messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 2, 0],\n [-3, -1, 0, 4],\n [2, 0, 2, 0],\n [0, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
747
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 2, -2],\n [-2, -4, 0, 0],\n [2, 0, -1, 2],\n [-2, 0, 2, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-120
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, 2],\n [0, -3, -1, 0],\n [2, -1, -4, 2],\n [2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4993
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, 4, 3],\n [2, -3, -3, -4],\n [-2, 3, 0, -2],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-345
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -2, -3],\n [-3, 1, 2, -2],\n [3, -4, 1, 3],\n [0, -3, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-525
|
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, -3, 1],\n [-1, -3, -1, 4],\n [3, 3, -2, 1],\n [-3, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
912
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, 1],\n [-1, -2, 0, 0],\n [4, 4, 0, -4],\n [-4, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-450
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 0, 1, 2],\n [0, 0, 0, -4],\n [1, 0, 0, -1],\n [2, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-120
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 3, 2],\n [0, 0, 2, 3],\n [-3, -3, 2, 1],\n [-1, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1467
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, -4],\n [0, -1, -2, 0],\n [0, -2, -3, 2],\n [-4, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1511
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 1, 1],\n [0, -1, -2, -2],\n [1, -2, 0, -2],\n [1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
299
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 1, 1],\n [2, -2, -3, 0],\n [1, -3, 3, 0],\n [1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
239
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, -3, -1],\n [-1, 3, -3, 0],\n [0, -2, 4, -3],\n [4, 2, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5166
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-4, 0, -4, -1],\n [3, 4, -1, 4],\n [-2, -3, -1, -3],\n [1, 0, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-144
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, 2, 0],\n [3, -3, -1, -4],\n [-3, -4, -3, -1],\n [-3, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4329
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -1, 0],\n [2, -4, 0, 4],\n [-1, 0, 2, -2],\n [0, 4, -2, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
498
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 3, 0],\n [0, 0, -4, -2],\n [3, -4, 4, 0],\n [0, -2, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
237
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, 0, 3],\n [0, -2, -4, 2],\n [-1, 1, 4, -2],\n [0, -4, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
623
|
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, 1],\n [2, 4, 3, -2],\n [0, -2, 0, 4],\n [0, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2107
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-2, -1, 0, -1],\n [-1, 2, 0, -2],\n [0, 0, -3, 0],\n [-1, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
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, 0, 4],\n [0, -4, 3, 3],\n [0, 3, 3, 3],\n [4, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13515
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 1, 0],\n [2, -3, 0, 0],\n [1, 0, 1, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
980
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -1, 0, -1],\n [-1, 4, -3, -2],\n [0, -3, 4, 0],\n [-1, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
970
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-2, 1, 1, 2],\n [-2, 4, 3, -2],\n [-4, -3, -2, 2],\n [3, 0, 0, -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, 0, 4, 3],\n [-2, -3, -1, 2],\n [3, 1, 3, -2],\n [2, -1, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
869
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 4, 3],\n [-1, 4, -4, -1],\n [2, -1, 1, -2],\n [1, -3, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-325
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, 1, -4],\n [-2, -1, 2, 4],\n [1, 2, 3, 0],\n [-4, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2866
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[3, -4, -4, -1],\n [4, 0, 2, -4],\n [3, -1, 4, 4],\n [0, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, -3, -3],\n [4, 2, -2, 2],\n [-3, -2, 1, 2],\n [-3, 2, 2, 0]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
703
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, 3, 1],\n [-2, 2, 2, -1],\n [3, 2, 1, -2],\n [1, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
470
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 1, 2, 0],\n [1, -3, 1, 0],\n [2, 1, -3, -3],\n [0, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1018
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, -1, 4],\n [3, -1, 4, -1],\n [4, -4, 2, -3],\n [4, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1516
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-3, -2, 0, -2],\n [4, -2, 0, -3],\n [4, 1, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
210
|
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, -2],\n [0, 3, 2, -4],\n [2, 2, 0, 4],\n [-2, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16485
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, -3, 0, -4],\n [2, -4, -2, -3],\n [1, 4, 2, 0],\n [-1, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
344
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 4, -3],\n [-3, 4, 3, 3],\n [-4, 0, -2, 1],\n [-1, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6809
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 1, 0],\n [1, 4, 0, 0],\n [1, 0, -2, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
153
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -3, 3, -1],\n [4, 1, -4, -2],\n [-4, 2, -1, -1],\n [0, -1, -1, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, 1, -1, -3],\n [1, -3, 2, 0],\n [-1, 2, -4, 0],\n [-3, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, -2, 0],\n [-1, 1, 1, 3],\n [-2, 1, 0, -1],\n [0, 3, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1967
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, -2, -1],\n [4, 1, 3, 3],\n [-2, -2, 3, 0],\n [-1, -4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2522
|
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, -4, -2, 0],\n [4, -2, 3, -2],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9161
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -1, 2],\n [-1, 1, 1, -3],\n [-1, 1, -4, -2],\n [2, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-208
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, -2, 3],\n [-3, -2, -1, -4],\n [-2, -1, 0, 0],\n [3, -4, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1111
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[3, -1, 1, 4],\n [3, 2, -4, 1],\n [2, 3, 2, -3],\n [1, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
256
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, 1, -3],\n [-1, 4, -3, -1],\n [1, -2, 0, 3],\n [-1, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5326
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, 0, 1],\n [-2, -1, 0, -2],\n [0, 0, 3, -3],\n [1, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-304
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 2, 2],\n [0, 2, 3, 0],\n [2, 3, -1, 2],\n [2, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
717
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, 0, -3],\n [0, 1, 4, -3],\n [-3, 3, -4, 2],\n [3, -2, 0, 3]], determine the sum of all entries.\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, 2, -2, 0],\n [2, 0, -2, -3],\n [-2, -2, 0, 1],\n [0, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-198
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 0, -2],\n [-2, 0, 2, 0],\n [0, 2, 1, 2],\n [-2, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
322
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 1, 2],\n [-3, -1, -4, -2],\n [1, 1, -4, -2],\n [2, -3, 3, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
75
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -4, 0],\n [1, 1, 1, -3],\n [-4, -3, 4, 0],\n [3, -2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -3, 3],\n [3, 1, 1, -2],\n [-4, 2, -4, 1],\n [0, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-127
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 1, 1],\n [1, -4, -3, 3],\n [1, -3, 2, 4],\n [1, 3, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15750
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 1, -2, -1],\n [1, 0, 2, 0],\n [-2, 2, -3, -2],\n [-1, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2969
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -2, -1],\n [-2, 4, -2, 1],\n [-2, -2, -2, 0],\n [-1, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-299
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 3, -2],\n [-3, -2, -1, -1],\n [4, 4, 1, -2],\n [-2, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
673
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 3, 0, -1],\n [-2, 4, 1, 0],\n [-1, 4, 2, 0],\n [-1, -3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
660
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, -2],\n [2, -1, 0, 0],\n [0, 0, -1, 3],\n [-2, 0, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7119
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -3, 0, -2],\n [2, -3, -2, -4],\n [-4, 1, -4, 2],\n [3, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3042
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-2, 0, 0, 1],\n [0, 0, 0, 0],\n [0, 0, 2, 0],\n [1, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, -1, 2],\n [4, -4, -2, -3],\n [-2, -2, 0, 1],\n [1, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
121
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, 0],\n [2, -2, -1, 2],\n [0, -1, 0, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
132
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, -4, -1],\n [3, 0, 2, -2],\n [3, 1, 0, 1],\n [2, 3, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
148
|
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, 0, 3],\n [1, -1, 1, -4],\n [0, -4, 2, 0],\n [3, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
578
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -3, -2, 0],\n [-2, -2, -4, -1],\n [0, 0, -1, -2]]\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 3th power of the matrix:\n[[3, 0, 1, -1],\n [0, -1, 0, 3],\n [1, 0, 4, -2],\n [-1, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1030
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, -3, -2, 0],\n [0, -2, 0, 4],\n [0, 0, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4146
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, -1, 2],\n [2, 1, -4, 3],\n [2, 4, 1, 1],\n [2, -2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
398
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 3, 1],\n [-1, 2, 0, 2],\n [-1, 2, -2, -1],\n [4, 2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
249
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -3, 2],\n [-2, 4, 4, 3],\n [1, -2, 0, -3],\n [-1, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3653
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, -3, 2, -2],\n [-3, -2, -2, -3],\n [-4, -2, 4, 4],\n [0, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-164
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 0, -2],\n [-2, 4, -4, 1],\n [0, -4, -4, 0],\n [-2, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1345
|
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, -3, 4],\n [-1, -3, 1, 4],\n [3, -2, 3, -3],\n [2, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3006
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -4, 0],\n [-2, -1, -1, -2],\n [-4, -1, -2, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14565
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, -4, 0, 1],\n [0, 0, -2, 2],\n [-2, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -4, -2, 2],\n [-1, 0, -2, -3],\n [0, 1, 4, 2],\n [-3, -4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1417
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-3, 2, -2, 0],\n [2, 1, -2, 0],\n [-2, -2, 2, 2],\n [0, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 3, 2],\n [-2, 1, -3, -1],\n [-3, -1, 2, 0],\n [2, -3, -4, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
424
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 3, -4],\n [-3, 2, 2, 1],\n [3, 2, -3, 3],\n [-4, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
229
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, 3, 1],\n [-3, 0, 4, 0],\n [-4, -3, 3, 3],\n [0, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
921
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -1, 3],\n [1, -2, -4, -4],\n [-4, -4, -1, 2],\n [4, -1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1664
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, -4],\n [-2, -4, 2, 0],\n [0, 2, -2, 0],\n [-4, 0, 0, -2]], determine the value at position (3, 4).\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[[1, 0, 1, 0],\n [0, 1, -2, 0],\n [1, -2, 2, 3],\n [0, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
433
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[2, 4, -2, 1],\n [-2, -4, 2, 3],\n [3, -1, 1, 2],\n [-2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
158
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 1, 2],\n [-2, 2, 1, -1],\n [1, 1, -4, -1],\n [2, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 0, 2],\n [0, 1, 2, -3],\n [0, 2, 3, -1],\n [2, -3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2888
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, 1],\n [4, 2, -4, 3],\n [-1, -3, 1, -3],\n [-2, 1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
777
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, -1, -2, -1],\n [-1, 4, -1, 1],\n [0, 0, -2, 1],\n [3, 4, 1, 0]]\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, 1, 2, 0],\n [1, -4, 1, 1],\n [2, 1, -4, 0],\n [0, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 0, 2, 0],\n [0, 1, 0, 0],\n [2, 0, -1, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, 0, 4],\n [-4, 1, 4, -1],\n [-2, 0, 2, 2],\n [1, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[3, 1, 2, -2],\n [1, 0, 1, 0],\n [2, 1, -4, -2],\n [-2, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-338
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 1],\n [0, 3, -1, -3],\n [0, -1, -1, 1],\n [1, -3, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
740
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 0, 1],\n [0, 4, -2, 3],\n [0, -2, -4, -1],\n [1, 3, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4212
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, -1, -2],\n [1, 4, -1, 2],\n [4, 4, 1, 0],\n [-3, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1040
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, 0, 2],\n [-1, 4, 0, 2],\n [0, 0, -3, -2],\n [2, 2, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
264
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[3, -1, 1, -4],\n [1, -2, 0, 3],\n [2, -2, -3, 0],\n [-1, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
247
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, -4, 1],\n [-4, 1, 0, 0],\n [-2, 1, 3, -4],\n [4, 4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1433
|
MATH
|
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