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, -3, 0, -3],\n [2, -1, -4, -3],\n [4, -1, -4, 0],\n [1, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
316
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, -4, -2],\n [4, 4, 0, -2],\n [-4, 0, -4, -2],\n [-2, -2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-299
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 1, -4],\n [1, 0, 0, 3],\n [-3, 2, -2, 2],\n [-4, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-27
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, 2, -2],\n [0, -2, 0, 0],\n [2, 0, -2, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
341
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 4],\n [0, 4, 0, 4],\n [-2, 0, 1, 0],\n [4, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10059
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, -2, -1, 0],\n [3, 1, 0, -1],\n [4, 2, -3, 0],\n [2, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[0, -1, 2, 0],\n [-1, -4, -4, 0],\n [2, -4, -2, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-152
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 4, -4, 0],\n [-2, 3, -4, -1],\n [-1, -1, -3, -3],\n [3, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-530
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-2, 0, 2, -2],\n [0, 1, 0, 3],\n [2, 0, 0, 2],\n [-2, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-213
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, -1, -1, -2],\n [4, -4, 1, -1],\n [3, -4, 2, -2],\n [0, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
103
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, -4, 0],\n [1, 3, 3, -4],\n [-4, 3, 1, 2],\n [0, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1591
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, -2, -2],\n [-2, -4, -2, 2],\n [1, -2, -1, -4],\n [2, -1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2438
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, -2, 1],\n [4, -1, -2, 0],\n [-2, -2, 2, -2],\n [1, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
991
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -1, -4],\n [-4, -4, -4, -2],\n [4, -4, -3, 2],\n [1, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11507
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, 0],\n [2, 4, 2, 0],\n [0, 2, 1, -2],\n [0, 0, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
526
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[2, -2, 1, 2],\n [-2, -4, -1, -1],\n [1, -1, -4, 1],\n [2, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, -3, 2],\n [2, 4, -1, -3],\n [4, -1, 2, 1],\n [-3, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3944
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 0, -4],\n [2, -4, 2, 2],\n [0, 2, 3, 0],\n [-4, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-205
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 0, 2],\n [0, 3, 2, -1],\n [0, 2, 1, 1],\n [2, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1788
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, -3, -1],\n [-3, 0, -3, -2],\n [-3, 2, 2, -3],\n [3, 3, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-312
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, -4, 1],\n [-3, -2, 0, -2],\n [2, -4, -4, -4],\n [-3, -4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1284
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 1, 4],\n [0, 3, 1, -1],\n [-4, 1, -2, 2],\n [-3, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1791
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, -3, 0],\n [2, -1, 4, -4],\n [-3, 4, 0, 0],\n [0, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
283
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-3, 0, 0, 2],\n [0, -4, -2, 2],\n [0, -2, -1, -2],\n [2, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, 2],\n [1, -1, -2, -3],\n [-1, 1, 3, -3],\n [3, 3, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-693
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -3, 0, 2],\n [-3, -4, 0, -2],\n [0, 0, -1, 4],\n [2, -2, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 1, -2],\n [0, 1, -1, 0],\n [1, -1, -4, 0],\n [-2, 0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
245
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -4, -1, 4],\n [2, -4, -3, -2],\n [2, 0, 1, 3],\n [3, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
500
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, 4, 3, 4],\n [3, 3, -3, 2],\n [4, 1, 4, -1],\n [2, -2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
62
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -2, -3],\n [0, 0, -1, -2],\n [-2, -1, 2, -2],\n [-3, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-176
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -4, 0, 2],\n [-4, 2, -3, 0],\n [0, -3, 3, 1],\n [2, 0, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1184
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, -1, -2, 0],\n [-1, -2, 2, 0],\n [-2, 2, 3, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
749
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 0, -2],\n [1, 0, 3, -2],\n [0, 3, -2, 0],\n [-2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[0, 4, 0, -4],\n [4, 1, 1, 0],\n [0, 1, -1, 2],\n [-4, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
172
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 4, 4, 4],\n [-4, 2, 2, -4],\n [-1, 0, 3, 0],\n [-3, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, -4, -3],\n [-4, 2, -4, 4],\n [-3, -3, 1, 4],\n [-3, 3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20262
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 4],\n [0, 4, -2, -2],\n [0, -2, -2, -2],\n [4, -2, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5042
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, -2, 1],\n [3, 3, -3, -4],\n [1, 2, 0, 1],\n [-2, -4, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-100
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 1, 0],\n [-2, 2, 0, -1],\n [1, 0, -2, 0],\n [0, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-94
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-2, 1, 0, -2],\n [1, 3, -3, -2],\n [0, -3, -1, -2],\n [-2, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 2, -1, -2],\n [2, 1, 2, -4],\n [3, -1, 4, 2],\n [-2, -2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
240
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, -1, 0],\n [4, -3, -2, 0],\n [-1, -2, -3, -2],\n [0, 0, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1773
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -2, 0],\n [0, -4, -4, -2],\n [-2, -4, -4, 0],\n [0, -2, 0, -3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
840
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -2, 1, 0],\n [-2, -3, -2, 3],\n [1, -2, -4, 2],\n [0, 3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6979
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, -1, 1],\n [-3, 2, -2, -2],\n [3, -4, 1, 0],\n [1, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
687
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 4, -2],\n [1, 4, 4, -3],\n [4, 4, 0, 0],\n [-2, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11361
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-1, -1, 0, -2],\n [-1, 3, 0, -2],\n [0, 0, -1, 0],\n [-2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-314
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[2, -4, 2, 3],\n [-2, -3, -1, 1],\n [-4, -4, 0, 4],\n [1, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -3, 2],\n [0, 3, 2, 2],\n [-3, 2, -2, 1],\n [2, 2, 1, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-310
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, -1, 4],\n [-2, -2, 3, 0],\n [-4, -2, -4, 3],\n [-3, 4, 3, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-995
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 0, -3],\n [0, 3, -2, 4],\n [0, 3, -2, -4],\n [2, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1175
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -1, 4],\n [-2, -2, 0, -2],\n [-1, 0, -3, 0],\n [4, -2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-173
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[2, -3, 4, 3],\n [0, -2, 4, 1],\n [-2, 3, 0, 0],\n [-2, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-66
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, -2, 3, -1],\n [2, -1, 1, 1],\n [2, 2, -3, 3],\n [-3, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
71
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, -2, 1],\n [1, 4, 2, -1],\n [4, -2, 2, -1],\n [3, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2539
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -2, -4],\n [-4, 4, -1, 0],\n [-2, -1, 1, 0],\n [-4, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13285
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, -1, 2],\n [2, -1, 1, -1],\n [-1, 1, 4, -2],\n [2, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
265
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-2, 0, 1, 3],\n [0, 0, -2, 0],\n [-1, -3, -3, -1],\n [0, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[4, -2, 4, 0],\n [-2, 1, 1, -2],\n [4, 1, -3, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
172
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, -4, -2],\n [4, 3, 1, 0],\n [-4, 1, 0, 0],\n [-2, 0, 0, 4]], determine the value at position (2, 2).\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^4 where A is:\n[[3, -1, -2, -4],\n [3, -1, -1, -1],\n [-3, -4, -4, 1],\n [0, -3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2261
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, -2, 0],\n [3, 4, 1, 0],\n [-1, -2, -4, 1],\n [-2, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-51
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -3, -3, 2],\n [-3, -2, -4, 0],\n [-3, -4, -3, 1],\n [2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14010
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 0],\n [2, 0, 0, 3],\n [0, 0, -1, 0],\n [0, 3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
355
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 0, 2],\n [2, -3, 0, 2],\n [0, 0, 1, 0],\n [2, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
899
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -3, -1, 0],\n [3, 2, 1, 2],\n [-3, 3, 4, 1],\n [-1, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5324
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, 2, 0],\n [2, 2, 0, 0],\n [2, 0, 0, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
305
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -3, 0, 0],\n [-3, -3, -2, -2],\n [0, -2, -3, 2],\n [0, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1135
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, -4, 1, -1],\n [-4, 1, 4, 0],\n [1, 4, 1, -2],\n [-1, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1557
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, -4, 0],\n [3, 1, 1, 2],\n [-4, 1, -1, 2],\n [0, 2, 2, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
81
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-2, -1, -2, -3],\n [-1, 1, -1, 1],\n [-2, -1, 4, 0],\n [-3, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 1],\n [-1, -3, 0, 2],\n [0, 0, 4, 0],\n [1, 2, 0, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, 3, 3, 2],\n [3, 2, -4, 2],\n [-1, -3, -1, 4],\n [-1, -4, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-727
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-3, -1, 2, 0],\n [-1, -3, -3, -2],\n [2, -3, 2, 2],\n [0, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-87
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, 2, 0, 0],\n [2, 4, 0, 0],\n [0, 0, 3, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
192
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-4, -1, 3, -4],\n [-3, 1, -2, -3],\n [-1, 1, -2, 4],\n [-2, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
473
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[4, -4, 2, -2],\n [-4, 0, 0, -2],\n [2, 0, 2, 2],\n [-2, -2, 2, 0]]\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[[0, -2, 1, 2],\n [-2, 2, 0, 4],\n [1, 0, -2, 2],\n [2, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3015
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, -2, -4],\n [2, 2, -1, 0],\n [-2, -1, -1, -2],\n [-4, 0, -2, -3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
208
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, -2, -3],\n [-1, 2, -1, 0],\n [-2, -1, -4, 4],\n [-3, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1006
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 3, 4],\n [-2, 1, 3, -4],\n [1, -1, -4, 1],\n [4, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1177
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, -3, -1, -2],\n [-1, -3, -3, -2],\n [0, -4, -4, 2],\n [-2, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-137
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 1, 1],\n [0, -4, -1, 2],\n [1, -1, 4, 2],\n [1, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
884
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 4, 0, 1],\n [1, -4, 1, -4],\n [4, -4, 2, 0],\n [2, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-491
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-1, 1, 2, 0],\n [1, -3, 2, -2],\n [2, 2, 2, -1],\n [0, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[2, 1, -2, 1],\n [1, 2, 1, 0],\n [-2, 1, 3, 3],\n [1, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
176
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-1, 0, -2, 4],\n [-1, 1, 2, 1],\n [-1, 0, 0, 3],\n [0, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 0, -2],\n [3, 1, -2, -1],\n [0, -2, -4, -2],\n [-2, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5546
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, -4],\n [0, -1, 0, 0],\n [1, -4, -1, 4],\n [1, 4, -3, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
143
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[3, 1, -2, -3],\n [1, -2, -2, 0],\n [-2, -2, -4, 0],\n [-3, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
264
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, 1, 0],\n [1, 1, 0, 0],\n [1, 0, -1, -4],\n [0, 0, -4, 3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, -2, -2],\n [2, 0, -1, 1],\n [2, 3, -1, 1],\n [2, 2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
454
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 0],\n [-2, -3, 2, 0],\n [0, 2, 4, 0],\n [0, 0, 0, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 4, 3, 1],\n [4, -3, 1, 2],\n [3, 1, -1, 1],\n [1, 2, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7635
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[0, -1, 2, 2],\n [-1, 0, 1, 3],\n [2, 1, 4, 2],\n [2, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
232
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -3, 0, 3],\n [3, 0, -1, 0],\n [-2, -1, 2, -2],\n [1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
89
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 2, 3],\n [2, 3, 3, -4],\n [-1, -3, 1, 0],\n [-1, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
594
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, -2, 3],\n [-4, 2, 3, -2],\n [-2, 3, -4, -2],\n [3, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30627
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[4, -1, 0, -4],\n [-4, 1, 3, -4],\n [0, -4, 3, -1],\n [-4, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-222
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, 4, -3],\n [2, 0, -1, -3],\n [2, -4, -4, 1],\n [-2, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1273
|
MATH
|
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