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[[-2, -1, -1, -2],\n [-1, 2, 0, 0],\n [-1, 0, 4, 1],\n [-2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
368
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 0],\n [2, 4, -2, 2],\n [0, -2, 0, -2],\n [0, 2, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
362
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[3, 1, 1, 0],\n [1, -3, -2, 2],\n [1, -2, -3, -2],\n [0, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 1, 1],\n [-1, -2, -4, -1],\n [-1, -1, 2, 3],\n [-4, 1, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2017
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 2, 0],\n [0, 1, -2, 2],\n [2, -2, 1, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
371
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 3, -1, 0],\n [3, 2, -2, 3],\n [-3, 3, 2, 1],\n [-3, 0, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-279
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[4, -2, 3, 1],\n [1, -3, -2, -1],\n [1, -2, 0, 3],\n [-2, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -3, 2, -2],\n [-3, 4, 2, 2],\n [2, 2, 3, 2],\n [-2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
572
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 0, 0],\n [2, -1, 0, 2],\n [0, 0, -3, 2],\n [0, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
655
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, -4, 4],\n [1, 4, -3, -1],\n [4, -1, -4, 3],\n [-3, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2515
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -4, 4, 4],\n [-3, 1, -3, 0],\n [0, -4, 4, -3],\n [-4, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1904
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -4, 0],\n [0, -1, 4, 0],\n [-4, 4, -1, 0],\n [0, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6442
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -4, -1],\n [-1, 2, 3, -3],\n [2, -1, 0, -4],\n [0, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
968
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 1, 2],\n [1, -3, 0, 1],\n [2, 0, 2, -1],\n [-3, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1080
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-1, 3, 4, -3],\n [-2, -1, -4, -4],\n [1, -4, 3, -3],\n [0, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-278
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, -2],\n [0, -1, 1, 0],\n [0, 1, 3, 0],\n [-2, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2045
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, -2, 4],\n [2, -4, 0, 0],\n [-2, 0, -1, 0],\n [4, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1147
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, -3, -4],\n [0, 4, -3, 3],\n [2, 0, -3, 1],\n [-2, -4, 3, 0]]\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 3th power of the matrix:\n[[4, 2, -2, 0],\n [2, 4, -2, 0],\n [-2, -2, 4, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1544
|
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, -3, 1],\n [1, -2, 1, -4],\n [-1, 0, 1, 4],\n [4, 4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1438
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, 2],\n [0, 0, 2, 0],\n [0, 2, 1, 2],\n [2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
612
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 4, -2],\n [-2, -2, 1, -3],\n [1, 1, -3, -1],\n [2, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-111
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 3, 4],\n [-4, 0, -2, 3],\n [4, 1, -1, 0],\n [2, 2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
995
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 1, -2],\n [-1, -4, -2, 1],\n [1, -1, 4, -2],\n [-2, -2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
732
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 3, 1, -2],\n [3, -2, -2, 3],\n [1, -2, 0, 1],\n [-2, 3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
299
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[0, 4, -3, -1],\n [-4, 0, 4, -1],\n [0, -3, -1, -4],\n [2, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-266
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 0, 3],\n [-4, 2, -4, 1],\n [4, 2, -2, 1],\n [-1, -2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1996
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -4, 0, 1],\n [-2, 2, 4, 4],\n [-1, 3, 0, 2],\n [4, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7341
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -4, 2],\n [2, 1, 0, 0],\n [-4, 0, -1, 3],\n [2, 0, 3, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-244
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -3, 4, 2],\n [-3, -2, -1, -2],\n [4, -1, 0, 0],\n [2, -2, 0, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-62
|
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, -4, -3],\n [-1, 4, -3, 1],\n [-1, 1, 4, 0],\n [3, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
643
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, -4, 4, -4],\n [-2, -1, 1, 0],\n [0, -1, -2, -3],\n [1, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-94
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, 0, 3],\n [4, 4, -2, -3],\n [-2, 2, 1, 4],\n [-3, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
294
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -4, -2],\n [2, 4, 3, -2],\n [-4, 3, -3, 0],\n [-2, -2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-228
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 3, 0, 0],\n [3, 2, -3, -1],\n [0, -3, 4, 2],\n [0, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1284
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 4, -3],\n [0, 4, 0, -1],\n [4, 0, 0, 0],\n [-3, -1, 0, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-648
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 2, -3],\n [2, -2, 1, 1],\n [1, 2, -1, -3],\n [1, -3, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1197
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[1, 0, 0, 1],\n [4, 4, 1, -4],\n [2, 4, -3, 2],\n [-1, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-504
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, -4, 0],\n [2, 2, 0, 4],\n [4, 4, 2, -4],\n [-2, 1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
922
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, -2, -2],\n [3, -3, -2, 2],\n [-2, -2, -3, 0],\n [-2, 2, 0, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, -2, 0, -2],\n [2, 2, 1, -2],\n [2, 3, 2, 2],\n [0, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
188
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 2, 0],\n [0, -2, 0, -2],\n [2, 0, 1, -2],\n [0, -2, -2, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 4, -4, 3],\n [0, 2, -1, 2],\n [-3, 2, 1, 1],\n [3, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
352
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, -3],\n [-2, 3, 0, 2],\n [0, 0, -2, 4],\n [-3, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2051
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 3, -1],\n [-2, 3, -3, 4],\n [3, -1, -4, 1],\n [4, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6979
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, -2, -1],\n [4, 3, 1, 2],\n [-2, -3, 4, 0],\n [-1, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1182
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 0, 0, 2],\n [0, 3, 0, 1],\n [0, 0, 2, 2],\n [2, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
84
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, -4, -3],\n [2, -2, -4, -2],\n [2, -1, -2, 2],\n [-4, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2638
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 0, 0],\n [-2, -2, -1, 3],\n [0, -1, -2, -1],\n [0, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4061
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, -4, 1, -2],\n [-4, 3, 0, -4],\n [1, 0, 1, -4],\n [-2, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 4, -1, -2],\n [4, 1, -4, 0],\n [-1, -4, 4, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-94
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, -1, -3],\n [2, 3, 2, -2],\n [-1, 2, 1, 0],\n [-3, -2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
712
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -1, -1],\n [-1, 0, -3, -3],\n [-1, -1, 1, 1],\n [-1, -1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2074
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 0, 1],\n [0, -4, 2, -2],\n [0, 2, -3, -3],\n [1, -2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-265
|
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, -4, 3],\n [0, 0, 0, 1],\n [-4, 0, -4, 1],\n [3, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10836
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[4, -2, -2, -4],\n [-4, 2, 3, -3],\n [4, 3, 4, 4],\n [1, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
147
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 4, 0],\n [0, 0, 1, 0],\n [4, 1, -1, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3242
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 0, -2],\n [0, 2, 1, 0],\n [0, 1, -4, -2],\n [-2, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
365
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 2, 2],\n [4, -3, 3, 1],\n [-3, -3, 1, 2],\n [-3, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1052
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 3, 0, -3],\n [-1, -3, 1, 4],\n [0, 4, -3, -3],\n [-4, 4, -2, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, -3, -2],\n [1, 2, -1, -2],\n [-1, 4, 3, 3],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3861
|
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, 0, -4],\n [-1, -1, 0, -3],\n [0, 2, -2, 4],\n [-1, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2329
|
MATH
|
[
{
"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, 1],\n [3, 3, -3, 3],\n [-4, 3, -2, 2],\n [-1, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3167
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, 1, -1],\n [0, 2, -4, 1],\n [4, 0, 4, 0],\n [0, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1137
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 0, 2],\n [2, -2, 0, 2],\n [0, 0, -3, 3],\n [2, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[4, -2, 1, 0],\n [-2, 1, 2, 2],\n [1, 2, 3, -2],\n [0, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-254
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[3, 1, 0, 2],\n [1, -3, 1, 0],\n [0, 1, -4, 4],\n [2, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 2, 3],\n [-3, 2, 0, 1],\n [3, -4, -1, 4],\n [-2, -3, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
103
|
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, -2, -4],\n [-3, -2, 4, 1],\n [4, -3, 4, 2],\n [-4, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
977
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, 1, 2],\n [-4, -3, 4, -3],\n [1, 4, 0, -3],\n [3, 3, -2, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -1, 0, 1],\n [-1, 4, 1, 3],\n [0, 1, -1, -2],\n [1, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2550
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 3, -2, 2],\n [3, 2, 0, 0],\n [-2, 0, -4, 2],\n [2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2170
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -3, -2, -2],\n [-3, 4, -2, -3],\n [-2, -2, 2, 0],\n [-2, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6000
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 0, -2],\n [2, -3, -1, 3],\n [0, -1, -3, 1],\n [-2, 3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
895
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, -4, -3],\n [1, -2, 0, -4],\n [2, 0, -3, -1],\n [3, -3, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-284
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[2, 1, 3, -4],\n [-3, 0, -2, -2],\n [-2, -2, 2, 2],\n [-2, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-67
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[0, 1, -2, 4],\n [-2, -2, 3, -2],\n [-4, -2, 4, -3],\n [0, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-200
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, -1, 3],\n [4, 2, 2, -4],\n [-3, 4, -4, 1],\n [-4, 2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2783
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[2, 4, 1, -3],\n [4, -1, -2, -2],\n [1, -2, -3, -2],\n [-3, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-821
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[1, 0, 3, -1],\n [0, 4, 0, -1],\n [3, 0, 3, 0],\n [-1, -1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 0, 4],\n [2, -2, 0, -1],\n [1, 3, 3, -4],\n [-4, 1, 1, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, -2, 0],\n [3, -2, 1, 0],\n [-4, 2, -4, 3],\n [3, -2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2794
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, -3, -4],\n [-1, 3, -3, 4],\n [2, -3, 1, -3],\n [2, 2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
181
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, 0, 2],\n [-2, -2, -2, 0],\n [0, -2, -1, 1],\n [2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-190
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 0, 1],\n [2, -4, -2, -1],\n [2, -3, -4, 1],\n [-2, 2, 4, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -1, -2, -1],\n [2, 3, -3, -1],\n [3, -4, 4, 3],\n [4, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-214
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, -1, -2],\n [1, 3, -2, 4],\n [-1, -2, 2, 2],\n [-2, 4, 2, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-45
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, -3, -4],\n [2, 2, 4, -2],\n [2, 3, 1, 4],\n [-4, 4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2386
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, -4, 0],\n [0, 4, 0, 0],\n [-1, -3, 3, -1],\n [-2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
343
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -3, 1],\n [-4, -3, -2, -3],\n [3, -3, -4, -3],\n [0, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1633
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 0, -2],\n [-3, -3, -2, -3],\n [-4, 4, 1, 1],\n [1, -4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1349
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, 0, -3],\n [4, 4, 0, -4],\n [-1, -4, -4, 4],\n [0, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-654
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0, 2],\n [2, 0, 4, -2],\n [-4, 4, -1, 2],\n [3, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 0, 3],\n [0, 3, -3, 3],\n [1, -4, -2, -3],\n [-2, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
418
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 0, -3],\n [1, 0, 2, -4],\n [-4, -2, 0, -1],\n [-1, 4, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
302
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 1, 2],\n [3, -4, -3, -1],\n [4, 0, 1, -4],\n [-3, -3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-462
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -3, -4],\n [-4, 0, 4, 4],\n [3, 0, 3, 0],\n [3, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1010
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -2, 2],\n [2, 2, 0, 2],\n [-2, 0, -3, -2],\n [2, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2366
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-3, 0, 2, 3],\n [-2, -1, -1, -1],\n [-2, -3, 3, -2],\n [2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 2, 0],\n [1, -3, -1, -2],\n [2, -1, 1, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
154
|
MATH
|
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