messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, -1, 0],\n [1, 2, -2, -2],\n [-1, -1, -3, 3],\n [2, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
428
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, -2, 0, 3],\n [-2, -1, -4, -4],\n [0, -1, -2, -2],\n [0, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, 0, -2],\n [-2, 0, 1, 0],\n [0, 1, 1, 0],\n [-2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
198
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -2, -2],\n [0, -1, 0, 2],\n [-2, 0, -3, 0],\n [-2, 2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-300
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 1, 1],\n [-4, -1, 2, 2],\n [2, 3, -3, 3],\n [4, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1176
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-4, 3, 0, 2],\n [3, 4, -1, 0],\n [0, -2, -4, 0],\n [-3, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
651
|
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, 2, 1],\n [1, 0, -1, 2],\n [1, -4, 2, 1],\n [-4, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
856
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -4, -2],\n [2, -2, 1, 0],\n [-4, 1, 3, -1],\n [-2, 0, -1, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
299
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, -2, -1],\n [0, -1, 0, -2],\n [-2, 0, -4, 0],\n [-1, -2, 0, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-2, 2, -1, 0],\n [2, -4, -2, 0],\n [-1, -2, -3, -2],\n [0, 0, -2, 1]]\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^4 where A is:\n[[1, 0, -2, -2],\n [0, -3, -3, 2],\n [-2, -3, -2, -1],\n [-2, 2, -1, 1]]?\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^3 where A is:\n[[0, 2, -2, -1],\n [2, 1, 4, -4],\n [-4, 3, -1, 2],\n [-1, 3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-138
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, 0, 0],\n [4, 1, 3, 0],\n [0, 3, -4, -4],\n [0, 0, -4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1739
|
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, -2, 1],\n [2, -1, 2, 3],\n [-2, 2, -3, -1],\n [1, 3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1072
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2, 4],\n [0, -2, 0, 1],\n [2, 0, -2, 0],\n [4, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2274
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, -2, 3],\n [-2, 0, 2, -4],\n [-3, -1, -3, 0],\n [-1, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
949
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[1, 3, 0, -1],\n [1, -3, 0, 0],\n [1, 1, 0, 3],\n [4, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
55
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 4, -1, 4],\n [1, -1, -4, -1],\n [-1, -2, 1, 3],\n [2, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
558
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, -1, 2],\n [-2, -1, 2, 0],\n [-1, 2, 1, 2],\n [2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
311
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, 2, 3],\n [-2, 3, 0, -2],\n [-1, -1, -3, -3],\n [-2, 4, -4, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 4, 0],\n [-3, -4, 4, -2],\n [1, -4, 0, 3],\n [1, -1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-35
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[0, -2, -4, 0],\n [-2, -2, 0, -1],\n [-4, 0, -2, 2],\n [0, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-60
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 2, -3],\n [-1, -2, -1, 2],\n [-3, 4, -3, 1],\n [0, -4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-517
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 1, 0],\n [-4, 1, 3, -2],\n [3, 0, -2, -4],\n [-1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
278
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 2, 4],\n [-3, -4, 2, -4],\n [0, 0, -1, 2],\n [0, 3, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-59
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, -3, -3],\n [2, -2, 3, 0],\n [3, 3, 1, 2],\n [3, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
945
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 1, 1, -4],\n [4, 0, 1, 3],\n [-1, -1, 2, 4],\n [0, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3586
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 2, 1],\n [2, 1, 0, 0],\n [2, 0, 4, 1],\n [1, 0, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1596
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, -1, -1],\n [1, -1, 2, 4],\n [3, 3, -3, -2],\n [2, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2562
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 3, 0],\n [2, 2, 0, 2],\n [3, 0, -4, -2],\n [0, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-99
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[0, -2, -1, 0],\n [-2, 0, 3, 2],\n [-1, 3, 0, -2],\n [0, 2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
112
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[4, -1, -4, 0],\n [-1, -3, 0, -2],\n [-4, 0, -3, 0],\n [0, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 0, 2],\n [-4, -1, 4, 0],\n [-1, 4, -2, -3],\n [4, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-913
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 2, 1, 3],\n [2, 4, 1, -2],\n [1, 1, 1, 0],\n [3, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, 0, 2],\n [1, 1, 0, 2],\n [0, 0, -4, 0],\n [2, 2, 0, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, -3, 3, 4],\n [-2, 3, -4, -4],\n [3, 2, 1, -1],\n [-1, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
155
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, -4, 3, 4],\n [-3, 4, 1, -2],\n [2, 3, 4, -3],\n [0, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1288
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[4, 2, 0, -1],\n [2, -3, 0, 2],\n [0, 0, -1, -1],\n [-1, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -3, 4],\n [-3, 0, -1, 0],\n [1, 1, 4, 0],\n [-2, -1, 4, -3]]\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[[-2, -2, -4, -4],\n [-3, 0, -4, -1],\n [2, 4, -1, 3],\n [-2, -1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1080
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 2, -3],\n [2, -3, -4, -3],\n [1, -2, -3, 0],\n [-1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9484
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, -3],\n [-2, -3, 2, -2],\n [0, 2, -4, -2],\n [-3, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5205
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, -2, -1],\n [-2, -1, 0, -2],\n [-2, 0, 0, 1],\n [-1, -2, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-741
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, -3, 2],\n [-2, -3, -1, -1],\n [-3, -1, 4, -1],\n [2, -1, -1, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 1, 3, 4],\n [-2, -1, 0, -1],\n [4, 0, -2, 2],\n [2, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1190
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, -1, 0],\n [0, 1, -4, 0],\n [-1, -4, 3, 3],\n [0, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7380
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 2, 3, -1],\n [-2, 0, 2, 2],\n [-1, -3, 2, -4],\n [2, 3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, -1, 3],\n [2, -2, 2, -3],\n [-3, -1, 4, -3],\n [-1, 3, -1, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
167
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 2, -4],\n [-2, -1, 4, -4],\n [2, 2, 1, -3],\n [3, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-173
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, -2, 1],\n [-2, 2, -3, -2],\n [-3, 2, -4, 2],\n [-4, 4, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
994
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -4, -4],\n [4, 1, -3, -4],\n [2, 2, 1, 2],\n [-4, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-312
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, 0, 3, -1],\n [2, -2, 2, 2],\n [-1, 1, 0, -3],\n [3, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 0, 0],\n [1, -4, 0, 0],\n [0, 0, 2, 2],\n [0, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
77
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[2, -3, -1, 0],\n [-2, -3, -4, 2],\n [-1, -2, -3, -2],\n [4, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
907
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-1, 0, 0, 0],\n [0, 1, 2, -2],\n [0, 2, 0, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, 2, 0],\n [2, -2, 4, 2],\n [2, 4, 3, 1],\n [0, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9552
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[3, 4, -3, -1],\n [1, 2, 4, 2],\n [0, -2, -1, -3],\n [-1, 3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, 0, 4, 2],\n [0, 0, 0, 3],\n [4, 0, 1, 0],\n [2, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
369
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, 2, 0],\n [-3, -4, -4, -3],\n [4, -2, -4, 4],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1139
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 1, -2],\n [-2, 4, 2, 0],\n [1, 2, 1, 1],\n [-2, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-23
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 0],\n [0, 0, -2, 0],\n [2, -2, 0, 0],\n [0, 0, 0, -4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, -2, -2, 0],\n [-2, 3, 2, -2],\n [-2, 2, 0, 0],\n [0, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, -1, -3],\n [0, -1, 2, 1],\n [-1, 2, -3, 2],\n [-3, 1, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
25
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, -4, 0],\n [2, 1, -2, 1],\n [-4, -2, -1, 2],\n [0, 1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1579
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, -2, 1],\n [0, 4, 0, -4],\n [-2, 0, -2, -2],\n [1, -4, -2, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
272
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, 4, -1],\n [0, 2, 3, -3],\n [0, -1, 2, -1],\n [-3, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2696
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, -1, -3, 3],\n [-1, -2, 3, 2],\n [-4, 0, -4, -4],\n [-1, 1, 2, -2]]\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 absolute values of all entries of the result:\nA =\n[[-1, 2, -1, 3],\n [0, 4, 1, -2],\n [-1, -4, 3, -4],\n [1, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
870
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, 2, 1],\n [-3, -4, 4, -4],\n [-3, -4, 3, -4],\n [1, -1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-215
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, -4, 0],\n [-2, 4, -2, -1],\n [-4, -2, -1, 0],\n [0, -1, 0, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-60
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -2, -1],\n [-2, -3, 1, 0],\n [-2, 1, 4, -2],\n [-1, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3331
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, -3],\n [4, 0, -4, 3],\n [3, 4, -4, 2],\n [-3, 4, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-205
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -1, 0, 1],\n [-1, -4, -1, -1],\n [0, -1, 4, 0],\n [1, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-178
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 2, -4],\n [-3, 4, -3, 0],\n [-3, 4, 3, -2],\n [1, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-146
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[4, 0, 0, -1],\n [0, 4, 2, 2],\n [0, 2, -4, -1],\n [-1, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -1, -2, 2],\n [-1, -3, -1, -2],\n [-2, -1, 1, 0],\n [2, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1951
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0, -3],\n [-2, 4, 0, -2],\n [0, 0, 3, 4],\n [-3, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
205
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, 3, -2],\n [-4, -2, 4, 4],\n [4, 0, 1, -1],\n [-2, -4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-436
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[4, 3, 0, 1],\n [3, -4, 1, -2],\n [0, 1, -1, 3],\n [1, -2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-250
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, -3, 4, 2],\n [2, 1, 3, -2],\n [-1, 0, -1, 1],\n [4, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-565
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-3, -2, 0, 0],\n [-2, 3, 0, -2],\n [0, 0, -4, -2],\n [0, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -2],\n [-1, 1, -3, 0],\n [0, -3, -3, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5058
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, -2, 3, 2],\n [-2, 3, -2, -3],\n [3, -2, -2, -2],\n [2, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
289
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, 2, 0],\n [4, 1, 2, -1],\n [2, 2, -3, -1],\n [0, -1, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
196
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, -2, -2],\n [-2, 2, 3, -2],\n [-2, 3, -1, 2],\n [-2, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2105
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0, -2],\n [1, 3, -2, 2],\n [0, -2, -2, 3],\n [-2, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 3],\n [4, -2, -3, -1],\n [4, -1, -1, 3],\n [-3, -3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2327
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, -1, 4],\n [3, 0, -4, -3],\n [1, 0, 0, 1],\n [-1, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1306
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, -2, 2],\n [-3, 2, -2, 0],\n [-2, -2, -4, 2],\n [2, 0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1444
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, 3, 1],\n [-1, 0, 0, -1],\n [4, -1, 3, 1],\n [-2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
888
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 4, -1],\n [2, 2, 0, 4],\n [4, 0, 4, 4],\n [-1, 4, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2928
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, -3, -2],\n [3, 4, 1, -3],\n [3, 0, -4, 3],\n [0, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
181
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, 4, -3],\n [-4, -2, 1, -3],\n [-2, -4, 3, 1],\n [1, 1, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4966
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, 1, -4],\n [-1, 1, 3, 0],\n [-4, 3, 2, -3],\n [4, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1036
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, -1, 3, -3],\n [3, -2, 2, 1],\n [-1, -3, 3, 2],\n [-2, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
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, 4, 0],\n [-2, -4, -2, -2],\n [4, -2, 3, -2],\n [0, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1579
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -4, 0, 0],\n [-4, 3, 2, 1],\n [0, 2, -2, -2],\n [0, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
763
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -2, 3, 0],\n [-2, -4, 2, -1],\n [3, 2, 0, 0],\n [0, -1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1812
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -1, -4],\n [3, -4, -2, 1],\n [2, -4, -2, 2],\n [-4, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
65
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -4, 0],\n [-1, 3, 3, -2],\n [-4, 3, 1, 2],\n [0, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
199
|
MATH
|
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