messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 0, 0],\n [0, 1, 0, 2],\n [0, 0, 0, 0],\n [0, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, -1, -2],\n [0, -4, -2, -1],\n [-1, -2, 0, 0],\n [-2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-536
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -4, -3],\n [-2, 3, -2, 0],\n [-1, -1, -3, -4],\n [-3, -2, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28748
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -1, 2],\n [0, 4, -1, 0],\n [-1, -1, 0, -2],\n [2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
63
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 4, -2, -2],\n [4, -3, 0, -4],\n [-2, 0, -4, 0],\n [-2, -4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-368
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 4, 0],\n [0, 4, -3, -3],\n [4, -3, 1, -2],\n [0, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9822
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -1, -3],\n [0, -3, -1, 0],\n [-1, -1, 0, -4],\n [-3, 0, -4, -1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-19
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[3, 3, 3, -2],\n [2, -4, 1, -4],\n [0, 0, 1, 0],\n [3, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -1, 2],\n [-3, -3, -4, -2],\n [-4, 0, -3, 1],\n [4, -3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9110
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-3, -1, -2, 2],\n [-1, 3, 1, 2],\n [-2, 1, -3, 2],\n [2, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 0, 0],\n [2, -1, 2, 0],\n [0, 2, 4, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
513
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[0, -2, 3, 1],\n [-2, 1, 2, -1],\n [3, 2, -4, 3],\n [1, -1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, -2, -4, -1],\n [-1, 2, 2, -1],\n [2, 1, -2, -1],\n [3, -3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-228
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-4, 0, 2, 2],\n [-4, -4, 3, -1],\n [1, -4, 3, -2],\n [-3, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-438
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-3, 0, -2, 1],\n [0, -2, 0, 0],\n [-2, 0, -3, 1],\n [1, 0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-3, -2, -2, 3],\n [3, -2, 0, 0],\n [-1, -3, -1, 2],\n [0, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, 4, 0, 0],\n [4, 3, 0, 0],\n [0, 0, 2, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, -1, -4, -2],\n [0, -4, -1, -1],\n [0, -2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[2, 2, -3, 0],\n [2, -1, 0, -2],\n [-3, 0, -2, 2],\n [0, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
108
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 2],\n [-2, -3, 3, 3],\n [-3, 3, -3, -2],\n [-3, -2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
654
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, 4, -2, 0],\n [4, 1, 2, 2],\n [-2, 2, 1, -1],\n [0, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1229
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -1, 2, -2],\n [-1, -2, -2, 0],\n [2, -2, -4, -1],\n [-2, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1394
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, 2, -2],\n [4, 0, 2, 0],\n [2, 2, 3, 4],\n [-2, 0, 4, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-4, 2, 0, 0],\n [4, 0, 4, -2],\n [-2, 3, 2, 4],\n [3, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
104
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 2, -4],\n [-2, -3, 3, 1],\n [2, 3, 0, 0],\n [-4, 1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1231
|
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, 1, 0],\n [1, 1, -2, 4],\n [-2, -3, -4, -3],\n [-3, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3572
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 0, -2],\n [-2, -4, -2, -1],\n [0, -2, 1, 0],\n [-2, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7858
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 0, 4],\n [1, -4, 2, 1],\n [-1, -1, -2, -3],\n [-1, -1, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
512
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, 4, 0],\n [1, 1, -3, -4],\n [3, 4, 3, 1],\n [-2, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1000
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -2, 3],\n [-1, 3, -4, -2],\n [1, -1, -4, -3],\n [4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7507
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 2, 0],\n [-2, 1, 0, -3],\n [2, 0, -4, 4],\n [0, -3, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1838
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, -2, 0],\n [-1, 2, -4, 2],\n [-2, -4, 1, 0],\n [0, 2, 0, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-248
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -2, 1],\n [0, 3, 0, 2],\n [-2, 0, -3, 1],\n [1, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1372
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 2],\n [2, -3, 0, 0],\n [0, 0, -4, -1],\n [2, 0, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
858
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, -1, 2],\n [-2, -3, -2, 2],\n [-1, -2, -2, -1],\n [2, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-309
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -4, 2, -4],\n [-2, 0, 4, 4],\n [0, -1, 3, 0],\n [-4, -2, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18550
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, -3, 1],\n [1, -3, -2, -4],\n [-1, -2, 3, -1],\n [2, -3, -4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1947
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 4, 3, -1],\n [1, -4, -4, -2],\n [-3, -2, 3, -2],\n [2, -3, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-576
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 0, -2],\n [0, 1, 0, 2],\n [0, 0, 0, 0],\n [-2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -3, 3],\n [0, 4, 2, 4],\n [-2, 2, -3, -1],\n [-3, 3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
324
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 2],\n [0, 4, 0, -2],\n [0, 0, -1, 0],\n [2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
794
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 0, -4],\n [-1, 3, 2, 0],\n [1, -1, 4, -2],\n [-1, 2, 2, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, 2, -4],\n [-2, 3, 4, 2],\n [4, 2, 4, 3],\n [2, 4, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2368
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, -2, 0, 0],\n [-2, 1, -2, 0],\n [0, -2, 3, 0],\n [0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, 2, -2],\n [-4, -2, 0, 4],\n [2, 0, -1, 0],\n [-2, 4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9606
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[1, -4, -4, -2],\n [-4, 3, 3, 1],\n [3, -2, -4, 3],\n [2, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-380
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -2, 2],\n [-2, -3, 2, 0],\n [-2, 2, -3, 0],\n [2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
677
|
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, 2, -4],\n [-4, 2, -1, 3],\n [0, 2, 2, -4],\n [-3, 1, 4, 3]]\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^4 where A is:\n[[-3, 0, 0, 2],\n [0, -1, 0, 0],\n [0, 0, 0, 2],\n [2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1774
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 2],\n [0, 4, 4, 4],\n [0, 4, -3, 2],\n [2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1543
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 3, 1],\n [-1, -4, 0, 0],\n [-3, -3, -2, -4],\n [3, -4, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-137
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -4, -3, 1],\n [-1, 0, -2, -1],\n [-4, 1, 3, 3],\n [-3, 3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
494
|
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, -3, -1],\n [0, -3, -4, -4],\n [-4, 4, -2, 4],\n [4, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7442
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, 0, -1, -3],\n [3, 0, 4, 1],\n [-4, 0, -4, 3],\n [1, 4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, -3, 3],\n [-3, -1, -2, 0],\n [-3, -2, 3, -2],\n [3, 0, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, 1, 0],\n [3, -2, -2, 2],\n [2, 1, 0, 4],\n [4, 2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6375
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, 0, -2, -2],\n [0, -2, -2, 1],\n [2, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4190
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -1, 1, 2],\n [-1, -2, 4, 2],\n [1, 4, 1, 0],\n [2, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1040
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 1, 0],\n [0, 3, 0, 0],\n [1, 0, 3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
223
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -4, -1, 0],\n [3, -1, 2, -2],\n [-1, -1, -1, -3],\n [4, -1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
457
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, 0],\n [2, 0, -4, -2],\n [0, -4, 3, 0],\n [0, -2, 0, -1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
248
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -1, 0, 2],\n [-1, -4, 2, -1],\n [0, 2, 3, -1],\n [2, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
661
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, 2],\n [0, -4, -1, 0],\n [0, -1, -3, -2],\n [2, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-301
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, -3, 2],\n [-2, -1, 2, 4],\n [-3, 2, 1, -1],\n [2, 4, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
287
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 3, 1, 0],\n [3, 1, 2, -2],\n [1, 2, -4, 0],\n [0, -2, 0, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[2, 0, -4, 4],\n [-2, 4, 1, -2],\n [-1, -3, 3, 1],\n [4, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
600
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, -2, -2],\n [1, 0, -2, 2],\n [-2, -2, 0, -2],\n [-2, 2, -2, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
218
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, -4, -3, -1],\n [-1, 4, 0, 1],\n [0, 1, 3, 0],\n [-3, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
122
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, -4, -4],\n [4, -4, 4, -2],\n [3, -3, 2, -4],\n [0, -2, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8819
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, 0, 2],\n [3, -1, -4, 3],\n [2, 1, -4, -3],\n [-3, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-190
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, 4, 2],\n [-3, -3, 3, -3],\n [4, -1, 0, -4],\n [2, -4, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1271
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -3, 0],\n [3, -4, 3, -4],\n [-1, -4, 0, 1],\n [1, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
838
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, 4],\n [1, 1, 4, 3],\n [1, 3, 1, -4],\n [4, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
356
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, -1, 2],\n [1, 2, 0, 0],\n [-1, 0, 3, 0],\n [2, 0, 0, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-2, -4, 4, 4],\n [0, -1, -1, -2],\n [1, -1, 1, 3],\n [4, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
175
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, -4, 0, 0],\n [-4, 4, 2, -2],\n [0, 2, -3, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-35
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, 2, -4],\n [-3, -3, -1, 3],\n [-3, -1, 1, 3],\n [-4, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10027
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, -2, 0],\n [2, -2, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
385
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 0, -1],\n [-2, 4, 0, -4],\n [0, 0, 1, -2],\n [-1, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10493
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, -2, 0],\n [3, 0, -4, -2],\n [-2, -4, 4, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1045
|
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, -2, 0],\n [2, -4, -2, -1],\n [-2, -2, -1, 2],\n [0, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
702
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -2, 0],\n [0, 4, 2, 0],\n [-2, 2, 2, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
215
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, 0, -4, -2],\n [0, 1, 4, -1],\n [-4, 4, 2, 0],\n [-2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
689
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, -3, -4],\n [3, -2, 4, -1],\n [0, 1, -1, 0],\n [-1, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
94
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, -2, 1],\n [-3, 3, -3, 1],\n [1, -1, -1, 4],\n [4, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[2, -3, -4, 0],\n [-3, -1, 1, -1],\n [-4, 1, 1, 4],\n [0, -1, 4, -1]]\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[[-2, -2, -2, -2],\n [-2, -2, 0, -2],\n [-2, 0, 2, 0],\n [-2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-445
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 0, 0],\n [2, 3, 0, -1],\n [0, 0, -4, 0],\n [0, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1641
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 2, 2],\n [2, 3, -2, 0],\n [2, -2, -2, -2],\n [2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5575
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 0],\n [0, -3, -2, -3],\n [0, -2, 1, 2],\n [0, -3, 2, -2]], determine the value at position (1, 3).\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[[-2, -1, -1, 0],\n [-1, 2, 0, -3],\n [0, 1, -3, -3],\n [-3, 4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-316
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 3, 0, 4],\n [-2, -3, 2, 2],\n [4, -2, 0, -1],\n [-2, 4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2006
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 1, -1, 4],\n [-2, 2, -1, -2],\n [-3, 1, -2, -3],\n [3, -1, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, 1, 0],\n [0, -3, -2, -2],\n [3, -3, 0, 1],\n [3, -1, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, -1, -1],\n [-1, -4, 2, -1],\n [0, 1, 0, -3],\n [3, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1550
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, -1, 3],\n [-2, -4, -2, 0],\n [2, -2, -2, 2],\n [-3, 4, 0, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-224
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, -3, -2],\n [-2, 3, 2, -1],\n [-4, 0, -1, -1],\n [0, 4, 1, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 4, -4, -1],\n [-1, -3, 0, -1],\n [1, 2, -1, 0],\n [4, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
467
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -4, -4, -1],\n [-4, -4, 2, 2],\n [1, 1, 0, -4],\n [4, 4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17786
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-4, 0, 2, 0],\n [0, 1, 2, 4],\n [2, 2, -1, -2],\n [0, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
212
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.