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^4 where A is:\n[[3, 0, 2, 0],\n [0, 1, 0, 4],\n [2, 0, -2, -2],\n [0, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6598
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, 0],\n [0, 4, -2, 1],\n [-2, -2, 4, 2],\n [0, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
769
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, -4, 2, -1],\n [3, -4, 2, -1],\n [-3, 2, -2, -2],\n [4, 0, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
135
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[2, 1, 0, 3],\n [1, 3, -2, -2],\n [0, -2, 0, 0],\n [3, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -1, 2],\n [-2, 0, -2, 2],\n [-1, -2, -2, -2],\n [2, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8282
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, -1, 3],\n [1, -4, 1, -3],\n [3, 1, 0, -2],\n [-3, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
388
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, 2, -1],\n [-2, -2, -2, 0],\n [2, -2, 3, 2],\n [-1, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-4, -2, 2, -1],\n [-2, 2, 4, 3],\n [2, 4, -1, 2],\n [-1, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1567
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, 4, 2],\n [-3, -2, -4, -3],\n [4, -2, 0, -2],\n [3, 1, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9661
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-3, -2, -3, -2],\n [3, 1, 0, 4],\n [0, 1, -1, 4],\n [-2, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-87
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -4, -2],\n [0, 4, 2, 2],\n [-4, 2, 2, 2],\n [-2, 2, 2, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1168
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 0, 0],\n [2, -3, 1, 0],\n [0, 1, 1, 0],\n [0, 0, 0, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-4, 1, 2, 2],\n [1, -3, 2, -4],\n [2, 2, 4, 3],\n [2, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-949
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, -1, -2, 4],\n [-3, -1, 2, 4],\n [-1, 1, -3, -3],\n [-3, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, -2, -2],\n [-1, -1, 2, -4],\n [-2, 2, 3, -1],\n [-2, -4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-942
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, -2, -3],\n [-4, -4, 3, -1],\n [-4, 3, 4, -3],\n [3, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1152
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 4, 4, 3],\n [-1, 0, -2, -3],\n [1, 3, -4, -3],\n [4, 2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8352
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -4, 4, -4],\n [-4, -1, -4, -3],\n [1, 0, 1, -2],\n [-4, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9018
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 0, 2],\n [1, -2, 0, -1],\n [0, 0, -2, 0],\n [2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
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, 0, -1],\n [0, -4, 1, 2],\n [0, 1, 0, 0],\n [-1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
306
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, -1, 3],\n [2, 3, 2, -3],\n [2, -2, -3, -2],\n [-1, 4, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1978
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 0, -3],\n [0, 4, 0, 2],\n [0, 0, 4, 0],\n [-3, 2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
512
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, 1, -1],\n [2, -1, 0, 0],\n [1, 0, -4, 2],\n [-1, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
121
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, 0, 0, 0],\n [0, -3, 1, 2],\n [0, 1, -1, 2],\n [0, 2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -1, 2],\n [-3, -3, 0, -4],\n [4, 2, -4, 2],\n [-1, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
988
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 4, -1],\n [2, -4, 4, -4],\n [-3, -4, 2, 4],\n [0, 3, 1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-142
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 4, 2],\n [1, 1, -1, -1],\n [4, -1, -4, 1],\n [2, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4477
|
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, 0, 4],\n [-3, -4, -1, 0],\n [0, 2, 1, 2],\n [-1, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3766
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 0, -3, -2],\n [0, 0, 3, 1],\n [-3, 3, -1, 0],\n [-2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
423
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -4],\n [-2, -2, 4, 1],\n [0, 4, -4, 3],\n [-4, 1, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
335
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-1, -3, -1, 2],\n [-3, 2, 1, 0],\n [-1, 1, 1, -3],\n [2, 0, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-35
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -4, 4],\n [0, 2, 0, 4],\n [-4, 0, 2, -2],\n [4, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
690
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -4, -2],\n [3, 3, -4, 3],\n [-2, 1, 0, -2],\n [1, 1, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1088
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, -3, 0],\n [-3, 2, 1, -1],\n [1, 3, 0, -1],\n [1, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-70
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 3, -2, -2],\n [3, 3, 2, 0],\n [-2, 2, -4, 1],\n [-2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, 0, -2, 0],\n [0, -1, -4, -3],\n [-2, -4, 1, 0],\n [0, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
564
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 1, 0],\n [-3, 1, 1, 0],\n [2, -3, 3, 2],\n [-2, -4, 4, 4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 3, -1],\n [0, -1, -1, 4],\n [-3, 3, 4, -2],\n [2, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, -1, 0, 0],\n [-1, 3, 2, 3],\n [0, 2, 3, -2],\n [0, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-63
|
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, 0],\n [0, 0, -4, 3],\n [3, -3, -3, 1],\n [-3, -3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3564
|
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, 0],\n [0, -4, 0, 1],\n [0, 0, -1, 0],\n [0, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
132
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 2, 2],\n [2, 2, -1, 0],\n [2, -1, -1, 1],\n [2, 0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1846
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, 3, 1],\n [-4, -4, 1, 4],\n [0, -2, 1, -3],\n [0, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
86
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 3, 1],\n [0, -4, -3, -2],\n [3, -3, -3, 0],\n [1, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-809
|
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, 4, 3],\n [3, -3, 3, -3],\n [2, 3, -3, 4],\n [-4, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1830
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 3, -4],\n [0, 1, -2, 0],\n [3, -2, 4, 0],\n [-4, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
268
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0, 0],\n [2, -2, -2, 2],\n [0, -2, -2, -4],\n [0, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-384
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 0, 0],\n [-3, -2, 1, -2],\n [0, 1, 2, 3],\n [0, -2, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-180
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, -4, 0],\n [2, -1, -3, 0],\n [-4, -3, -1, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6645
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, -1, -4],\n [4, 4, 3, -3],\n [4, -3, -3, 4],\n [-3, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
655
|
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, 0, 0],\n [4, 0, 1, -2],\n [0, 1, -1, -2],\n [0, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5810
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-3, -1, 1, 0],\n [1, -1, -4, 3],\n [-1, 4, 3, 0],\n [4, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
122
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -4, 0],\n [-4, -3, 1, 1],\n [-3, 2, 3, -4],\n [-4, -4, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-95
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 2, 2],\n [3, 2, 0, 4],\n [-4, 4, -3, 4],\n [4, 2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5417
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, -1, -2],\n [3, 1, -1, 4],\n [4, 0, -1, 4],\n [0, -3, 3, -4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
537
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 1, -2, 3],\n [-3, -3, 3, -2],\n [-1, -2, -2, 2],\n [3, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
274
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 0, 0],\n [-1, -3, 1, -3],\n [0, 1, 1, 1],\n [0, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
423
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 3, 3],\n [0, 0, -1, 2],\n [-3, -1, -3, 3],\n [-4, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-428
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, -2, 0],\n [-3, -1, 3, 0],\n [-2, 3, 4, -1],\n [0, 0, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1094
|
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, 3, 2],\n [-1, 3, 4, -1],\n [2, -2, 2, 3],\n [3, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4542
|
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, -1],\n [2, 1, -1, 1],\n [2, -1, -2, -2],\n [-1, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
555
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 0, 0],\n [0, 0, 2, -4],\n [0, 2, 2, 0],\n [0, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-323
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [2, 1, -2, 0],\n [0, -2, -4, 1],\n [0, 0, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1646
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -4, 2],\n [-2, 2, -2, -1],\n [-4, -2, 4, 4],\n [2, -1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1770
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, 1],\n [-2, 2, 3, 0],\n [-3, -4, -3, 4],\n [-3, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1387
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 4, -3, 0],\n [2, 3, 4, 4],\n [3, 0, 4, -1],\n [4, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17122
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 1, -2],\n [-2, -4, 0, 0],\n [1, 0, 1, -4],\n [-2, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
863
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[4, 3, 2, 3],\n [-3, 3, -3, 1],\n [-2, 3, -3, 4],\n [-2, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-1, 2, 2, -2],\n [2, 4, 0, 1],\n [2, 0, -3, -2],\n [-2, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
325
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 3, -3, -2],\n [2, 1, -4, 2],\n [1, -4, 2, 4],\n [2, 3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1253
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, 1],\n [-3, 4, -4, -2],\n [3, 4, 2, 1],\n [2, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 1, 1, 2],\n [1, 0, -4, 0],\n [0, 2, -4, 0],\n [2, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2907
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, 2, -2],\n [3, -2, -3, -3],\n [2, -3, -1, -4],\n [-2, -3, -4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
25284
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -4, -2],\n [-3, 2, 2, -3],\n [-4, 2, -4, 0],\n [-2, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1704
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, 3, 0, -1],\n [1, 3, -2, 4],\n [-2, 1, -1, -4],\n [-2, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-191
|
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, -3, 2],\n [3, -1, -4, 4],\n [3, -3, 0, 3],\n [4, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2442
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 4, 2],\n [-3, 0, 4, -2],\n [1, -1, 4, 2],\n [-3, -1, 1, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, 0],\n [-2, -3, 1, 1],\n [0, 1, 1, 4],\n [0, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
733
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -4, -4, 2],\n [2, -1, 2, -1],\n [0, 0, 0, 3],\n [4, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-288
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, -1, 0],\n [2, 1, 2, 0],\n [-1, 2, -4, 0],\n [0, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2572
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 3, 0],\n [-1, -3, -2, 0],\n [3, -2, 3, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
546
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, 1, 2],\n [-4, 3, 4, 4],\n [3, 4, 0, 2],\n [-2, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
862
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 2, -1],\n [4, -1, 0, 2],\n [-2, -2, -1, 4],\n [-3, -2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
470
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-4, 1, 0, -4],\n [1, 0, 2, 2],\n [0, 2, -4, -1],\n [-4, 2, -1, -1]]\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, 1) of the result:\nA =\n[[3, 0, -1, 1],\n [0, 0, 3, -2],\n [-3, 3, 0, 2],\n [-1, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-51
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 3, 0, 1],\n [3, -3, 0, 0],\n [0, 0, 2, -3],\n [1, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1154
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 3, 1, -1],\n [-4, 1, -1, 0],\n [-1, 1, 2, -2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
254
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 1, -2, -1],\n [1, 1, 2, 0],\n [-2, 2, 0, 2],\n [-1, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1320
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 2],\n [0, -3, 0, -4],\n [0, 0, 1, -4],\n [2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-722
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -4, 4, -1],\n [-1, -1, -3, -1],\n [0, 1, -4, -1],\n [-4, -4, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1308
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-3, -3, 3, 4],\n [-3, -1, -2, 3],\n [-2, -1, 1, 2],\n [-3, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
134
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[3, 2, 2, 0],\n [2, 3, 0, 0],\n [2, 0, -2, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-104
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, 0],\n [0, 2, 3, 0],\n [-2, 3, 0, 0],\n [0, 0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
51
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, 1, 3],\n [-3, -4, -3, 1],\n [-2, 3, -1, -4],\n [2, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1451
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, 2, 2],\n [-3, -1, -2, -2],\n [-2, 0, -4, -2],\n [-3, 4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
416
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 1, -1],\n [-2, 4, 0, 0],\n [2, -3, 0, 2],\n [-4, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1576
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[4, -2, -2, -4],\n [-2, 4, 0, 1],\n [-2, 0, -4, -1],\n [-4, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-47
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, 0],\n [2, -3, 2, 0],\n [0, 2, 0, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-147
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, 1, 0],\n [-3, 2, -3, -2],\n [1, -3, 2, -1],\n [0, -2, -1, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, -2, 0],\n [-1, -4, 0, -2],\n [0, 1, -4, 4],\n [-2, 3, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
848
|
MATH
|
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