messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 2, -2, -4],\n [-2, -2, -3, 1],\n [-4, -3, 1, -4],\n [3, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4003 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, -2, 2, -4],\n [1, -3, 0, -1],\n [-3, 3, -3, -2],\n [-3, -1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 79 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 1, -3],\n [3, -4, 2, 4],\n [2, -4, 3, 4],\n [0, -2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1981 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, 3, 2],\n [-4, 2, 0, -4],\n [-3, -2, 2, -2],\n [1, 2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 774 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -3],\n [3, -2, -4, 3],\n [-2, 0, -4, -1],\n [4, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 920 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 0, -2],\n [3, 0, -2, 2],\n [4, 4, -3, 2],\n [1, -4, -1, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -16 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, 0, -1],\n [4, 4, -1, 2],\n [0, -1, -1, 2],\n [-1, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1022 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2, -2],\n [2, 0, -1, 0],\n [2, -1, 2, -2],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -84 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, 2, 0],\n [-4, -2, -2, -3],\n [2, 2, 2, 3],\n [-4, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2049 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 4, -2],\n [0, -4, -2, 0],\n [4, -2, 0, 2],\n [-2, 0, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2581 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 0, 0],\n [-4, -2, 2, 2],\n [-2, 4, -1, 4],\n [-4, -4, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1238 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 0, 2],\n [-2, 1, -1, -4],\n [1, -2, -2, -3],\n [2, -2, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11266 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 0, 2],\n [2, 0, -4, 2],\n [0, -4, 0, 2],\n [2, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5606 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 2, 0],\n [0, 0, 2, -2],\n [2, 2, 1, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 214 | 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, -2, -2],\n [0, 1, 3, -4],\n [-2, 3, 3, 2],\n [-2, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11016 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-2, -1, 2, 0],\n [1, -1, -1, 3],\n [-1, -2, 4, 2],\n [2, -4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -22 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, -2, -1],\n [2, 2, 0, 0],\n [-2, 0, -1, -4],\n [-1, 0, -4, 1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 453 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, -1],\n [-3, 3, 4, -2],\n [-1, -4, -1, -4],\n [-2, 4, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 722 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, -2, -1, -4],\n [3, 3, 4, -3],\n [4, -2, -2, 1],\n [0, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 35 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 2, -2],\n [2, -1, 0, -1],\n [2, 0, -3, 2],\n [-2, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 703 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, 2, 0],\n [0, 0, 0, -4],\n [2, 0, 0, 1],\n [0, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2346 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -4, -3],\n [-3, 4, 0, 2],\n [-4, 4, -1, -3],\n [0, 3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1083 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 3, 3],\n [-3, -4, 1, -3],\n [3, 0, -3, 4],\n [-3, 0, 3, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 107 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 2, 3],\n [0, -1, -3, -3],\n [1, 1, 0, 4],\n [-2, -1, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 289 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, -4, 0],\n [1, -1, 1, -3],\n [-2, -2, 1, 2],\n [-2, -1, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -50 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 4, 3, -1],\n [2, -2, 1, -2],\n [4, 3, 0, 2],\n [3, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3484 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 4, 2, 1],\n [4, 0, 0, -4],\n [2, 0, 3, 3],\n [1, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10220 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 2, 3],\n [1, 0, -1, 3],\n [1, -3, -4, 4],\n [-4, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4632 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 1, 2],\n [1, 0, 2, -2],\n [1, 2, -1, -3],\n [2, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -264 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -4, -1, -1],\n [-3, 1, -2, 1],\n [-2, -1, 3, 1],\n [0, -3, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -224 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-2, 0, -2, 0],\n [0, -4, 0, 1],\n [-2, 0, 0, 0],\n [0, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, 0, 2],\n [-1, -4, -2, -1],\n [0, -2, 0, 1],\n [2, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2198 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, -2, 3],\n [-3, 1, -2, -1],\n [0, -1, 0, 0],\n [3, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 446 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, 3, 0],\n [-3, -3, 0, -3],\n [0, -3, 3, 0],\n [4, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5702 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[3, 2, 1, -1],\n [2, 3, 0, 0],\n [1, 0, 2, -1],\n [-1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -6 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[4, -4, -2, 0],\n [-2, 0, 3, 1],\n [4, -4, -4, -3],\n [3, -2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 137 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[0, 0, -4, -4],\n [2, -1, 2, -3],\n [2, -3, 0, -3],\n [2, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 129 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, 0, 0],\n [2, -4, 3, -2],\n [0, 3, -3, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 51 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, -2, 1],\n [3, 1, 0, -2],\n [4, -3, -3, -1],\n [3, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 622 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-1, 0, -2, 3],\n [1, 3, 2, 1],\n [4, -2, -3, -3],\n [1, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 2, -2],\n [0, 0, -2, 1],\n [2, -2, -4, 0],\n [-2, 1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 770 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, -1, 0, -1],\n [-3, -2, 4, -4],\n [3, -1, 2, 1],\n [1, 4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -48 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 0, -3],\n [3, -2, 1, 4],\n [-3, 2, 2, 3],\n [4, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 115 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[1, 1, -2, 0],\n [1, -4, -2, 2],\n [-2, -2, 1, 2],\n [0, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 77 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -1, 3, 0],\n [0, -1, 2, -4],\n [1, -4, -3, -3],\n [2, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1962 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -4, 4, -3],\n [-1, 3, 3, -2],\n [-2, 4, 1, -3],\n [-4, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -30 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -3, 2],\n [2, -1, 0, -1],\n [-3, 0, 3, 2],\n [2, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 330 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -4, 0],\n [-4, -4, -4, -4],\n [-2, 2, 2, 2],\n [0, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1601 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, 0, -1, -2],\n [-2, -1, 2, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 903 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, -3, 2],\n [0, -4, 4, 3],\n [-3, 1, -3, 3],\n [0, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1585 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 2, -1],\n [1, -1, -3, 3],\n [0, -2, 2, 3],\n [1, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 21 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 1, 3],\n [3, 4, 3, -3],\n [-1, -3, 4, -4],\n [3, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4447 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, 1, 0],\n [2, -3, -2, 0],\n [1, -2, -1, -4],\n [0, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1305 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, -4, -3],\n [0, 1, 0, -3],\n [2, -2, 0, -2],\n [-2, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -54 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, 1, -2],\n [1, 3, 2, -4],\n [3, 1, 3, 1],\n [2, -1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10874 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 3, -2],\n [-2, 4, -1, 3],\n [3, -1, -4, 0],\n [-2, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1460 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 2, 1],\n [0, -4, 0, 0],\n [2, 0, -4, 0],\n [1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 44 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 2, 4],\n [2, 2, 0, -2],\n [-3, 4, 3, -2],\n [-2, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 488 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, 2, -2, -2],\n [2, 1, 2, -1],\n [-2, 2, -2, 0],\n [-2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -92 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -3, 2, -2],\n [-3, -3, -4, 2],\n [2, -4, -1, 4],\n [-2, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 17886 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 1],\n [0, 2, -1, 2],\n [2, -1, 4, -2],\n [1, 2, -2, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 325 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 0, -2],\n [2, 1, -2, 2],\n [0, -2, -2, 4],\n [-2, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20205 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -3, 4],\n [2, -4, 3, 0],\n [2, 4, 2, 2],\n [-4, 2, 1, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 372 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 0, 0],\n [-2, 0, -3, 0],\n [0, -3, 4, -2],\n [0, 0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -29 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, 4, -2],\n [1, 4, 2, -1],\n [4, 2, -4, 0],\n [-2, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 240 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 4, -4, -3],\n [-1, 2, 4, -2],\n [1, 3, -2, 3],\n [4, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 780 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 1, 4],\n [1, -4, 0, -2],\n [4, 1, -3, -2],\n [-1, 2, 4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4192 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-1, -2, -2, 0],\n [-2, -3, 2, -2],\n [-2, 2, 0, -1],\n [0, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 120 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 0, 4],\n [1, -2, -3, 2],\n [3, 3, 4, 2],\n [-3, 1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 871 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, -1, -2],\n [2, 2, -4, 2],\n [-1, -4, 4, 0],\n [-2, 2, 0, 0]], determine the value at position (4, 4).\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^4 where A is:\n[[-3, 0, 0, -1],\n [0, -1, 2, -4],\n [2, -1, 2, -2],\n [-4, -1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 654 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, -4, 1],\n [-1, -2, 1, 4],\n [-3, -4, -4, -2],\n [2, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4449 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 2, 2, -2],\n [2, 4, 1, 0],\n [2, 1, 1, 4],\n [-2, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 0, 4],\n [4, -4, 1, 1],\n [2, 4, 4, -1],\n [-3, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 720 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 2, 0],\n [0, 2, 1, -4],\n [2, 1, -3, 0],\n [0, -4, 0, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 28 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -2, 2],\n [0, 0, -2, 0],\n [-2, -2, 3, 1],\n [2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1481 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-1, 1, 1, -1],\n [-1, 0, 4, -2],\n [0, 1, 2, 2],\n [2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 40 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, 4, 2],\n [-2, 2, -2, -2],\n [4, -2, 2, -1],\n [2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 661 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 1, -3, 0],\n [1, 4, -1, 0],\n [-3, -1, 0, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 376 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -4, 1, -2],\n [2, 0, 4, 2],\n [-1, -3, 2, 4],\n [3, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -419 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 2, 2],\n [0, 3, 0, 2],\n [-2, 4, -3, -4],\n [3, -2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -99 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -2, -4],\n [0, 0, -1, -2],\n [-3, 0, 4, 0],\n [-4, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 920 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, 4, 0],\n [-1, -1, 2, -1],\n [4, 2, 4, -2],\n [0, -1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6219 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[0, 3, -1, 4],\n [0, 3, -2, -2],\n [3, 1, 2, -4],\n [-1, 1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -15 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 2, -2],\n [2, 4, -2, 0],\n [2, -2, -3, -1],\n [-2, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 89 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 4, -1],\n [-2, 3, 2, -1],\n [4, 2, 1, 0],\n [-1, -1, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 64 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[1, -2, -1, -2],\n [0, 0, -1, 1],\n [0, 2, 1, -2],\n [-3, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 61 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 0, -3],\n [-2, 3, -3, 0],\n [-3, 4, -4, 2],\n [0, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 361 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, 0, -2],\n [-2, 4, -3, -1],\n [0, -3, 1, 0],\n [-2, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 884 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -3, -2],\n [0, -2, 0, -2],\n [-3, 0, 0, 0],\n [-2, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -68 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-3, 0, 2, 3],\n [0, -3, 0, 0],\n [2, 0, 2, -4],\n [3, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 944 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 0, 4],\n [0, 4, 2, 0],\n [0, 2, 1, 3],\n [-4, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 536 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -4, -3, -3],\n [4, -4, -3, 2],\n [4, 0, -2, -4],\n [-4, -3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1990 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, -3, -1],\n [-3, 2, 1, 2],\n [1, 4, 4, -4],\n [3, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3678 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -4, -4, -2],\n [-4, -3, 0, -1],\n [1, -1, 4, 3],\n [-4, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1253 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -3, -4, 0],\n [-4, 3, 4, 3],\n [2, 4, -1, -1],\n [-3, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2732 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -4, 1, 2],\n [-1, 0, -3, 0],\n [0, 3, 0, 3],\n [2, 1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 974 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[4, -2, 2, -4],\n [-2, -4, -1, -2],\n [2, -1, 1, -3],\n [-4, -2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 275 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 2, -2],\n [-2, -4, -4, -2],\n [2, -4, 4, 1],\n [-2, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1332 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, -4, 0],\n [-2, 4, -1, 0],\n [-2, -1, 1, -2],\n [1, -3, 3, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -5 | MATH |
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