messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 2, -2, -4],\n [-2, -2, -3, 1],\n [-4, -3, 1, -4],\n [3, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4003
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, -2, 2, -4],\n [1, -3, 0, -1],\n [-3, 3, -3, -2],\n [-3, -1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
79
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 1, -3],\n [3, -4, 2, 4],\n [2, -4, 3, 4],\n [0, -2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1981
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, 3, 2],\n [-4, 2, 0, -4],\n [-3, -2, 2, -2],\n [1, 2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
774
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -3],\n [3, -2, -4, 3],\n [-2, 0, -4, -1],\n [4, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
920
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 0, -2],\n [3, 0, -2, 2],\n [4, 4, -3, 2],\n [1, -4, -1, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, 0, -1],\n [4, 4, -1, 2],\n [0, -1, -1, 2],\n [-1, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1022
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2, -2],\n [2, 0, -1, 0],\n [2, -1, 2, -2],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, 2, 0],\n [-4, -2, -2, -3],\n [2, 2, 2, 3],\n [-4, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2049
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 4, -2],\n [0, -4, -2, 0],\n [4, -2, 0, 2],\n [-2, 0, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2581
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 0, 0],\n [-4, -2, 2, 2],\n [-2, 4, -1, 4],\n [-4, -4, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1238
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 0, 2],\n [-2, 1, -1, -4],\n [1, -2, -2, -3],\n [2, -2, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11266
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 0, 2],\n [2, 0, -4, 2],\n [0, -4, 0, 2],\n [2, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5606
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 2, 0],\n [0, 0, 2, -2],\n [2, 2, 1, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
214
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -2, -2],\n [0, 1, 3, -4],\n [-2, 3, 3, 2],\n [-2, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11016
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-2, -1, 2, 0],\n [1, -1, -1, 3],\n [-1, -2, 4, 2],\n [2, -4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, -2, -1],\n [2, 2, 0, 0],\n [-2, 0, -1, -4],\n [-1, 0, -4, 1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
453
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, -1],\n [-3, 3, 4, -2],\n [-1, -4, -1, -4],\n [-2, 4, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
722
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, -2, -1, -4],\n [3, 3, 4, -3],\n [4, -2, -2, 1],\n [0, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 2, -2],\n [2, -1, 0, -1],\n [2, 0, -3, 2],\n [-2, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
703
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, 2, 0],\n [0, 0, 0, -4],\n [2, 0, 0, 1],\n [0, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2346
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -4, -3],\n [-3, 4, 0, 2],\n [-4, 4, -1, -3],\n [0, 3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1083
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 3, 3],\n [-3, -4, 1, -3],\n [3, 0, -3, 4],\n [-3, 0, 3, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
107
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 2, 3],\n [0, -1, -3, -3],\n [1, 1, 0, 4],\n [-2, -1, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
289
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, -4, 0],\n [1, -1, 1, -3],\n [-2, -2, 1, 2],\n [-2, -1, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 4, 3, -1],\n [2, -2, 1, -2],\n [4, 3, 0, 2],\n [3, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3484
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 4, 2, 1],\n [4, 0, 0, -4],\n [2, 0, 3, 3],\n [1, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10220
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 2, 3],\n [1, 0, -1, 3],\n [1, -3, -4, 4],\n [-4, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4632
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 1, 2],\n [1, 0, 2, -2],\n [1, 2, -1, -3],\n [2, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-264
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -4, -1, -1],\n [-3, 1, -2, 1],\n [-2, -1, 3, 1],\n [0, -3, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-224
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-2, 0, -2, 0],\n [0, -4, 0, 1],\n [-2, 0, 0, 0],\n [0, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, 0, 2],\n [-1, -4, -2, -1],\n [0, -2, 0, 1],\n [2, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2198
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, -2, 3],\n [-3, 1, -2, -1],\n [0, -1, 0, 0],\n [3, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
446
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, 3, 0],\n [-3, -3, 0, -3],\n [0, -3, 3, 0],\n [4, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5702
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[3, 2, 1, -1],\n [2, 3, 0, 0],\n [1, 0, 2, -1],\n [-1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[4, -4, -2, 0],\n [-2, 0, 3, 1],\n [4, -4, -4, -3],\n [3, -2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
137
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[0, 0, -4, -4],\n [2, -1, 2, -3],\n [2, -3, 0, -3],\n [2, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
129
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, 0, 0],\n [2, -4, 3, -2],\n [0, 3, -3, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
51
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, -2, 1],\n [3, 1, 0, -2],\n [4, -3, -3, -1],\n [3, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
622
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-1, 0, -2, 3],\n [1, 3, 2, 1],\n [4, -2, -3, -3],\n [1, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 2, -2],\n [0, 0, -2, 1],\n [2, -2, -4, 0],\n [-2, 1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
770
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, -1, 0, -1],\n [-3, -2, 4, -4],\n [3, -1, 2, 1],\n [1, 4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 0, -3],\n [3, -2, 1, 4],\n [-3, 2, 2, 3],\n [4, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
115
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[1, 1, -2, 0],\n [1, -4, -2, 2],\n [-2, -2, 1, 2],\n [0, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
77
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -1, 3, 0],\n [0, -1, 2, -4],\n [1, -4, -3, -3],\n [2, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1962
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -4, 4, -3],\n [-1, 3, 3, -2],\n [-2, 4, 1, -3],\n [-4, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -3, 2],\n [2, -1, 0, -1],\n [-3, 0, 3, 2],\n [2, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
330
|
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, -4, 0],\n [-4, -4, -4, -4],\n [-2, 2, 2, 2],\n [0, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1601
|
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, 0, -1, -2],\n [-2, -1, 2, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
903
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, -3, 2],\n [0, -4, 4, 3],\n [-3, 1, -3, 3],\n [0, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1585
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 2, -1],\n [1, -1, -3, 3],\n [0, -2, 2, 3],\n [1, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 1, 3],\n [3, 4, 3, -3],\n [-1, -3, 4, -4],\n [3, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4447
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, 1, 0],\n [2, -3, -2, 0],\n [1, -2, -1, -4],\n [0, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1305
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, -4, -3],\n [0, 1, 0, -3],\n [2, -2, 0, -2],\n [-2, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, 1, -2],\n [1, 3, 2, -4],\n [3, 1, 3, 1],\n [2, -1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10874
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 3, -2],\n [-2, 4, -1, 3],\n [3, -1, -4, 0],\n [-2, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1460
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 2, 1],\n [0, -4, 0, 0],\n [2, 0, -4, 0],\n [1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 2, 4],\n [2, 2, 0, -2],\n [-3, 4, 3, -2],\n [-2, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
488
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, 2, -2, -2],\n [2, 1, 2, -1],\n [-2, 2, -2, 0],\n [-2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -3, 2, -2],\n [-3, -3, -4, 2],\n [2, -4, -1, 4],\n [-2, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17886
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 1],\n [0, 2, -1, 2],\n [2, -1, 4, -2],\n [1, 2, -2, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
325
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 0, -2],\n [2, 1, -2, 2],\n [0, -2, -2, 4],\n [-2, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20205
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -3, 4],\n [2, -4, 3, 0],\n [2, 4, 2, 2],\n [-4, 2, 1, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
372
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 0, 0],\n [-2, 0, -3, 0],\n [0, -3, 4, -2],\n [0, 0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-29
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, 4, -2],\n [1, 4, 2, -1],\n [4, 2, -4, 0],\n [-2, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
240
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 4, -4, -3],\n [-1, 2, 4, -2],\n [1, 3, -2, 3],\n [4, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
780
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 1, 4],\n [1, -4, 0, -2],\n [4, 1, -3, -2],\n [-1, 2, 4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4192
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-1, -2, -2, 0],\n [-2, -3, 2, -2],\n [-2, 2, 0, -1],\n [0, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 0, 4],\n [1, -2, -3, 2],\n [3, 3, 4, 2],\n [-3, 1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
871
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, -1, -2],\n [2, 2, -4, 2],\n [-1, -4, 4, 0],\n [-2, 2, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, -1],\n [0, -1, 2, -4],\n [2, -1, 2, -2],\n [-4, -1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
654
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, -4, 1],\n [-1, -2, 1, 4],\n [-3, -4, -4, -2],\n [2, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4449
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 2, 2, -2],\n [2, 4, 1, 0],\n [2, 1, 1, 4],\n [-2, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 0, 4],\n [4, -4, 1, 1],\n [2, 4, 4, -1],\n [-3, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
720
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 2, 0],\n [0, 2, 1, -4],\n [2, 1, -3, 0],\n [0, -4, 0, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -2, 2],\n [0, 0, -2, 0],\n [-2, -2, 3, 1],\n [2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1481
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-1, 1, 1, -1],\n [-1, 0, 4, -2],\n [0, 1, 2, 2],\n [2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, 4, 2],\n [-2, 2, -2, -2],\n [4, -2, 2, -1],\n [2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
661
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 1, -3, 0],\n [1, 4, -1, 0],\n [-3, -1, 0, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
376
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -4, 1, -2],\n [2, 0, 4, 2],\n [-1, -3, 2, 4],\n [3, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-419
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 2, 2],\n [0, 3, 0, 2],\n [-2, 4, -3, -4],\n [3, -2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-99
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -2, -4],\n [0, 0, -1, -2],\n [-3, 0, 4, 0],\n [-4, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
920
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, 4, 0],\n [-1, -1, 2, -1],\n [4, 2, 4, -2],\n [0, -1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6219
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[0, 3, -1, 4],\n [0, 3, -2, -2],\n [3, 1, 2, -4],\n [-1, 1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-15
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 2, -2],\n [2, 4, -2, 0],\n [2, -2, -3, -1],\n [-2, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
89
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 4, -1],\n [-2, 3, 2, -1],\n [4, 2, 1, 0],\n [-1, -1, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
64
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[1, -2, -1, -2],\n [0, 0, -1, 1],\n [0, 2, 1, -2],\n [-3, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
61
|
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, -3],\n [-2, 3, -3, 0],\n [-3, 4, -4, 2],\n [0, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
361
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, 0, -2],\n [-2, 4, -3, -1],\n [0, -3, 1, 0],\n [-2, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
884
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -3, -2],\n [0, -2, 0, -2],\n [-3, 0, 0, 0],\n [-2, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-68
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-3, 0, 2, 3],\n [0, -3, 0, 0],\n [2, 0, 2, -4],\n [3, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
944
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 0, 4],\n [0, 4, 2, 0],\n [0, 2, 1, 3],\n [-4, -4, 1, -4]]\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^3 where A is:\n[[-2, -4, -3, -3],\n [4, -4, -3, 2],\n [4, 0, -2, -4],\n [-4, -3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1990
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, -3, -1],\n [-3, 2, 1, 2],\n [1, 4, 4, -4],\n [3, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3678
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -4, -4, -2],\n [-4, -3, 0, -1],\n [1, -1, 4, 3],\n [-4, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1253
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -3, -4, 0],\n [-4, 3, 4, 3],\n [2, 4, -1, -1],\n [-3, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2732
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -4, 1, 2],\n [-1, 0, -3, 0],\n [0, 3, 0, 3],\n [2, 1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
974
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[4, -2, 2, -4],\n [-2, -4, -1, -2],\n [2, -1, 1, -3],\n [-4, -2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
275
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 2, -2],\n [-2, -4, -4, -2],\n [2, -4, 4, 1],\n [-2, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1332
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, -4, 0],\n [-2, 4, -1, 0],\n [-2, -1, 1, -2],\n [1, -3, 3, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
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