messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, 2, 0],\n [0, 1, 0, 1],\n [2, 0, 3, -2],\n [0, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 678 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[3, 4, -2, 1],\n [1, 0, -3, 0],\n [-3, 4, -3, -2],\n [-4, -3, -4, -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[[-2, 0, 2, 2],\n [-2, -3, -1, 4],\n [-3, -3, -2, 3],\n [-2, -4, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 565 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, 3, 3, -2],\n [1, -1, 2, -2],\n [-4, 0, 0, -3],\n [3, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -53 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 4, -1, 3],\n [3, 0, -1, 2],\n [0, 0, 3, -4],\n [3, 4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 531 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, -2, 4],\n [0, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -112 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[1, -2, -3, 3],\n [-4, 0, -4, -2],\n [-2, -3, -4, -2],\n [0, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 643 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[3, -2, -4, 0],\n [-2, -1, 0, 2],\n [-4, 0, 4, -1],\n [0, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 316 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, -2, -3],\n [2, 3, -2, 2],\n [4, 3, 0, -3],\n [4, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1686 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[3, 1, 0, 1],\n [4, -2, -2, -2],\n [-2, -2, -4, -3],\n [-4, 3, 3, -4]]\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[[4, 0, 3, -3],\n [0, 0, 2, 0],\n [3, 2, 1, 0],\n [-3, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1653 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, -1, 2],\n [2, 4, 2, 3],\n [1, -1, -3, -3],\n [-2, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1526 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 3, 4],\n [-2, -1, 4, 4],\n [0, -1, 0, -1],\n [-3, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -310 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -4, -3],\n [-2, 3, 2, 1],\n [-4, 2, -4, -2],\n [-3, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2011 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 2, -2, -1],\n [2, 2, -1, -2],\n [-2, -1, 3, -2],\n [-1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -36 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, -4, -1, 2],\n [0, -1, 0, 2],\n [0, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 425 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 2, -3],\n [0, 4, 4, -4],\n [-3, 2, -4, -3],\n [-3, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1478 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 4, -2, 2],\n [-4, -3, -2, -3],\n [3, -2, 1, -1],\n [-3, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 725 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 4, 2],\n [0, -2, 0, 0],\n [4, 0, -2, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4757 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-1, 3, 1, 0],\n [3, 1, -3, 2],\n [1, -3, 0, -1],\n [0, 2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 82 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0, 1],\n [2, 4, 1, -1],\n [0, 1, 0, 0],\n [1, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 327 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[0, 4, -1, 2],\n [4, -2, 4, 2],\n [1, -3, -4, 2],\n [-2, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -78 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-3, 0, 0, 1],\n [0, 3, 2, -1],\n [0, 2, 1, -2],\n [1, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0, -1],\n [4, 3, -2, -4],\n [-2, -2, 3, -3],\n [-4, 2, 0, 2]]\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[[4, 2, 3, 0],\n [2, -1, 2, -2],\n [3, 2, 2, 2],\n [0, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9659 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -1, 0],\n [2, 2, 0, 0],\n [-1, 0, 4, -2],\n [0, 0, -2, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 4, -4],\n [-3, 1, -2, -3],\n [-4, 0, -3, 2],\n [-2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, 2, 0, -1],\n [2, -2, 1, 2],\n [0, 1, 4, -2],\n [-1, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 44 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -4, -4],\n [-3, -4, 3, 4],\n [2, 4, 0, 2],\n [4, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1100 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -4, 0, 4],\n [-4, -1, -4, 3],\n [3, -3, -3, 1],\n [-3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 334 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -3, -1, 0],\n [-3, 1, 0, -3],\n [-1, 0, -4, -1],\n [0, -3, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5398 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 3, 0],\n [-2, 0, 0, 0],\n [3, 0, 1, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 346 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, -4, -4],\n [4, 3, 3, 1],\n [2, 3, 4, 1],\n [3, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3101 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, -4, 0, -3],\n [1, 2, -2, 1],\n [4, -4, 0, -1],\n [1, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 68 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 1, 0],\n [4, 4, 3, -4],\n [2, 1, -2, 1],\n [0, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7973 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 0, 3],\n [0, -3, -2, 0],\n [0, -2, 0, -2],\n [3, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2242 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 1, 2],\n [-2, -2, -1, 0],\n [1, -1, -4, 0],\n [2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1437 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, 2, 1, 2],\n [2, 4, 0, 0],\n [1, 0, -1, 1],\n [2, 0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 44 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, -2, 2, 2],\n [-2, 3, -2, -1],\n [2, -2, 3, 2],\n [2, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 62 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 1, 1],\n [2, -3, -4, -2],\n [4, 0, -3, -4],\n [-2, 2, 4, -1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -130 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[2, 3, 0, 2],\n [3, 4, 0, 0],\n [0, 0, 4, 2],\n [2, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 160 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 0, -2, 4],\n [0, 3, 0, 2],\n [-2, 0, 2, -2],\n [4, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 68 | 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, 1, 4],\n [0, 3, 1, 2],\n [1, 1, -1, 0],\n [4, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3116 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -3, -1],\n [-2, -2, 1, 0],\n [-1, -4, 1, 4],\n [0, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 596 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 2, -3],\n [2, -2, 0, -3],\n [2, 0, -3, -2],\n [-3, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1268 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 1, -1, -2],\n [-2, 3, 0, -2],\n [-1, 2, 2, 0],\n [-4, 3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1108 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, -2],\n [0, -2, -4, -3],\n [-2, -4, -4, 4],\n [-2, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1035 | 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 [3, -4, -1, 3],\n [2, 2, -4, 2],\n [1, 4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3674 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, -2, 2, 4],\n [-2, -1, 1, 0],\n [2, 1, 3, -4],\n [4, 0, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 144 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, 1, -1],\n [4, -3, 3, 1],\n [-1, 3, -1, 2],\n [4, 4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -86 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, 0, 2],\n [1, 2, 0, 4],\n [0, 0, 2, 1],\n [2, 4, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 544 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 0, 2],\n [-1, -1, 0, -2],\n [0, 0, -3, 0],\n [2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 383 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, 1, -3],\n [0, 3, 4, 1],\n [1, -1, 0, 3],\n [-1, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2297 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-4, 1, -3, -3],\n [3, 0, -3, -4],\n [-4, 0, 2, 1],\n [-2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -132 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 2, 0],\n [-2, -2, 0, 2],\n [2, 0, 4, 0],\n [0, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2336 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, 0, -2],\n [-4, -1, 0, 0],\n [0, 0, 0, -2],\n [-2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -387 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, 3, -2],\n [1, -1, -2, 2],\n [-2, 3, -1, -3],\n [2, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 542 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, -1, 4],\n [3, 3, 1, -2],\n [2, 3, -4, 0],\n [4, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1030 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, 2],\n [0, 0, 2, 0],\n [0, 2, 1, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 163 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 0],\n [-1, -2, 2, 2],\n [-4, 4, 3, 0],\n [-3, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -80 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-4, 0, 2, 0],\n [0, 3, 2, 2],\n [2, 2, 1, -2],\n [0, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 50 | 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, -2, 2],\n [4, -1, 4, -3],\n [4, 2, 0, -4],\n [-3, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 712 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, -1, 2, -2],\n [-1, -4, 0, 4],\n [2, 0, -2, 2],\n [-2, 4, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 56 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, -1, 2],\n [2, -2, 1, 4],\n [-2, 0, 3, 0],\n [3, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 323 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, 1, 2],\n [0, 0, 2, -2],\n [1, 2, -1, 3],\n [2, -2, 3, -3]]\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 all entries of the result:\nA =\n[[0, 0, 2, 0],\n [0, -1, 2, -3],\n [2, 2, -4, 2],\n [0, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -98 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 3, -4, 1],\n [4, 3, 1, 3],\n [-2, 0, 2, -4],\n [4, 0, 4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1594 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, -1, 2, -4],\n [-1, -4, -1, -2],\n [2, -1, 2, -1],\n [-4, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -197 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 4, -2],\n [0, -1, 1, 2],\n [-4, 3, -1, -4],\n [1, 1, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 749 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 3, 0, -4],\n [-3, -1, 3, 3],\n [2, 2, -1, 3],\n [0, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -527 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, -2, 3],\n [1, 3, -2, 0],\n [-2, -2, 4, 2],\n [3, 0, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7950 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, -1, 2, 1],\n [-1, -3, -4, -3],\n [-1, -3, 0, -3],\n [1, -1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -10 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -3, -2],\n [2, -4, -2, -2],\n [-3, -2, -1, 2],\n [-2, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4968 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 4, 4],\n [4, -2, 0, -3],\n [4, -2, 0, -4],\n [0, -2, 4, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 184 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-2, 4, -1, -3],\n [3, -1, 4, 0],\n [-3, -1, -4, -4],\n [-4, 0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -283 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 1, 2],\n [0, -3, -3, 2],\n [1, -3, 4, 0],\n [2, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 148 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 3, 3],\n [-3, 1, -3, 4],\n [3, 2, -2, -3],\n [1, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8654 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, 2, -2],\n [3, -3, 0, 0],\n [2, 0, 4, -2],\n [-2, 0, -2, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 192 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, -2, 0],\n [0, 4, 0, 2],\n [-2, 0, 3, 0],\n [0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 981 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, 0, -4],\n [-1, 1, 2, 4],\n [-1, 0, -3, 3],\n [-1, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -96 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 3, 0],\n [2, -1, 2, 0],\n [3, 2, 0, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 260 | 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, 0],\n [0, 2, 2, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1686 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-2, 2, 0, 4],\n [2, 2, -4, 0],\n [0, -4, 2, 1],\n [4, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 736 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 2, 4],\n [1, -2, 0, 0],\n [-2, -2, 3, 0],\n [4, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 972 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -1, -4, -3],\n [3, 4, 2, 1],\n [0, -1, -2, 2],\n [-2, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -472 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-1, 4, 2, 2],\n [0, 2, -3, -4],\n [-1, -3, -4, -3],\n [-1, -3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 49 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 0, 0],\n [0, -4, 0, -1],\n [0, 0, 3, 3],\n [0, -1, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -92 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, -4],\n [3, 1, -4, -2],\n [-2, 0, 0, 4],\n [1, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -282 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -3, -4],\n [-2, 3, -4, 3],\n [-1, 3, 1, 0],\n [0, -1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 826 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, -4, 1],\n [-2, 1, 1, 1],\n [4, 0, -2, 0],\n [-4, -4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 0, -3],\n [-2, -3, 3, -2],\n [0, 3, 4, -4],\n [-3, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1928 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, -4, -3],\n [-3, 4, -3, -3],\n [2, 3, -3, -3],\n [1, 3, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4814 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 4],\n [2, -4, -2, -2],\n [0, -2, 3, 0],\n [4, -2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1547 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -1, 0],\n [-2, 3, 2, -2],\n [-1, 2, 2, 0],\n [0, -2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, -2],\n [2, -1, 1, 0],\n [0, 1, -2, 0],\n [-2, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -87 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, -1, 0],\n [0, -1, -1, 1],\n [-3, 2, -3, 0],\n [-1, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 526 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, 0, -2],\n [-2, 3, -1, -2],\n [0, -1, 2, 2],\n [-2, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 194 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, -3, -1, -1],\n [-2, -4, 0, 4],\n [2, 4, -4, 4],\n [3, -1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -862 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 0, 0, 2],\n [0, -2, 2, -2],\n [0, 2, 0, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -67 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, -4, -2],\n [2, -1, 0, 0],\n [-4, 0, -4, 1],\n [-2, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1077 | MATH |
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