messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -3, -1, 2],\n [-3, -1, 0, 0],\n [-1, 0, 0, 4],\n [2, 0, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2151 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, -4, -3],\n [0, -3, 2, -1],\n [0, -3, 3, 1],\n [-1, 3, 3, 2]], determine the value at position (3, 4).\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 absolute values of all entries of the result:\nA =\n[[0, -2, 2, -3],\n [-2, 2, 2, 0],\n [2, 2, 0, -2],\n [-3, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 382 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, 4, 3],\n [1, -3, -1, -1],\n [-2, -2, 0, -3],\n [3, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -263 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, -1, 0],\n [-4, 2, 4, 1],\n [3, -1, -2, 1],\n [2, 3, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -182 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, -1, 2],\n [2, -2, 0, -1],\n [-1, 0, -2, -1],\n [2, -1, -1, -3]], determine the value at position (4, 1).\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 (1, 3) of the result:\nA =\n[[-1, 1, -3, 4],\n [1, -1, -2, 0],\n [-3, -2, 1, 1],\n [4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 149 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, -4, -3],\n [-2, -2, 0, 2],\n [-3, -2, 1, 0],\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"
}
] | 614 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 2, -4],\n [-4, 2, -2, -4],\n [4, -2, 1, 2],\n [2, 3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 336 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -2, 0],\n [0, -3, 1, 0],\n [-2, 1, 1, 1],\n [0, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 471 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, 2, 1],\n [-1, 3, 0, 1],\n [3, 3, 4, 3],\n [1, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9338 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[2, -4, -3, 4],\n [-4, 3, -1, -2],\n [2, -2, -3, 4],\n [-2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 408 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, 0, 4, 0],\n [4, 1, 3, 1],\n [-1, -2, 3, 0],\n [3, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -136 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, -2, -2],\n [4, -3, -3, 3],\n [4, -1, 4, 1],\n [-2, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 803 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 3, 0],\n [0, -3, 0, -1],\n [3, 0, -2, 0],\n [0, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1479 | MATH |
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[2, -2, -2, 0],\n [-2, 3, 1, -2],\n [-2, 1, -1, 0],\n [0, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -72 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, -2, 3],\n [0, -3, -4, 3],\n [0, -2, 2, 2],\n [0, 3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 667 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, -2, 0],\n [-2, 3, 2, -2],\n [-2, 2, 3, 3],\n [0, -2, 3, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -20 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, 4, 4],\n [-4, -3, -1, -2],\n [-4, -4, 1, 3],\n [4, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 242 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 1, 0],\n [0, 0, -4, 3],\n [-4, 1, -1, 3],\n [-3, -4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 467 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, 2, 3],\n [-4, -2, 1, -3],\n [3, 1, -1, -2],\n [1, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 176 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 1, -2],\n [0, -4, 0, 2],\n [1, 0, -2, -2],\n [-2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4938 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, -1, 2],\n [-4, 4, -3, -4],\n [3, 4, -2, 1],\n [0, -1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -210 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, 1, -3],\n [2, -1, 1, 2],\n [1, 1, -4, 0],\n [-3, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 446 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 3, 3],\n [2, 2, -2, -2],\n [2, -3, 0, 0],\n [1, 1, 3, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 35 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, 4],\n [0, -2, 3, -1],\n [0, 3, -4, -2],\n [4, -1, -2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -420 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, -2, -4],\n [3, -3, 0, -3],\n [0, -1, 1, -2],\n [0, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 668 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2, -4],\n [4, -4, -1, 0],\n [4, 0, 0, 0],\n [-4, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 100 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, -1, 1],\n [-3, -2, 1, 1],\n [-3, -2, 1, 3],\n [1, -4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3023 | 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, 0],\n [-3, 2, 2, -2],\n [2, 2, 0, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 701 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, 2, 1, -2],\n [-2, 1, 3, 2],\n [0, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 345 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -4, 0],\n [-1, 1, -2, 3],\n [0, -4, 3, -1],\n [3, 0, -3, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 96 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, 0, 0],\n [1, -2, 4, 0],\n [0, 4, -1, -4],\n [0, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1141 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, 3, 3],\n [0, -2, -3, -3],\n [-1, 4, 2, 4],\n [4, 4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1724 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-2, -1, -1, -1],\n [-2, 3, 1, -2],\n [-1, 2, -4, -2],\n [-4, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -10 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, 3, 1],\n [1, 4, -1, -4],\n [-3, 1, 0, 3],\n [3, -2, 1, -3]]\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[[1, 0, 0, 2],\n [0, -2, 1, 0],\n [0, 1, -1, -2],\n [2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 467 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, -4, 3],\n [2, 0, -1, 3],\n [3, -2, 2, -4],\n [3, -2, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 126 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 4, -3],\n [-2, -1, 2, -1],\n [-1, -1, 2, 0],\n [3, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 248 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 3, -1],\n [-4, 4, 3, 3],\n [3, 0, -3, 4],\n [-3, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -497 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -3],\n [2, -4, -1, -1],\n [0, -1, 0, -1],\n [-3, -1, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 99 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 2, -1],\n [3, -4, 1, -4],\n [-1, 1, 4, 1],\n [-2, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 559 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -3, -3],\n [3, -4, 0, -1],\n [1, 1, -4, 2],\n [0, -2, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 767 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[3, 4, 1, 2],\n [-3, -3, -4, 3],\n [1, 1, 3, -2],\n [-2, 3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -112 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-4, 0, -3, -3],\n [3, 4, -2, 1],\n [3, -1, -1, 4],\n [2, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 202 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 3],\n [-2, -2, -3, -3],\n [-3, 4, -2, -1],\n [0, 4, -4, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -124 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, -2, -2],\n [0, 2, 3, -2],\n [-2, 3, -3, 3],\n [-2, -2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -127 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 2, 4],\n [2, -2, -1, -2],\n [2, -1, -1, -2],\n [4, -2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -226 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -3, 4],\n [1, -3, -2, -1],\n [-1, -2, 4, -1],\n [-2, 1, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3296 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -2, -2],\n [2, 2, -2, 2],\n [-2, -2, 3, 2],\n [-2, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4629 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 2, 1],\n [0, 1, 0, 0],\n [2, 0, 0, 0],\n [1, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 357 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 2, 0],\n [0, 2, 2, 2],\n [2, 2, -1, 0],\n [0, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1822 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, -1, -4],\n [4, 4, 1, -4],\n [1, 0, 0, 1],\n [-1, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6534 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 1, -2],\n [-2, -2, -2, 1],\n [1, -2, -1, 2],\n [-2, 1, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1606 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 3, 0],\n [0, -1, -2, -2],\n [3, -2, 0, 0],\n [0, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -56 | 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, -4],\n [-2, 0, 1, 1],\n [3, 4, 0, -1],\n [-4, -1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1008 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-2, -3, -1, -3],\n [3, -2, 1, -2],\n [0, -1, 3, -2],\n [1, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -279 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -4, 0],\n [-4, 3, -2, 0],\n [0, -1, -4, -1],\n [3, -3, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2134 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 3, 0, -3],\n [-1, 0, 2, -3],\n [-1, -2, -3, -1],\n [-3, -3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -2, -2],\n [0, 1, 0, 2],\n [-2, 0, -4, 2],\n [-2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 80 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 2, -3],\n [0, -1, 1, -2],\n [2, 1, 2, 0],\n [-3, -2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2838 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -1, -3],\n [1, 4, 2, 0],\n [-1, 2, -4, 0],\n [-3, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 904 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[1, 1, 3, -3],\n [1, -4, 1, 0],\n [3, 1, 2, 2],\n [-3, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 125 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, -1, 2],\n [-1, -3, 4, 4],\n [-1, 3, -2, -4],\n [-1, 4, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2462 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0, 0],\n [1, 2, -2, 0],\n [0, -2, -3, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 943 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 3, 0],\n [-1, 3, -2, 4],\n [4, 1, 4, 3],\n [-1, -3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 314 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -2, -1],\n [0, -1, 0, 1],\n [-2, 0, 4, 0],\n [-1, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | 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 [3, -1, -2, -2],\n [-2, -3, -4, -3],\n [-3, 4, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7004 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 4, 0],\n [-3, 4, -4, 0],\n [-4, -2, 1, 4],\n [4, 3, -1, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -251 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 4, -3],\n [4, 0, -2, 1],\n [-3, -4, -4, -1],\n [1, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5645 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, 2],\n [2, 1, 2, 1],\n [0, 2, -4, -2],\n [2, 1, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -244 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, 2, 0, 4],\n [2, 4, -4, -1],\n [0, 0, -3, -3],\n [-3, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -363 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -3, 1],\n [0, 3, -2, -1],\n [-4, -3, 1, -4],\n [3, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 262 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -3, -2],\n [0, 0, -4, -4],\n [-3, -4, -1, 2],\n [-2, -4, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8721 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -2, 0],\n [-3, 3, -1, -4],\n [-2, -1, -3, -2],\n [0, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1372 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[4, -3, 1, 2],\n [1, -1, 4, -3],\n [2, 2, -1, 4],\n [3, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1246 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, -1, -4],\n [1, 4, -3, -3],\n [4, -2, 2, 0],\n [1, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6260 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -4, -3, 4],\n [0, -2, 1, -3],\n [-4, -2, 4, -2],\n [0, 0, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10158 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-4, 0, 2, 4],\n [-2, -3, 4, 1],\n [0, 2, -4, 4],\n [-3, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -44 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, -2, -2],\n [0, 3, -4, 4],\n [-2, -4, -2, 0],\n [-2, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -156 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, -2, 4, -1],\n [4, -2, -3, -1],\n [-3, -4, 1, 1],\n [-2, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -28 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -2, 0],\n [-1, 3, -2, -1],\n [-2, -2, -1, 2],\n [0, -1, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1148 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, 2],\n [3, 2, 1, -1],\n [-4, -2, 2, 4],\n [3, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 977 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 1, 2, 1],\n [-2, 0, 0, -4],\n [1, 1, -3, -4],\n [3, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -48 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, 4, 0],\n [-1, 0, -2, -2],\n [4, -2, -3, -3],\n [0, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8170 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, -1, 2],\n [-4, 0, 0, 3],\n [2, -2, 1, 0],\n [-4, 4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -51 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 2, 1],\n [0, 1, 2, 2],\n [2, 2, 0, 0],\n [1, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 453 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -1, 2],\n [1, 1, -3, -2],\n [-1, -3, -2, -1],\n [2, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -316 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[4, 1, -1, 0],\n [4, 2, -3, 4],\n [-1, -2, 1, -2],\n [4, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 42 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, 0, -2],\n [2, -2, 1, 0],\n [3, -2, 2, 2],\n [3, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1888 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -1, 2],\n [2, -4, -2, 0],\n [-1, -2, -1, 2],\n [2, 0, 2, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 282 | 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, 0, -1],\n [0, 1, -3, -3],\n [-1, 1, -2, -1],\n [0, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4430 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-4, 0, 0, 2],\n [0, 3, 1, 0],\n [0, 1, -1, 2],\n [2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 44 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, -2, -4],\n [2, -3, -2, 0],\n [-2, -2, 3, 2],\n [-4, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -47 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 0, 3],\n [1, 3, -3, 3],\n [4, 3, 4, 1],\n [3, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8684 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -3, 0, -3],\n [4, -1, -2, -4],\n [4, -4, 1, 1],\n [1, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 622 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-2, 4, 2, 0],\n [4, 4, 0, -2],\n [2, 0, 3, -1],\n [0, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -448 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, -2, 0],\n [-1, 3, -2, 2],\n [-2, -2, -3, -2],\n [0, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1006 | 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, 0, 0],\n [2, -4, -1, 2],\n [0, -1, -4, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4590 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, -2],\n [0, -2, 1, 0],\n [0, 1, 0, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 455 | MATH |
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