messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[0, -1, 2, 0],\n [-1, 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"
}
] | -6 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, 3, -2],\n [1, 4, 4, -4],\n [2, 2, -2, -3],\n [-3, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3842 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, -2, 1, -1],\n [-2, 3, -3, -3],\n [1, -3, 0, -2],\n [-1, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -79 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-4, -1, -3, 3],\n [3, -4, -4, 0],\n [-3, -3, 4, -3],\n [-1, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -75 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -3, -1, 2],\n [3, 2, 4, 1],\n [2, -4, 2, 4],\n [-4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 750 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -1, 0],\n [2, 2, -1, 2],\n [-1, -1, 4, 0],\n [0, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2732 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, 1, 0],\n [0, -1, -2, 1],\n [1, 4, 2, 3],\n [-2, -2, 2, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -88 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, -2, 4],\n [0, -3, 3, 2],\n [-2, 4, 1, 3],\n [4, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 34 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, -4],\n [-2, 3, -2, 2],\n [0, -2, -2, 2],\n [-4, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2483 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -3, -4],\n [2, 4, 1, 0],\n [3, 1, 1, 0],\n [-3, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -120 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[1, 0, 0, -2],\n [0, -2, -2, -4],\n [0, -2, -4, 2],\n [-2, -4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -92 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 3, 4, 0],\n [3, -2, -1, 4],\n [4, -1, -4, 2],\n [0, 4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 72 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, -3, -1],\n [0, 1, 4, -1],\n [-4, -3, 0, -2],\n [-2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -760 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, -4, 4],\n [1, 3, 1, 3],\n [2, -1, 0, 4],\n [3, 2, -2, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 376 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -4, 3],\n [-1, -3, 3, 4],\n [-2, 0, 0, 4],\n [3, 2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2978 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, -1, -3],\n [-3, -1, -1, 2],\n [4, 1, 2, 4],\n [-1, 4, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7280 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[0, 1, 0, 1],\n [1, -4, 2, -1],\n [0, 2, -2, 0],\n [1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 338 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[2, 0, 2, 1],\n [0, -2, -2, -2],\n [2, -2, -3, 2],\n [1, -2, 2, 3]]\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[[2, -3, 0, -2],\n [0, -3, -1, 2],\n [-1, 0, 0, 4],\n [-3, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4964 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 1, 2],\n [1, 3, 1, 0],\n [1, 1, 0, 2],\n [2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5137 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -4, 2],\n [2, -4, 4, -2],\n [-1, -2, 1, -3],\n [-4, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1613 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, -4, 0],\n [-1, 1, 0, 0],\n [-4, 0, 4, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -192 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 4, 0],\n [4, -2, -2, 4],\n [2, 3, 3, 1],\n [3, -2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 707 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[0, 0, 0, 2],\n [0, -3, 0, -1],\n [0, 0, 3, 2],\n [2, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -16 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, 4, -1],\n [-4, 2, -1, -3],\n [-2, 4, 0, 2],\n [4, 4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4409 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[0, 0, 0, 0],\n [0, -3, 2, 2],\n [0, 2, -3, -4],\n [0, 2, -4, 2]]\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, -3, 0, 1],\n [-3, -1, -3, 4],\n [0, -3, 1, -2],\n [1, 4, -2, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -141 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 3, -1, 0],\n [2, 1, 0, -2],\n [-2, -3, 0, -4],\n [1, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 365 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-3, -1, 4, 1],\n [0, -1, -2, -2],\n [4, 1, -3, 3],\n [-1, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 134 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, 0, 0],\n [-2, 4, 0, -1],\n [0, 0, -2, -1],\n [0, -1, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 476 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, -2, -2],\n [1, 1, 2, 1],\n [-2, 2, -3, 1],\n [-2, 1, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -273 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 2, 2],\n [-2, 4, 0, 3],\n [2, 0, -1, 4],\n [2, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3083 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -2, -4],\n [0, 4, 1, -4],\n [-4, 2, -1, -2],\n [-1, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1527 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -4, -2],\n [4, 4, -4, -4],\n [-4, 3, -1, 3],\n [-2, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23715 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[4, 4, -1, 0],\n [0, -2, -1, 4],\n [-3, 0, 1, 0],\n [1, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 119 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, -4, 2],\n [-4, 1, -2, 3],\n [0, -4, 4, -2],\n [-1, -3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1096 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 2],\n [2, 0, 1, 0],\n [0, 1, -2, -2],\n [2, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 603 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 0, 0],\n [2, 4, 0, -2],\n [0, 0, -3, -4],\n [0, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 812 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[1, 4, -2, -2],\n [3, 0, 4, 0],\n [-4, -2, 3, 1],\n [4, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 29 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[2, -4, 2, 0],\n [-4, 3, -3, -2],\n [2, -3, 1, 4],\n [0, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 172 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 2, 0],\n [0, 2, 2, -2],\n [2, 2, -4, 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"
}
] | 336 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -1, 0],\n [0, -2, 2, -2],\n [-1, 2, 1, 2],\n [0, -2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 368 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-3, 0, 2, 0],\n [0, -4, -4, 1],\n [2, -4, 3, 0],\n [0, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -32 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 3, 2],\n [-2, 4, -1, 4],\n [3, -1, 0, 0],\n [2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7046 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -1, 2],\n [-1, 4, 0, 0],\n [-2, -2, 1, -4],\n [-4, -2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 422 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-3, -2, 1, 0],\n [-2, 3, 4, 0],\n [1, 4, -1, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, -3, -1],\n [-2, -1, 3, -3],\n [1, -2, -4, -3],\n [4, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3208 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[4, -4, 1, 4],\n [-4, -2, 1, -1],\n [1, 1, 1, 0],\n [4, -1, 0, 1]]\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^4 where A is:\n[[1, 3, -4, -2],\n [-2, 4, -1, -1],\n [0, -4, 0, -1],\n [-3, 2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 136 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -4, 1, 4],\n [-3, 3, 1, 4],\n [3, 0, 2, -3],\n [-4, 3, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 113 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 1, -2, 3],\n [-1, 2, 0, 4],\n [2, -4, -1, -3],\n [2, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -4, 4],\n [2, 2, -1, -3],\n [-2, 4, 1, 1],\n [-4, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 871 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[2, -2, 1, 1],\n [0, -4, -2, 2],\n [-1, -1, 2, 1],\n [-2, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -22 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[3, 1, 3, -3],\n [4, 0, -1, -4],\n [0, 4, 1, 1],\n [-1, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 692 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, -1, 2, -4],\n [4, 0, 4, 0],\n [0, -3, 1, -2],\n [0, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -126 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, -2, 0],\n [1, 1, -2, 2],\n [-3, 1, 3, 3],\n [4, -4, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 48 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -3, -2],\n [1, -1, 2, -1],\n [-3, 2, -2, 0],\n [-2, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -288 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -3],\n [-4, 3, -4, 3],\n [-4, -1, 1, -1],\n [3, 1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 137 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, -1, 1],\n [-4, -3, 4, -3],\n [0, -3, -2, -1],\n [1, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1977 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, -4],\n [2, 0, -2, 2],\n [-2, -2, 3, 1],\n [-4, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3262 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -2, 3],\n [0, -2, 2, 1],\n [3, -4, 4, 0],\n [2, -2, -3, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 150 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, -2, 3],\n [0, -1, -4, -4],\n [4, 4, -2, 1],\n [3, -4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1478 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, -3, 3],\n [-1, 2, 1, -3],\n [-1, 4, -3, -2],\n [-1, 1, -4, -4]], determine the value at position (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, -2, 0, 0],\n [-2, -4, 1, -2],\n [0, 1, 3, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 950 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, 0, -2],\n [-1, -3, -1, -1],\n [0, -1, -1, 0],\n [-2, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 238 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 2, -4],\n [-2, 3, 1, 0],\n [2, 1, -2, 2],\n [-4, 0, 2, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 520 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, -2],\n [0, 1, 1, 0],\n [2, 1, -1, -2],\n [-2, 0, -2, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 681 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, -2, 1, 0],\n [-2, -3, 0, -1],\n [1, 0, 1, 2],\n [0, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 317 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 2, 1, 0],\n [-4, 2, 2, -4],\n [3, -4, -1, -1],\n [-4, 0, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2924 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, -2, 2, -2],\n [2, -2, 0, 2],\n [-2, -4, -4, -1],\n [-2, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 30 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, -3, -1],\n [-2, -2, 1, -4],\n [3, -4, 2, -4],\n [-4, 0, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1052 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, -3, -2],\n [-3, -4, 1, -1],\n [-2, 3, 0, 3],\n [-3, 3, 1, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 18 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, -2, 0],\n [2, 2, -2, 1],\n [-2, -2, -3, 1],\n [0, 1, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -235 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 2, 2, 3],\n [2, -2, 2, 2],\n [2, 2, -4, 0],\n [3, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, 2],\n [0, 2, -3, -3],\n [2, -3, 0, 2],\n [2, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 901 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -2, 0],\n [-4, -3, -2, -1],\n [-2, -2, 0, 0],\n [0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1645 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -3, -2],\n [4, -2, 4, 2],\n [-1, -3, 1, -2],\n [2, 4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -54 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, -3, -1],\n [-2, 2, -1, -4],\n [-1, 1, -4, -4],\n [0, 2, 1, -4]]\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 3th power of the matrix:\n[[-3, 0, 4, 0],\n [0, -2, -2, 0],\n [4, -2, -4, 4],\n [0, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2198 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, -4, 2],\n [3, 3, 4, 0],\n [-4, 4, -4, 3],\n [2, 0, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38358 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, 4, 0],\n [-2, -4, -3, -2],\n [4, 4, -4, -2],\n [-1, 2, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 559 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, 0],\n [3, 2, -2, -4],\n [0, -3, 1, 2],\n [-1, 3, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 106 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[1, 1, 4, 0],\n [1, 1, 2, -3],\n [-4, 3, -3, 0],\n [3, 1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 55 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -4, -3],\n [-3, -2, 3, 0],\n [4, 1, -1, -4],\n [1, -2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4555 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 2, 1],\n [0, -2, -4, -2],\n [2, -4, 1, -2],\n [1, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1135 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, -2],\n [2, 4, 0, -3],\n [-2, 0, 4, -1],\n [-2, -3, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8823 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[1, -2, 3, 0],\n [-2, -3, 4, 0],\n [3, 4, 3, -2],\n [0, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -242 | 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, -3, 0],\n [0, -3, 0, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 748 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, 2, 2],\n [-1, -1, -1, 0],\n [2, -1, 2, -2],\n [2, 0, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 676 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 1, 3],\n [-2, -4, -1, 2],\n [1, -1, -2, 2],\n [3, 2, 2, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 91 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 0, -3],\n [2, -4, 0, 0],\n [0, 0, 0, 0],\n [-3, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1258 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 2],\n [0, -4, -1, 3],\n [0, -1, -3, 0],\n [2, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 681 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 1, -3, 3],\n [4, -2, -2, -1],\n [-2, 3, 4, -4],\n [-1, 1, -3, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -386 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[4, 2, 1, 2],\n [2, 4, 0, 0],\n [1, 0, -3, 0],\n [2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 746 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -4, -2, -3],\n [4, -4, 3, -1],\n [4, 4, -4, 3],\n [1, 4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2463 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, 2, 2],\n [3, 1, 0, 2],\n [2, 0, -2, -1],\n [2, 2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1200 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, -1, -4],\n [-1, 1, 0, -4],\n [-2, -3, -1, -2],\n [-3, 4, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2846 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, 0, 2],\n [1, 4, 0, 0],\n [0, 0, -2, -2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1978 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -2, 2],\n [2, -4, 4, 0],\n [-2, 4, 0, -2],\n [2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 176 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[2, 2, 0, -3],\n [-3, -4, -4, -1],\n [2, 3, 4, -1],\n [2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 312 | MATH |
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