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[[1, -3, 0, 4],\n [-3, -3, 0, 2],\n [0, 0, -3, 2],\n [4, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9325
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-4, 0, 0, 1],\n [0, 1, 3, 0],\n [0, 3, -2, 4],\n [1, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-69
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, -3, 3],\n [1, -4, 1, 3],\n [-2, 0, 2, -1],\n [-4, 4, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-2, -2, 2, 0],\n [-2, 4, 1, -2],\n [2, 1, -1, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-4, 2, 2, -1],\n [1, 4, -1, 0],\n [-1, -4, -2, 1],\n [3, -4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 3, -4],\n [-4, 1, 1, 2],\n [-4, 2, -2, 3],\n [1, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1110
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, -2, 1],\n [4, 1, 1, 3],\n [2, -4, 4, 2],\n [-2, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2343
|
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, -2, 2, 0],\n [4, 2, 2, 4],\n [1, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1352
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, 0, 3],\n [-1, 4, 3, 4],\n [-3, -3, 1, 2],\n [-2, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-698
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, -1, -2],\n [-2, -2, -1, 2],\n [-1, -1, -4, 0],\n [-2, 2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-726
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 4, -3, 4],\n [-2, 2, -1, 1],\n [-1, 2, -1, -1],\n [4, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
655
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, -2, 4],\n [-1, 4, 3, 1],\n [-1, 1, -1, -2],\n [3, 3, 1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, 0, 3, 3],\n [-4, 3, -1, 0],\n [0, -4, 2, 1],\n [1, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1399
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 2],\n [0, -4, 0, -2],\n [2, 0, -3, 0],\n [2, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2430
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, -1, -2, -2],\n [-1, 2, 0, -2],\n [-2, 0, -4, 0],\n [-2, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, -1, 3],\n [0, -2, 0, 2],\n [-1, 0, 0, 0],\n [3, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-74
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 3, -1, -1],\n [1, 4, -4, -3],\n [4, 3, -3, -4],\n [4, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
716
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, -2, 0],\n [-2, 4, 2, 0],\n [-2, 2, -4, -2],\n [0, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-214
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 0, 1],\n [2, 2, 1, 1],\n [0, 1, 4, -1],\n [1, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
224
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 0, 0],\n [1, -1, 2, -2],\n [0, 2, -3, 0],\n [0, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1247
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 0, -2],\n [-2, 2, 3, 4],\n [0, 3, 0, 0],\n [-2, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
339
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, -2, 2, 0],\n [-2, 0, 0, 4],\n [2, 0, 1, -1],\n [0, 4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-74
|
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, 0],\n [-1, -3, 0, 0],\n [0, 2, 2, 2],\n [4, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1611
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 3, 3],\n [-2, 4, 3, 0],\n [4, 0, 1, 4],\n [-1, -1, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6768
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, -3, 2],\n [3, -1, -1, -4],\n [0, -4, -1, 2],\n [-3, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-82
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, -1, -2],\n [-3, 1, 1, -1],\n [-4, -4, 4, 4],\n [-2, -2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1707
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 1, 0, 2],\n [1, 1, 2, 1],\n [0, 2, -3, 0],\n [2, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
243
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -2, 3],\n [2, -1, -2, 0],\n [-2, -2, -1, 2],\n [3, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
380
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 0, -3],\n [2, -1, 2, 0],\n [0, 2, 0, -2],\n [-3, 0, -2, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 0, 0],\n [-4, 2, 3, -2],\n [-4, 0, 1, -4],\n [2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-90
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -2, 0],\n [0, -1, -3, 0],\n [-2, -3, 4, 0],\n [0, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
453
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, 3, 0],\n [1, 4, 2, 3],\n [4, 3, -2, 3],\n [3, 0, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
175
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 2, 0],\n [-1, 2, 2, 0],\n [2, 2, -3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
75
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -2, -4],\n [-1, -2, 2, 0],\n [-1, -4, 3, 3],\n [-3, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1064
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 3, 0],\n [-1, -1, 0, 0],\n [1, -3, -3, 4],\n [-1, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
112
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, -3, -2],\n [1, 0, -2, -2],\n [-3, -2, 1, -2],\n [-2, -2, -2, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -4, -4, 4],\n [-1, 3, 4, -2],\n [-1, -1, 3, 2],\n [4, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
412
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, -1, 4],\n [1, 4, -2, -2],\n [1, 1, 2, -3],\n [-2, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1584
|
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, -2, 0],\n [-1, -3, -1, 3],\n [-2, -1, 4, 1],\n [0, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
659
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -2, 4],\n [2, 2, 0, -3],\n [-2, 0, -3, -2],\n [4, -3, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1709
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, -1, -3],\n [-1, 2, 3, -2],\n [-1, 3, 1, 0],\n [-3, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2910
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -4, -1, 2],\n [4, 0, -3, -4],\n [-1, -2, 3, 0],\n [-4, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, -4, 4],\n [1, 2, -1, -1],\n [3, 3, 3, 4],\n [-3, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-201
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[3, 0, -2, -3],\n [0, 0, 2, 2],\n [-2, 2, 2, -2],\n [-3, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -4, 2, 2],\n [4, 4, -2, 2],\n [-3, -3, -2, 3],\n [-3, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
793
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 2, 1],\n [2, 4, 0, 4],\n [0, -4, -2, -3],\n [-1, -1, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
195
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 0],\n [0, 3, 2, -2],\n [2, 2, 3, -3],\n [0, -2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1851
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 0, 0],\n [3, 3, 0, -2],\n [0, 0, 0, 0],\n [0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2833
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, -1, 4],\n [3, -2, 2, 1],\n [-2, 2, 3, -3],\n [-4, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
598
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -1, 1],\n [0, 2, 0, 1],\n [-1, 0, -3, 0],\n [1, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
339
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[0, 2, -4, 0],\n [-4, 4, 4, -4],\n [-2, 2, 3, 0],\n [2, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
993
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -1, 0, 0],\n [-1, 4, 0, 0],\n [0, 0, -4, 2],\n [0, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
159
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-2, -3, -3, 2],\n [-4, 2, -2, -1],\n [-2, 4, 0, -3],\n [1, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, 0, -3],\n [-1, -4, 0, -2],\n [0, 0, -3, 1],\n [-3, -2, 1, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
234
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 2, -1],\n [2, 3, 2, 2],\n [2, 2, 4, -2],\n [-1, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
859
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, 0, 0],\n [4, -1, 0, 0],\n [0, 0, 2, 0],\n [0, 0, 0, -1]], determine the value at position (3, 3).\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, 4, 2],\n [3, -4, 4, -2],\n [-1, 2, -3, -3],\n [-2, -3, 4, 2]]\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[[-3, 1, -2, 4],\n [4, -3, -3, -2],\n [-4, -2, 4, -3],\n [0, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-19
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, 0, -3],\n [3, 0, -3, 0],\n [-3, -2, 2, -4],\n [-4, 4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5914
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0, -2],\n [-2, 1, 2, 2],\n [0, 2, 4, 2],\n [-2, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7826
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, -4, 0],\n [2, 2, 3, 0],\n [3, -4, 0, -4],\n [-3, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4502
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 1, 3, -2],\n [1, -4, 0, 0],\n [3, 0, 3, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1065
|
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, -1, -4],\n [-1, 0, 3, -1],\n [3, -3, 1, 2],\n [3, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3327
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -4, 1],\n [1, -4, -2, 0],\n [-4, -2, -4, 0],\n [1, 0, 0, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1652
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -1, 2],\n [0, 2, -3, -1],\n [1, -2, -1, 0],\n [-3, 1, -1, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -3, 4],\n [2, 4, 0, 1],\n [-3, 0, 2, -2],\n [4, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
732
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-4, -2, -1, 2],\n [-2, -4, 0, -4],\n [-1, 0, -2, 0],\n [2, -4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
69
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 3, -2, 2],\n [3, 1, 4, 0],\n [-2, 4, 3, 0],\n [2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3157
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, -1, -2],\n [1, -1, -4, 3],\n [0, -4, -4, -3],\n [-3, 3, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1402
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 0],\n [2, 1, 2, 0],\n [-2, 2, -3, -1],\n [0, 0, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
914
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 2, 2, -2],\n [2, -1, 4, -4],\n [2, 4, 2, 3],\n [-2, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2, 0],\n [0, 2, 3, 0],\n [-2, 3, -4, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-238
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -4, 2, 0],\n [3, 4, -2, 0],\n [-3, -4, -3, -2],\n [-3, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1892
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 1, -1],\n [-2, -1, -1, -4],\n [0, -4, -3, -2],\n [3, 2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
383
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 4, -1],\n [0, 1, -1, 4],\n [-4, 3, 4, -4],\n [-4, -4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
243
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[1, 3, -2, -1],\n [-2, -4, -2, 2],\n [1, 3, 1, -2],\n [-3, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[3, 4, -1, 3],\n [4, -2, 1, -4],\n [-1, 1, 0, -2],\n [3, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -4],\n [-2, -3, -2, -2],\n [0, -2, 2, -2],\n [-4, -2, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3726
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 0, -1, 1],\n [4, 1, -3, -4],\n [-4, 0, -1, 2],\n [-3, -3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-57
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, 2, 2, -3],\n [2, 4, 0, -3],\n [-1, -2, -1, -2],\n [-4, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-53
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, -1, -4],\n [1, 4, -1, 0],\n [-3, 1, 3, 3],\n [-2, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
792
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-2, 0, 0, 2],\n [0, 2, -1, 2],\n [0, -1, 2, 0],\n [2, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -3, 1],\n [-4, 1, 1, 3],\n [-3, 3, 0, -4],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3500
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, 4, -1],\n [4, 4, 2, 2],\n [4, 2, 1, -4],\n [-1, 2, -4, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1668
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 1, 2],\n [2, 3, 0, 0],\n [1, 0, 4, 0],\n [2, 0, 0, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, -2, 4],\n [3, 4, -3, -3],\n [-2, 1, 0, 1],\n [-3, -2, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-207
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 4, 4],\n [0, 3, -1, 2],\n [4, -1, -4, -1],\n [4, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3034
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, -1, -2],\n [4, 3, 2, 0],\n [-3, 3, -4, -3],\n [-1, -1, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-620
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, -1, -1],\n [-2, -3, -1, 1],\n [-2, 0, -3, -2],\n [-4, -1, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-585
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 0, -2],\n [-1, 4, 0, 0],\n [0, 0, -3, 4],\n [-2, 0, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
790
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -3, 2, 0],\n [-3, -4, 0, 0],\n [2, 0, -2, -2],\n [0, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-244
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -3, 3],\n [0, 0, 0, -2],\n [-3, 0, 3, 0],\n [3, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, -3, 0],\n [1, 0, 2, 2],\n [-3, 2, -4, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1500
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, 0, 0, 0],\n [0, -4, -1, 1],\n [0, -1, 3, -2],\n [0, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-39
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, 1, -3, 3],\n [1, 3, 2, -3],\n [3, 2, 0, 4],\n [0, -4, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
162
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-2, 2, -2, 2],\n [2, -2, 0, 0],\n [-2, 0, -2, -2],\n [2, 0, -2, 0]]?\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, -3, -3, -1],\n [0, 4, -3, 3],\n [1, 0, 2, -4],\n [-2, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
940
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, -2, 3],\n [-1, -3, -2, 0],\n [-3, 1, -2, -1],\n [3, -2, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1122
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 3, 0],\n [-2, -3, -2, -2],\n [4, 1, 4, -3],\n [4, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3913
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[2, 0, 0, -2],\n [0, 2, 0, 2],\n [0, 0, -2, -3],\n [-2, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
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