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[[-3, -4, 0, 2],\n [-3, -1, 3, 3],\n [-2, -4, -4, 0],\n [-3, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 0, -1],\n [2, -1, 2, 2],\n [0, 2, 0, 4],\n [-1, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
405
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 4, 1],\n [-4, -2, -3, -1],\n [-2, 2, 3, 2],\n [-1, -3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-168
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, -1],\n [1, -1, 2, 1],\n [2, 4, -4, 0],\n [0, 4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 3, 2, -1],\n [2, -2, 2, 1],\n [-3, 4, 1, 3],\n [-1, 1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2417
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 4, -1],\n [-3, -3, 1, 4],\n [2, -3, 4, 0],\n [-1, 1, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3703
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, -1],\n [0, 2, 1, 0],\n [0, 1, -4, 0],\n [-1, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-3, 0, -4, 0],\n [0, -2, 4, 0],\n [-4, 4, -3, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1604
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, -2, -3],\n [1, -4, -1, 4],\n [3, 4, 3, -2],\n [-4, 1, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, -2, -4],\n [1, -4, 1, -2],\n [1, 1, 1, 3],\n [4, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
471
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 3, -1],\n [2, 2, 3, -2],\n [3, 3, 0, 0],\n [-1, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1774
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, 0, 1],\n [3, 0, -1, 3],\n [2, 2, 3, 0],\n [-4, 4, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -1, -2, 1],\n [-2, -1, -2, 1],\n [-2, -3, -3, 4],\n [-4, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2652
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-4, 4, 0, -3],\n [4, 0, 4, 0],\n [0, 4, -1, 0],\n [-3, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 1, 0],\n [2, 1, -4, 0],\n [1, -4, -1, 0],\n [0, 0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
353
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 4, 4, 3],\n [2, 0, -3, -4],\n [4, -3, 0, 3],\n [-2, -1, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2534
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -4, -3, -4],\n [1, -4, -2, -1],\n [3, -1, 1, -3],\n [2, 1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
494
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, 0, -1, -2],\n [0, 4, 1, -4],\n [-1, 1, -1, 0],\n [-2, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -2, -3],\n [-2, -1, -2, 2],\n [-2, -2, 0, -2],\n [-3, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4287
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-2, -4, -3, 0],\n [1, -4, 1, -3],\n [3, 1, -4, -1],\n [3, 3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
508
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, -2, 2],\n [4, -3, -4, 1],\n [0, 2, -4, 1],\n [-4, 2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-200
|
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, -1, 4],\n [-3, 3, -1, 4],\n [-3, -4, 3, -2],\n [1, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10198
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, 4, 4],\n [0, -3, 4, -2],\n [-2, -1, -2, 0],\n [3, 4, -1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
419
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -3, 4],\n [-3, -1, 0, 0],\n [-3, -2, -1, -4],\n [-4, 0, 1, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, -4],\n [0, -1, 2, 0],\n [2, 2, 4, -2],\n [-4, 0, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14970
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 0],\n [0, -4, 1, 2],\n [0, 1, -1, 1],\n [0, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, -2, -2],\n [-2, 0, 0, 0],\n [-2, 0, -3, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5986
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, -3, -4],\n [0, 0, -4, -3],\n [1, 2, 4, 2],\n [4, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-123
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 4, 3, 0],\n [1, 2, 1, -1],\n [1, 1, 3, -4],\n [-3, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3735
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -3, 0, -4],\n [1, 4, 1, 4],\n [-2, 0, 2, -2],\n [1, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
189
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, 2, 0],\n [-3, 4, 1, 2],\n [2, 1, -3, 2],\n [0, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1050
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, 0, 1],\n [-3, 3, -2, 0],\n [0, -2, -1, 2],\n [1, 0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, 2],\n [-2, -3, 2, -4],\n [2, 2, 0, -1],\n [2, -4, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-474
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 0, -3],\n [-2, 3, 3, -3],\n [0, 3, -4, -2],\n [2, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-656
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 1, 0],\n [-2, 1, -2, 0],\n [1, -2, -4, 2],\n [0, 0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-70
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -2, 0],\n [0, 1, -2, 3],\n [-2, -2, -2, 2],\n [0, 3, 2, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-191
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, -1, 4],\n [2, -3, 4, 2],\n [3, 4, -3, 1],\n [0, -2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1106
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, 3, 3],\n [4, 2, 0, -3],\n [-2, 2, 1, -2],\n [-4, -2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1403
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, 2],\n [2, 3, 0, 0],\n [0, 0, -1, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1703
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -1, 2, -2],\n [-2, 2, 2, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
57
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, 0, 0, 2],\n [0, 0, 4, 1],\n [0, 2, 1, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, -4, -1, -4],\n [4, -2, 0, -3],\n [3, 3, 2, 0],\n [3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, -2, 4, -4],\n [1, 4, -3, 4],\n [2, -4, 3, -2],\n [2, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1851
|
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, 0, 1],\n [0, 4, -2, 3],\n [0, -2, -1, -2],\n [1, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
805
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[4, -1, 1, 3],\n [-2, -3, 1, 4],\n [-4, 4, 1, -1],\n [4, -1, 1, -2]]?\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[[-3, 2, 0, 2],\n [2, -1, 1, 0],\n [0, 1, -2, 2],\n [2, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
520
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, -1, 0],\n [2, -2, -2, 0],\n [-1, -2, -1, -1],\n [0, 0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
322
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 0, 0],\n [-1, 0, -1, -2],\n [0, -1, -1, 0],\n [0, -2, 0, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -3, -3],\n [0, 3, 1, -2],\n [-2, -3, -4, -4],\n [4, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9561
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, -4, 4],\n [4, 1, 1, -2],\n [4, -2, 1, -1],\n [4, -3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3888
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 4, 2],\n [0, -4, 2, -1],\n [4, 2, -2, 0],\n [2, -1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1215
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-2, -1, 1, 0],\n [-1, 1, 0, 3],\n [1, 0, 0, 2],\n [0, 3, 2, 3]]?\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 absolute values of all entries of the result:\nA =\n[[4, -4, 4, 0],\n [-4, 2, 2, -2],\n [0, -3, -1, 1],\n [-4, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1281
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 0, 0],\n [0, -3, -2, 0],\n [0, -2, -1, 2],\n [0, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
464
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 1, 1],\n [1, -3, -2, 2],\n [1, -2, -4, -2],\n [1, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1126
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, 1, -2, -3],\n [0, 4, -4, -1],\n [2, 1, 2, 3],\n [-1, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-154
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, 3, -4],\n [1, 1, -2, -1],\n [-1, 3, 0, -4],\n [0, -3, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
387
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, -4, 3, -3],\n [4, -4, -3, -1],\n [0, 0, 3, 2],\n [2, 4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-271
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, -4, 2],\n [0, -3, 0, 0],\n [-2, -1, 2, 4],\n [1, 1, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3250
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, 2, 0],\n [-1, 4, -2, -1],\n [2, -2, -2, 0],\n [0, -1, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
588
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -2, 2, 0],\n [-2, -4, -4, -2],\n [2, -4, 3, -2],\n [0, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10810
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, 0, -4, 0],\n [0, -3, 0, 0],\n [-4, 0, -2, -1],\n [0, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 1, 2],\n [2, -3, 0, 2],\n [1, 0, 4, 0],\n [2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
707
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 2, -4],\n [0, 2, 2, -1],\n [1, 4, -1, -2],\n [-2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, -3, -4],\n [0, 0, 1, -3],\n [-1, 3, 1, 0],\n [-1, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, -2, 1],\n [-1, 3, 0, 4],\n [-2, 0, 4, 0],\n [1, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
448
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[2, -2, -4, 2],\n [-2, -2, 0, 0],\n [-4, 0, 1, 2],\n [2, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-224
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 0, -2],\n [0, -3, 0, 2],\n [0, 0, -4, -2],\n [-2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4517
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 0, 2],\n [0, -2, 2, 0],\n [0, 2, 4, 2],\n [2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
536
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, -2],\n [-2, -4, 0, 0],\n [0, 0, -3, 0],\n [-2, 0, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
650
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, -4, 0],\n [-1, 4, 3, -3],\n [-4, 1, -3, 4],\n [0, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 4, 0, -2],\n [4, 3, 0, 1],\n [-2, 4, 1, -3],\n [-4, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
763
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 1, -1],\n [2, 0, 2, -1],\n [1, 2, -2, 0],\n [-1, -1, 0, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 3, 3],\n [-4, 2, 2, -2],\n [1, -2, -2, 0],\n [0, 3, 4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1093
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -3, 2],\n [2, 0, -2, -1],\n [-3, -2, -3, -2],\n [2, -1, -2, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 2, 2],\n [0, -3, -2, -2],\n [2, -2, -1, 0],\n [2, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-427
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, -3, 2],\n [1, 3, 1, 0],\n [-1, 2, -2, 3],\n [-3, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
73
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 2],\n [0, 2, 0, -1],\n [0, 0, -4, 2],\n [2, -1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 3, 2],\n [-2, 0, 0, -2],\n [3, 0, -4, -2],\n [2, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-209
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, -2, -2],\n [-3, -2, 3, 3],\n [-1, -1, 0, 1],\n [3, -4, 1, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, 1, 2],\n [4, -3, -1, 2],\n [1, -1, -4, -3],\n [2, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8524
|
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, 3, -1, 1],\n [-2, -1, 2, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6719
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, -3, -2],\n [-4, 3, 0, -4],\n [0, -2, 1, -1],\n [0, 3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4130
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -3, 0],\n [0, -4, -1, 1],\n [-3, -1, -3, -2],\n [0, 1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2854
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-1, 2, -3, -3],\n [2, -1, 0, 0],\n [-3, 0, 4, 0],\n [-3, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
823
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -4, 1],\n [-3, -1, 0, -2],\n [-3, 2, 2, 3],\n [2, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6092
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, -2, 3],\n [0, 0, 3, 1],\n [-4, -2, 3, -4],\n [2, 4, 0, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-23
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, 0, 3],\n [-3, -3, -2, 1],\n [0, -2, -1, 0],\n [3, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
838
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, 0, 1],\n [2, 3, 0, 0],\n [0, 0, 2, -1],\n [1, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1575
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 2, 3],\n [3, -1, 2, -3],\n [4, 4, 2, -2],\n [-4, -1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
481
|
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 [2, 1, 0, -1],\n [0, 0, 0, 0],\n [-1, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
359
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, 0, 0, -2],\n [0, -1, 2, 1],\n [0, 2, -3, 0],\n [-2, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 3, 0, -1],\n [-3, -4, -1, -3],\n [-2, -3, -4, 4],\n [-4, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9693
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -3, -4],\n [2, 0, 1, -1],\n [-4, 3, 0, -1],\n [2, -4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
532
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -3, 3, 1],\n [-3, -3, 1, 3],\n [3, 1, -1, -2],\n [1, 3, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23325
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, 3, 2],\n [-4, 1, 0, -1],\n [3, 0, 0, -3],\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"
}
] |
1604
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, 3],\n [-3, 1, 2, 1],\n [3, 0, -1, 2],\n [2, -1, -3, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-4, -2, -4, 0],\n [-2, 2, -2, 3],\n [-4, -2, -4, -4],\n [0, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
914
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[3, 4, 2, 3],\n [3, -3, 3, 1],\n [2, -4, 3, 3],\n [-4, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 0, -2],\n [2, -2, 1, 3],\n [0, 1, 0, -1],\n [-2, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-88
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.