messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -3, -1, 2],\n [-3, -1, 0, 0],\n [-1, 0, 0, 4],\n [2, 0, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2151
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, -4, -3],\n [0, -3, 2, -1],\n [0, -3, 3, 1],\n [-1, 3, 3, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 2, -3],\n [-2, 2, 2, 0],\n [2, 2, 0, -2],\n [-3, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
382
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, 4, 3],\n [1, -3, -1, -1],\n [-2, -2, 0, -3],\n [3, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-263
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, -1, 0],\n [-4, 2, 4, 1],\n [3, -1, -2, 1],\n [2, 3, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-182
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, -1, 2],\n [2, -2, 0, -1],\n [-1, 0, -2, -1],\n [2, -1, -1, -3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
67
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-1, 1, -3, 4],\n [1, -1, -2, 0],\n [-3, -2, 1, 1],\n [4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
149
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, -4, -3],\n [-2, -2, 0, 2],\n [-3, -2, 1, 0],\n [1, 2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
614
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 2, -4],\n [-4, 2, -2, -4],\n [4, -2, 1, 2],\n [2, 3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
336
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -2, 0],\n [0, -3, 1, 0],\n [-2, 1, 1, 1],\n [0, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
471
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, 2, 1],\n [-1, 3, 0, 1],\n [3, 3, 4, 3],\n [1, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9338
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[2, -4, -3, 4],\n [-4, 3, -1, -2],\n [2, -2, -3, 4],\n [-2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
408
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, 0, 4, 0],\n [4, 1, 3, 1],\n [-1, -2, 3, 0],\n [3, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-136
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, -2, -2],\n [4, -3, -3, 3],\n [4, -1, 4, 1],\n [-2, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
803
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 3, 0],\n [0, -3, 0, -1],\n [3, 0, -2, 0],\n [0, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1479
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[2, -2, -2, 0],\n [-2, 3, 1, -2],\n [-2, 1, -1, 0],\n [0, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, -2, 3],\n [0, -3, -4, 3],\n [0, -2, 2, 2],\n [0, 3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
667
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, -2, 0],\n [-2, 3, 2, -2],\n [-2, 2, 3, 3],\n [0, -2, 3, 2]], determine the value at position (4, 2).\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^3 where A is:\n[[4, -4, 4, 4],\n [-4, -3, -1, -2],\n [-4, -4, 1, 3],\n [4, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
242
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 1, 0],\n [0, 0, -4, 3],\n [-4, 1, -1, 3],\n [-3, -4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
467
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, 2, 3],\n [-4, -2, 1, -3],\n [3, 1, -1, -2],\n [1, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
176
|
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, -2, -2],\n [-2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4938
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, -1, 2],\n [-4, 4, -3, -4],\n [3, 4, -2, 1],\n [0, -1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-210
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, 1, -3],\n [2, -1, 1, 2],\n [1, 1, -4, 0],\n [-3, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
446
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 3, 3],\n [2, 2, -2, -2],\n [2, -3, 0, 0],\n [1, 1, 3, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, 4],\n [0, -2, 3, -1],\n [0, 3, -4, -2],\n [4, -1, -2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-420
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, -2, -4],\n [3, -3, 0, -3],\n [0, -1, 1, -2],\n [0, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
668
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2, -4],\n [4, -4, -1, 0],\n [4, 0, 0, 0],\n [-4, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, -1, 1],\n [-3, -2, 1, 1],\n [-3, -2, 1, 3],\n [1, -4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3023
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 2, 0],\n [-3, 2, 2, -2],\n [2, 2, 0, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
701
|
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, 2, 1, -2],\n [-2, 1, 3, 2],\n [0, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
345
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -4, 0],\n [-1, 1, -2, 3],\n [0, -4, 3, -1],\n [3, 0, -3, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
96
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, 0, 0],\n [1, -2, 4, 0],\n [0, 4, -1, -4],\n [0, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1141
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, 3, 3],\n [0, -2, -3, -3],\n [-1, 4, 2, 4],\n [4, 4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1724
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-2, -1, -1, -1],\n [-2, 3, 1, -2],\n [-1, 2, -4, -2],\n [-4, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, 3, 1],\n [1, 4, -1, -4],\n [-3, 1, 0, 3],\n [3, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 2],\n [0, -2, 1, 0],\n [0, 1, -1, -2],\n [2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
467
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, -4, 3],\n [2, 0, -1, 3],\n [3, -2, 2, -4],\n [3, -2, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
126
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 4, -3],\n [-2, -1, 2, -1],\n [-1, -1, 2, 0],\n [3, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
248
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 3, -1],\n [-4, 4, 3, 3],\n [3, 0, -3, 4],\n [-3, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-497
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -3],\n [2, -4, -1, -1],\n [0, -1, 0, -1],\n [-3, -1, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
99
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 2, -1],\n [3, -4, 1, -4],\n [-1, 1, 4, 1],\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"
}
] |
559
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -3, -3],\n [3, -4, 0, -1],\n [1, 1, -4, 2],\n [0, -2, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
767
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[3, 4, 1, 2],\n [-3, -3, -4, 3],\n [1, 1, 3, -2],\n [-2, 3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-112
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-4, 0, -3, -3],\n [3, 4, -2, 1],\n [3, -1, -1, 4],\n [2, -3, -4, -4]]\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, 2, -2, 3],\n [-2, -2, -3, -3],\n [-3, 4, -2, -1],\n [0, 4, -4, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-124
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, -2, -2],\n [0, 2, 3, -2],\n [-2, 3, -3, 3],\n [-2, -2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-127
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 2, 4],\n [2, -2, -1, -2],\n [2, -1, -1, -2],\n [4, -2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-226
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -3, 4],\n [1, -3, -2, -1],\n [-1, -2, 4, -1],\n [-2, 1, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3296
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -2, -2],\n [2, 2, -2, 2],\n [-2, -2, 3, 2],\n [-2, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4629
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 2, 1],\n [0, 1, 0, 0],\n [2, 0, 0, 0],\n [1, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
357
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 2, 0],\n [0, 2, 2, 2],\n [2, 2, -1, 0],\n [0, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1822
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, -1, -4],\n [4, 4, 1, -4],\n [1, 0, 0, 1],\n [-1, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6534
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 1, -2],\n [-2, -2, -2, 1],\n [1, -2, -1, 2],\n [-2, 1, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1606
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 3, 0],\n [0, -1, -2, -2],\n [3, -2, 0, 0],\n [0, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 0, -4],\n [-2, 0, 1, 1],\n [3, 4, 0, -1],\n [-4, -1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1008
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-2, -3, -1, -3],\n [3, -2, 1, -2],\n [0, -1, 3, -2],\n [1, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-279
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -4, 0],\n [-4, 3, -2, 0],\n [0, -1, -4, -1],\n [3, -3, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2134
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 3, 0, -3],\n [-1, 0, 2, -3],\n [-1, -2, -3, -1],\n [-3, -3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -2, -2],\n [0, 1, 0, 2],\n [-2, 0, -4, 2],\n [-2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 2, -3],\n [0, -1, 1, -2],\n [2, 1, 2, 0],\n [-3, -2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2838
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -1, -3],\n [1, 4, 2, 0],\n [-1, 2, -4, 0],\n [-3, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
904
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[1, 1, 3, -3],\n [1, -4, 1, 0],\n [3, 1, 2, 2],\n [-3, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
125
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, -1, 2],\n [-1, -3, 4, 4],\n [-1, 3, -2, -4],\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"
}
] |
2462
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0, 0],\n [1, 2, -2, 0],\n [0, -2, -3, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
943
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 3, 0],\n [-1, 3, -2, 4],\n [4, 1, 4, 3],\n [-1, -3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
314
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -2, -1],\n [0, -1, 0, 1],\n [-2, 0, 4, 0],\n [-1, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, 3, 0],\n [3, -1, -2, -2],\n [-2, -3, -4, -3],\n [-3, 4, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7004
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 4, 0],\n [-3, 4, -4, 0],\n [-4, -2, 1, 4],\n [4, 3, -1, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-251
|
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, 4, -3],\n [4, 0, -2, 1],\n [-3, -4, -4, -1],\n [1, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5645
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, 2],\n [2, 1, 2, 1],\n [0, 2, -4, -2],\n [2, 1, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-244
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, 2, 0, 4],\n [2, 4, -4, -1],\n [0, 0, -3, -3],\n [-3, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-363
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -3, 1],\n [0, 3, -2, -1],\n [-4, -3, 1, -4],\n [3, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
262
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -3, -2],\n [0, 0, -4, -4],\n [-3, -4, -1, 2],\n [-2, -4, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8721
|
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 [-3, 3, -1, -4],\n [-2, -1, -3, -2],\n [0, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1372
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[4, -3, 1, 2],\n [1, -1, 4, -3],\n [2, 2, -1, 4],\n [3, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1246
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, -1, -4],\n [1, 4, -3, -3],\n [4, -2, 2, 0],\n [1, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6260
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -4, -3, 4],\n [0, -2, 1, -3],\n [-4, -2, 4, -2],\n [0, 0, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10158
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-4, 0, 2, 4],\n [-2, -3, 4, 1],\n [0, 2, -4, 4],\n [-3, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, -2, -2],\n [0, 3, -4, 4],\n [-2, -4, -2, 0],\n [-2, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-156
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, -2, 4, -1],\n [4, -2, -3, -1],\n [-3, -4, 1, 1],\n [-2, 4, 2, -2]]\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, -1, -2, 0],\n [-1, 3, -2, -1],\n [-2, -2, -1, 2],\n [0, -1, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1148
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, 2],\n [3, 2, 1, -1],\n [-4, -2, 2, 4],\n [3, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
977
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 1, 2, 1],\n [-2, 0, 0, -4],\n [1, 1, -3, -4],\n [3, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, 4, 0],\n [-1, 0, -2, -2],\n [4, -2, -3, -3],\n [0, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8170
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, -1, 2],\n [-4, 0, 0, 3],\n [2, -2, 1, 0],\n [-4, 4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-51
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 2, 1],\n [0, 1, 2, 2],\n [2, 2, 0, 0],\n [1, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
453
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -1, 2],\n [1, 1, -3, -2],\n [-1, -3, -2, -1],\n [2, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-316
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[4, 1, -1, 0],\n [4, 2, -3, 4],\n [-1, -2, 1, -2],\n [4, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, 0, -2],\n [2, -2, 1, 0],\n [3, -2, 2, 2],\n [3, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1888
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -1, 2],\n [2, -4, -2, 0],\n [-1, -2, -1, 2],\n [2, 0, 2, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
282
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, 0, -1],\n [0, 1, -3, -3],\n [-1, 1, -2, -1],\n [0, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4430
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-4, 0, 0, 2],\n [0, 3, 1, 0],\n [0, 1, -1, 2],\n [2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, -2, -4],\n [2, -3, -2, 0],\n [-2, -2, 3, 2],\n [-4, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-47
|
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, 0, 3],\n [1, 3, -3, 3],\n [4, 3, 4, 1],\n [3, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8684
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -3, 0, -3],\n [4, -1, -2, -4],\n [4, -4, 1, 1],\n [1, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
622
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-2, 4, 2, 0],\n [4, 4, 0, -2],\n [2, 0, 3, -1],\n [0, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-448
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, -2, 0],\n [-1, 3, -2, 2],\n [-2, -2, -3, -2],\n [0, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1006
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 0, 0],\n [2, -4, -1, 2],\n [0, -1, -4, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4590
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, -2],\n [0, -2, 1, 0],\n [0, 1, 0, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
455
|
MATH
|
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