messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -2, -2],\n [4, 4, -4, 0],\n [-3, 4, 2, 2],\n [-4, 4, -4, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-152
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, -2, -2, -1],\n [-2, 4, -1, 2],\n [-2, -1, 3, 0],\n [-1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-1, 0, 0, 1],\n [0, 4, 2, 0],\n [0, 2, -4, 0],\n [1, 0, 0, -1]]\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^3 where A is:\n[[-3, 2, 0, 2],\n [2, 0, 2, 2],\n [0, 2, -1, 0],\n [2, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
284
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[4, 3, 0, -3],\n [1, 2, 3, 0],\n [2, -4, -3, 3],\n [0, 4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -3, 4, 1],\n [3, -2, -3, -4],\n [-4, -2, 4, 1],\n [1, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 1, -2, 1],\n [1, 4, -3, 4],\n [2, 0, 2, 2],\n [3, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1414
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -3, -1, 0],\n [-1, -3, 2, 0],\n [3, 1, -4, 0],\n [-1, -3, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-82
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -2, 0],\n [-2, 1, 1, -4],\n [-2, 1, -1, -2],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-640
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, -4, 1],\n [4, 2, 0, -4],\n [-4, 0, -4, 0],\n [1, -4, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14573
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, -1],\n [1, 0, -3, -2],\n [-3, -4, -2, -2],\n [0, -3, -2, 4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-19
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, -1, 1],\n [2, 1, 0, -1],\n [-1, 0, -2, -1],\n [1, -1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
271
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -2, -2],\n [-2, -1, -2, -1],\n [-2, -2, 4, -4],\n [-2, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1236
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 3, 2, 2],\n [1, -2, 4, 1],\n [0, -2, -4, -4],\n [0, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
202
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, -2, 4],\n [1, 4, -4, -1],\n [4, -4, -3, 2],\n [0, -4, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2623
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, 3, 4],\n [4, 2, -1, 3],\n [4, 4, -4, 1],\n [-2, -2, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1151
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-3, 0, 4, -2],\n [0, -3, -1, 2],\n [4, -1, -1, 0],\n [-2, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-86
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -2, -2],\n [2, 0, -2, -2],\n [-2, -2, -2, 0],\n [-2, -2, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
545
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, 4, -2, 0],\n [-3, -4, 3, 4],\n [4, 0, 2, -1],\n [1, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
55
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -3, 3, 4],\n [2, 3, -1, 3],\n [2, 2, 2, 1],\n [-2, -3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-536
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -1, 3, 2],\n [3, 4, -1, -3],\n [0, -4, -3, 0],\n [-4, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6192
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 4, -1],\n [3, 4, -1, 1],\n [-4, 4, 4, 1],\n [-1, 3, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4758
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-4, 1, 2, 3],\n [-1, 4, -4, -2],\n [-3, 2, -4, 4],\n [-4, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-525
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, -2, 2],\n [2, 0, 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"
}
] |
2875
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, -2, 0, 1],\n [1, -1, 2, 0],\n [-1, -4, 1, -3],\n [-3, -4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-119
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, -1, 0],\n [0, -2, -2, 4],\n [-1, -2, -1, 1],\n [0, 4, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1039
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[0, 2, 1, 0],\n [2, -2, 2, 3],\n [1, 2, -2, 1],\n [0, 3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, -3, -4],\n [1, -4, 1, -4],\n [2, -2, 1, 1],\n [2, 0, -4, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-192
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 1, 4],\n [0, 4, 1, 1],\n [1, 1, 2, 2],\n [4, 1, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
796
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, -3, -1],\n [4, -2, 1, 3],\n [1, 1, -3, 1],\n [-2, -4, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
560
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, -1, 3],\n [1, -4, -1, 3],\n [2, -1, 4, 3],\n [-4, -2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-326
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[0, -3, -4, 1],\n [-4, -3, 3, 2],\n [-1, 0, 3, 1],\n [-3, -4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-65
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, 0],\n [2, 4, 0, -2],\n [0, 0, -1, 0],\n [0, -2, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 1, 0],\n [2, -1, -1, 0],\n [1, -1, -2, 0],\n [0, 0, 0, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, 2, -4],\n [-2, -3, -2, -2],\n [4, 0, -2, -1],\n [4, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2494
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, -3, -4],\n [-1, 2, 0, 0],\n [3, -2, 2, 0],\n [-4, 2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
627
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, 4, 3],\n [-3, -3, 1, 1],\n [-1, -2, -1, -4],\n [-4, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
505
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, 3, 0, 0],\n [0, 0, 3, -3],\n [2, 0, -3, -2]], determine the value at position (4, 2).\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^3 where A is:\n[[-4, -2, 0, -4],\n [-2, -3, 0, 0],\n [0, 0, 2, 2],\n [-4, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1363
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, -4, -4, 0],\n [-4, -1, 0, 0],\n [-4, 0, 4, 4],\n [0, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-192
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, 1, 0, 2],\n [-2, 0, 0, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
626
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, 4, -4],\n [0, -1, -2, -3],\n [1, -4, -2, -4],\n [-2, 2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
377
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 0, -2],\n [-2, -4, 0, 0],\n [0, 0, 0, -2],\n [-2, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
403
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, -2, -1, 0],\n [-2, 4, 1, -1],\n [-1, 1, -3, 0],\n [0, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
95
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[3, -3, 1, -1],\n [-3, 2, 1, 0],\n [1, 1, -2, 0],\n [-1, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, -2, -1, -3],\n [1, 4, -2, 1],\n [3, -4, 4, 2],\n [4, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1056
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, 1, 1],\n [-2, -1, -3, -4],\n [1, -3, -1, 0],\n [1, -4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3487
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, 3, -2],\n [4, -3, -4, -1],\n [0, 1, 1, 1],\n [2, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
668
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[0, 2, -4, -2],\n [2, 3, -2, 2],\n [-4, -2, 4, 2],\n [-2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, -2, -1],\n [-2, -2, 0, 4],\n [-2, 0, -1, -2],\n [-1, 4, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6534
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 0, -2],\n [2, -4, -2, 0],\n [0, -2, -3, 0],\n [-2, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
670
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, -1],\n [2, -2, 0, -4],\n [0, 0, 3, -2],\n [-1, -4, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1289
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -3, 0],\n [-3, -1, -1, 0],\n [3, -3, 2, 1],\n [2, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, 3, -4],\n [2, -1, -1, -3],\n [0, -3, 4, -3],\n [-1, 1, -3, 1]], determine the sum of all entries.\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 4th power of the matrix:\n[[-1, 0, -1, -2],\n [0, 4, 0, -2],\n [-1, 0, 1, 1],\n [-2, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2211
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, 3, 2],\n [3, 3, 1, -2],\n [3, 1, -4, 1],\n [2, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5229
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-3, 0, -3, -3],\n [1, 2, 1, -3],\n [-4, -4, -1, 0],\n [0, 4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, -1, 2],\n [1, 1, -3, 0],\n [3, 3, -2, 2],\n [2, -4, 4, 3]], determine the value at position (2, 1).\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 absolute values of all entries of the result:\nA =\n[[-2, 2, 0, 0],\n [2, 4, -1, 1],\n [0, -1, -2, -1],\n [0, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
347
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, -3, 3],\n [-1, -1, 2, 2],\n [2, -1, 0, 3],\n [-3, 4, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
69
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 0, 3],\n [4, 0, 1, -4],\n [2, 0, -4, 2],\n [-4, 2, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, 4, 0, -4],\n [-2, 1, -4, -4],\n [2, 3, 2, -1],\n [3, 1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
617
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 0, -2],\n [2, 0, -2, 0],\n [0, -2, 4, 2],\n [-2, 0, 2, 1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, 0, 2, 3],\n [0, 1, -1, 2],\n [2, -1, -2, 0],\n [3, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
744
|
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, 4],\n [-1, -3, -3, 2],\n [3, 3, 4, 4],\n [2, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1022
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 1, 4, 4],\n [4, -4, -3, 2],\n [2, 4, -4, 4],\n [1, 3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8778
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, -1, 1],\n [-1, -3, 4, -2],\n [3, 2, -3, -2],\n [-4, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1567
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[2, -2, 2, 0],\n [-2, 1, -2, -4],\n [2, -2, -1, -2],\n [0, -4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-362
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-3, 0, 4, 2],\n [0, 2, 2, 0],\n [4, 2, 4, 2],\n [2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
98
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 1, -2],\n [0, -2, -3, -2],\n [1, -3, 2, -3],\n [-2, -2, -3, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-89
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[3, 2, 3, 0],\n [3, 1, 4, 3],\n [1, 2, -4, -2],\n [-3, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
510
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 0, 2],\n [1, 4, 0, -4],\n [0, 0, 3, 2],\n [2, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
476
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 4, 3],\n [2, -3, -4, -1],\n [3, -4, 2, 2],\n [-4, -3, -4, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -1, 0],\n [-2, 1, 0, 2],\n [-1, 0, -2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2790
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 1, 1],\n [-4, -1, -2, 3],\n [-3, -4, -4, 0],\n [-4, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-256
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 0, -2],\n [-2, 1, 0, 2],\n [0, 0, 2, 0],\n [-2, 2, 0, 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 absolute values of all entries of the result:\nA =\n[[3, -1, 2, -2],\n [-2, 3, -1, -1],\n [4, 1, 0, -1],\n [2, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
555
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 0, 2],\n [0, 1, 0, 0],\n [0, 0, -3, 2],\n [2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2382
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[0, -3, -1, -1],\n [-3, -4, -3, 3],\n [2, -2, 1, 4],\n [3, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, 4, -1],\n [-3, 2, -3, 0],\n [2, 1, 1, 4],\n [-3, 3, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5160
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -1, 0],\n [-2, -2, -4, 0],\n [-1, -4, 4, 1],\n [4, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4886
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -2, -2],\n [0, 0, -2, 0],\n [-2, -2, 0, 3],\n [-2, 0, 3, -2]], determine the sum of all entries.\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 (2, 4) of the result:\nA =\n[[3, -4, 0, 2],\n [3, 4, 1, 3],\n [-4, 0, 2, 0],\n [-3, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
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, -2],\n [-3, 1, -1, 2],\n [1, -1, 0, 4],\n [-2, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
825
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, 0, 2, -2],\n [0, 2, -1, 2],\n [-2, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, -2, 0],\n [2, -4, -1, 0],\n [-2, -1, -4, -2],\n [0, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-166
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-4, 2, 1, 0],\n [2, 0, 2, -2],\n [1, 2, -4, 1],\n [0, -2, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-3, -1, 1, 1],\n [-1, 0, -2, 0],\n [1, -2, 3, 4],\n [1, 0, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 0, -1],\n [0, 0, -2, 0],\n [0, -2, -3, 0],\n [-1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
469
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-4, 2, -2, 0],\n [2, 2, 2, 1],\n [-2, 2, 2, 0],\n [0, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
260
|
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, 4, -2],\n [-3, 4, 3, 1],\n [2, 3, -3, 4],\n [4, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10340
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -3, 0, 1],\n [0, -2, 3, -2],\n [1, 3, -4, 0],\n [-1, 4, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
752
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, 4, -4, 1],\n [3, -3, -1, 1],\n [-2, 3, 2, 3],\n [2, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-4, -2, 1, -4],\n [0, 4, -3, 0],\n [3, 3, -1, -2],\n [3, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
81
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -4, -3, 1],\n [0, 2, 1, -4],\n [1, 4, 1, -4],\n [2, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1035
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, -4, -1],\n [2, 2, 0, 3],\n [-4, 0, -2, 0],\n [-1, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
298
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[2, 0, -2, 2],\n [0, -2, -3, -2],\n [-2, -3, -4, 2],\n [2, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-224
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, -2, 1],\n [-3, 1, -1, 4],\n [1, 4, 0, -4],\n [2, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-1, -3, 2, -1],\n [3, -3, -1, -3],\n [-4, 4, -4, 4],\n [0, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0, -2],\n [0, 0, 2, -4],\n [0, 2, 2, -1],\n [-2, -4, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
MATH
|
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