messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 0, 2],\n [2, 2, -4, -2],\n [0, -4, -2, -2],\n [2, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2672 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-2, -2, 1, -2],\n [-2, -3, 0, 0],\n [1, 0, -1, 1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, 2, 0, 2],\n [2, 0, -2, -2],\n [0, -2, 4, -2],\n [2, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 42 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, -2, 0, -2],\n [-2, 3, 1, 3],\n [0, 1, -2, 1],\n [-2, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 132 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, -2, -4],\n [1, 1, -4, 0],\n [2, 0, 0, -2],\n [3, 1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 90 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, -4, -1],\n [0, 2, 0, -2],\n [-4, 0, 2, 1],\n [-1, -2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -11 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -2, -1],\n [-1, -2, -2, 4],\n [3, 4, 0, -2],\n [0, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -623 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, 0, -2],\n [1, -1, 0, 2],\n [0, 0, 1, 0],\n [-2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 22 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 2, -3],\n [0, -4, 2, 4],\n [2, 2, 3, -1],\n [-3, 4, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1930 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 3],\n [-2, -1, 2, 0],\n [0, 2, -2, 0],\n [3, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1021 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 0, -1, 0],\n [0, 2, 0, -3],\n [-1, 0, -4, 0],\n [0, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 1, 3],\n [-2, -2, -3, -3],\n [2, -4, -2, 3],\n [4, 3, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -38 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, -3, 1, 3],\n [0, 0, -2, -3],\n [-3, 1, -4, -4],\n [0, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 278 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 2],\n [-2, -2, 1, -2],\n [0, 1, 4, -2],\n [2, -2, -2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 29 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 3, 0],\n [-1, 0, 0, -2],\n [3, 0, -3, 4],\n [0, -2, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12295 | MATH |
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-2, 3, 4, -2],\n [-1, -4, -2, -3],\n [-2, 1, -3, 2],\n [-4, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 203 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 2, 2],\n [-2, -1, -4, 0],\n [2, -4, -4, -1],\n [2, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8415 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 2, 1, 2],\n [2, -1, -1, 0],\n [1, -1, -1, -2],\n [2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2658 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -1, -3],\n [2, 4, -4, 2],\n [-1, -4, -4, 2],\n [-3, 2, 2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1118 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 0, 3],\n [-4, 0, -3, 1],\n [0, 4, 1, -3],\n [1, 4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 718 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 0],\n [0, -1, 0, 4],\n [0, 0, -3, -3],\n [0, 4, -3, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 468 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, -4, 4],\n [1, -2, 3, 1],\n [-4, 0, 3, -3],\n [-3, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2794 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, -2, 0],\n [-1, 0, 2, 0],\n [-2, 2, -4, 0],\n [0, 0, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -28 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-1, -2, 4, -3],\n [4, 3, 0, -4],\n [-4, -1, -1, 3],\n [3, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 710 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 1, 2],\n [-1, 1, 2, 1],\n [-2, -4, -2, 1],\n [-4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1496 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[3, -1, -3, -3],\n [4, 4, 2, 0],\n [-3, 4, 4, 0],\n [-3, 0, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 348 | 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, 3, 0],\n [0, 1, -2, 0],\n [3, -2, 2, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3780 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, 0],\n [0, 3, 0, -3],\n [2, 0, 3, 0],\n [0, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1845 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -2, 3, 2],\n [-2, -1, 1, -1],\n [-3, -1, -4, -2],\n [-3, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 434 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -3, -3],\n [0, 3, -4, -2],\n [-1, 1, -2, 3],\n [-3, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 845 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, 1, 0],\n [0, -3, -1, 1],\n [0, -1, 3, 2],\n [4, -1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 498 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 0, -3],\n [1, -3, -4, -4],\n [-2, 3, -4, 2],\n [1, -1, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2048 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-2, 0, 3, 2],\n [0, 3, -2, -2],\n [3, -2, 3, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 177 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 2, 4],\n [2, -1, 1, 3],\n [3, -4, 1, -4],\n [3, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6220 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 4, 1],\n [-3, 1, -2, 1],\n [-3, -2, 3, 0],\n [1, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -406 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 0, -2],\n [0, -1, -2, 1],\n [0, -2, 2, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 401 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-2, 1, 0, 4],\n [1, 3, -4, -2],\n [0, 0, 1, 4],\n [1, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 1, 0],\n [0, 2, 1, -3],\n [1, 1, 2, -4],\n [0, -3, -4, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 156 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 1, -1],\n [2, 0, -1, 0],\n [1, -1, -4, 0],\n [-1, 0, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 125 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, 0],\n [0, -4, 0, -2],\n [0, 0, 3, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1010 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, 2, 4],\n [1, -3, 4, -1],\n [-2, -4, 2, 1],\n [-1, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 490 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, 1, 1],\n [-1, -3, -1, -4],\n [4, -2, -4, 0],\n [4, -1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4849 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 3, 2],\n [-2, 1, 0, 4],\n [3, 0, 2, -1],\n [2, 4, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 733 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 0, -1],\n [1, -3, -3, 0],\n [0, -3, 0, 1],\n [-1, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -187 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -1, 2, 0],\n [-1, 3, 1, 0],\n [2, 1, -4, 1],\n [0, 0, 1, -4]]\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, -3, 0],\n [2, 3, 1, 0],\n [-3, 1, -1, 2],\n [0, 0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 561 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 0, 2],\n [-2, 1, -2, 0],\n [0, -2, 3, 0],\n [2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[4, 2, 2, -2],\n [2, 3, -2, -2],\n [2, -2, -2, 0],\n [-2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -58 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 3, 0],\n [2, 1, -4, 4],\n [3, -4, -4, -1],\n [0, 4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13885 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 3, 2],\n [-2, -4, -1, 3],\n [-1, 4, 3, -4],\n [1, 2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -126 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, 3, 4],\n [4, -4, -4, -3],\n [-3, -4, -2, -4],\n [2, -1, 3, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 896 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-3, 1, -4, 1],\n [1, 1, -2, -2],\n [-4, -2, 4, 0],\n [1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 361 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 2, -2],\n [2, 4, 0, 4],\n [2, 0, 1, 0],\n [-2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 826 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 2],\n [0, -2, 0, -1],\n [0, 0, 2, 4],\n [2, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1139 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, 4, 1],\n [-3, 0, 2, 4],\n [1, 3, 2, -4],\n [1, 4, 3, -4]], 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 absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -3, 4],\n [2, -3, 0, 0],\n [-3, 0, -3, 2],\n [4, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1700 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 2, -1],\n [2, -4, 2, -2],\n [2, 2, -1, -2],\n [-1, -2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 873 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, 3, 2],\n [0, 0, 0, 4],\n [-1, 0, 1, 4],\n [3, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 348 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, -4, -1],\n [-4, -4, -4, -3],\n [-1, -1, -4, 0],\n [-4, 1, -1, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -761 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -1, 0],\n [0, 1, 0, 0],\n [-1, 0, 1, 0],\n [0, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 125 | 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, -1],\n [4, -2, 1, 1],\n [-4, -3, 0, -4],\n [-4, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3542 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-4, 4, -4, -4],\n [0, -2, -2, -2],\n [-1, 2, -1, 2],\n [-1, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 276 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[4, -2, 2, -1],\n [-2, 4, 0, 1],\n [2, 0, 0, 0],\n [-1, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -914 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 4, -1],\n [0, 2, 0, 0],\n [4, 0, -2, -2],\n [-1, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 46 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, 3, 3],\n [3, -1, -1, -3],\n [-4, 3, 0, 0],\n [0, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -112 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 2],\n [-2, -2, -2, -4],\n [-2, -2, 2, 0],\n [2, -4, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1035 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 1, 0, 0],\n [1, 0, -2, 0],\n [0, -2, -1, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 85 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-4, -3, 4, 1],\n [4, 2, 0, -2],\n [-1, -1, -4, 0],\n [-1, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -24 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, -4, -3],\n [-2, -4, -2, 0],\n [-4, -2, -1, 0],\n [-3, 0, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -925 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, -3, -2, 0],\n [-3, 3, 2, -2],\n [-2, 2, -1, 1],\n [0, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -115 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, -2, -2, -2],\n [-2, 3, 1, 0],\n [-2, 1, 4, -1],\n [-2, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 17 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, 4, 0],\n [-1, 2, -1, 0],\n [4, -1, -4, 2],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 84 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, -4, 3],\n [4, -4, -2, -4],\n [2, 0, -1, -3],\n [4, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8522 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, -1, 1],\n [0, -3, 3, 1],\n [-1, 3, -1, 2],\n [1, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 74 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 1],\n [-2, 3, 0, -3],\n [0, 0, -1, -2],\n [1, -3, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 962 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -1, -4],\n [0, 2, 3, -3],\n [4, 0, -4, -4],\n [4, 4, -3, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[4, 1, -4, -4],\n [1, 1, 0, -2],\n [-4, 0, -1, 0],\n [-4, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -48 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 0, 1],\n [-2, 0, -1, -2],\n [0, 3, -2, -3],\n [-4, -3, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 232 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, 2],\n [-2, -4, 1, 2],\n [2, 1, -1, 0],\n [2, 2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1411 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, -3, 3],\n [1, 4, 4, 4],\n [-1, -4, -1, 4],\n [0, 1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 66 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -2, 0],\n [-2, 3, 0, 2],\n [-2, 0, -2, 2],\n [0, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 67 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, -4, 1],\n [-4, 2, 3, -4],\n [1, 3, -3, 1],\n [-4, -3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -149 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -4, -2, 3],\n [-4, -4, -3, -4],\n [-1, -2, -1, -4],\n [0, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1446 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, 4, 0],\n [2, 1, -4, -2],\n [3, 0, 3, 2],\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"
}
] | 11584 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, -1, 3, 1],\n [-4, 4, 4, -4],\n [0, -3, -1, -1],\n [-1, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -28 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-1, 3, 4, 2],\n [4, -1, -1, -3],\n [2, -3, -2, -4],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 204 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[3, 0, 0, 4],\n [0, 1, -2, 2],\n [0, -2, 3, -2],\n [4, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1616 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 0],\n [-2, -4, -1, -1],\n [0, -1, 0, 0],\n [0, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3700 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -1, 3],\n [-4, 1, 3, 2],\n [-4, 1, -2, 2],\n [3, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1495 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 4, -4, -3],\n [4, -3, -2, 4],\n [2, -4, 2, -3],\n [-3, 3, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 126 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -4, 2, -1],\n [0, 0, -2, -1],\n [-3, -1, -1, 1],\n [-4, -3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2464 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -4, -3, -2],\n [-4, -3, 0, -1],\n [-3, 0, 1, 4],\n [-2, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2106 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, -1, 1],\n [-1, 3, 4, -3],\n [-1, -3, -1, 2],\n [-1, 4, 2, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 77 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, -4, -2, -1],\n [4, 1, 3, -1],\n [2, 1, -2, 4],\n [-4, -4, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -66 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, -2],\n [0, -2, -2, 0],\n [0, -2, 2, 2],\n [-2, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[4, 1, -1, -2],\n [1, 0, 0, 0],\n [-1, 0, -4, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -40 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, 0, -2, -2],\n [0, -3, 0, -2],\n [-2, 0, 0, -1],\n [-2, -2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -35 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[1, -4, 3, -3],\n [-4, -4, 1, 1],\n [-2, 4, -4, -2],\n [4, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -85 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, 1, -2],\n [1, -2, 2, -3],\n [-4, -1, 0, -1],\n [4, 0, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8588 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 0, 0, 0],\n [0, -1, 2, 0],\n [0, 2, -2, 1],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 33 | MATH |
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