messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, 0, -2],\n [0, -2, 2, -4],\n [0, 2, -4, 0],\n [-2, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1643
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, -3, -1],\n [3, 2, -1, -3],\n [-2, 2, -3, -3],\n [0, 2, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
808
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, 0, 1, 0],\n [0, -2, -2, 1],\n [1, -2, 2, -3],\n [0, 1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 3, -3, 3],\n [2, 3, 1, -2],\n [-4, 3, 1, 3],\n [-1, 4, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
176
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 2, 0],\n [1, 3, 2, -4],\n [2, 2, -2, 3],\n [0, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -2, -1, 3],\n [-3, -4, -3, 1],\n [3, 3, 1, 0],\n [2, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6875
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 0, -1],\n [-2, -3, -2, 2],\n [0, -2, 3, 2],\n [-1, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, -4],\n [1, -2, -3, 4],\n [3, -4, 1, -1],\n [-2, 4, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11641
|
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 [2, -3, 2, 3],\n [2, 2, 4, -3],\n [-1, 3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1748
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, -4, 3],\n [4, -3, 4, 0],\n [-4, 2, -4, 1],\n [-2, -3, 4, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, -2, 4],\n [1, 0, 0, 0],\n [2, -4, 2, 0],\n [3, 2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
63
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -1, -1, 2],\n [0, 3, -4, 3],\n [2, 0, 0, 3],\n [-2, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, -3, -1],\n [0, -4, 1, -4],\n [-3, 1, 2, -2],\n [-1, -4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1159
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -1, 3],\n [3, -1, 0, -1],\n [-4, -4, 0, 1],\n [-3, 4, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
606
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -1, 1],\n [2, 4, 1, 0],\n [-1, 1, 1, -3],\n [1, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
804
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -3, 2, -3],\n [-3, 1, 0, 0],\n [2, 0, 1, 0],\n [-3, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10013
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-4, 0, -2, 0],\n [0, 0, 3, 2],\n [-2, 3, -1, 1],\n [0, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
390
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, 4, 0],\n [-2, 4, 3, 0],\n [1, 1, -2, 2],\n [0, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
470
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 1, -2],\n [0, -3, -2, 4],\n [0, 0, 1, 1],\n [1, -1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -1, -3],\n [2, 0, 2, 0],\n [-1, 2, 0, -2],\n [-3, 0, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
984
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -4, -1],\n [-3, 4, 4, -3],\n [-3, -1, 2, -4],\n [4, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8884
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, 1, 0],\n [2, -1, 0, -4],\n [1, 0, 3, -1],\n [0, -4, -1, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
287
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 0],\n [0, 1, 1, 4],\n [0, 1, 4, 4],\n [0, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19782
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, -2, -2, 0],\n [-2, 1, 0, -2],\n [-2, 0, 2, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 1, 2],\n [4, 1, 2, 0],\n [2, 3, -4, -1],\n [4, -4, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-235
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, -4, -2],\n [2, -4, 0, 2],\n [-4, 0, -4, -1],\n [-2, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1044
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, 4, 2, 1],\n [0, 2, 0, 0],\n [0, 1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3341
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, -1, -4],\n [-2, 4, -4, 3],\n [-1, 0, 2, 4],\n [-4, 3, -3, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1279
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 2, 4],\n [-2, -1, -2, 0],\n [-2, 3, 4, -4],\n [-4, 1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3841
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, -2, 2],\n [-4, 0, 2, -2],\n [-1, -3, 4, -3],\n [1, 3, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
960
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 1, 3],\n [3, -3, -4, -4],\n [4, -1, 1, 4],\n [3, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1299
|
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, -2, 0],\n [0, -1, 0, 1],\n [-2, 0, -4, 0],\n [0, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1849
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, 2],\n [-2, -3, -2, 0],\n [0, -2, 2, -2],\n [2, 0, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2866
|
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, 0, -3],\n [-3, -3, 2, 2],\n [-4, -3, -2, 2],\n [1, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1002
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 4, 1, -4],\n [3, -4, -2, -4],\n [4, -3, -3, -1],\n [3, 4, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1633
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -4, -4, 0],\n [-4, -4, 2, -4],\n [4, -1, 3, -1],\n [4, 1, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-164
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 1, -3],\n [-3, -4, -4, -3],\n [-1, -3, 2, -1],\n [0, -1, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1291
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-4, 0, 0, 0],\n [0, 2, 2, 2],\n [0, 2, -1, -1],\n [0, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[1, 1, 3, -2],\n [1, 3, -2, 0],\n [3, -2, 2, -1],\n [-2, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-306
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, 4, -3, -4],\n [0, -1, 4, 4],\n [4, 0, 4, 1],\n [0, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, 0, 2],\n [-2, -1, 2, 1],\n [0, 2, 2, 0],\n [2, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1432
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -3, 3, -1],\n [-3, 4, -4, 2],\n [3, -4, 0, -2],\n [-1, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3458
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 2, 2],\n [-2, 4, -3, -1],\n [-1, 0, -1, -1],\n [2, -4, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7946
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 4, 0, -3],\n [-3, 0, 0, 4],\n [1, 2, -3, -3],\n [-3, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
113
|
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, 2, -1],\n [-1, -4, -3, -3],\n [0, -3, -1, 2],\n [2, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12020
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, -4, 3],\n [0, 2, 0, -1],\n [2, 3, 2, -3],\n [-4, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
752
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -1, 2],\n [2, -2, -1, -2],\n [-1, -1, 4, 0],\n [2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
462
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, -2],\n [0, 2, 2, 2],\n [0, 2, -1, -2],\n [-2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-97
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, 0, 1],\n [-3, 0, -4, -4],\n [0, -4, -2, 0],\n [1, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13229
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, 0, -2],\n [0, -3, 1, 0],\n [0, 1, 1, -1],\n [-2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-263
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, 3, -2, 0],\n [3, -4, -2, -1],\n [-2, -2, 1, 0],\n [0, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 0, -3],\n [0, -2, 0, -1],\n [0, 0, -3, 0],\n [-3, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-91
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 1, 1],\n [-3, -4, 0, 2],\n [4, 3, -1, 0],\n [1, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4668
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, -4, 3],\n [-3, 0, 2, -3],\n [1, 2, -4, 4],\n [-4, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
401
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 1, 0, 0],\n [1, 3, 4, -2],\n [0, 4, 0, -1],\n [0, -2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2730
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[2, -2, 2, -4],\n [-2, -1, 4, 0],\n [2, 4, 1, -4],\n [-4, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
124
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 4, 3, -2],\n [3, -2, -1, 0],\n [4, 1, -2, -4],\n [-1, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2105
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 0, 0],\n [0, 1, -2, 0],\n [0, -2, 1, 2],\n [0, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
467
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, 1, -2],\n [-2, 0, 2, 1],\n [2, -4, -2, -4],\n [2, -1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1419
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, 0, -2],\n [-2, -4, 0, 0],\n [0, 0, 2, 0],\n [-2, 0, 0, -1]]\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[[1, 1, -2, -1],\n [1, 1, 0, -4],\n [-2, 0, 3, -2],\n [-1, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3908
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, 2],\n [2, 3, 0, 1],\n [1, 0, 1, 2],\n [2, 1, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3609
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 3, 0, 4],\n [-4, -3, -2, -4],\n [-4, -3, 0, -2],\n [3, -3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
623
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, 0, 2, -2],\n [0, -1, -2, -1],\n [2, -2, 4, -2],\n [-2, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, 4, -3],\n [3, 0, 4, -3],\n [4, -1, 0, -3],\n [-4, 1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10336
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, 0, 2],\n [0, 1, 4, 1],\n [0, 4, 0, -3],\n [2, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
686
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 2, 1],\n [0, 3, -1, -4],\n [0, 0, 1, 0],\n [0, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2611
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, -3, -1],\n [-4, -1, -4, 0],\n [-1, -3, 1, 1],\n [-3, 2, 4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
64
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -3, -3],\n [-2, 4, -3, -2],\n [-3, -3, -1, 2],\n [-3, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-415
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, 2, -2, 0],\n [2, -1, -1, 0],\n [-2, -1, 0, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, -1, 0],\n [-4, 2, -2, -4],\n [3, -4, 4, -3],\n [-4, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6150
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, 0, -2],\n [3, 3, 2, 2],\n [-1, -3, 2, 2],\n [4, 3, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-471
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, 2],\n [0, -1, -1, -3],\n [-2, -1, 2, 4],\n [2, -3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13494
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, 2, 2],\n [2, -2, -1, 2],\n [2, -1, -4, 2],\n [2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8623
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-2, 0, 2, 0],\n [0, 2, 2, 3],\n [2, 2, 3, 0],\n [0, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[4, 4, 3, 1],\n [4, 0, -2, -4],\n [2, 3, -3, 2],\n [-3, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1212
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 4, -2, -3],\n [4, 0, 1, -1],\n [-2, 1, 0, 0],\n [-3, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 0, 2],\n [0, 3, 0, -2],\n [0, 0, -1, 0],\n [2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2847
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 4, 2],\n [-3, -2, 0, -2],\n [-3, 1, 4, -2],\n [0, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-234
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 4, -2, -4],\n [2, -1, 3, -1],\n [2, 0, 1, -4],\n [0, 1, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
832
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, 3, 1],\n [3, 3, 1, -4],\n [4, 2, 2, 3],\n [-1, 4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1468
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, 2, 0],\n [0, 4, -2, 2],\n [2, -2, -4, -1],\n [0, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1020
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 1, 0],\n [0, 0, -1, -1],\n [1, -1, 0, 1],\n [0, -1, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
569
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 0, 2],\n [-3, 3, 2, -2],\n [0, 2, 0, 4],\n [2, -2, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
65
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, 0, -1],\n [-4, 2, 0, -1],\n [0, -4, 4, -3],\n [-4, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-228
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, -2, 4],\n [0, 4, -3, 1],\n [-2, -2, -1, 4],\n [2, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
888
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, 4, -4, -1],\n [3, 4, -2, -3],\n [0, -3, -1, -1],\n [4, 2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-79
|
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, 3, -1],\n [2, 0, -3, 1],\n [3, -3, -2, 2],\n [-1, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1148
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -3, 0, 1],\n [3, -4, 4, -3],\n [0, 4, 4, 3],\n [-3, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
131
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-3, -1, 1, -4],\n [2, 1, -3, -1],\n [1, 3, 2, 3],\n [1, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[0, -1, 2, 0],\n [1, -3, 3, 0],\n [0, 2, -3, 2],\n [3, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, 2, 0, 2],\n [2, 3, -2, -1],\n [0, -2, 0, 0],\n [2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 3, -3],\n [-1, 1, -2, 2],\n [0, -4, 0, -3],\n [2, 2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1231
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -2, 2, 2],\n [-2, 3, 0, -2],\n [2, 0, -4, 2],\n [2, -2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
665
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, 2, 0],\n [1, 2, -2, 0],\n [2, -2, -4, 0],\n [0, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
511
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[1, 0, 4, -3],\n [-4, 2, 2, -2],\n [-1, 2, -3, -3],\n [4, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
140
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -2],\n [-2, -3, 0, 1],\n [0, 0, -4, -1],\n [-2, 1, -1, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-41
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -3, -3],\n [-4, 1, -2, -1],\n [1, -1, 3, 3],\n [4, 0, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
510
|
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, 3, 1],\n [4, 3, 0, -2],\n [3, 0, -1, 0],\n [1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1357
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-2, 1, -4, 1],\n [-2, -2, 0, 3],\n [4, -3, -3, 1],\n [-1, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-73
|
MATH
|
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