messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 0],\n [0, 0, 0, 4],\n [0, 0, 2, 2],\n [0, 4, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3470 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 1, -2],\n [-1, 3, -1, 0],\n [4, -3, 0, 3],\n [2, 0, -4, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 219 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, -1, 0],\n [1, -2, 0, -2],\n [-2, -4, 0, 2],\n [-2, 4, 2, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -27 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 4, -4],\n [3, 3, 2, -3],\n [-3, 0, 4, -1],\n [1, 0, 3, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, 4, 2],\n [1, -1, 0, 2],\n [4, 0, 2, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 886 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-1, 3, 3, -3],\n [-1, 3, 0, 4],\n [-1, -3, -4, 4],\n [1, -2, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 27 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, 0, 0, -2],\n [0, -3, 3, 0],\n [0, 3, -3, 0],\n [-2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -3, 1, -2],\n [0, -2, 2, 2],\n [-1, 4, 4, 3],\n [-2, -4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4250 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, -3, -2],\n [3, 1, -3, 1],\n [-2, 3, -2, 0],\n [2, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -134 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, -3, 2],\n [-1, -2, 3, 1],\n [-2, 1, 4, 2],\n [3, -1, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 292 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-1, 0, 1, 0],\n [0, -1, -2, -1],\n [1, -2, -2, 2],\n [0, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -22 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -3, 3, -3],\n [-2, -3, 0, -2],\n [-2, 0, -3, -2],\n [4, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -580 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, -2, 0],\n [0, -3, 1, 0],\n [-2, 1, -4, 2],\n [0, 0, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 564 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 1, 3, -1],\n [-1, 4, 0, 1],\n [-3, -4, 0, -2],\n [-3, 4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 553 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, 3, 1],\n [4, 1, -1, 4],\n [-3, -1, -1, -3],\n [1, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 438 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -2, -2],\n [0, 2, 0, -3],\n [3, 2, -3, 2],\n [0, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 338 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, -4, -1],\n [4, 0, 3, 4],\n [4, -3, -3, -3],\n [-4, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3394 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, 1, 0],\n [-4, -2, -4, -4],\n [-1, 1, -4, 0],\n [-1, -4, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6571 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -3, 4],\n [2, -1, -4, -4],\n [-1, 3, -3, 4],\n [-4, -3, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1746 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-4, 4, -3, -2],\n [4, -2, -1, 0],\n [2, 1, 2, -2],\n [0, 4, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -37 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 0, 0],\n [1, -2, 0, 0],\n [0, 0, -4, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 282 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 0, -3],\n [-1, 4, 0, 4],\n [0, 0, 3, -2],\n [-3, 4, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -393 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, -2, -4],\n [0, -2, 0, -2],\n [-2, 0, -1, 0],\n [-4, -2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 673 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, -2],\n [2, -2, 2, 0],\n [0, 2, 4, -3],\n [-2, 0, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1722 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-3, 0, 0, 2],\n [0, 1, 0, -2],\n [0, 0, 3, -2],\n [2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 50 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, 0, -4],\n [2, -2, 0, -1],\n [0, 0, 1, 0],\n [-4, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 151 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -4, 4],\n [-4, 4, -2, -1],\n [2, 0, -1, 2],\n [0, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 952 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 1, 3],\n [0, 0, 2, 2],\n [1, 2, -1, -3],\n [3, 2, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7039 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 0],\n [-2, 0, 0, 2],\n [2, 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"
}
] | 1485 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -4, 4, 3],\n [1, -4, -2, -4],\n [-2, 1, -2, -3],\n [1, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 879 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, 2, -2],\n [4, 3, -2, -2],\n [4, 2, -2, 3],\n [0, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 21 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 3],\n [0, -3, -4, 0],\n [2, -4, 1, -2],\n [3, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 46 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -4, -4, 4],\n [0, 3, 4, -2],\n [-2, 1, -4, 2],\n [3, -3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15768 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, -2, 1],\n [-2, 1, 0, -4],\n [-2, 0, 2, -2],\n [1, -4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -67 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -2, 3],\n [-4, 2, -4, -3],\n [3, 3, 1, -1],\n [4, 1, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 799 | 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, 1, -2, 0],\n [-2, -2, 4, -2],\n [-2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 665 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -4, 0, 3],\n [-2, -3, -1, 4],\n [-2, -2, -1, 0],\n [2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2938 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, -2, 1],\n [-2, -1, 0, 2],\n [-2, 0, -2, 3],\n [1, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -59 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -4, 4],\n [3, -2, 2, 4],\n [-1, 3, -2, -3],\n [-3, -4, 4, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1580 | 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, -2],\n [0, 4, 3, -3],\n [0, 1, -4, -3],\n [4, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9005 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, 0],\n [0, -2, -2, 0],\n [-1, -2, -3, 0],\n [0, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1880 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, -2, 0, -2],\n [-2, -4, -1, 0],\n [0, -1, -2, -1],\n [-2, 0, -1, 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^3 where A is:\n[[-1, -2, 0, 0],\n [-2, 4, -4, -1],\n [0, -4, -4, 0],\n [0, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -529 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 4, 2],\n [1, 2, -4, 3],\n [-1, -4, 0, 2],\n [0, -1, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 895 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[4, 2, -2, -3],\n [4, -1, 3, -2],\n [1, -4, -4, -2],\n [1, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 143 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, 0, 2, -1],\n [0, 1, -2, 2],\n [2, -2, 4, -1],\n [-1, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -84 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -3, -4],\n [-1, 4, -1, 1],\n [-1, 1, -1, -3],\n [0, -2, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2588 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[3, 0, -2, 2],\n [0, 0, -1, -2],\n [-2, -1, 0, -3],\n [2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -37 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-4, 2, 0, 3],\n [0, 0, 2, 1],\n [1, -1, 2, 3],\n [-4, 0, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -124 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[4, 2, 4, -3],\n [2, -3, 0, 0],\n [4, 0, -3, -4],\n [-3, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1008 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, -4, -3],\n [-4, 3, -4, -1],\n [-4, 1, -4, 0],\n [-1, 4, -1, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, -3],\n [0, -4, -2, -2],\n [0, -2, -3, 2],\n [-3, -2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7482 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, -4, -1],\n [-2, 0, -4, -2],\n [-4, -3, 1, 1],\n [-1, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5309 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, 0, -1],\n [-3, -2, -2, 0],\n [0, -2, 1, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 579 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 4, 1],\n [-2, -3, -4, -4],\n [-2, 4, -2, 4],\n [2, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2403 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, 1, 1],\n [3, 4, 4, -2],\n [-1, -3, 3, 1],\n [0, -2, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2812 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, -1, -2],\n [2, 0, 1, 0],\n [3, -1, 2, -1],\n [-3, 1, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1496 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, -3, 0],\n [0, 1, -3, 4],\n [2, -1, -2, 0],\n [3, 0, 0, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 364 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, -3, 3],\n [-1, 2, 1, 2],\n [2, 3, -2, 0],\n [1, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 644 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, -3],\n [0, 0, -3, 0],\n [-1, 2, 1, 1],\n [-2, -3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1759 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[0, 0, -2, 0],\n [0, -4, -2, 0],\n [-2, -2, -4, 2],\n [0, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -670 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, -2, 1, 0],\n [0, 1, -2, -3],\n [0, 0, -3, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -74 | 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, 3, 3],\n [4, 0, 0, -4],\n [-3, 3, -4, 1],\n [1, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15658 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[0, 0, 0, -2],\n [0, 4, -1, 0],\n [0, -1, 4, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -272 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, 4, 0],\n [1, -3, -2, 3],\n [-4, 2, 1, 3],\n [2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 812 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, 4],\n [0, 2, 2, 0],\n [-1, 2, 1, 2],\n [4, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2400 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[4, 0, -2, -3],\n [0, 2, 0, 1],\n [-2, 0, 4, 1],\n [-3, 1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 588 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -4, 3],\n [3, -2, 3, 0],\n [0, -3, 1, 2],\n [-4, 4, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52 | 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, -2],\n [2, 3, -1, 0],\n [-2, -1, 4, 4],\n [-2, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24622 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, -2, 0],\n [0, 3, -4, 1],\n [-2, -4, -1, 3],\n [0, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1064 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, 4, -3],\n [3, -3, -3, -2],\n [0, 1, 1, 3],\n [-4, 2, 0, 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[[-2, 3, -2, 4],\n [-1, -2, -2, 4],\n [4, 4, 0, 4],\n [1, 2, -1, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -40 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 4, 2, 0],\n [4, 1, -1, 1],\n [2, -1, -3, 1],\n [0, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4059 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, -1, -4],\n [4, 4, -1, 0],\n [4, -3, -4, -4],\n [1, 1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1212 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, 3],\n [4, 0, 0, -1],\n [4, 1, 1, -2],\n [-4, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 196 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, 4, 1],\n [-3, -1, -1, -1],\n [-3, -2, 2, -2],\n [-1, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 226 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, 4, 0],\n [-1, 1, 1, 1],\n [-1, -2, 0, 3],\n [0, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 384 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[0, -3, 2, -2],\n [-3, 4, 2, 0],\n [2, 2, 1, 0],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 0, -2],\n [2, -3, 4, -2],\n [0, 4, 3, 0],\n [-2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 328 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, 3, -2],\n [1, 1, 0, 1],\n [3, 0, -3, -2],\n [-2, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1318 | MATH |
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[0, 2, 2, -2],\n [1, -3, -4, -1],\n [3, 4, 1, 3],\n [3, -4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 206 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, -2, 2],\n [-4, -4, 1, -1],\n [0, 2, 4, 1],\n [4, -3, 4, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 664 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 1, 1, 2],\n [1, 0, 0, -1],\n [1, 0, 1, -2],\n [2, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 4, 3, 1],\n [0, -2, 4, 3],\n [1, 0, 1, 3],\n [-3, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -32 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[0, 0, 2, -4],\n [0, -1, -2, 0],\n [2, -2, -1, -4],\n [-4, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -96 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 2, -3],\n [-3, -1, -1, 1],\n [3, -4, 0, 0],\n [4, -3, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1228 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, -2, 2],\n [0, 0, -1, 1],\n [0, 3, -3, 1],\n [1, 1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 515 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0, -4],\n [2, -2, -1, 0],\n [0, -1, -4, 0],\n [-4, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1147 | 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, 0, 0],\n [0, 1, 0, 3],\n [0, 0, -1, 2],\n [0, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 375 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, -1, -4],\n [-4, 0, -4, 3],\n [-2, -3, 0, 3],\n [-3, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1237 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-2, 1, 3, 4],\n [-2, 4, -4, -2],\n [0, 1, -2, -3],\n [4, -4, 4, -4]]\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[[2, 2, -3, 0],\n [2, -1, 2, 4],\n [-3, 2, -4, 2],\n [0, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5543 | MATH |
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[3, -1, 4, -4],\n [-3, -1, -2, -3],\n [-4, 4, -2, 4],\n [3, 4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 219 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, -4],\n [0, -4, -2, 0],\n [0, -2, -3, 0],\n [-4, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -426 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[2, 3, 1, 3],\n [0, 4, 0, -4],\n [1, -1, -2, -3],\n [0, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, 4, -1],\n [1, -4, -2, 0],\n [4, -2, -1, 0],\n [-1, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 887 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 1, -2],\n [0, 0, -2, 0],\n [4, -1, -4, 0],\n [3, -1, 4, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 62 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 4, -2],\n [-3, -3, 1, 0],\n [1, 0, 0, 2],\n [2, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 194 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -1, 3],\n [0, -3, 0, 0],\n [-1, 0, -4, -2],\n [3, 0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -231 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -1, -1],\n [-2, -2, -2, 2],\n [1, 2, 0, 3],\n [-1, -2, 3, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -5 | MATH |
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