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 all entries of the result:\nA =\n[[-3, 1, -1, 0],\n [1, -2, 2, 2],\n [-1, 2, 0, -1],\n [0, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-99
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, -4, -4],\n [1, -2, 0, -3],\n [-3, -1, -1, -2],\n [1, -3, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4109
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, 2, 0, -2],\n [2, 1, 3, 2],\n [0, 3, -2, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-310
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, 0],\n [-2, -1, 0, 0],\n [2, 0, -4, 0],\n [0, 0, 0, 4]], determine the value at position (4, 3).\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[[-2, 4, -2, 0],\n [4, 2, 0, 1],\n [-2, 0, 1, -2],\n [0, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-123
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 2, -2],\n [-1, -2, 0, 1],\n [2, 0, -2, 0],\n [-2, 1, 0, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 2, -2],\n [-4, 1, 2, 1],\n [2, 2, 3, 2],\n [-2, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9118
|
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, -4, 3],\n [1, 3, -2, -4],\n [-4, 2, 3, -3],\n [-1, -1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1883
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 2, 2],\n [0, 2, 3, 0],\n [2, 3, 1, -2],\n [2, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
531
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, -1, -1],\n [2, -4, -2, 1],\n [-1, -2, -2, 0],\n [-1, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-145
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, -2, 2, 1],\n [-2, 2, 2, 1],\n [2, 2, -2, -4],\n [1, 1, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-2, 0, 1, 2],\n [4, -2, 3, 3],\n [1, -4, 1, 1],\n [-1, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, -2, 0],\n [0, 4, -3, -2],\n [-2, -4, -3, -3],\n [4, 3, 0, 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 sum of absolute values of all entries of the result:\nA =\n[[0, -3, 1, 0],\n [-2, -1, 1, 3],\n [2, 1, 3, -4],\n [1, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3217
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -3, 3],\n [-1, 2, 3, -4],\n [4, 2, 0, -4],\n [4, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2253
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 3, 1, -1],\n [4, 2, 2, -3],\n [-3, -2, 3, -4],\n [2, -2, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1598
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 0, 2],\n [2, 3, -2, -2],\n [0, -2, 4, -1],\n [2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
721
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -3, 2],\n [2, -4, 0, 0],\n [-3, 0, -2, 0],\n [2, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
884
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 4, 3],\n [2, 2, 1, 0],\n [-1, 0, 2, 4],\n [-4, 2, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
898
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -1, 1],\n [-4, -3, -3, 3],\n [-4, -3, 0, -3],\n [-3, -1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1283
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -3, 1, -1],\n [4, -2, 1, 4],\n [-4, 2, 0, 4],\n [2, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1278
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-4, 0, 0, -3],\n [0, -2, 0, -2],\n [0, 0, 1, 2],\n [-3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -3, -2, -2],\n [-3, 4, 0, -4],\n [-2, 0, 4, 1],\n [-2, -4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2347
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, 2, 3],\n [3, -4, 3, -4],\n [-1, 0, -2, -2],\n [-4, 4, -2, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
190
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, 4, 2],\n [3, -3, 2, 3],\n [3, 0, -4, 0],\n [1, -4, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-453
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, 0, -1],\n [-2, 3, 0, -2],\n [0, 0, 0, -2],\n [-1, -2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1422
|
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, -4, -2, -1],\n [0, -2, 0, 1],\n [-2, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-637
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, -4, -3],\n [-2, 1, -4, 3],\n [2, 3, -1, 1],\n [2, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2359
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, 3, 4],\n [-1, 4, -1, -3],\n [-3, 1, 4, 0],\n [3, -4, -3, 4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1949
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 2, -4],\n [4, 2, 2, -1],\n [3, 1, -2, -2],\n [-1, -3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7198
|
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 [2, 4, 3, -2],\n [-1, 3, 0, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4885
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 3],\n [-3, -2, 4, 0],\n [0, -4, -4, -1],\n [-2, -2, 1, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-61
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -2, -1],\n [2, 1, -4, 2],\n [-2, -4, 3, 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"
}
] |
10639
|
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, -2, 0],\n [1, 2, -2, -2],\n [-2, -2, 1, 2],\n [0, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
728
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, -4, 2],\n [-1, -1, -1, 3],\n [2, 0, -1, -1],\n [0, -1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[4, 3, 3, -1],\n [0, 2, 3, 4],\n [-1, -4, 2, 0],\n [3, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
114
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-3, -2, 2, 2],\n [-2, 3, -1, 1],\n [2, -1, -2, 0],\n [2, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-117
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 2, 2],\n [2, 0, -2, 0],\n [2, -2, -4, -2],\n [2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1968
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, 2, 2],\n [-4, 3, -2, 0],\n [2, -2, 3, 2],\n [2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2508
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, 1],\n [0, 4, -3, 0],\n [0, -3, 2, 2],\n [1, 0, 2, 0]], determine the value at position (1, 3).\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[[0, -4, -1, -4],\n [-1, 0, -3, 1],\n [-4, -4, 4, 3],\n [-1, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-298
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 4],\n [-4, 1, 1, 1],\n [-4, -3, -1, 2],\n [0, 3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-128
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -3, 4],\n [0, -2, 4, 1],\n [0, 4, -1, -3],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
858
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, 3, 1],\n [0, 0, 0, 1],\n [2, 3, 3, 1],\n [-3, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
334
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -4, -2, 2],\n [1, 1, -4, -2],\n [3, 1, 1, 2],\n [1, -4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
513
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 2, -2],\n [0, 1, 2, 1],\n [2, 2, -2, 1],\n [-2, 1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1165
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, 0, 3],\n [3, -2, 0, 0],\n [0, 0, 2, -1],\n [3, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
554
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, 2, 1],\n [-1, 3, 2, -2],\n [2, 2, 4, -2],\n [1, -2, -2, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -4, -4, 1],\n [2, 4, 2, 3],\n [2, -3, -2, 4],\n [-4, 3, -3, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
112
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 0, -1],\n [-2, 2, 2, 2],\n [0, 2, -3, 2],\n [-1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
83
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, -3, -2, -3],\n [-3, -3, 2, -4],\n [-2, -3, -2, 4],\n [-2, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[1, -4, -4, 3],\n [4, 3, -2, -1],\n [3, -2, 3, 2],\n [3, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
56
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -4, 2],\n [-3, -3, 2, 4],\n [4, 1, -3, -3],\n [3, -3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
89
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -4, -1],\n [-4, 3, 0, -2],\n [-1, 2, -4, 0],\n [-3, -2, -1, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-188
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -3, 2],\n [-1, -1, 1, 2],\n [-2, 2, 2, -3],\n [-4, 0, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-102
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0, 2],\n [-4, 3, 1, 2],\n [1, -2, 2, -3],\n [-1, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-160
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[3, 2, 2, 0],\n [2, -2, 3, -1],\n [2, 3, -3, 0],\n [0, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-163
|
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, 0, 1],\n [4, 1, -1, 3],\n [2, 4, -4, 4],\n [3, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
706
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[4, 0, -2, -1],\n [0, 2, -2, -2],\n [-2, -2, 2, 2],\n [-1, -2, 2, -1]]\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^4 where A is:\n[[3, -1, -2, -4],\n [-1, 0, -2, -1],\n [-2, -2, 1, 2],\n [-4, -1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1126
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 4, -4],\n [-1, 2, 0, -3],\n [4, -2, -3, 2],\n [-3, 3, -3, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, -2, -3],\n [0, -2, 2, 1],\n [-2, 2, -3, -2],\n [-3, 1, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4954
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 1, -4],\n [-1, -2, 0, 2],\n [1, 0, 3, -2],\n [-4, 2, -2, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
258
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, -1, 0, 1],\n [-1, 2, 0, -3],\n [0, 0, 3, 0],\n [1, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-4, 2, 0, 3],\n [2, 3, -2, 2],\n [0, -2, -1, 0],\n [3, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 2],\n [0, 3, 3, 4],\n [0, 3, -3, -1],\n [2, 4, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11430
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 1, -2, 1],\n [4, 2, 1, 0],\n [-1, -3, -4, -3],\n [3, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4524
|
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, 2],\n [2, 3, 2, 2],\n [0, 2, -1, -2],\n [2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
883
|
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, 1, -4],\n [4, -4, 3, -1],\n [1, 4, -4, -1],\n [-3, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14035
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 1, -1],\n [-4, -2, -1, 3],\n [0, -2, -2, -3],\n [2, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
468
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 4, 2],\n [0, 2, 0, 0],\n [4, 0, 2, -1],\n [2, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
715
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, -1, -1],\n [0, -2, -4, 0],\n [3, -3, 3, -4],\n [3, 4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7317
|
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, -3],\n [0, 1, -1, -2],\n [1, -2, 4, 4],\n [2, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2422
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-1, 0, 3, -4],\n [0, 1, 0, 1],\n [3, 0, 0, -3],\n [-4, 1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-620
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[0, -2, -2, 0],\n [-2, 3, 3, 2],\n [-2, 3, 1, 0],\n [0, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, -4, 1],\n [2, 1, 1, 0],\n [-4, 1, -4, 2],\n [1, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1294
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 0, 0],\n [0, -1, -2, 0],\n [0, -2, 2, 0],\n [0, 0, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
421
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -2, -2],\n [-2, 3, -2, 0],\n [-2, -2, -2, 0],\n [-2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
562
|
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, 1, 2],\n [-4, -2, 4, 3],\n [-4, 2, 0, -3],\n [-1, 4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8930
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[2, 3, 1, -1],\n [4, -4, -3, -1],\n [2, 1, 0, -1],\n [1, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 3, -4, -2],\n [0, 0, 0, -2],\n [1, 1, 1, -4],\n [0, -2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
343
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 3, -3],\n [-3, -4, -4, -3],\n [0, 2, 4, 1],\n [-4, 2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
441
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -2, -4],\n [2, 2, 0, 4],\n [4, -3, -2, -4],\n [-2, -4, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
680
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[0, -3, -2, 0],\n [-3, -2, 0, 0],\n [-2, 0, -3, -3],\n [0, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -3, 0, 2],\n [-3, -2, 2, 0],\n [0, 2, 0, 1],\n [2, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
535
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, 2, 2],\n [-2, 3, 0, 0],\n [2, 0, 0, -2],\n [2, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4493
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, -2, 0],\n [1, 0, 0, 2],\n [-2, 0, 2, 0],\n [0, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[0, 2, 0, 0],\n [2, 3, 2, 0],\n [0, 2, 2, -2],\n [0, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, 1, 0],\n [-2, 4, 0, 2],\n [1, 0, 0, 3],\n [0, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
324
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -3, 1, -3],\n [-1, -2, 1, 1],\n [-3, 4, 3, -4],\n [3, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-450
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, -2, 2],\n [-2, 0, 2, 2],\n [-2, 2, -2, -3],\n [2, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1749
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 3, -4, -2],\n [1, -2, 1, -4],\n [3, 4, -4, -3],\n [-2, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-111
|
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, -4],\n [0, -3, 0, -3],\n [2, 0, 0, 2],\n [-4, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1061
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[1, 4, -2, 4],\n [-4, -2, 1, -3],\n [3, -2, -2, -1],\n [0, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
405
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -2, -4],\n [2, -2, 0, 0],\n [-2, 0, 3, -1],\n [-4, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13657
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 1, 1],\n [3, 3, -2, 2],\n [2, 3, 1, -4],\n [-1, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
899
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -2, 4],\n [3, 0, 1, -3],\n [-2, 1, 2, 4],\n [-4, 3, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1058
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 1],\n [0, -4, -1, 0],\n [2, -1, -3, -2],\n [1, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2147
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, 4, 3],\n [-4, -2, -3, 2],\n [-2, -3, -2, -2],\n [3, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
725
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, -1, 2],\n [3, 4, -3, 1],\n [-2, -1, 4, -2],\n [-3, 1, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
86
|
MATH
|
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