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[[3, -3, -4, 3],\n [1, 1, -1, 3],\n [-2, -4, 0, 4],\n [4, 1, -4, 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[[0, 3, 2, 0],\n [3, -2, 2, -1],\n [2, 2, -3, -2],\n [0, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 535 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, 2, 0],\n [-1, 0, 2, 2],\n [2, 2, -2, -1],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2891 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -3, -1],\n [-1, -3, 2, 1],\n [-2, 3, 0, -1],\n [1, 1, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5 | 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, 0, 3],\n [-2, 4, 2, 1],\n [0, 2, 3, 1],\n [3, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 826 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 1],\n [0, 4, 0, -2],\n [0, 0, -4, 1],\n [1, -2, 1, 0]]\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 all entries of the result:\nA =\n[[-1, 0, 0, -1],\n [0, -1, 0, 0],\n [0, 0, -3, -2],\n [-1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 611 | 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, 1, 3],\n [-3, 1, 4, 3],\n [0, 0, -1, -4],\n [-3, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4904 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, -1, -1],\n [0, -2, 1, 0],\n [-1, 1, 4, 0],\n [-1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 913 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 3, 2],\n [-3, 3, 3, -4],\n [0, 4, 3, 0],\n [-2, -2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1148 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, -1, -2],\n [0, -2, 0, 0],\n [-1, 0, -2, 0],\n [-2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1301 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, -4, 4],\n [1, -2, -1, 3],\n [-4, -2, -1, 0],\n [-2, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4094 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, -3, 3],\n [-4, -1, 4, -3],\n [1, -3, 4, 4],\n [-2, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2074 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -1, 2, -3],\n [-3, -3, 2, -4],\n [-3, 1, 3, -1],\n [-2, 1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 812 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-1, 1, 0, 0],\n [1, 4, -2, 0],\n [0, -2, 2, 2],\n [0, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -64 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, -2, 2],\n [2, 2, -1, 1],\n [-2, -1, -1, 2],\n [2, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1288 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[3, 4, 2, 4],\n [3, 1, 1, 4],\n [4, -1, 4, 0],\n [2, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2076 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 3, -2, 3],\n [-1, 2, 4, 2],\n [3, 1, 1, -3],\n [-2, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 523 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 0, -2, 0],\n [0, 2, 0, 0],\n [-2, 0, 3, 3],\n [0, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -52 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -4, 4, 3],\n [4, -1, 4, 2],\n [2, 4, -4, -3],\n [4, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 120 | 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, 4],\n [-1, -1, 1, -2],\n [4, 1, 1, -4],\n [1, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2548 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, 0, 2],\n [-4, 2, 3, -2],\n [3, -1, 1, -2],\n [1, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1102 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, 4, -3],\n [2, 4, -4, 4],\n [2, -3, 3, 2],\n [4, -1, -3, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -419 | 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, 0, -4],\n [-2, 4, 0, 0],\n [0, 0, -1, 1],\n [-4, 0, 1, -4]]\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[[2, 0, 1, -3],\n [0, 2, 2, 0],\n [1, 2, 3, 1],\n [-3, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, 2, 4, 0],\n [2, 2, -2, -2],\n [4, -2, 1, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -392 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -4, 1, 2],\n [2, -2, 3, -3],\n [-4, 0, 0, -1],\n [-2, -4, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 937 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, -2],\n [0, 3, -2, 0],\n [0, -2, 3, -2],\n [-2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 645 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -3, -2],\n [3, -3, -4, 1],\n [2, 1, -1, -1],\n [-2, -3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 110 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-2, 0, 1, 3],\n [3, -4, 4, -1],\n [0, 1, -2, 4],\n [-4, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 162 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 2],\n [0, 0, 2, -2],\n [2, 2, 0, 4],\n [2, -2, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 560 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[4, -1, -3, -3],\n [-3, 0, -4, 1],\n [2, 0, 3, 1],\n [1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -2],\n [0, 0, -1, -1],\n [2, -1, 0, 2],\n [-2, -1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 412 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -2, 4],\n [-1, -3, 2, 0],\n [-2, 2, -4, 1],\n [4, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -114 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-1, 0, -4, -4],\n [1, 3, 3, -2],\n [-1, -1, 4, -2],\n [0, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -30 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 3, 3],\n [2, -3, 1, -4],\n [1, -4, -3, 0],\n [-1, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9796 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, -1, 4, -2],\n [-1, -2, 0, 1],\n [4, 0, -3, -1],\n [-2, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -28 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, -4, -1],\n [1, 4, 0, 3],\n [-4, 0, 4, -1],\n [-1, 3, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -17 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 3, 3, -3],\n [3, -3, 1, -4],\n [3, 2, 4, -2],\n [1, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1869 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, 3],\n [4, -4, 0, -4],\n [-1, 2, 1, 4],\n [1, 1, 3, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -169 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 2, 2],\n [-4, 0, 0, -3],\n [2, 0, 2, 0],\n [2, -3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2298 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -2, 0, 2],\n [-2, -4, 3, 2],\n [0, 3, 2, 0],\n [2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8188 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -4, 4, -1],\n [-1, 0, -2, 4],\n [3, -2, 1, 2],\n [-2, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1751 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -1, -1],\n [-2, 0, -1, 0],\n [-1, -1, 0, -1],\n [-1, 0, -1, -3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 92 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, -2, 4],\n [-3, 4, -4, -1],\n [3, 3, -1, -3],\n [0, 4, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 708 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 2, -4],\n [-3, 3, -1, 2],\n [2, -1, -4, 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"
}
] | 2275 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -3, 4, 3],\n [3, 3, -1, -2],\n [-2, 0, -4, 2],\n [-4, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6354 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 2, 1],\n [-2, 3, -2, -2],\n [2, -2, 0, 2],\n [1, -2, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 362 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 4, 4, -1],\n [-3, 1, 1, 2],\n [4, -4, -1, 2],\n [-4, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, -3, 3],\n [3, 1, 4, -2],\n [4, 0, -2, -2],\n [-2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -23 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 4, 3],\n [-1, -4, -4, 3],\n [3, 1, -3, -2],\n [-2, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, -2, 2],\n [-2, -2, -2, 0],\n [-2, -2, -2, 2],\n [2, 0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1008 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 0, 0],\n [-1, 3, -3, 2],\n [0, -3, -4, 0],\n [0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2690 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 2],\n [0, 1, -4, 0],\n [0, -4, -1, 2],\n [2, 0, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 436 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 2, 4],\n [-2, 3, 0, -2],\n [2, 0, -2, 0],\n [4, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1554 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-2, 0, -2, 0],\n [0, -2, -4, 0],\n [0, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 411 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, -3, 0, -4],\n [-4, -1, -1, -4],\n [-3, -2, 4, 3],\n [-3, 2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -89 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, 0, 1],\n [1, 1, 3, 0],\n [0, 2, -4, 1],\n [3, -3, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 218 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 3, 1, 0],\n [3, 3, -3, -4],\n [1, -3, -3, 0],\n [0, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -284 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -4, 0, 4],\n [0, 0, 0, -4],\n [4, -2, 3, 0],\n [1, -4, -3, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -3, -1],\n [-1, 2, 4, -3],\n [4, -3, 1, -4],\n [0, 3, -3, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 90 | 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, 0, -1, 2],\n [-2, -1, -2, 2],\n [2, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 840 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[1, 0, 0, 0],\n [0, 1, 2, -4],\n [0, 2, 3, -2],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1008 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-4, -2, 4, 0],\n [-2, 2, 0, 1],\n [4, 0, 2, 0],\n [0, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 177 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-2, -4, -4, 3],\n [4, -3, 4, 4],\n [4, 0, 0, 0],\n [1, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 146 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 0],\n [-2, 4, 1, 2],\n [0, 1, -1, -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"
}
] | 462 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, -3, 1, 1],\n [0, -3, 3, 4],\n [0, 0, -4, -2],\n [2, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -609 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -2, -2],\n [0, -3, 0, 1],\n [-2, 0, 2, -1],\n [-2, 1, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 197 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -4, -2],\n [2, -2, -4, 0],\n [-2, -4, 2, -2],\n [0, -2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3564 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 2, 0],\n [2, -1, 0, 4],\n [2, 0, -2, 0],\n [0, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2613 | 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, -2, -2],\n [-4, 1, -1, 1],\n [-2, -1, 2, -1],\n [-2, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3132 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -1, -1],\n [-2, 1, 3, -4],\n [-2, 2, 4, -3],\n [4, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3982 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 2, -2],\n [-1, 3, -3, 3],\n [-2, -4, -3, -3],\n [2, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1534 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, -1],\n [4, 1, 4, 1],\n [3, -1, 4, -2],\n [2, -2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 564 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 0, -2],\n [1, 1, -3, -1],\n [0, -3, 3, 0],\n [-2, -1, 0, 3]], determine the sum of all entries.\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[[-3, -3, 2, 3],\n [-3, -3, -2, -2],\n [2, -2, 3, 2],\n [3, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7892 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, -1, 2],\n [0, -2, 0, -2],\n [-1, 0, 1, -4],\n [2, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1820 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -2, 4],\n [-2, 0, -2, 0],\n [-2, -2, 4, -1],\n [4, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 108 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, -4, 2],\n [2, 4, -4, 2],\n [-4, -3, 2, 2],\n [-4, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -18 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, -1, 0, 0],\n [-1, -3, -1, 3],\n [0, -1, 1, -2],\n [0, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 30 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -2, -3],\n [0, 2, 2, -2],\n [-2, 2, -4, -4],\n [-3, -2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1432 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, 4, 2],\n [3, 4, -2, -2],\n [0, 1, -4, 1],\n [0, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 816 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-4, 2, 3, 0],\n [3, -3, -1, 4],\n [1, 4, -4, -4],\n [3, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 150 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, 2, -2],\n [1, 1, 0, 1],\n [-1, 1, 2, 3],\n [3, -2, 0, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -9 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[2, -1, -2, 2],\n [-1, -1, 0, -3],\n [-2, 0, 2, 0],\n [2, -3, 0, 2]]?\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, 1, -2, 0],\n [1, 1, -1, 0],\n [-2, -1, 0, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -33 | 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, -2],\n [2, -3, -3, -2],\n [4, -1, -4, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2724 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 1, 3],\n [-1, -4, 1, -3],\n [-2, 1, -2, -2],\n [2, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 730 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 3, -4],\n [-1, 3, 1, 2],\n [3, 3, -4, -2],\n [-4, 3, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1644 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 1, 2, -1],\n [-3, 4, 2, 1],\n [3, 3, -3, 1],\n [-4, 2, 1, 2]]?\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 all entries of the result:\nA =\n[[-2, 1, -2, 2],\n [0, -4, 4, -2],\n [-3, 0, -4, 2],\n [3, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -191 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[2, 0, 1, 3],\n [0, 1, 4, -2],\n [1, 4, -3, 0],\n [3, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -72 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -3, 4],\n [-4, -2, -1, -4],\n [-4, 4, -3, -3],\n [-2, 3, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 898 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-3, 0, 0, -2],\n [0, 4, 1, 0],\n [0, 1, 2, 4],\n [-2, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -54 | MATH |
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