messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, -4, 4, 2],\n [-4, 3, 0, 1],\n [4, 0, 4, 2],\n [2, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 102 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, -2, 4],\n [-1, -4, -3, 0],\n [3, -1, -2, -1],\n [-4, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1013 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-1, 2, -2, -2],\n [2, 3, 0, 2],\n [-2, 0, 0, 1],\n [-2, 2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 60 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 0],\n [0, -4, 4, 0],\n [0, 4, 0, -2],\n [0, 0, -2, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -48 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 2],\n [0, 1, 0, 3],\n [2, 0, 3, 0],\n [2, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3918 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, 4, -2],\n [0, -3, 1, 2],\n [4, 1, -2, 2],\n [-2, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 50 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, 2, 0],\n [2, 0, -1, 4],\n [2, -1, 0, 2],\n [0, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7631 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -1, 1, -2],\n [-2, 4, 0, -4],\n [1, -4, 3, 1],\n [0, 3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 249 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, 2, 1],\n [-2, -2, 0, 1],\n [2, 0, 0, 0],\n [1, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 490 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 3, 4, 3],\n [-2, 1, -4, 3],\n [-1, -4, -1, 4],\n [-1, -4, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 56 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 2, 0],\n [0, 4, 0, -2],\n [2, 0, -2, -1],\n [0, -2, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 410 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -4, 4],\n [-2, 3, 1, 1],\n [-4, -4, -2, -1],\n [-1, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -189 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, -1, 3],\n [-2, -3, 0, 0],\n [-1, 0, -4, -2],\n [3, 0, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 188 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 2, 1],\n [2, -4, 0, 0],\n [2, 0, 0, -2],\n [1, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3277 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, 3, -4],\n [-2, -3, 3, -4],\n [0, 4, 3, 2],\n [3, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 736 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -1, -2],\n [0, -1, -2, 2],\n [-1, -2, 1, 2],\n [-2, 2, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 412 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-2, -4, 1, 1],\n [-3, 3, 0, -2],\n [-2, 2, 2, -3],\n [4, 0, 2, -2]]\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, 0, -3, -1],\n [3, -2, 0, -2],\n [-4, -2, 1, 0],\n [-3, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 992 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, 4, 0],\n [2, -4, -4, 4],\n [4, -4, 0, 0],\n [0, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 264 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, -2, 3],\n [4, 1, 0, -2],\n [3, 2, 1, -1],\n [1, 2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2, 2],\n [-2, 3, -1, 3],\n [-2, 4, -3, 1],\n [-2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -6 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 4, 2],\n [0, 2, 0, -1],\n [4, 0, -4, -1],\n [2, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -154 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^2 where A is:\n[[-4, 2, 0, 1],\n [2, 1, 0, -2],\n [0, 0, 0, 2],\n [1, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, 2, 3, -1],\n [0, 3, 4, -2],\n [0, -1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 292 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 4, 1],\n [0, 2, 1, 0],\n [4, 1, -1, 2],\n [1, 0, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 494 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -4, -4],\n [3, 0, -4, -4],\n [1, 0, 2, 2],\n [2, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 542 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 0, 2],\n [-4, 3, 3, 1],\n [0, 3, 3, 0],\n [2, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 177 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, 2, 1, 2],\n [-2, -4, -1, 0],\n [2, -2, -2, 3],\n [1, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -26 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 2, 0],\n [0, 3, 1, -2],\n [2, 1, -3, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 0],\n [0, 2, -2, -2],\n [0, -2, -3, 2],\n [0, -2, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 378 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -3, 0],\n [0, -1, -2, 4],\n [-3, -2, 4, 2],\n [0, 4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4642 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 4, 3],\n [3, 4, 0, 3],\n [-2, 3, 4, -2],\n [1, -2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 714 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-4, 1, -3, 1],\n [-4, -2, 2, 4],\n [1, 0, -3, 3],\n [4, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | 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, -1, 3],\n [-1, 2, 3, -2],\n [-3, 4, -2, 3],\n [3, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2022 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -1, 0, 2],\n [-1, -3, -1, -2],\n [0, -1, -3, 0],\n [2, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2250 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0, 1],\n [0, -4, 0, 3],\n [0, 0, 4, -1],\n [1, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 490 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, 0, 0],\n [-3, -3, -2, -2],\n [0, -2, 4, -1],\n [0, -2, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4635 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, -1],\n [3, -4, -4, 0],\n [3, -2, 3, 0],\n [-2, -4, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 920 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, 1, 1],\n [-3, 4, 2, -2],\n [-4, -1, 3, -2],\n [3, -4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -25 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[1, -1, 0, -1],\n [0, -1, -2, 1],\n [1, 3, 2, 3],\n [0, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -10 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, -2, -2],\n [0, 0, 0, 0],\n [-2, 0, -3, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 66 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 2th power of the matrix:\n[[-3, -4, -2, 0],\n [-4, 1, 0, -3],\n [-2, 0, 2, 0],\n [0, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^2 where A is:\n[[-3, 2, 4, 2],\n [2, 3, 2, -2],\n [4, -1, -1, -2],\n [0, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[0, 0, -3, 4],\n [0, 1, 2, 2],\n [-3, 2, -1, -1],\n [4, 2, -1, 2]], determine the sum of absolute values of all entries.\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[[-3, -2, 2, 0],\n [-2, -1, 2, -2],\n [2, 2, -3, 2],\n [0, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13188 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 2th power of the matrix:\n[[-3, -1, 0, -3],\n [-1, 4, 3, 1],\n [1, 3, 0, -1],\n [-2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 4, 4],\n [1, -1, -2, 1],\n [-3, 2, 1, 4],\n [-4, 3, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 180 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, 1, 0, 0],\n [0, 0, 4, -1],\n [0, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 213 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, 0, 2],\n [2, -4, 0, -2],\n [0, 0, -3, -2],\n [2, -2, -2, -4]]?\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[[2, -2, -3, 4],\n [3, -4, -2, 2],\n [-2, 2, -2, -2],\n [-4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 507 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -2, 0, -1],\n [-2, 3, 1, -2],\n [0, 1, 0, 2],\n [-1, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 43 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 1, -1],\n [-4, 2, 3, 1],\n [-4, -4, -1, 2],\n [-1, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -152 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[1, -2, -3, 2],\n [-2, -4, -1, 0],\n [-3, -1, 0, -3],\n [2, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 257 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-3, -4, 4, 2],\n [-4, -2, 0, 2],\n [4, 0, 0, -2],\n [2, 2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 108 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, 2, 2],\n [-2, 2, 2, -1],\n [2, 2, 3, 0],\n [2, -1, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1695 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -1, 2],\n [-2, -3, 0, -1],\n [-1, 0, -2, -2],\n [2, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 316 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 2th power of the matrix:\n[[4, 2, -3, -1],\n [3, -1, -4, 3],\n [2, -3, 1, 0],\n [-2, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -6 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-4, 2, -1, 2],\n [2, 3, -2, 4],\n [-1, -2, 4, 0],\n [2, 4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 87 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 3, -2, -4],\n [-1, -2, 1, -2],\n [-4, 4, 4, 3],\n [-1, 1, 3, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 279 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2, 2],\n [2, 3, -2, 2],\n [2, -2, 0, -3],\n [2, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1820 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 2, 0],\n [-1, 1, 2, 4],\n [2, 2, 1, 0],\n [0, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6187 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 2, 1],\n [-3, 1, 2, -3],\n [-4, 1, -2, 1],\n [-3, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 370 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 2, 0],\n [0, -2, 0, -2],\n [2, 0, -2, 2],\n [0, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 85 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 2, -4],\n [1, -1, -4, -3],\n [4, 0, -3, -4],\n [3, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4606 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-1, 0, 0, 0],\n [0, 3, -2, 2],\n [0, -2, 2, 1],\n [0, 2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, -2, 4],\n [4, -1, -4, -4],\n [4, -1, -3, 3],\n [-4, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -51 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, 4, 3, 4],\n [2, 1, -4, 2],\n [-1, -1, 4, -3],\n [-3, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 145 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-2, -3, -1, 3],\n [-3, 1, 1, -2],\n [4, -3, -4, 4],\n [3, 1, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 94 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, -3, -1],\n [2, 1, 0, 1],\n [-4, 4, 1, 4],\n [0, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 149 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 4, 1, 4],\n [-1, -3, 0, 1],\n [-3, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 212 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[0, -2, 3, 2],\n [-2, 3, -3, -2],\n [3, -3, 0, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -15 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, 0],\n [-1, 0, 3, 4],\n [-1, -1, -3, -4],\n [4, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 101 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-4, 1, -1, -1],\n [-2, 4, -4, -3],\n [4, -2, 2, 3],\n [-3, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -40 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[4, 2, 0, 0],\n [2, -1, -1, 2],\n [0, -1, 1, 3],\n [0, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 92 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-4, -3, 1, 4],\n [1, 2, 2, 4],\n [1, -1, 2, -2],\n [-3, -1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -68 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-4, -3, -2, 1],\n [-3, -3, -1, 1],\n [-2, -1, 3, 0],\n [1, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[1, 0, -1, -2],\n [0, 4, 1, -2],\n [-1, 1, -4, -2],\n [-2, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -66 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -3, 0, -1],\n [-3, 0, 0, -3],\n [0, 0, -1, -2],\n [-1, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4077 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, 0, 2],\n [2, 0, 0, 4],\n [0, 0, -3, -3],\n [2, 4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 98 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, -3, -1],\n [2, -1, 0, 1],\n [-3, 0, 3, -2],\n [-1, 1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -544 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 2, 0],\n [1, -4, -2, -4],\n [1, 2, 0, 3],\n [-4, 2, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1972 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -2, 0, -1],\n [-2, 1, -2, -1],\n [0, -2, 2, 0],\n [-1, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 60 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 0, 2],\n [-1, 2, -1, 0],\n [0, -1, 4, 0],\n [2, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -27 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 2, 0, -2],\n [2, 3, 0, 0],\n [0, 0, -4, 2],\n [-2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 39 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 1, -4],\n [-2, -4, -2, 2],\n [1, -2, 2, -2],\n [-4, 2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -469 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, -1, 0],\n [0, -4, -2, -4],\n [-2, 3, 4, 1],\n [3, -4, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14558 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, -3, 4],\n [1, -4, -1, 3],\n [3, 1, 4, 2],\n [1, 1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4838 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[1, 4, 0, 1],\n [-2, 3, 4, -4],\n [-4, -4, 2, 2],\n [3, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -36 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, -2, 0],\n [2, 4, 1, 3],\n [-2, 1, 1, -2],\n [0, 3, -2, -4]], determine the value at position (1, 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[[2, -3, -2, -3],\n [1, -1, 3, -3],\n [-3, -2, -3, 0],\n [0, -4, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 244 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 2, -3, 2],\n [4, 1, 3, -1],\n [4, -2, -3, 2],\n [4, -4, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1132 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[2, 0, 0, 0],\n [0, 0, 2, 2],\n [0, 2, -1, -3],\n [0, 2, -3, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 1, -2],\n [2, 2, 0, -2],\n [1, 0, 2, -2],\n [-2, -2, -2, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 28 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -3, 4, 0],\n [-3, 1, -4, -1],\n [4, -4, 1, 2],\n [0, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3670 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0, 2],\n [0, -3, 0, -2],\n [0, 0, 1, 2],\n [2, -2, 2, -3]]\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^2 where A is:\n[[-3, 3, 0, 0],\n [3, 4, 1, 1],\n [0, 1, -4, 4],\n [0, 1, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 98 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 4, 1, -1],\n [4, -4, 0, 2],\n [1, 0, 0, 2],\n [-1, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 210 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, -3, 1],\n [-3, 3, -2, 4],\n [4, -4, 2, 4],\n [-3, 2, -4, -3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -637 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, -3, -4],\n [0, 0, 0, 0],\n [-4, 3, -3, 4],\n [3, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, 0, -2],\n [0, -1, -2, 0],\n [0, -2, 1, 1],\n [-2, 0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 50 | MATH |
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