messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 2, 1],\n [2, 3, -2, 0],\n [2, -2, 1, 0],\n [1, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1772
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-4, -2, 3, 2],\n [-2, 3, -2, -1],\n [3, -2, -2, 0],\n [2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-1, 1, 4, 2],\n [1, 1, -4, -3],\n [4, -4, 1, 0],\n [2, -3, 0, 2]]\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[[-2, 0, -2, -3],\n [-4, -2, 3, -2],\n [3, 2, -4, -3],\n [-3, 3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1018
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 0, -2],\n [-2, -2, -2, -2],\n [0, -2, 4, 0],\n [-2, -2, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[3, -2, 0, 0],\n [-2, 3, 2, 0],\n [0, 2, 3, 0],\n [0, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, 2, 0],\n [4, -3, 3, 3],\n [3, -3, 1, -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": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 0, 0, 1],\n [0, 1, 2, 1],\n [0, 2, 0, -2],\n [1, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 1, 2],\n [-1, -1, -2, 0],\n [1, -2, -4, -4],\n [2, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-459
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[0, 0, -2, 0],\n [0, -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"
}
] |
896
|
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 [1, 1, 0, -1],\n [2, 0, 4, 3],\n [0, -1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
482
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, 0, -1],\n [0, -4, -3, -3],\n [2, -3, 1, 4],\n [0, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1014
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 0, -2, -1],\n [0, 1, 1, -2],\n [-2, 1, -3, -2],\n [-1, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-376
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 2, 0],\n [2, 3, -2, 0],\n [2, -2, 0, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
834
|
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, -3, 0],\n [1, 2, 3, 2],\n [-4, -2, 1, -2],\n [-2, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1223
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-3, 4, -2, -3],\n [3, 1, -4, 1],\n [-2, 0, 2, 0],\n [-3, -4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
675
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[0, -4, -3, -2],\n [-4, 2, 1, -2],\n [0, 4, -2, 0],\n [3, 2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
342
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 0],\n [0, 4, 2, 2],\n [0, 2, -1, 0],\n [0, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1702
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[3, 2, 2, -2],\n [2, 0, 0, 0],\n [2, 0, 0, -2],\n [-2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, 2, 4],\n [-3, -3, -2, 0],\n [2, -2, -3, 0],\n [4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3554
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -3, -3],\n [1, 3, -4, -1],\n [1, 2, -1, -1],\n [1, -2, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
802
|
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, 0, 0],\n [-2, 3, -3, 1],\n [0, -3, -2, -2],\n [0, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
585
|
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, 2, 0],\n [0, 2, 1, 0],\n [0, 0, 0, -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 absolute values of all entries of the result:\nA =\n[[-1, -1, 2, 2],\n [-1, -1, 2, 0],\n [2, 2, -4, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4285
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 2, 2],\n [-2, -4, 2, 3],\n [2, 2, 2, 0],\n [2, 3, 0, 4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-430
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, 3, 4],\n [3, 3, 4, 3],\n [1, 0, -4, -1],\n [4, -4, 2, -1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 0, 1],\n [0, 2, 3, 0],\n [0, 3, -2, -2],\n [1, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1228
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 0, 0],\n [2, -2, -2, -3],\n [0, -2, 0, 0],\n [0, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-311
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 0, 0, 2],\n [0, -4, -1, 0],\n [0, -1, 3, 0],\n [2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[4, 2, -1, 4],\n [-4, 1, 4, -2],\n [1, -2, 3, -3],\n [-2, 4, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 0, 0],\n [0, 1, -2, 0],\n [0, -2, 4, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
157
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 0, 4],\n [2, 1, -2, 1],\n [0, -2, 0, 2],\n [4, 1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8662
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[3, -2, -2, -1],\n [3, 1, 1, -4],\n [4, 1, -1, 1],\n [-2, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 4, -2],\n [-2, -1, 1, -2],\n [4, 1, -4, 0],\n [-2, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1105
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, 0, 2],\n [-4, 0, 3, -2],\n [0, 3, 2, -2],\n [2, -2, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
490
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, 1, -2, -1],\n [-3, -1, -3, -2],\n [2, 1, 0, 0],\n [-1, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, 1, -1],\n [2, 4, -1, -2],\n [1, -1, 2, 0],\n [-1, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
473
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 3, -1, -3],\n [2, 1, -1, 1],\n [-2, 0, -2, -4],\n [-2, -2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
742
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[2, -2, 0, 0],\n [-2, -3, 0, 0],\n [0, 0, 4, 0],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -2, 0],\n [0, 2, 2, 0],\n [-2, 2, 2, 2],\n [0, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
802
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, 0, -4],\n [2, -2, 2, -1],\n [3, -2, 2, 4],\n [3, -3, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1260
|
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, 4],\n [-1, 3, -2, 2],\n [-3, 4, 4, 4],\n [-2, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6044
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1, 2],\n [-2, 3, -1, -2],\n [-1, -1, 4, 2],\n [2, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
654
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 1, -1, -3],\n [0, -2, -3, -1],\n [-3, -1, 0, 3],\n [-3, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
405
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 3, 3, -1],\n [0, 3, -1, -4],\n [0, -1, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
750
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 1],\n [3, 2, -1, -4],\n [0, 2, 1, 3],\n [4, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
192
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, -1, 4],\n [2, 1, 0, 0],\n [-1, 0, 4, -2],\n [4, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2694
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, -2, 0],\n [2, -2, -2, 0],\n [-2, -2, 2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3009
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, -3, 1],\n [2, 1, 2, -2],\n [0, -3, 2, -1],\n [4, -1, -2, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-2, 0, 2, -1],\n [0, 3, 0, -3],\n [2, 0, 3, 2],\n [-1, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, -1, -4],\n [4, 0, -1, -3],\n [1, 2, 4, -2],\n [-1, -4, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
419
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, -1, 1, 1],\n [-1, 2, 2, 2],\n [1, 2, -4, 0],\n [1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 4, 3, 0],\n [2, 3, 1, -3],\n [4, -1, 4, -2],\n [4, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
838
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 0, 2],\n [3, 3, 2, 4],\n [0, 2, 4, -2],\n [2, 4, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2619
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 2, 2],\n [0, -3, 4, 2],\n [2, 4, -4, -3],\n [2, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38787
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, 0, 0],\n [1, 0, 1, 1],\n [0, 1, 3, 1],\n [0, 1, 1, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 0],\n [-2, -2, 1, -2],\n [0, 1, -2, -2],\n [0, -2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-371
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -3, 0],\n [2, -1, 4, 4],\n [1, 4, 1, 3],\n [-4, -4, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-564
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-4, 1, 0, -4],\n [-4, 3, -2, -3],\n [-2, -2, -1, 2],\n [2, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-49
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, -1, 2],\n [1, 2, 3, 3],\n [2, -3, -2, -1],\n [-3, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-153
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -3, -1],\n [-3, 3, -2, 0],\n [-1, -2, -2, 3],\n [4, -2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
489
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -2, 2],\n [-4, -1, -3, 1],\n [-2, -3, -4, 0],\n [2, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11459
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, 2, -1, 0],\n [0, -1, 3, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
162
|
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 [0, -3, 3, -3],\n [-2, 1, -3, -3],\n [-2, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
99
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, -2, 1],\n [-2, -1, 2, 1],\n [-2, 2, 1, 1],\n [1, 1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
275
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 3, -1, -1],\n [0, -3, -1, 3],\n [-1, -2, -1, -2],\n [-3, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-284
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -1, 3],\n [2, -1, 0, 3],\n [3, 0, 0, -1],\n [4, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8592
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, -3, -1],\n [-3, -3, -2, 0],\n [2, 0, -4, 0],\n [2, 1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-696
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 0, 2],\n [0, -2, 3, -2],\n [0, 3, 2, 0],\n [2, -2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1175
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-1, -2, 0, 0],\n [1, 4, 1, 4],\n [-1, -1, -2, -3],\n [-4, 3, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-436
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -2, -3, 0],\n [-2, -2, -2, 3],\n [-3, -2, 1, 2],\n [0, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2886
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, 3, -4],\n [-1, 2, 2, 1],\n [4, -1, 0, -1],\n [-1, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
412
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -4, 3],\n [-1, -3, 2, 4],\n [-4, 0, 1, -4],\n [-3, -3, -4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1346
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 4, -3],\n [1, -2, -3, 2],\n [4, 2, 4, 1],\n [1, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5834
|
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, 0, 0],\n [-1, 0, -1, -2],\n [0, -1, 0, 2],\n [0, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
197
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 4, -1],\n [-1, -1, 4, -1],\n [-2, -1, -2, 4],\n [3, 2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7483
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, -2],\n [0, 1, -2, 0],\n [2, -2, -2, 2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
502
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -1, -1],\n [-2, 1, -2, -1],\n [-3, -1, 0, 0],\n [0, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2201
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[1, -1, 3, -1],\n [-1, -4, -1, -2],\n [3, -1, 3, -3],\n [-1, -2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, 2, -2],\n [-2, 2, 1, 0],\n [2, 1, -3, 0],\n [-2, 0, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
548
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 3, -3, -3],\n [2, 1, 4, 1],\n [-3, -2, -4, 2],\n [0, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3466
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 4, -4, 0],\n [-2, 1, -4, -3],\n [-2, 3, -1, 2],\n [3, -1, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
264
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-3, -2, -2, -2],\n [-3, -4, 2, 2],\n [3, 0, -4, -1],\n [4, 2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, 1, 0],\n [3, -2, 2, 2],\n [0, -2, -3, -4],\n [4, 0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1395
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, -2, 2],\n [-2, -4, 0, 2],\n [-2, 0, 1, 0],\n [2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
971
|
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, 1, 3],\n [2, -1, 0, 0],\n [1, 0, -1, 0],\n [3, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4533
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[0, -1, -1, 3],\n [-1, 0, 4, 0],\n [-1, 4, 0, 0],\n [3, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
168
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, 1, -2],\n [1, -3, 0, -2],\n [1, 0, -1, -1],\n [-2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1154
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[1, -1, 4, -2],\n [-4, 2, -2, 1],\n [-1, 0, -3, -2],\n [4, -2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 2, -1],\n [-2, 4, 0, 1],\n [-4, -1, -3, 1],\n [4, -4, 4, 4]]\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[[-3, 2, -1, 2],\n [1, -4, -2, -3],\n [-1, 0, 2, 2],\n [2, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1404
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 0, 4],\n [3, 2, 0, 1],\n [0, 0, 4, 4],\n [4, 1, 4, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1590
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, -2, -2],\n [-2, -4, 2, -4],\n [-2, 2, -3, -1],\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"
}
] |
7370
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, -3, -1],\n [2, 0, 3, 2],\n [-4, -1, -2, 1],\n [3, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-130
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, -3, 4],\n [3, -4, 1, 1],\n [3, -2, 1, 1],\n [4, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8046
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, 4, 0],\n [-1, -1, 1, 2],\n [4, 1, 0, 0],\n [0, 2, 0, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
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, 1, 2],\n [0, -1, -1, 3],\n [1, -1, -2, 0],\n [2, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
373
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 3, 0],\n [-2, -2, -4, 2],\n [3, -4, 4, -1],\n [0, 2, -1, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-2, -1, 0, -1],\n [-1, 4, -2, -3],\n [0, -2, 4, 0],\n [-1, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
801
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, 1, 2, 2],\n [1, -3, 0, 0],\n [2, 0, 0, -3],\n [2, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
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