messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, -1, -4],\n [3, 1, 0, 4],\n [-3, 1, -2, 3],\n [2, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1585 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 1, -2, 1],\n [-2, -3, -1, 1],\n [-4, -2, 3, -2],\n [-2, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5749 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, -1, -4],\n [-1, 2, 1, -4],\n [-2, 3, 4, -3],\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 sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -4, -1],\n [3, 1, -3, 3],\n [-2, 0, 3, 0],\n [-4, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 592 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-2, 0, 0, 1],\n [0, 0, 2, 1],\n [0, 2, 1, -2],\n [1, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -34 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, -2, 2],\n [4, -4, 4, 2],\n [1, -1, 3, 2],\n [-2, 0, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -358 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, -3],\n [0, 4, 0, 2],\n [0, 0, 3, 2],\n [-3, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1774 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 4, -1],\n [-3, 3, 3, -2],\n [4, -4, -2, 4],\n [1, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 110 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 4, -1, 1],\n [-3, 0, 3, -4],\n [3, -4, 0, -1],\n [2, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3755 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -2, -2, 0],\n [-2, 0, 3, -3],\n [-2, 3, -3, 1],\n [0, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5209 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -1, -3],\n [2, 3, 2, -4],\n [0, 1, 2, 3],\n [-1, 1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 0, 0],\n [-3, 2, 3, 3],\n [-1, 0, 1, -4],\n [-4, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -149 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, 4, 4],\n [-1, -1, 1, -1],\n [4, 4, -4, 0],\n [1, 0, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14812 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, -1, -4],\n [-3, -3, -3, -1],\n [-1, -3, -2, 0],\n [-4, -1, 0, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2055 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 4, 2, 2],\n [4, 0, 0, 1],\n [2, 0, -4, 1],\n [2, 1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1023 | 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, -1, 0],\n [0, -1, -2, 4],\n [2, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1062 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-4, 4, -4, 1],\n [2, -4, 2, 3],\n [3, -4, -3, 3],\n [-1, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -20 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-1, 2, 0, 1],\n [2, -3, -1, -3],\n [0, -1, -1, 2],\n [1, -3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 78 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, 0, -1],\n [1, 1, -2, -3],\n [-2, 4, -1, 4],\n [-1, -1, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 242 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[0, -2, 0, 3],\n [-2, -2, -2, -3],\n [0, -2, 4, 4],\n [3, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 459 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, 2, -1],\n [-3, -2, 2, -1],\n [2, 2, -3, 0],\n [-1, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1561 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 2, -4],\n [-3, 1, -2, -3],\n [-1, 2, 3, 3],\n [2, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -168 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 4, 0],\n [3, -2, 4, 0],\n [4, -3, 4, -4],\n [1, 1, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6478 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, 3, 2, 2],\n [2, -3, -2, -4],\n [-3, 4, -2, -3],\n [-2, -4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -106 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 3, 0, 2],\n [-3, 1, -4, 2],\n [2, -1, 4, -3],\n [2, 1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -29 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 4, 3],\n [-1, -3, -3, 3],\n [1, 2, -4, 3],\n [0, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 203 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 0, -2],\n [2, 1, -1, 0],\n [0, -1, 3, -2],\n [-2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 425 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, 4],\n [-1, 4, -1, 4],\n [-2, 0, 4, 1],\n [3, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1858 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, -4],\n [-1, 4, -3, 3],\n [1, -1, -1, 1],\n [4, -3, 2, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -23 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 1, 4],\n [4, -4, 0, -1],\n [2, -4, -1, 4],\n [-3, -1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 143 | 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, -1, -3],\n [-1, -4, -1, 1],\n [2, 1, -3, 1],\n [-2, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1079 | 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, -2, 4],\n [-3, 3, -1, -4],\n [-2, 4, -1, 4],\n [0, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6171 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 2, 2],\n [2, 2, 4, -4],\n [1, -2, 1, 4],\n [-2, 4, -1, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 268 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, -2, -1],\n [2, -4, -3, 0],\n [-2, -3, 2, 1],\n [-1, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -199 | 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, -3, 0],\n [2, 2, -1, -1],\n [-3, -1, -4, 1],\n [0, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 832 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 2, 0],\n [0, 3, 2, 0],\n [2, 2, -1, -4],\n [0, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 41 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -3, 0, -2],\n [-3, 3, -3, 0],\n [0, -3, -3, 2],\n [-2, 0, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4383 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 1, 0],\n [0, 1, 2, 1],\n [1, 2, -1, 2],\n [0, 1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 697 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[1, 0, -4, 4],\n [0, 1, 2, -2],\n [-4, 2, 3, -1],\n [4, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1420 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 4, -4],\n [2, 1, 4, -3],\n [-3, -2, -2, 3],\n [0, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9450 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 1, 0],\n [0, -1, -2, 2],\n [1, -2, 3, 2],\n [0, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1378 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[4, -1, -1, -1],\n [-1, 0, -1, 2],\n [-1, -1, 1, -4],\n [-1, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 124 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-4, 2, -3, 0],\n [-1, -1, -4, 3],\n [4, 4, 1, 1],\n [-2, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 390 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2, 2],\n [0, 4, -1, 0],\n [-2, -1, -4, -4],\n [2, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 799 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, -1, 2],\n [-3, 0, -2, 1],\n [4, 3, -4, 4],\n [4, 3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 625 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-4, 0, 4, 4],\n [0, 4, 0, -4],\n [4, 0, 1, -2],\n [4, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -24 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 0, 0],\n [2, 4, 2, 2],\n [0, 2, -3, 2],\n [0, 2, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 58 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -4, 2],\n [0, 3, 2, 2],\n [-4, 2, 1, -2],\n [2, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1460 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 1, -3],\n [-1, -1, 1, -2],\n [-1, 3, -2, -3],\n [1, 2, 3, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 175 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-4, 0, 2, 1],\n [0, 2, -2, -1],\n [2, -2, 4, -1],\n [1, -1, -1, 0]]\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 3th power of the matrix:\n[[-2, 0, 4, -3],\n [-4, 3, 0, -1],\n [-4, -1, 1, -3],\n [-4, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1043 | 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, -2, 1],\n [-4, -1, 1, -2],\n [2, -2, 0, -3],\n [-4, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7891 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -3, 2],\n [2, 4, 3, 1],\n [-3, 3, -2, 3],\n [2, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1910 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, 2, 1],\n [-2, -1, 4, -4],\n [-4, 0, -2, -1],\n [4, 2, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -265 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[3, 1, -1, 3],\n [2, -3, 3, -2],\n [-2, -1, 0, 1],\n [2, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -448 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -4, 3, -3],\n [-4, 2, -4, 0],\n [3, -4, -1, 0],\n [-3, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2309 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, 1, -2, 2],\n [4, -1, 3, 2],\n [-3, -2, -3, 4],\n [3, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -188 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, -1, -1],\n [-2, 2, 4, -1],\n [3, -4, 2, 1],\n [-2, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -184 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 2, 0],\n [2, 1, 0, 1],\n [2, 0, 2, 2],\n [0, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1632 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, 0, -4],\n [-2, 4, 0, -2],\n [0, 0, 0, 0],\n [-4, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5632 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, 0],\n [0, -3, 4, 0],\n [2, 4, -1, 0],\n [0, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 452 | 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, 3, -2],\n [-1, 1, 1, 4],\n [3, 1, 0, -2],\n [-2, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1432 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -4, -1, -4],\n [1, 3, -3, 3],\n [2, 4, -4, 0],\n [1, 3, 4, 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[[3, 3, 1, 0],\n [-3, 2, 3, 3],\n [3, -4, -3, -4],\n [3, 1, 1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 43 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[4, -1, 4, 2],\n [1, -3, -3, 0],\n [0, 3, 0, -4],\n [1, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 575 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, 2, 0, 0],\n [-3, 0, -4, -3],\n [3, 0, 4, 2],\n [-3, 4, 4, -3]]?\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[[3, -2, -3, -1],\n [-2, 0, 3, 0],\n [-3, 3, -3, 2],\n [-1, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1128 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, 2, 0],\n [-3, -2, -4, 3],\n [-3, 4, -4, 0],\n [-1, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -492 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -4, 1],\n [4, -3, -4, -3],\n [4, 1, -4, -3],\n [-2, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6538 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[1, 2, 2, -3],\n [-1, -1, -1, 1],\n [-2, -4, 0, -4],\n [4, 4, 1, -3]]?\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 4th power of the matrix:\n[[2, -1, 3, -1],\n [-1, 0, 0, -2],\n [3, 0, 2, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2028 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 1, 4, 3],\n [3, -4, -2, 3],\n [0, -4, -4, -3],\n [1, -2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12926 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, 0, 1],\n [-2, -1, 0, -1],\n [0, 0, 1, -1],\n [1, -1, -1, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 32 | 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, 0, -4, 2],\n [0, -4, 4, -2],\n [0, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1376 | 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, 2, 0],\n [2, -1, 0, -2],\n [2, 0, 1, -1],\n [0, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2057 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -2, 4],\n [-2, 0, -1, 4],\n [-2, -1, 2, 0],\n [4, 4, 0, 4]], determine the value at position (3, 2).\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 all entries of the result:\nA =\n[[0, -3, 2, 2],\n [-3, 4, -1, -1],\n [-4, 2, 1, 4],\n [3, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -36 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 4, 0],\n [2, 4, -1, -4],\n [3, 3, 3, 3],\n [-4, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 975 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, -3, -3],\n [3, -3, 2, 0],\n [-2, -1, -4, -3],\n [4, -4, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1456 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 2, 0, -2],\n [2, 1, 0, 0],\n [0, 0, 1, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 4, 2, -1],\n [2, 1, 4, 4],\n [-1, 1, -3, 3],\n [0, 4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1537 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 0, 1, 3],\n [0, 3, 0, 0],\n [1, 0, -3, 2],\n [3, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-2, 0, 4, 4],\n [2, 4, -2, -3],\n [1, 4, 3, 2],\n [2, 3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 3, 1, -1],\n [-3, 0, 4, 1],\n [0, 0, 4, -2],\n [-1, 3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -96 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 0, -1],\n [0, 0, -2, 1],\n [0, -2, -4, -3],\n [-1, 1, -3, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | 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, -2, 1],\n [-3, -2, 0, -1],\n [-2, 0, -3, -1],\n [1, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2830 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 0, 2],\n [0, -4, 2, 2],\n [0, 2, 2, -1],\n [2, 2, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 729 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, -2, -1],\n [2, -3, 0, -1],\n [-2, 0, -4, 0],\n [-1, -1, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1560 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, 1, 2],\n [3, 4, 0, -1],\n [1, 0, 3, -2],\n [2, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4376 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 2, 0],\n [0, 0, 2, 0],\n [2, 2, 4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1130 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, 1, 3],\n [3, 1, -4, -3],\n [2, -1, 4, -1],\n [-2, -1, 4, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -22 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 0, 0, 2],\n [0, 0, 2, 4],\n [0, 2, -2, 0],\n [2, 4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, 1, -2],\n [4, 2, 3, 2],\n [1, 3, -1, 0],\n [-2, 2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 476 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-4, 1, -2, 0],\n [1, -2, 2, 3],\n [-2, 2, -1, 0],\n [0, 3, 0, 0]]\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, -1],\n [0, 4, -4, 0],\n [3, 1, 1, -1],\n [3, 2, 1, 2]], determine the value at position (3, 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[[-2, 3, -2, 0],\n [3, 3, 0, 1],\n [-2, 0, -4, 4],\n [0, 1, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8582 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 4],\n [3, 1, -2, 2],\n [0, -2, 3, 3],\n [3, 0, -2, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 141 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, 2, 2],\n [-1, 0, 0, 0],\n [2, 0, 2, 1],\n [2, 0, 1, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 98 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[0, 1, 2, -2],\n [1, 2, -3, 2],\n [2, -3, -2, 1],\n [-2, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -252 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 2],\n [2, 2, 4, 1],\n [0, 4, 1, -1],\n [2, 1, -1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7 | MATH |
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