messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 1, 1],\n [-2, -2, 2, 4],\n [3, -3, -4, 2],\n [-3, -3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
634
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -3, 0, 4],\n [4, -4, -1, 0],\n [2, 3, -1, 2],\n [3, -3, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12677
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 2, -4],\n [0, -2, -3, -3],\n [2, -3, -3, -2],\n [-4, -3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11030
|
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, 0],\n [-3, 4, 0, -3],\n [3, 0, 1, 4],\n [3, -1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
826
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, -2, 0],\n [-2, 1, 0, 0],\n [-2, 0, -1, 3],\n [0, 0, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
174
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-3, 0, 4, -2],\n [0, 1, 0, 1],\n [4, 0, 1, 2],\n [-2, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-688
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, -2, -3],\n [2, -3, 1, 2],\n [-2, 1, -1, 3],\n [-3, 2, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
395
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, -1],\n [0, 1, -1, 0],\n [0, -1, 4, 2],\n [-1, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
352
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 0, 0],\n [4, 3, -4, 4],\n [4, -2, -2, 0],\n [-4, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
857
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -2, 0, 2],\n [-2, 2, 2, 4],\n [0, 2, 2, -2],\n [2, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1001
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 4, -3],\n [-2, -1, 3, -1],\n [3, 2, 4, 2],\n [-3, 1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
208
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 3, 3],\n [4, 0, 1, 0],\n [1, 3, -2, -1],\n [2, 4, -3, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-213
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, 0, 2],\n [1, -2, 1, 1],\n [0, 1, 0, 0],\n [2, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -4, -1, 2],\n [3, 0, 1, 4],\n [0, -4, -1, -2],\n [-4, 3, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
159
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, -4, 2],\n [-2, -4, -1, 2],\n [-4, -1, -2, -4],\n [2, 2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7043
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 3, 2, -1],\n [1, -1, -3, 0],\n [0, -2, -3, -3],\n [4, 4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3921
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, 1, 2, -2],\n [1, 3, 2, 0],\n [2, 2, 1, 0],\n [-2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
71
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-1, 2, -1, 0],\n [2, -2, 2, -2],\n [-1, 2, 1, 0],\n [0, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, 1, 1],\n [-2, 2, 3, 4],\n [-4, -3, -1, -2],\n [-2, 4, -1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, -2, -2],\n [-1, -1, 2, -4],\n [-3, -2, 3, 1],\n [-1, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
133
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[0, -2, 0, 3],\n [-2, -3, 0, 2],\n [0, 0, 2, 2],\n [3, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-107
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, -1, -1],\n [-4, -2, 0, 2],\n [-1, 0, -4, 0],\n [-1, 2, 0, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -2, -1],\n [2, 4, 2, 0],\n [-2, 2, 3, 0],\n [-1, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
467
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, -2, -4],\n [-2, 1, 4, 4],\n [-4, 2, 3, -3],\n [3, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2950
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -3, 2],\n [2, 1, 4, -2],\n [-3, 4, -1, 2],\n [2, -2, 2, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, -4, -3, 2],\n [-3, 0, -1, 0],\n [-4, 1, -3, 4],\n [1, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-155
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, -1, -2],\n [2, -4, 2, -3],\n [0, 1, 2, 2],\n [1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
614
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, 3, 1],\n [-1, -2, 0, 2],\n [3, 0, -1, 0],\n [1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
764
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 2, 0],\n [0, -4, 0, 2],\n [2, 0, 3, 0],\n [0, 2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
531
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, 4, -1],\n [-3, 2, -1, -2],\n [4, -1, 2, 1],\n [-1, -2, 1, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
385
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -1, 4],\n [-1, 3, 3, -2],\n [2, 2, 4, -2],\n [-1, -1, 2, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-292
|
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, 2, -3],\n [-1, 0, -2, 2],\n [2, -2, 0, 4],\n [-3, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4847
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, -1, -3, 2],\n [-1, -4, -2, -1],\n [-3, -2, -1, 2],\n [2, -1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
350
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[0, 0, -2, -2],\n [0, -2, -2, -3],\n [-2, -2, -2, 2],\n [-2, -3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, -3, -4],\n [-2, -1, -2, -2],\n [-3, -2, 4, 0],\n [-4, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8991
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[1, 1, 0, -2],\n [1, 0, 0, -2],\n [0, 0, 0, 2],\n [-2, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, 2, 2, 0],\n [2, -4, -2, -1],\n [2, -2, -1, -2],\n [0, -1, -2, 4]]\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[[-2, 1, 4, 2],\n [3, 0, 2, 3],\n [-1, 2, -3, -2],\n [1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
632
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 2, -1],\n [0, -4, -2, 0],\n [2, -2, 3, 2],\n [-1, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2710
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 4, -4, -4],\n [0, -4, -1, -3],\n [2, -1, 2, 3],\n [4, -2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6700
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 0, -2],\n [1, 1, -2, -2],\n [0, -2, -1, 4],\n [-2, -2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
837
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 3, 0],\n [3, 1, 2, 1],\n [-3, 0, 1, 1],\n [2, -1, 1, -4]], determine the sum of all entries.\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^4 where A is:\n[[-2, 3, -1, 3],\n [4, -1, -1, 0],\n [-1, -1, 1, 2],\n [-2, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
245
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -3, 4, -1],\n [-1, 1, 1, -1],\n [2, -3, -1, -2],\n [1, 4, -1, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 3, 4, 4],\n [0, 0, 1, 4],\n [4, 4, -4, 3],\n [1, 0, -1, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
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, 1, -4],\n [0, -4, 0, -2],\n [1, 0, 0, 4],\n [-4, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2776
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-4, 2, 3, -3],\n [0, 3, 3, 4],\n [-1, 2, -1, 3],\n [0, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -2, -2],\n [1, 2, 0, 0],\n [-2, 0, 4, 1],\n [-2, 0, 1, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
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, 1],\n [0, 0, 0, 0],\n [0, 0, 1, 1],\n [1, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
65
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -3, 3, 0],\n [3, -3, -3, 2],\n [2, 4, -3, 0],\n [-3, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-2, 3, 2, 2],\n [0, -1, 3, 1],\n [2, -4, -2, 0],\n [0, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, 1, 0],\n [-3, -2, 3, -2],\n [4, 4, 3, 2],\n [-3, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1614
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -1, 0, -2],\n [1, -4, 2, 1],\n [-4, 0, -2, 3],\n [2, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-448
|
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, 3],\n [-3, 1, -4, 2],\n [-4, 2, 3, -1],\n [1, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
670
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, 4, 3],\n [2, 1, 1, 2],\n [-1, 0, -2, 2],\n [1, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
330
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 1, -2],\n [4, 2, 0, 3],\n [0, 2, 2, 3],\n [2, -1, 2, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
115
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -2, 2],\n [0, 3, 0, 2],\n [-2, 0, -2, 2],\n [2, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
547
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, -2, 1],\n [2, -1, 3, 2],\n [-2, 3, -2, 1],\n [1, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
359
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -1, -3],\n [2, 4, 4, 2],\n [-2, 4, -2, 0],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1248
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -4, -3, 4],\n [-3, 1, 1, 4],\n [-3, 2, 3, 3],\n [3, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
595
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, -4, 3],\n [-2, 3, 2, 1],\n [-4, 2, 3, -4],\n [3, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
814
|
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, 1, 4],\n [3, -2, -2, -4],\n [1, 3, -3, -2],\n [-2, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5811
|
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, 0, -2],\n [0, 0, -3, 2],\n [1, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
606
|
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, -1, -3],\n [-4, 1, 3, -1],\n [3, -1, -2, 4],\n [-3, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4598
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, 3, 4],\n [-4, -1, 0, 0],\n [2, 1, 2, -3],\n [1, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
198
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 1, 0],\n [2, 2, -2, 0],\n [1, -2, -2, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1390
|
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, 0],\n [2, -2, 0, -2],\n [2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, 0, 0],\n [4, -1, 0, 2],\n [0, 0, 2, -2],\n [0, 2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7021
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, 2, -1, 2],\n [2, 1, 2, 2],\n [-1, 2, 3, 2],\n [2, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
344
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, -2, -3],\n [1, -3, 0, 0],\n [-2, 0, 4, 2],\n [-3, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1158
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 4, -3],\n [-2, 1, 1, 0],\n [4, -4, 4, -3],\n [-1, 4, -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[[3, 0, 0, 3],\n [0, -1, 1, 1],\n [0, 1, -1, 1],\n [3, 1, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
792
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 4, -1, 0],\n [-3, -1, 4, 0],\n [0, 3, -3, 0],\n [1, 2, -4, -1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 2, 0],\n [-2, -2, 0, 0],\n [2, 0, 2, -2],\n [0, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
282
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, 1, 0],\n [4, 1, -2, -3],\n [-1, -2, -1, -3],\n [3, 2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1444
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 3, 4],\n [0, -3, 4, 0],\n [2, 4, 3, -4],\n [-3, 3, 2, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
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, -2, -2],\n [-4, 4, 4, -3],\n [-2, 4, -2, -2],\n [-2, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3132
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, 2, -2],\n [-1, -4, 0, 0],\n [2, 0, -4, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
503
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, 4, -4],\n [-1, 1, 1, -3],\n [-4, 0, 1, 0],\n [0, -4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-57
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -1, 4],\n [0, 2, 2, 2],\n [4, -1, 2, 1],\n [-4, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-581
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -2, -2],\n [2, -3, -2, 1],\n [-2, -2, -3, 0],\n [-2, 1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4614
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, -3, 1],\n [-2, -1, 0, -1],\n [1, 3, -4, 4],\n [-3, -3, 3, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
296
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 4, -4],\n [0, -1, 0, 2],\n [4, 0, 1, 0],\n [-4, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1378
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 1, 1],\n [-1, 2, 4, 0],\n [-2, 1, 2, 3],\n [3, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
280
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, -3, -3],\n [-2, 4, 2, 1],\n [0, 4, -1, 0],\n [-1, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 2, 1],\n [-4, -2, -1, 0],\n [3, 4, 1, -2],\n [2, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
152
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, -2, 2],\n [-4, -3, 4, 4],\n [-2, -4, -2, -3],\n [2, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
446
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, 1, 0, 1],\n [1, -3, 3, 0],\n [-4, 0, 1, -2],\n [2, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-164
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, -2, -1],\n [-3, 1, 0, -3],\n [3, 4, -4, -1],\n [-1, 3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
342
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[1, 2, 0, 3],\n [2, 2, 2, 0],\n [0, 2, -1, 2],\n [3, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-427
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -4, 1, 1],\n [3, 4, 4, -2],\n [0, 2, 4, 2],\n [-1, 4, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
532
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -2, 3],\n [-1, -1, 0, 3],\n [-4, 2, -1, 4],\n [1, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-150
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, -1, 1],\n [-1, -1, 2, -1],\n [-1, 2, 0, -3],\n [1, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
565
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 0, -1, 0],\n [0, -1, 4, 4],\n [-1, 4, 4, -4],\n [0, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-145
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, -2, 1],\n [0, 2, -3, -4],\n [2, 3, -2, 4],\n [-4, -2, -4, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-19
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, -2, 3, -2],\n [0, 3, 3, 3],\n [-2, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, -2, 0],\n [-2, -3, 2, 3],\n [-2, 2, 4, -4],\n [0, 3, -4, 2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 3, 0],\n [0, -3, 1, -4],\n [3, 1, -1, -2],\n [0, -4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7687
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[3, 0, -1, 2],\n [0, -1, -2, 0],\n [-1, -2, 1, 0],\n [2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[4, -2, -2, -2],\n [-2, -2, -2, 2],\n [-2, -2, 3, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
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