messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 2, 0],\n [-3, -1, 0, 4],\n [2, 0, 2, 0],\n [0, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 747 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 2, -2],\n [-2, -4, 0, 0],\n [2, 0, -1, 2],\n [-2, 0, 2, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -120 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, 2],\n [0, -3, -1, 0],\n [2, -1, -4, 2],\n [2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4993 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, 4, 3],\n [2, -3, -3, -4],\n [-2, 3, 0, -2],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -345 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -2, -3],\n [-3, 1, 2, -2],\n [3, -4, 1, 3],\n [0, -3, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -525 | 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, -3, 1],\n [-1, -3, -1, 4],\n [3, 3, -2, 1],\n [-3, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 912 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, 1],\n [-1, -2, 0, 0],\n [4, 4, 0, -4],\n [-4, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -450 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 0, 1, 2],\n [0, 0, 0, -4],\n [1, 0, 0, -1],\n [2, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -120 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 3, 2],\n [0, 0, 2, 3],\n [-3, -3, 2, 1],\n [-1, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1467 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, -4],\n [0, -1, -2, 0],\n [0, -2, -3, 2],\n [-4, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1511 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 1, 1],\n [0, -1, -2, -2],\n [1, -2, 0, -2],\n [1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 299 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 1, 1],\n [2, -2, -3, 0],\n [1, -3, 3, 0],\n [1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 239 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, -3, -1],\n [-1, 3, -3, 0],\n [0, -2, 4, -3],\n [4, 2, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5166 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-4, 0, -4, -1],\n [3, 4, -1, 4],\n [-2, -3, -1, -3],\n [1, 0, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -144 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, 2, 0],\n [3, -3, -1, -4],\n [-3, -4, -3, -1],\n [-3, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4329 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -1, 0],\n [2, -4, 0, 4],\n [-1, 0, 2, -2],\n [0, 4, -2, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 498 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 3, 0],\n [0, 0, -4, -2],\n [3, -4, 4, 0],\n [0, -2, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 237 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, 0, 3],\n [0, -2, -4, 2],\n [-1, 1, 4, -2],\n [0, -4, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 623 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -1, 1],\n [2, 4, 3, -2],\n [0, -2, 0, 4],\n [0, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2107 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-2, -1, 0, -1],\n [-1, 2, 0, -2],\n [0, 0, -3, 0],\n [-1, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -34 | 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, 0, 4],\n [0, -4, 3, 3],\n [0, 3, 3, 3],\n [4, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13515 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 1, 0],\n [2, -3, 0, 0],\n [1, 0, 1, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 980 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -1, 0, -1],\n [-1, 4, -3, -2],\n [0, -3, 4, 0],\n [-1, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 970 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-2, 1, 1, 2],\n [-2, 4, 3, -2],\n [-4, -3, -2, 2],\n [3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 4, 3],\n [-2, -3, -1, 2],\n [3, 1, 3, -2],\n [2, -1, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 869 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 4, 3],\n [-1, 4, -4, -1],\n [2, -1, 1, -2],\n [1, -3, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -325 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, 1, -4],\n [-2, -1, 2, 4],\n [1, 2, 3, 0],\n [-4, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2866 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[3, -4, -4, -1],\n [4, 0, 2, -4],\n [3, -1, 4, 4],\n [0, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 50 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, -3, -3],\n [4, 2, -2, 2],\n [-3, -2, 1, 2],\n [-3, 2, 2, 0]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 703 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, 3, 1],\n [-2, 2, 2, -1],\n [3, 2, 1, -2],\n [1, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 470 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 1, 2, 0],\n [1, -3, 1, 0],\n [2, 1, -3, -3],\n [0, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1018 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, -1, 4],\n [3, -1, 4, -1],\n [4, -4, 2, -3],\n [4, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1516 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-3, -2, 0, -2],\n [4, -2, 0, -3],\n [4, 1, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 210 | 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, -2],\n [0, 3, 2, -4],\n [2, 2, 0, 4],\n [-2, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16485 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, -3, 0, -4],\n [2, -4, -2, -3],\n [1, 4, 2, 0],\n [-1, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 344 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 4, -3],\n [-3, 4, 3, 3],\n [-4, 0, -2, 1],\n [-1, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6809 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 1, 0],\n [1, 4, 0, 0],\n [1, 0, -2, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 153 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -3, 3, -1],\n [4, 1, -4, -2],\n [-4, 2, -1, -1],\n [0, -1, -1, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, 1, -1, -3],\n [1, -3, 2, 0],\n [-1, 2, -4, 0],\n [-3, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, -2, 0],\n [-1, 1, 1, 3],\n [-2, 1, 0, -1],\n [0, 3, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1967 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, -2, -1],\n [4, 1, 3, 3],\n [-2, -2, 3, 0],\n [-1, -4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2522 | 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, -4, -2, 0],\n [4, -2, 3, -2],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9161 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -1, 2],\n [-1, 1, 1, -3],\n [-1, 1, -4, -2],\n [2, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -208 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, -2, 3],\n [-3, -2, -1, -4],\n [-2, -1, 0, 0],\n [3, -4, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1111 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[3, -1, 1, 4],\n [3, 2, -4, 1],\n [2, 3, 2, -3],\n [1, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 256 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, 1, -3],\n [-1, 4, -3, -1],\n [1, -2, 0, 3],\n [-1, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5326 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, 0, 1],\n [-2, -1, 0, -2],\n [0, 0, 3, -3],\n [1, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -304 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 2, 2],\n [0, 2, 3, 0],\n [2, 3, -1, 2],\n [2, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 717 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, 0, -3],\n [0, 1, 4, -3],\n [-3, 3, -4, 2],\n [3, -2, 0, 3]], determine the sum of all entries.\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, 2, -2, 0],\n [2, 0, -2, -3],\n [-2, -2, 0, 1],\n [0, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -198 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 0, -2],\n [-2, 0, 2, 0],\n [0, 2, 1, 2],\n [-2, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 322 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 1, 2],\n [-3, -1, -4, -2],\n [1, 1, -4, -2],\n [2, -3, 3, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 75 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -4, 0],\n [1, 1, 1, -3],\n [-4, -3, 4, 0],\n [3, -2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 42 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -3, 3],\n [3, 1, 1, -2],\n [-4, 2, -4, 1],\n [0, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -127 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 1, 1],\n [1, -4, -3, 3],\n [1, -3, 2, 4],\n [1, 3, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15750 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 1, -2, -1],\n [1, 0, 2, 0],\n [-2, 2, -3, -2],\n [-1, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2969 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -2, -1],\n [-2, 4, -2, 1],\n [-2, -2, -2, 0],\n [-1, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -299 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 3, -2],\n [-3, -2, -1, -1],\n [4, 4, 1, -2],\n [-2, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 673 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 3, 0, -1],\n [-2, 4, 1, 0],\n [-1, 4, 2, 0],\n [-1, -3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 660 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, -2],\n [2, -1, 0, 0],\n [0, 0, -1, 3],\n [-2, 0, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7119 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -3, 0, -2],\n [2, -3, -2, -4],\n [-4, 1, -4, 2],\n [3, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3042 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-2, 0, 0, 1],\n [0, 0, 0, 0],\n [0, 0, 2, 0],\n [1, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, -1, 2],\n [4, -4, -2, -3],\n [-2, -2, 0, 1],\n [1, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 121 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, 0],\n [2, -2, -1, 2],\n [0, -1, 0, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 132 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, -4, -1],\n [3, 0, 2, -2],\n [3, 1, 0, 1],\n [2, 3, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 148 | 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, 0, 3],\n [1, -1, 1, -4],\n [0, -4, 2, 0],\n [3, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 578 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -3, -2, 0],\n [-2, -2, -4, -1],\n [0, 0, -1, -2]]\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 3th power of the matrix:\n[[3, 0, 1, -1],\n [0, -1, 0, 3],\n [1, 0, 4, -2],\n [-1, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1030 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, -3, -2, 0],\n [0, -2, 0, 4],\n [0, 0, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4146 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, -1, 2],\n [2, 1, -4, 3],\n [2, 4, 1, 1],\n [2, -2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 398 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 3, 1],\n [-1, 2, 0, 2],\n [-1, 2, -2, -1],\n [4, 2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 249 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -3, 2],\n [-2, 4, 4, 3],\n [1, -2, 0, -3],\n [-1, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3653 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, -3, 2, -2],\n [-3, -2, -2, -3],\n [-4, -2, 4, 4],\n [0, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -164 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 0, -2],\n [-2, 4, -4, 1],\n [0, -4, -4, 0],\n [-2, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1345 | 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, -3, 4],\n [-1, -3, 1, 4],\n [3, -2, 3, -3],\n [2, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3006 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -4, 0],\n [-2, -1, -1, -2],\n [-4, -1, -2, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14565 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, -4, 0, 1],\n [0, 0, -2, 2],\n [-2, 1, 2, 0]]\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, -4, -2, 2],\n [-1, 0, -2, -3],\n [0, 1, 4, 2],\n [-3, -4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1417 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-3, 2, -2, 0],\n [2, 1, -2, 0],\n [-2, -2, 2, 2],\n [0, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -46 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 3, 2],\n [-2, 1, -3, -1],\n [-3, -1, 2, 0],\n [2, -3, -4, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 424 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 3, -4],\n [-3, 2, 2, 1],\n [3, 2, -3, 3],\n [-4, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 229 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, 3, 1],\n [-3, 0, 4, 0],\n [-4, -3, 3, 3],\n [0, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 921 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -1, 3],\n [1, -2, -4, -4],\n [-4, -4, -1, 2],\n [4, -1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1664 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, -4],\n [-2, -4, 2, 0],\n [0, 2, -2, 0],\n [-4, 0, 0, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 1, 0],\n [0, 1, -2, 0],\n [1, -2, 2, 3],\n [0, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 433 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[2, 4, -2, 1],\n [-2, -4, 2, 3],\n [3, -1, 1, 2],\n [-2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 158 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 1, 2],\n [-2, 2, 1, -1],\n [1, 1, -4, -1],\n [2, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -36 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 0, 2],\n [0, 1, 2, -3],\n [0, 2, 3, -1],\n [2, -3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2888 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, 1],\n [4, 2, -4, 3],\n [-1, -3, 1, -3],\n [-2, 1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 777 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, -1, -2, -1],\n [-1, 4, -1, 1],\n [0, 0, -2, 1],\n [3, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 1, 2, 0],\n [1, -4, 1, 1],\n [2, 1, -4, 0],\n [0, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -34 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 0, 2, 0],\n [0, 1, 0, 0],\n [2, 0, -1, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, 0, 4],\n [-4, 1, 4, -1],\n [-2, 0, 2, 2],\n [1, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 100 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[3, 1, 2, -2],\n [1, 0, 1, 0],\n [2, 1, -4, -2],\n [-2, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -338 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 1],\n [0, 3, -1, -3],\n [0, -1, -1, 1],\n [1, -3, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 740 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 0, 1],\n [0, 4, -2, 3],\n [0, -2, -4, -1],\n [1, 3, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4212 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, -1, -2],\n [1, 4, -1, 2],\n [4, 4, 1, 0],\n [-3, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1040 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, 0, 2],\n [-1, 4, 0, 2],\n [0, 0, -3, -2],\n [2, 2, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 264 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[3, -1, 1, -4],\n [1, -2, 0, 3],\n [2, -2, -3, 0],\n [-1, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 247 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, -4, 1],\n [-4, 1, 0, 0],\n [-2, 1, 3, -4],\n [4, 4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1433 | MATH |
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