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 all entries of the result:\nA =\n[[4, 2, 3, -2],\n [-4, -4, 4, -4],\n [1, 3, -2, 4],\n [4, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-324
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 3, 3, -4],\n [-3, 1, -2, -3],\n [-2, 0, 3, -2],\n [-1, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2368
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -1, 0, 0],\n [-1, 2, 2, 3],\n [0, 2, 4, -2],\n [0, 3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1209
|
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, -3, 2],\n [-1, -1, 3, 4],\n [-1, -3, 0, -2],\n [-3, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
508
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 0, 0],\n [2, 0, 2, 0],\n [0, 2, 3, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1870
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 3, 0],\n [2, -1, 0, -2],\n [3, 0, 3, 2],\n [0, -2, 2, -2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, 0, 0],\n [-2, 1, -1, -2],\n [-2, 4, 0, -1],\n [2, 0, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[4, 0, -1, 0],\n [0, 1, -2, -4],\n [-1, -2, -2, 0],\n [0, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 4, 1, -2],\n [3, 2, 3, 1],\n [-3, -3, -2, -1],\n [-4, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1959
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -4, 0, 2],\n [-4, 4, 2, -3],\n [0, 2, -3, -2],\n [2, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2487
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 2, 0],\n [2, -3, 0, -2],\n [2, 0, 4, -2],\n [0, -2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-91
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, -2],\n [0, 4, 0, 0],\n [0, 0, 3, -1],\n [-2, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-89
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[0, -4, -2, 1],\n [4, 1, 0, 4],\n [2, -1, 3, 4],\n [-4, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
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, 0, 0],\n [2, -4, 0, 2],\n [0, 0, 3, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1010
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 3, 2],\n [0, 1, 2, 4],\n [3, 4, -3, 3],\n [3, -1, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23012
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, 2, -2],\n [4, 3, 2, 2],\n [3, 2, -1, 3],\n [1, -1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
430
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[3, -4, 3, -4],\n [2, 3, -4, 1],\n [-1, -3, 3, -2],\n [-1, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
504
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -1, -4],\n [-4, -2, -1, -2],\n [-1, -1, 4, 1],\n [-4, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14179
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 3, 2],\n [2, 4, 3, 3],\n [-4, -2, -3, 0],\n [-1, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
324
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -2, -1],\n [0, -3, -4, 4],\n [4, -4, 3, -1],\n [-2, 4, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-610
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 3, -2],\n [3, -4, 1, 1],\n [-3, -1, 3, -2],\n [0, 2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-218
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, 3, 0],\n [0, 4, -3, 4],\n [3, -3, 0, -4],\n [0, 4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-23
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, 2, 3],\n [-2, 0, -1, 2],\n [-2, -4, -1, -3],\n [1, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3767
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 2, -2],\n [-1, -1, 2, 1],\n [2, 2, -4, 0],\n [-2, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
929
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 1, 1],\n [0, 0, 0, -2],\n [1, 0, -4, -2],\n [1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
519
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, -2, -4],\n [3, 2, -2, 3],\n [-2, -2, 3, 4],\n [-4, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, 0, 0],\n [-3, 0, 2, 2],\n [0, 0, 4, 0],\n [2, 4, -4, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, 0, -3],\n [2, 3, 4, 4],\n [-3, -1, 0, -2],\n [3, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
636
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -1, 0],\n [0, 0, 2, -2],\n [-1, 2, 1, -2],\n [0, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
810
|
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, -2],\n [-2, -3, 0, 3],\n [1, -2, 4, 0],\n [-1, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
716
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, 1],\n [0, -2, 0, 0],\n [2, 0, 1, 2],\n [1, 0, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
705
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 3, 2],\n [2, -2, -2, 1],\n [3, -2, -1, 0],\n [2, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -3, -2],\n [0, 0, -3, 3],\n [-1, 2, -2, 3],\n [2, 4, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1996
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-1, -3, -3, 2],\n [-3, 0, 2, 4],\n [3, 0, -2, 2],\n [1, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, 2, 1, -1],\n [2, -4, 0, -1],\n [1, 0, -3, 0],\n [-1, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[2, 2, 4, -2],\n [-1, 2, 1, 4],\n [-2, 3, -1, -4],\n [4, 4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
304
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, -1, 4],\n [4, 1, -1, 2],\n [3, 3, 3, -2],\n [-4, -1, 1, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -2, 2],\n [2, -1, 2, -1],\n [-2, 2, -3, -2],\n [2, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7973
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 2, -3],\n [0, 0, -2, 0],\n [2, -2, -3, 0],\n [-3, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-99
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, -3, 0],\n [1, 2, 3, 2],\n [-3, 3, -3, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4867
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, 0, -2],\n [1, -2, -4, 1],\n [0, -4, -2, -1],\n [-2, 1, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6565
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 2, -2],\n [0, 1, 0, -1],\n [2, 0, 0, -4],\n [-2, -1, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
365
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, -1, 1],\n [2, 4, -3, 2],\n [-1, -3, -1, 1],\n [1, 2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
839
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 0, 0],\n [1, 3, -2, -2],\n [0, -2, 1, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0, -2],\n [-2, 1, 0, 2],\n [0, 0, 4, 1],\n [-2, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
343
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[4, 0, 4, 2],\n [0, 4, 0, 1],\n [4, 0, -1, 0],\n [2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1024
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 0, 0],\n [-2, -3, 2, 0],\n [0, 2, 2, 2],\n [0, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3574
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -2, 4, 1],\n [0, 0, -2, 4],\n [-2, 1, -2, 2],\n [1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3535
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 1, 2],\n [0, 2, -4, 1],\n [1, -4, -1, 0],\n [2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
482
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 4, 2],\n [0, 4, -2, 2],\n [4, -2, 3, -1],\n [2, 2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10525
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 0, -1, -2],\n [4, -3, -1, -1],\n [-3, 3, 2, -4],\n [-2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-23
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 1, -4],\n [4, -3, 0, 3],\n [4, -4, 2, -3],\n [2, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2322
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[4, 1, 0, -3],\n [1, 3, -4, 1],\n [0, -4, -2, 0],\n [-3, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
228
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -4, 0, 3],\n [-4, -4, 3, -2],\n [-3, 2, -2, -2],\n [-1, 0, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8229
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-1, -3, 4, 4],\n [2, -2, 2, 3],\n [3, 3, 4, 4],\n [4, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
450
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[1, 4, 4, 3],\n [-2, -3, 1, -1],\n [0, -2, -3, 3],\n [2, 1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, 0, 1],\n [3, -4, -3, 1],\n [-1, 3, 4, 3],\n [-4, 1, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1820
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-4, 2, 1, -2],\n [2, -1, 3, -2],\n [1, 3, 4, 1],\n [-2, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
182
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, -4, 3],\n [-3, 4, 4, -1],\n [4, 1, 1, 4],\n [-1, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1203
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -2, -1],\n [0, -3, -1, 4],\n [-2, -1, 1, -3],\n [-1, 4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
820
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -1, 2],\n [3, -4, 3, -2],\n [-1, 4, 4, 4],\n [-2, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
994
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 0],\n [0, -3, 3, 0],\n [0, 3, 0, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
593
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -4, 1],\n [4, 0, -2, -4],\n [3, 1, -2, -2],\n [-2, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2517
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 0, -1],\n [-1, -4, -1, -2],\n [0, -1, -1, -2],\n [-1, -2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6771
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-3, 0, -1, -1],\n [0, 0, -2, 0],\n [-1, -2, 2, 1],\n [-1, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -1, -4],\n [1, 3, 2, 0],\n [2, -1, 0, 1],\n [2, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-246
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, -2],\n [-2, 1, 3, 0],\n [0, 3, 1, -2],\n [-2, 0, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1600
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, -1, 0],\n [4, -4, -3, -3],\n [0, 1, -2, -3],\n [1, -2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1271
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, -4, -2],\n [-3, -4, 3, 1],\n [1, 4, -4, 3],\n [-1, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8954
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, 2, 2],\n [4, 3, -2, -1],\n [2, -2, 2, -1],\n [2, -1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8925
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 2, -1],\n [0, 0, 1, 0],\n [2, 1, 0, 3],\n [-1, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
262
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, -3, -4],\n [-4, -3, -4, 2],\n [1, 2, 0, -1],\n [2, 1, -4, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
386
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 0, 0],\n [0, -2, 1, 0],\n [0, 1, 2, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
910
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 3, 3, 3],\n [2, -2, 1, -3],\n [-3, 3, -2, 2],\n [2, 2, 2, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-49
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[3, -2, 0, -1],\n [1, 1, -2, 0],\n [-4, 2, 1, -2],\n [4, -2, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, -3, 4, 0],\n [2, 3, -1, 2],\n [3, 4, -1, 4],\n [-4, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[3, -1, -4, 2],\n [1, 1, -2, -3],\n [3, -4, -1, -3],\n [-4, -2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-275
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, -2, -2, 3],\n [-2, 3, 0, 0],\n [-2, 0, -3, 2],\n [3, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-3, -2, 0, 3],\n [-2, -1, 3, 2],\n [0, 3, -4, 1],\n [3, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
63
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 3, 4],\n [2, -2, -1, 4],\n [4, 4, -1, 3],\n [-4, -2, -1, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
41
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[2, -1, 3, 3],\n [1, -2, 2, 2],\n [4, 3, 4, 2],\n [-3, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
845
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[0, 1, 2, -2],\n [-2, 0, 4, 1],\n [2, 4, 4, 0],\n [2, -3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -3, 2],\n [0, 2, 2, -4],\n [2, 1, -4, -2],\n [-1, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
536
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[2, -2, -1, 0],\n [-2, -1, -4, -2],\n [-1, -4, 1, -2],\n [0, -2, -2, 0]]\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, -4, 1, 4],\n [-2, 2, -1, -1],\n [0, -4, 4, 4],\n [2, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1311
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 2, 4, -1],\n [-3, -4, 1, 4],\n [-2, -3, -4, 4],\n [-2, -3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1113
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-4, 1, -1, -4],\n [-1, 1, 3, 2],\n [-2, 1, 2, -2],\n [2, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 2, 2],\n [2, -3, 2, 1],\n [2, 2, -2, 2],\n [2, 1, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
691
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, -4, 2, -2],\n [0, 4, -1, -3],\n [4, -2, 2, -4],\n [3, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -3, -3],\n [0, 0, -4, 3],\n [1, 4, 0, 0],\n [-3, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
196
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-3, -1, -3, 4],\n [4, -4, 1, -3],\n [1, 0, 3, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-4, 0, -2, -2],\n [0, 2, -2, 0],\n [-2, -2, -1, -1],\n [-2, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, -4, -2],\n [-2, 0, 1, -3],\n [-1, -2, -3, 1],\n [1, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1236
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, -4, 4],\n [1, 1, 2, -3],\n [0, -4, 3, 4],\n [4, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1024
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -2, 0],\n [0, 1, 2, -1],\n [-2, 2, -4, -1],\n [0, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
403
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 1, -3],\n [-1, -3, 2, -1],\n [-1, 1, -1, 1],\n [2, 3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
65
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, 4, -4],\n [-1, 0, -4, 0],\n [4, -4, 3, 3],\n [-4, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
348
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -3, 4, 1],\n [-4, -3, 4, 2],\n [-2, -4, 4, -3],\n [-2, 0, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
468
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-3, -2, 0, -2],\n [-2, 3, -4, 0],\n [0, -4, 4, 2],\n [-2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2352
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, 0],\n [0, -1, -4, -2],\n [2, -4, 0, -3],\n [0, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6950
|
MATH
|
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