messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 4, -3],\n [-2, 2, 0, -3],\n [0, -3, -4, -4],\n [-3, -3, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10197
|
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, 2, 0],\n [0, -4, 2, -4],\n [-4, 1, 1, -4],\n [4, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
872
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, 4, -3],\n [3, -3, 1, 4],\n [4, 0, -1, -3],\n [-1, -4, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2400
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -1, 2],\n [1, 3, -2, 4],\n [-1, -2, 3, 1],\n [2, 4, 1, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-106
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, 2, 3],\n [3, -3, -2, 3],\n [-4, -2, -2, 2],\n [-4, 0, -4, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, -4, -1],\n [0, -1, -1, 1],\n [1, 4, -3, -1],\n [3, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-66
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0, 3],\n [-4, 3, 3, -3],\n [-4, -2, 3, 1],\n [1, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
741
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -3, 1],\n [4, 0, 0, 2],\n [2, 3, -4, 4],\n [3, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, -3, -2],\n [0, 0, 1, -4],\n [-3, 1, 1, 2],\n [-2, -4, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3884
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, 3, -1],\n [-2, -4, -4, 1],\n [4, 4, 0, -1],\n [-3, 1, -3, 0]], determine the value at position (2, 2).\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, -1, 4],\n [-1, -1, 3, 0],\n [-3, 3, 2, -3],\n [-4, 0, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, -2, 0],\n [-2, -4, -2, -1],\n [-2, -2, 1, 0],\n [0, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-68
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, 2, -4],\n [0, 4, 2, 0],\n [2, 2, 0, 0],\n [-4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4601
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[0, -2, 0, 2],\n [-2, 1, 2, 2],\n [0, 2, 3, 2],\n [2, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-3, 0, 4, 0],\n [0, 2, -2, -1],\n [4, -2, 0, 2],\n [0, -1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, 2, 1],\n [-1, 2, 0, 0],\n [2, 0, -4, 0],\n [1, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
292
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 1, 2],\n [0, -2, 2, -2],\n [1, 2, 0, 0],\n [2, -2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1250
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -4, -4],\n [0, -3, -1, -4],\n [-2, 0, 4, -2],\n [1, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1060
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, 2, 2, 2],\n [2, 2, 2, -3],\n [2, 2, 1, 2],\n [2, -3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 0, 3, 0],\n [0, -1, -2, 0],\n [3, -2, -2, -1],\n [0, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 4, 4],\n [-4, 4, 1, 2],\n [2, -2, 3, 3],\n [-3, 3, -3, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-188
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 4, 2],\n [4, 0, 1, -1],\n [4, 1, 4, 2],\n [2, 3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
389
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -4, 3, -1],\n [-2, 1, 0, 4],\n [2, 4, 0, 1],\n [-2, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-231
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-4, 0, 0, 2],\n [0, 2, 2, -3],\n [0, 2, -3, 0],\n [2, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-168
|
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, -4, -3],\n [2, -2, -2, 2],\n [-4, 0, -4, 0],\n [-2, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
948
|
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, 1, 2],\n [-3, -1, 3, -2],\n [2, -2, 3, 0],\n [2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3200
|
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 [4, 2, -3, 4],\n [3, 3, -4, 2],\n [-2, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4247
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 0, -2],\n [4, 2, 0, 0],\n [0, 0, 2, -2],\n [-2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
718
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[4, 1, -3, 2],\n [1, 3, 2, 0],\n [-3, 2, 4, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-178
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -1, 2, 0],\n [-1, 4, -3, -4],\n [2, -3, 4, 2],\n [0, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3199
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, -1, 4],\n [2, 3, 0, -2],\n [0, -4, 4, 1],\n [2, 1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 2, 0],\n [0, 0, 0, 1],\n [2, 0, 2, 0],\n [0, 1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
525
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, 4, 2],\n [2, 1, 1, 3],\n [-4, 3, -2, -4],\n [0, 2, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3948
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, -2, 2, -1],\n [-2, -3, 3, 0],\n [2, 3, -1, 1],\n [-1, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, 4, 3],\n [0, 4, 4, 3],\n [-3, -2, -1, 1],\n [1, 4, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1294
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[4, -1, -3, 4],\n [-1, -3, 4, -4],\n [-3, 4, -4, 0],\n [4, -4, 0, 4]]\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, 0, -2, 2],\n [0, 0, 2, 0],\n [-2, 2, 2, 2],\n [2, 0, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2137
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, 3, 0],\n [-3, 0, 2, -3],\n [3, 3, 4, 1],\n [-1, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3654
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, -4, 4, 0],\n [-4, 1, 0, -1],\n [4, 0, 4, 2],\n [0, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 4, 2, -3],\n [4, 4, -4, 3],\n [-4, 4, -4, 2],\n [-1, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
184
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, -2, 0],\n [0, 1, -1, 0],\n [-2, -1, 1, -4],\n [0, 0, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, 4, 4],\n [-2, 4, 1, -2],\n [-2, 1, -1, 3],\n [2, 4, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7966
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 0, -2],\n [-1, -1, 0, -2],\n [0, 0, -2, -2],\n [-2, -2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-849
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -4, 3],\n [0, 0, -4, -4],\n [1, 4, -2, -4],\n [1, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
669
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 3, 2],\n [0, 0, 0, 0],\n [3, 0, 0, 0],\n [2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3454
|
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, 2, 0],\n [0, -2, 1, -4],\n [2, 1, -1, 2],\n [0, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
674
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-1, 2, -2, 0],\n [2, 1, -4, -2],\n [-2, -4, 0, 2],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-102
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[4, 0, -2, -2],\n [-3, 2, 3, 1],\n [0, -1, 3, -1],\n [-3, -1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-234
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 3, 3],\n [3, -2, 0, 3],\n [-1, 3, 1, -2],\n [3, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1783
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 4, -2, 3],\n [0, 4, 4, -3],\n [0, -2, 4, -2],\n [-3, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2760
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, 4, 2],\n [2, -2, 4, 2],\n [-2, -4, 2, -3],\n [2, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8941
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0, 4],\n [0, 3, -1, 0],\n [0, -1, 2, 1],\n [4, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2056
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 2, 2],\n [0, 1, 0, 0],\n [2, 0, -1, 1],\n [2, 0, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
230
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, -2, -1],\n [4, 1, 1, -4],\n [-3, 2, -3, -1],\n [3, 3, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-438
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, -3, -2, 0],\n [-3, 0, -2, -1],\n [-2, -2, 0, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
126
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -4, 2],\n [0, 0, -1, -2],\n [-4, -1, -3, -4],\n [2, -2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7882
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 3, 2],\n [3, 4, -2, -3],\n [1, -2, -3, -1],\n [-2, -4, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1532
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 3, 4],\n [3, -3, -3, 2],\n [-4, 1, -1, 4],\n [-4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1728
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 3, -4, -4],\n [4, 2, 4, -4],\n [-2, 4, 0, 2],\n [0, 3, -3, -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^3 where A is:\n[[-1, 0, -4, -2],\n [-2, -3, 0, -3],\n [-3, 4, -2, -4],\n [-1, -4, 2, 3]]?\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, -2, 0, 3],\n [4, -3, -3, 1],\n [4, 3, 2, 2],\n [-3, 0, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1468
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 3, 2, 0],\n [3, -3, -2, 0],\n [2, -2, -4, -2],\n [0, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-164
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 4, -4],\n [2, 2, -1, -1],\n [3, -1, 0, 3],\n [3, -4, -4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-297
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-4, 3, -2, -2],\n [3, 0, 1, -2],\n [-1, -1, -4, -3],\n [-4, 3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 0],\n [2, 3, -3, 0],\n [0, -3, -2, 2],\n [0, 0, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2570
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 2, -2],\n [0, -1, 2, 4],\n [2, 2, 4, 0],\n [-2, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5982
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-3, -2, 0, 1],\n [-2, 1, 2, 2],\n [0, 2, -3, -2],\n [1, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, -4, -3],\n [2, -3, 2, -1],\n [-3, -2, -4, 0],\n [1, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-338
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 4, 3, -4],\n [4, 2, 2, 2],\n [1, -1, 1, 3],\n [-1, 4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, 2, -2],\n [2, -1, 3, -1],\n [3, 2, 0, 3],\n [-1, -2, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
273
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[1, -3, -2, -4],\n [4, -2, 2, 0],\n [4, 1, 0, 0],\n [-2, -3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, 0, -2],\n [-2, 3, -2, 0],\n [0, -2, -4, 0],\n [-2, 0, 0, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, 0, 0, 2],\n [0, -2, 2, 0],\n [0, 2, -3, -4],\n [2, 0, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-296
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-4, 1, -3, -2],\n [-2, 0, 0, -2],\n [-3, -2, 3, 3],\n [-3, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
406
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, -3, 2],\n [4, -1, 4, -3],\n [-3, 4, 4, 0],\n [2, -3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
25577
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, -4, 0, 2],\n [3, -1, -4, 3],\n [4, -3, -4, -4],\n [-4, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
614
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-2, 4, -3, 1],\n [1, 4, 1, -3],\n [1, -1, 4, 0],\n [-1, -3, 1, -1]]?\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[[2, 2, -4, 2],\n [2, -2, 2, 0],\n [-4, 2, -1, 2],\n [2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1321
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, 2, 0],\n [4, 4, -2, -2],\n [2, -2, -2, 2],\n [0, -2, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
235
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 0],\n [0, -1, 2, 0],\n [2, 2, 3, 0],\n [0, 0, 0, 2]], determine the value at position (1, 2).\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 all entries of the result:\nA =\n[[-1, 0, 0, 0],\n [0, 4, 2, -2],\n [0, 2, 0, -1],\n [0, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
119
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 0, 0],\n [0, -3, 4, -2],\n [0, 4, 2, 1],\n [0, -2, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
86
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[4, 2, 0, 0],\n [2, 0, 0, 0],\n [0, 0, 1, -2],\n [0, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -3, 0],\n [-3, 0, -1, 2],\n [2, -1, 2, 3],\n [1, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
335
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, -4, -1],\n [-1, 3, -1, -1],\n [-1, 4, -4, 3],\n [3, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -2, 0],\n [-2, 1, 2, 0],\n [-2, 2, 2, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
849
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, -3, -2],\n [3, 2, 3, 0],\n [4, 1, 4, 1],\n [-2, 3, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
792
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 3, 3],\n [2, -2, -3, -4],\n [4, 3, 0, 3],\n [0, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
806
|
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, 1, 4],\n [0, -4, 4, -3],\n [-2, -2, 2, 0],\n [-3, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
651
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-1, -1, 2, -1],\n [-1, -1, 2, 4],\n [2, 2, 2, -2],\n [-1, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 0, -2],\n [1, 2, 0, -2],\n [0, 0, -2, 0],\n [-2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
383
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, -4, -3],\n [-3, 2, 3, 1],\n [3, 1, 4, -1],\n [-1, 3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
692
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -1, 3, 2],\n [3, 2, -3, 2],\n [0, 3, 2, 3],\n [4, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[0, -3, -1, -2],\n [-2, -2, -2, 4],\n [3, 0, -4, 3],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
448
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[3, 2, -3, 4],\n [-1, -4, -3, 1],\n [0, 0, -1, 3],\n [-2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, 0, 2],\n [-3, -4, 2, -2],\n [1, 2, 2, 3],\n [4, -4, 0, -3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
87
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, -2],\n [-4, 1, -1, 0],\n [1, -1, -1, 1],\n [-1, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-306
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 1, 4, 0],\n [-2, 0, 4, -4],\n [-4, 1, 2, -3],\n [4, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-236
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 0, -3],\n [0, -1, -4, 3],\n [0, -4, -4, -2],\n [-3, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6077
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, -2, 0],\n [-1, 2, -4, 2],\n [-2, -4, -1, -1],\n [0, 2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2714
|
MATH
|
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