messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -1, 2],\n [3, 1, -2, 2],\n [-1, -2, 1, 2],\n [2, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 718 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, 3, 1],\n [0, -2, -4, -4],\n [-3, 0, -2, -1],\n [-2, -3, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -689 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -1, -4, -1],\n [2, 0, -2, -2],\n [3, -1, -2, 4],\n [-2, 0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 459 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, 2, -1],\n [1, -1, -2, 2],\n [2, -2, 2, 0],\n [-1, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 399 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 2, 1],\n [0, -4, 1, -1],\n [2, 1, 4, -2],\n [1, -1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2562 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, -2],\n [0, -2, -2, -2],\n [0, -2, -2, 0],\n [-2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4037 | 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, -2, 1],\n [-2, -1, 2, 2],\n [4, 3, 3, -3],\n [4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2394 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, 2, -1, 2],\n [-1, -3, -2, -1],\n [-3, 4, -1, -4],\n [-4, 1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -246 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, -1, 2],\n [-3, 0, 3, 4],\n [0, 4, 0, 3],\n [4, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 318 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 2],\n [2, 3, -1, 4],\n [0, -1, -2, 4],\n [2, 4, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1166 | 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, -1, 4],\n [4, 0, 0, 1],\n [-1, 0, -2, 2],\n [4, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13675 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 4, -4],\n [1, -3, 2, -1],\n [0, 4, -1, 3],\n [-2, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 82 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -2, 3],\n [0, -3, 0, 0],\n [-2, 0, 0, -2],\n [3, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1683 | 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, 4, 0, 2],\n [0, 0, 4, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 176 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[0, -2, -4, 1],\n [-2, 1, 0, 0],\n [-4, 0, 0, -2],\n [1, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 184 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, 0, -3, 3],\n [4, 2, -4, -1],\n [3, -1, 4, 2],\n [4, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 128 | 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, 2, -2],\n [-2, -3, -1, 0],\n [2, -1, 4, 1],\n [-2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4341 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -1, -2, 0],\n [-1, -1, -2, -2],\n [-2, -2, 2, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2160 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -3, 1],\n [4, 1, 2, 4],\n [1, 0, -2, -1],\n [-4, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 90 | 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, -4, 2],\n [3, 4, -3, 1],\n [1, -4, -4, 1],\n [-4, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 937 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 4, 0],\n [-2, -3, 0, -1],\n [4, 0, 2, 2],\n [0, -1, 2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 128 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-2, -2, -2, -2],\n [-2, 4, 2, -4],\n [-2, 2, -1, 2],\n [-2, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 58 | 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, -1],\n [-4, -3, 1, -2],\n [-1, 1, 4, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1116 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 1, -2],\n [-2, -4, 1, -2],\n [1, -4, -3, -1],\n [-4, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4252 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, -1],\n [-2, -3, 0, -2],\n [0, 0, -3, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2540 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -3, 0],\n [0, 3, 2, 2],\n [-3, 2, -3, -3],\n [0, 2, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5915 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, -1, -3, 0],\n [2, -3, 3, -2],\n [4, 1, 0, -2],\n [4, 4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -17 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-2, -1, -2, 0],\n [4, 1, 1, -4],\n [0, 3, 0, -4],\n [1, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 91 | 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, -4, -4],\n [-3, -2, 0, 4],\n [-4, -4, -1, -3],\n [0, 1, 1, 3]]\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[[0, 0, 2, -2],\n [0, -3, 0, 3],\n [2, 0, -3, 3],\n [-2, 3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7079 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 0, 0],\n [0, 1, -1, -1],\n [0, -1, -1, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 315 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 2],\n [0, 3, -1, -2],\n [0, -1, 1, -4],\n [2, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 862 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, -4, -1, 1],\n [0, -1, -3, -3],\n [0, 1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -36 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 1],\n [0, 1, 0, 1],\n [2, 0, 3, -1],\n [1, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 408 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -1, 0, -3],\n [-1, 0, 4, 0],\n [0, 4, -3, 0],\n [-3, 0, 0, 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[[2, -2, -1, 0],\n [-2, -3, -2, -2],\n [-1, -2, -1, 2],\n [0, -2, 2, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 557 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 4, 3],\n [2, -2, -3, 1],\n [3, -3, -4, 1],\n [1, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3264 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 1, 1],\n [-2, 4, 0, 0],\n [1, 0, 1, 2],\n [1, 0, 2, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -514 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 1, 0],\n [0, -2, -1, 2],\n [1, -1, -4, 0],\n [0, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 572 | 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, 0, -1],\n [-2, -2, -2, 0],\n [0, -2, -3, -3],\n [-1, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 694 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 1, -2],\n [0, -4, 0, 0],\n [1, 0, 0, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -101 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, -2, -1],\n [-1, 3, 0, -2],\n [-2, 0, 4, 0],\n [-1, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2317 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -2, -3],\n [-2, 2, 4, 0],\n [-1, 2, -1, 3],\n [2, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 413 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 2, 0],\n [-1, 2, 0, -2],\n [2, 0, -2, -2],\n [0, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2062 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, -4],\n [0, 0, 2, -3],\n [-2, 2, 1, 2],\n [-4, -3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -306 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, -1, -2, -1],\n [-1, 0, 0, 1],\n [-2, 0, 4, -4],\n [-1, 1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -70 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[3, -2, -2, 4],\n [-2, 0, 0, 0],\n [-2, 0, -4, 0],\n [4, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -296 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, -4, 4],\n [-4, 2, 2, 1],\n [-3, 4, -2, 1],\n [-3, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1176 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -1, -4],\n [-4, 2, 2, 3],\n [-1, 4, -1, 0],\n [-3, 1, -2, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -161 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 3, 2],\n [0, -2, 0, -2],\n [-3, 3, -2, -2],\n [-4, -3, 1, -4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 99 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -3, -2],\n [0, 2, -4, 2],\n [4, 3, 0, -2],\n [3, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -53 | 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, -3, 1],\n [-3, 2, 2, 1],\n [-1, 2, 2, -3],\n [-1, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3979 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 4],\n [0, 2, 0, -2],\n [0, 0, 2, 0],\n [4, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1241 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 2],\n [0, 3, -3, 0],\n [-2, -3, 1, -2],\n [2, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 724 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, 4, -2],\n [-3, 2, 2, -4],\n [4, 2, 3, -4],\n [-2, -4, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4383 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 0],\n [0, 2, 0, 2],\n [0, 0, -2, -2],\n [0, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 342 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, -2],\n [0, -4, 2, 2],\n [-2, 2, -4, 0],\n [-2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2793 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 3, 0],\n [2, -4, -2, -2],\n [3, -2, 4, -1],\n [0, -2, -1, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 228 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, -2, -1, -4],\n [4, -3, 2, -3],\n [-1, 4, -2, 4],\n [3, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -21 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 4],\n [4, 3, -3, 1],\n [-3, 1, 0, 1],\n [2, 3, 1, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -17 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, -4, 4],\n [-1, -1, -1, 4],\n [1, 3, -2, 2],\n [3, 3, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7168 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, -2, -1],\n [-4, -1, -3, -3],\n [-1, -2, 4, 4],\n [-3, 4, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6172 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 1, 0, 4],\n [1, 4, -2, 4],\n [0, -2, 3, -1],\n [4, 4, -1, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1230 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -4, -3],\n [0, 2, 4, 1],\n [-4, -1, 1, -1],\n [2, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 48 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[1, -1, 1, -2],\n [-1, -1, -2, 2],\n [1, -2, 3, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 40 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, 2, 2, -1],\n [2, 3, 0, -2],\n [2, 0, 4, -3],\n [-1, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -146 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, 0, -2],\n [-1, 1, -2, 3],\n [0, -2, -4, -2],\n [-2, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1918 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, -4, -4],\n [-1, 3, -1, 2],\n [-4, -1, 4, 1],\n [-1, -3, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7872 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 2, -1, 1],\n [-2, -1, 1, -1],\n [-1, -4, -3, 4],\n [4, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 2],\n [2, 2, 2, 2],\n [0, 2, -4, 0],\n [2, 2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1282 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 1, -2],\n [0, -4, -2, 2],\n [1, -2, 3, -3],\n [-2, 2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 889 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -2, -4],\n [0, 3, 0, -2],\n [-2, 0, 1, 2],\n [-4, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, 4, 1, -1],\n [-2, -4, 3, -3],\n [1, 1, 2, 2],\n [3, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -21 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 1, 1, 1],\n [3, 3, 1, -2],\n [-1, -1, 2, 4],\n [0, -2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4952 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -2, -2],\n [0, 3, 4, 0],\n [-2, 4, 4, -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"
}
] | 1513 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 0, 2],\n [0, -1, -2, 0],\n [0, -2, -3, 0],\n [2, 0, 0, 4]], determine the value at position (4, 2).\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^3 where A is:\n[[3, -1, 2, -3],\n [-1, 0, 3, 4],\n [-1, -3, 4, 0],\n [2, 0, 0, -1]]?\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^4 where A is:\n[[-1, 0, 2, 2],\n [2, 2, 1, -4],\n [1, -3, -3, -4],\n [-1, 1, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2942 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, -2, -2, -3],\n [-4, -4, 2, 0],\n [1, -3, 1, -4],\n [2, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -29 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -3, 2],\n [0, 3, 2, -1],\n [2, 0, 2, -1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 301 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -2, 2],\n [0, -4, -1, 0],\n [-2, -1, 2, 0],\n [2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 843 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 2, 2],\n [4, -1, 0, 1],\n [2, 0, 2, 2],\n [2, 1, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2225 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 4, 1],\n [1, 1, -2, 2],\n [-4, 4, 1, -4],\n [3, -4, 1, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 768 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -1, -2, 3],\n [-4, 1, -3, -4],\n [-3, 1, 0, -3],\n [0, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1379 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-4, -2, 2, 2],\n [-2, 0, 2, 0],\n [2, 2, 3, 2],\n [2, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 34 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 1, 0],\n [-1, 3, 0, -3],\n [-3, 0, -1, -2],\n [2, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -101 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 0, -1],\n [0, 4, 0, 0],\n [0, 0, -4, -3],\n [-1, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2050 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 2, 0],\n [0, 2, 1, 0],\n [2, 1, -1, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 527 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -4, 4, 1],\n [-1, 4, 3, -3],\n [2, -2, -4, 0],\n [2, -4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1948 | 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 [3, -3, -2, -4],\n [-2, 3, 1, -1],\n [-4, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6932 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, 0, 0],\n [4, 0, -2, -2],\n [0, -2, 0, 0],\n [0, -2, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -912 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, 4, -1],\n [-1, -3, 2, -3],\n [-4, 1, 4, 3],\n [-4, -1, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1072 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 0, -4],\n [2, 2, -4, -1],\n [0, -4, 4, -3],\n [-4, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12284 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[1, 3, -1, 4],\n [2, 2, 0, -1],\n [1, 0, -1, -4],\n [0, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -4, 3, 2],\n [0, 3, 4, 1],\n [4, -2, -3, 0],\n [-3, 2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3310 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 4, 2],\n [2, -3, -1, 3],\n [4, -1, -1, -4],\n [2, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3514 | 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, 2, -2],\n [-1, 3, 4, 0],\n [2, 4, 0, -2],\n [-2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7694 | 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, -3, 0],\n [1, 3, 0, -4],\n [1, 3, 2, 1],\n [-2, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 621 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 1, 4],\n [2, -2, 0, 0],\n [1, 0, 0, -2],\n [4, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 352 | 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, 0, -4],\n [-3, 2, 3, 2],\n [3, 1, 4, 1],\n [-3, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7947 | MATH |
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