messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0, -1],\n [4, -2, -2, -3],\n [1, 0, -4, 4],\n [-3, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1101 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -2, 2],\n [-2, 0, 1, -4],\n [-2, 1, -1, 2],\n [2, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1575 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, -2, 2, 2],\n [-2, -2, -2, 0],\n [2, -2, -4, 1],\n [2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 714 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, -3, -3, 1],\n [-1, 0, 0, 0],\n [1, -4, -4, 4],\n [-2, 3, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 180 | 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, -3, 0],\n [-1, -3, 4, 4],\n [0, 0, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1864 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 3, 1],\n [1, 1, 0, 2],\n [3, 0, 2, 0],\n [1, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3852 | 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, 0, 2],\n [-4, 4, 3, -3],\n [-4, -1, -1, 4],\n [-2, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5661 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, 1, 0],\n [-3, -2, 0, 1],\n [1, -2, -3, 2],\n [-1, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 378 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 2, 1],\n [-2, -1, -2, 0],\n [2, -2, -3, 0],\n [1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1919 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, 0, 0, -3],\n [0, -3, 1, 2],\n [0, 1, 3, 0],\n [-3, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -36 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, 2, 3, 0],\n [2, -4, -1, -3],\n [3, -1, 1, 0],\n [0, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -471 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -1, -2],\n [2, 0, 2, 2],\n [-1, 2, 1, 2],\n [-2, 2, 2, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 39 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, -2, 3],\n [2, 0, 3, -4],\n [0, 1, 0, 1],\n [3, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1050 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 1, -2],\n [1, 0, 0, 4],\n [1, 0, -3, 2],\n [-2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1784 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, 2, -2, -1],\n [4, 0, 4, -2],\n [-2, 2, -3, 2],\n [-1, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -314 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, -2, 2],\n [1, 0, 1, 1],\n [-2, 1, 2, -1],\n [2, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1134 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[4, 1, 0, -2],\n [1, 2, 0, 3],\n [0, 0, 1, 0],\n [-2, 3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, -2, -3],\n [-3, 0, -3, 0],\n [4, 0, -4, 4],\n [4, -2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 786 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 4, 4],\n [1, 1, 0, 0],\n [4, 0, 0, 0],\n [4, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 328 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, -3, -1],\n [4, 4, 2, -3],\n [-3, 3, 0, 3],\n [-4, -1, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 570 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 2, -4],\n [-2, 4, -3, 3],\n [0, -1, 2, 2],\n [2, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 39 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, 0, 0, 1],\n [0, -4, 4, -2],\n [0, 4, 2, 2],\n [1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -238 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 4, -1],\n [0, -2, 1, -2],\n [4, 1, -2, 0],\n [-1, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 950 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, -3, 0],\n [-3, 2, -2, -1],\n [-3, 4, 3, 3],\n [2, 3, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4322 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -1, -3],\n [-3, -4, -3, 2],\n [-1, -1, -4, 1],\n [3, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11700 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -1, 1, 0],\n [-2, 0, 2, 1],\n [-4, -3, -3, 0],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 102 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, -4, 0, -1],\n [0, 0, 0, -4],\n [0, -1, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 347 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 3, 0, 3],\n [-1, -3, -2, 2],\n [0, 2, 4, 1],\n [1, -2, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 246 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, -2, 0, 2],\n [-2, 0, 4, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6272 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, 2, -1],\n [2, -1, -1, -1],\n [2, -1, 0, -1],\n [-1, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 361 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -1, -2],\n [2, -3, 2, -4],\n [-1, 2, -4, -1],\n [-2, -4, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -69 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 3, -2, 1],\n [1, 1, -2, 0],\n [-2, 0, -2, -1],\n [-2, 3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 63 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 4, 1],\n [0, 1, -1, 1],\n [-3, 4, -4, -1],\n [-4, -2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 517 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 0, 2, 4],\n [0, -4, 0, 2],\n [2, 0, -4, 2],\n [4, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 80 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, -1, 0],\n [-1, -2, 0, 4],\n [-1, 0, 3, 4],\n [0, 4, 4, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 125 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, 4, 3],\n [-3, 4, 4, 3],\n [-3, -4, -2, 1],\n [-2, -3, 1, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -162 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 1, 3],\n [-3, 1, -1, -1],\n [-4, 1, 1, 1],\n [-2, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 149 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[4, -4, 0, 0],\n [-3, 2, 2, -1],\n [0, -4, -4, 1],\n [2, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -140 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, 1, 1, 0],\n [1, -4, 0, 0],\n [1, 0, 0, 0],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -4, 2, 3],\n [1, 2, 4, 3],\n [4, -3, -1, 2],\n [-4, -3, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1228 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 4, 4, -1],\n [1, 1, -3, -4],\n [2, -2, -4, 1],\n [-3, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 975 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, 1, -4],\n [0, 2, -2, -1],\n [1, -4, 4, -4],\n [-3, -1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 53 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, -1, 2],\n [4, 1, 1, 2],\n [-1, 2, 2, 0],\n [3, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1068 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -1, 3],\n [-2, -3, 4, 2],\n [-1, -4, -2, 1],\n [1, -1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -796 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-2, 2, 3, 3],\n [0, 1, 1, -4],\n [2, -2, 0, 2],\n [-4, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -1, -3, -4],\n [0, 2, 3, -4],\n [0, 4, -4, 3],\n [1, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1276 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 4, 0, 0],\n [4, -1, 0, 2],\n [0, 0, -4, 0],\n [0, 2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 910 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -1, 1, 2],\n [-1, 2, 0, -1],\n [-4, 2, 0, 3],\n [2, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -2, -3],\n [3, -3, -2, -4],\n [3, 2, -3, 1],\n [4, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5372 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, -1, 2, -4],\n [3, 3, 0, -4],\n [-4, 4, 0, 4],\n [-4, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -74 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 1, 2],\n [0, -1, -2, -2],\n [1, -2, 0, 3],\n [2, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 855 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, -3, 3, -2],\n [0, 3, 1, -1],\n [-3, -4, -2, 3],\n [0, 0, -2, 3]]?\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 absolute values of all entries of the result:\nA =\n[[-4, 0, 3, 1],\n [-4, 4, -3, -4],\n [0, 3, 3, -1],\n [0, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1105 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, 0, -3, -1],\n [-1, -3, -1, 0],\n [-2, 2, 0, 0],\n [-2, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, -2, 4],\n [0, -4, 4, 1],\n [-2, 4, -2, 0],\n [4, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 476 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 0, 2],\n [-1, 0, 0, 2],\n [0, 0, -4, -2],\n [2, 2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 658 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, -4, 1],\n [2, 0, -3, -4],\n [-2, 4, 4, -4],\n [-4, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7640 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, -1],\n [-2, -1, 3, -2],\n [0, 3, -4, 2],\n [-1, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1160 | 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, -4, 0],\n [2, 3, 0, -4],\n [-4, 0, 2, 0],\n [0, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14693 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, -3, -4],\n [0, -2, 4, 0],\n [-4, -4, -4, -4],\n [-4, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2958 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 3, 0],\n [-3, -3, -4, -1],\n [-4, 0, 2, -3],\n [-1, -2, 0, -2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 4, 4, -2],\n [-3, 1, -1, 4],\n [1, 2, 0, 3],\n [0, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 793 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -2, 0],\n [2, 2, 0, 0],\n [-2, 0, 4, 0],\n [0, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 80 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -4, 0, 0],\n [-4, 0, 2, -2],\n [0, 2, -2, -2],\n [0, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3634 | 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, -1],\n [-1, 2, 4, -1],\n [2, -1, -4, 4],\n [2, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1272 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 3, -4, 4],\n [0, -3, 1, -2],\n [0, 1, -2, -4],\n [2, -1, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1524 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -4, 0, 4],\n [-4, 0, 0, 0],\n [0, 0, -4, 2],\n [4, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2784 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, -2, -3],\n [0, 0, 4, 0],\n [-2, 4, -1, 2],\n [-3, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5329 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -3, -2],\n [0, 4, 2, 3],\n [-3, 2, 3, 4],\n [-2, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2776 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, -3, -4],\n [1, -4, -4, -4],\n [0, -2, 3, 2],\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"
}
] | 1250 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 2],\n [0, 1, -4, 0],\n [0, -4, -1, 0],\n [2, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 612 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 2, 4],\n [-1, -4, 2, -3],\n [-3, 1, 1, 3],\n [0, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -144 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, 1],\n [-2, -1, 0, 0],\n [0, 0, -2, 0],\n [1, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -183 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, -2],\n [2, 3, 0, -2],\n [-2, 0, 3, 0],\n [-2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -90 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, 0],\n [0, 2, -2, 1],\n [-2, -2, -4, 3],\n [0, 1, 3, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 252 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, 0],\n [-1, -2, -2, -2],\n [3, 4, 2, 3],\n [1, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1020 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -2, -1],\n [3, 0, 0, 4],\n [-2, 0, -1, 3],\n [-1, 4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3426 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 1, 2, -3],\n [1, 3, 0, 1],\n [2, 0, 0, 2],\n [-3, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1180 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, -4, -2],\n [-2, -4, 2, 0],\n [-4, 2, 3, -4],\n [-2, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1107 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, -4, -3, 3],\n [-4, -1, 4, 2],\n [-1, 2, 3, 3],\n [-1, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1648 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[4, 3, 4, 1],\n [1, -2, -1, -2],\n [0, 2, -3, 0],\n [-3, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 32 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -4, 3],\n [2, 1, 3, 2],\n [-1, 1, 3, 4],\n [2, -1, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 846 | 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, -1],\n [-3, -1, 4, -3],\n [-2, 4, 1, 0],\n [-1, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1101 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -2, 4],\n [2, 0, 0, 2],\n [-2, 0, 4, -2],\n [4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 866 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-1, 3, -4, 2],\n [1, 4, 2, -3],\n [2, 1, -2, -1],\n [-3, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -9 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 3, 2, 1],\n [4, 1, -3, -2],\n [1, -4, -3, 1],\n [3, -1, 2, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 147 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -1, 0, 1],\n [-1, 0, 0, -3],\n [0, 0, 0, 0],\n [1, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -251 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 0, -2],\n [0, -2, 2, 1],\n [0, 2, 0, 2],\n [-2, 1, 2, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -34 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -2, -3, 3],\n [1, 3, -2, 1],\n [-1, -4, 0, -4],\n [2, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 69 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 4, 4, -3],\n [1, 2, 4, -4],\n [-4, -3, -4, -4],\n [0, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1442 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -4, 3, -1],\n [-3, -3, -3, 4],\n [2, 3, 0, 4],\n [1, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 763 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 1, 0, -2],\n [1, 3, -4, 0],\n [0, -4, 2, 1],\n [-2, 0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6594 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 1, 2],\n [0, 3, -4, -2],\n [1, -4, 4, -1],\n [2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 45 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -3, 2],\n [4, 2, -3, 1],\n [2, 4, -2, 4],\n [3, 3, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 39 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 3],\n [-2, 3, 3, -2],\n [0, 3, 2, 0],\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"
}
] | 1102 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 0, 4],\n [-1, -3, 2, 1],\n [3, 3, -1, 4],\n [-3, -4, -1, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -133 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 4, -4, 3],\n [4, 1, 0, 2],\n [-4, 0, -1, 1],\n [3, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8165 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, -4, 0],\n [2, -4, -1, -4],\n [-4, -1, 0, 2],\n [0, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -172 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -2, -2],\n [-2, 3, -3, 2],\n [-2, -3, -4, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11523 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 3, -4, 3],\n [2, 0, 3, -4],\n [0, 4, 1, 3],\n [-3, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -340 | MATH |
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