messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 3, -2],\n [-4, 4, 2, 3],\n [-3, -2, -1, 4],\n [-1, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4046 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, -2, -3],\n [3, -2, -2, 2],\n [-2, -2, 2, 1],\n [-3, 2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7533 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 0],\n [0, -1, 0, 0],\n [0, 0, -4, 2],\n [0, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 281 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, -4, 1, -2],\n [-3, -2, -2, 2],\n [2, -2, -2, 0],\n [-2, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 112 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-4, -1, -4, -4],\n [2, -4, -3, -4],\n [-1, 1, -2, -3],\n [1, -3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -211 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 0, -2, 2],\n [0, 1, 0, 1],\n [-2, 0, -4, 3],\n [2, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -138 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, -1, 3],\n [-1, -4, -3, 2],\n [3, -1, 1, -1],\n [4, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 693 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 1, -1],\n [1, -4, 4, 2],\n [-2, 3, -2, 4],\n [-4, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -46 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-1, -2, -1, 1],\n [1, 2, 0, 4],\n [3, -2, -2, 4],\n [-2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14 | 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, 2, -2],\n [-4, -1, -2, 0],\n [2, -2, -4, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 785 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -1, 1],\n [0, 4, 0, -2],\n [-1, 0, -2, 0],\n [1, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 43 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[4, -3, 1, -3],\n [-2, 2, 2, -3],\n [-3, -2, 4, 2],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 142 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, 1, 0],\n [-4, -1, 2, -4],\n [1, -4, -2, 0],\n [3, 3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4778 | 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, 0, 0],\n [0, 1, -1, 2],\n [0, -1, 2, 2],\n [0, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 127 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 3, 1],\n [0, -1, -3, 2],\n [3, -3, -4, 0],\n [1, 2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 877 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 0],\n [0, -3, 0, 2],\n [0, 0, 0, 0],\n [0, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 3, 2, -1],\n [4, -1, 0, -4],\n [2, 3, -2, -1],\n [0, -3, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1901 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, 1, 2],\n [2, -2, 3, 0],\n [-1, 4, 1, 1],\n [-3, -3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 535 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, -1, 0],\n [-1, 0, -3, -2],\n [0, -3, 4, -1],\n [-4, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 151 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -3, 4],\n [3, 2, 0, 0],\n [-3, -4, 3, 1],\n [1, 3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 70 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, 2],\n [-2, 0, -4, 0],\n [4, -4, -3, -4],\n [-3, 0, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6545 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 0, -1],\n [-4, -3, -2, 0],\n [0, -2, -2, 2],\n [-1, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5003 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 0, 3],\n [-2, 2, -2, 0],\n [0, -2, -1, 0],\n [3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2861 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 0, 1],\n [-2, -3, -4, 0],\n [0, -4, 4, 4],\n [1, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1699 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, 2, 2],\n [3, 2, 2, -3],\n [3, 4, -1, -2],\n [3, 2, 3, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -70 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 0, 1],\n [-4, -4, 0, -2],\n [4, -4, -3, -3],\n [-2, -2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3182 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, -1, -2, 0],\n [-1, -4, 0, -2],\n [-2, 0, 0, 2],\n [0, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 172 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, -3, -1],\n [0, -4, 0, 3],\n [1, -4, -4, -4],\n [1, 2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 794 | 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, 2],\n [3, 1, 1, -1],\n [2, 0, -2, 4],\n [-2, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 642 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, 0, -1, -2],\n [0, -2, -2, 2],\n [-1, -2, -2, 3],\n [-2, 2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1134 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -3, 2],\n [0, -1, -1, 0],\n [-3, -1, -4, -1],\n [2, 0, -1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -160 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, 4, -4, 2],\n [4, -2, 4, 1],\n [-3, 4, 0, -3],\n [-1, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -359 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, -4, -2],\n [0, 3, 1, -1],\n [0, 0, 0, -4],\n [-4, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 557 | 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, -2],\n [0, 1, -4, 2],\n [0, -4, -2, 2],\n [-2, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10930 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, -2, 0],\n [-3, 4, -2, 1],\n [-2, -2, 3, 1],\n [0, 1, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 741 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 1, 1],\n [4, 1, 0, -2],\n [2, 0, -1, 2],\n [0, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 742 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 2],\n [0, 4, 0, 3],\n [-2, 0, 1, -2],\n [2, 3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2260 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 4, 1],\n [-3, -4, 1, 3],\n [2, 3, 3, 0],\n [-3, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2229 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -1, 3, -3],\n [-4, -2, 0, -4],\n [-2, -3, -3, -3],\n [3, -2, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1081 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-4, -4, 1, 0],\n [-4, -4, -2, 0],\n [1, -2, -3, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 347 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, 1, -3],\n [-3, -4, 1, 4],\n [-4, 2, 2, 1],\n [3, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3907 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, 2, -3],\n [4, -1, 3, -2],\n [-2, -1, 0, -1],\n [2, 3, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -467 | 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, -1, -3, 3],\n [0, -3, 2, 2],\n [0, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 863 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-3, -1, 2, 2],\n [-1, 3, 0, -4],\n [2, 0, 1, -2],\n [2, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -360 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -2, 2],\n [0, 0, 2, 0],\n [-2, 2, -4, -2],\n [2, 0, -2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 352 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -1, -1],\n [3, -4, -2, -4],\n [-1, -2, -4, -4],\n [3, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1057 | 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, 2, 4],\n [1, 4, -3, -1],\n [-1, 3, 1, 4],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 545 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 4, -3],\n [3, -4, 0, -2],\n [1, 1, 4, 1],\n [-3, -3, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7819 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 0, -2],\n [2, 0, 0, -4],\n [0, 0, -3, 2],\n [-2, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 150 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -2, -2],\n [-4, -4, -2, -2],\n [-2, -2, -1, 4],\n [-2, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10650 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 3, 3, -3],\n [-3, -4, 3, 0],\n [-4, 2, -3, -1],\n [3, -4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7124 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 2, -2],\n [-1, -3, 0, 0],\n [2, 0, -4, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -352 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 3, -4, 2],\n [3, -3, -1, -2],\n [-4, -1, -4, 3],\n [2, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11269 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 2, 2, -1],\n [2, 4, -2, 2],\n [2, -2, 2, 1],\n [-1, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 29 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -4, 0, 0],\n [-4, -1, -1, 2],\n [0, -1, -3, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -592 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, -3, 2],\n [0, -2, 2, 2],\n [-3, 2, -2, -1],\n [2, 2, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1078 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0, 2],\n [1, -4, -2, 4],\n [0, -2, 3, -3],\n [2, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 172 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, 1, 0],\n [4, -4, -1, -1],\n [1, -1, -4, -2],\n [0, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2993 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, 2, -1],\n [4, 2, 1, 0],\n [2, 3, 3, -4],\n [1, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 85 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, 3, -1],\n [-1, -4, 0, -2],\n [3, 0, 4, 0],\n [-1, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5812 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 2, 3, 2],\n [2, 0, -1, 2],\n [3, -1, 4, -1],\n [2, 2, -1, 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 value at position (4, 2) of the result:\nA =\n[[-2, -2, 1, -1],\n [-2, -1, -2, 0],\n [1, -2, 3, 0],\n [-1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, 2],\n [2, 3, 3, 0],\n [0, 3, -4, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 443 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 3, 0, -2],\n [4, -3, 1, -1],\n [4, 3, -1, 3],\n [-4, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 768 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 0, 1],\n [2, -1, 0, 1],\n [0, 0, -3, 2],\n [1, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 41 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, 3, 3],\n [1, -1, 4, -3],\n [4, 0, 1, 2],\n [0, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5161 | 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, -3],\n [1, -1, 1, 2],\n [4, -3, 4, -3],\n [2, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5147 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -1, 4],\n [0, -4, 3, 1],\n [0, 3, -1, 4],\n [-3, 0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -125 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 4, -1, -4],\n [-2, 1, -2, -4],\n [2, 3, -1, 1],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 49 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-1, -1, 3, 2],\n [0, -4, 3, 1],\n [4, -3, 4, -2],\n [2, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -348 | 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 [-1, -3, -3, -4],\n [2, -4, 3, 3],\n [4, 1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9622 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, 2],\n [2, 3, 0, -4],\n [0, 0, -3, -2],\n [2, -4, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11547 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, 1, 0, -1],\n [1, 0, 2, -2],\n [0, 2, -3, 0],\n [-1, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -92 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 3, 0],\n [-4, -2, -2, -3],\n [3, 2, 4, -1],\n [-2, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 548 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, -2, -1, 4],\n [4, -2, 4, 3],\n [-1, -3, 1, 0],\n [4, -4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -19 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, -2],\n [2, 1, 2, 0],\n [-2, 2, 2, 2],\n [-2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1023 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 2],\n [2, 2, -2, 4],\n [-2, -2, -1, 0],\n [2, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 392 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 4, 2],\n [0, -4, -2, -1],\n [4, -2, -3, 2],\n [2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6634 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 3, 2, 2],\n [3, 1, -2, 1],\n [2, -2, -1, -1],\n [2, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7439 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[0, -2, 3, -2],\n [-2, -2, -1, -3],\n [3, -1, 0, 0],\n [-2, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, 0, 2],\n [4, 3, 0, 2],\n [0, 0, 2, -2],\n [2, 2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 982 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[1, 4, 4, -3],\n [-4, -1, -1, 2],\n [4, 0, -2, 1],\n [-3, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -532 | 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 [0, 0, 2, 0],\n [-2, 2, -2, -1],\n [-1, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 746 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 4, -3, 2],\n [0, 0, 0, 3],\n [2, -3, 2, 4],\n [-3, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 110 | 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, 0, -4, -2],\n [-1, -4, -3, 4],\n [0, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7398 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 0, -1],\n [1, -2, 4, -2],\n [1, 2, 2, 1],\n [-3, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -434 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 2],\n [-2, 2, -1, -2],\n [0, -1, -4, -2],\n [2, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 787 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, 1, 1],\n [-1, 4, 0, -2],\n [1, 0, 4, 0],\n [1, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 725 | 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, -4, 0],\n [-2, 1, -4, 2],\n [-4, -4, -3, 0],\n [0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2554 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, -1, 1, 0],\n [-1, -4, 0, -1],\n [1, 0, 1, 0],\n [0, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -15 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, 0, 4],\n [1, -1, 4, 2],\n [0, 4, 2, 2],\n [4, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15785 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -2, -3],\n [2, 3, 0, 2],\n [-2, 0, 3, 0],\n [-3, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6207 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 2, 2],\n [-2, 2, 3, -1],\n [1, 4, -2, 2],\n [-3, -4, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -567 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 1, 1],\n [3, -1, 0, -2],\n [1, -2, 4, 3],\n [2, 4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 608 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2, 0],\n [0, 4, 0, 0],\n [2, 0, 0, -3],\n [0, 0, -3, 1]]\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, -2, -3, -2],\n [-2, -1, -2, 0],\n [-2, 1, -2, 0],\n [0, 4, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 63 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, -1, -1],\n [1, 2, 1, 2],\n [-1, 1, -2, -2],\n [-1, 2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1509 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, -2, -4],\n [0, 4, -2, 0],\n [-2, -2, -2, -3],\n [-4, 0, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1298 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, -1, 0],\n [2, 2, 2, 4],\n [3, 3, -2, -4],\n [2, 4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -83 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -1, 1],\n [2, -2, 2, 3],\n [-1, -3, 1, 2],\n [4, -2, -1, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 41 | MATH |
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