messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 0],\n [0, 0, 0, 4],\n [0, 0, 2, 2],\n [0, 4, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3470
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 1, -2],\n [-1, 3, -1, 0],\n [4, -3, 0, 3],\n [2, 0, -4, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
219
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, -1, 0],\n [1, -2, 0, -2],\n [-2, -4, 0, 2],\n [-2, 4, 2, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-27
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 4, -4],\n [3, 3, 2, -3],\n [-3, 0, 4, -1],\n [1, 0, 3, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, 4, 2],\n [1, -1, 0, 2],\n [4, 0, 2, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
886
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-1, 3, 3, -3],\n [-1, 3, 0, 4],\n [-1, -3, -4, 4],\n [1, -2, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, 0, 0, -2],\n [0, -3, 3, 0],\n [0, 3, -3, 0],\n [-2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -3, 1, -2],\n [0, -2, 2, 2],\n [-1, 4, 4, 3],\n [-2, -4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4250
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, -3, -2],\n [3, 1, -3, 1],\n [-2, 3, -2, 0],\n [2, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-134
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, -3, 2],\n [-1, -2, 3, 1],\n [-2, 1, 4, 2],\n [3, -1, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
292
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-1, 0, 1, 0],\n [0, -1, -2, -1],\n [1, -2, -2, 2],\n [0, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -3, 3, -3],\n [-2, -3, 0, -2],\n [-2, 0, -3, -2],\n [4, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-580
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, -2, 0],\n [0, -3, 1, 0],\n [-2, 1, -4, 2],\n [0, 0, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
564
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 1, 3, -1],\n [-1, 4, 0, 1],\n [-3, -4, 0, -2],\n [-3, 4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
553
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, 3, 1],\n [4, 1, -1, 4],\n [-3, -1, -1, -3],\n [1, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
438
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -2, -2],\n [0, 2, 0, -3],\n [3, 2, -3, 2],\n [0, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
338
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, -4, -1],\n [4, 0, 3, 4],\n [4, -3, -3, -3],\n [-4, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3394
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, 1, 0],\n [-4, -2, -4, -4],\n [-1, 1, -4, 0],\n [-1, -4, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6571
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -3, 4],\n [2, -1, -4, -4],\n [-1, 3, -3, 4],\n [-4, -3, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1746
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-4, 4, -3, -2],\n [4, -2, -1, 0],\n [2, 1, 2, -2],\n [0, 4, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-37
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 0, 0],\n [1, -2, 0, 0],\n [0, 0, -4, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
282
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 0, -3],\n [-1, 4, 0, 4],\n [0, 0, 3, -2],\n [-3, 4, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-393
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, -2, -4],\n [0, -2, 0, -2],\n [-2, 0, -1, 0],\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"
}
] |
673
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, -2],\n [2, -2, 2, 0],\n [0, 2, 4, -3],\n [-2, 0, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1722
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-3, 0, 0, 2],\n [0, 1, 0, -2],\n [0, 0, 3, -2],\n [2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, 0, -4],\n [2, -2, 0, -1],\n [0, 0, 1, 0],\n [-4, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
151
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -4, 4],\n [-4, 4, -2, -1],\n [2, 0, -1, 2],\n [0, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
952
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 1, 3],\n [0, 0, 2, 2],\n [1, 2, -1, -3],\n [3, 2, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7039
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 0],\n [-2, 0, 0, 2],\n [2, 0, -4, 0],\n [0, 2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1485
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -4, 4, 3],\n [1, -4, -2, -4],\n [-2, 1, -2, -3],\n [1, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
879
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, 2, -2],\n [4, 3, -2, -2],\n [4, 2, -2, 3],\n [0, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 3],\n [0, -3, -4, 0],\n [2, -4, 1, -2],\n [3, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -4, -4, 4],\n [0, 3, 4, -2],\n [-2, 1, -4, 2],\n [3, -3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15768
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, -2, 1],\n [-2, 1, 0, -4],\n [-2, 0, 2, -2],\n [1, -4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-67
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -2, 3],\n [-4, 2, -4, -3],\n [3, 3, 1, -1],\n [4, 1, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
799
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -2, -2],\n [-2, 1, -2, 0],\n [-2, -2, 4, -2],\n [-2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
665
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -4, 0, 3],\n [-2, -3, -1, 4],\n [-2, -2, -1, 0],\n [2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2938
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, -2, 1],\n [-2, -1, 0, 2],\n [-2, 0, -2, 3],\n [1, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-59
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -4, 4],\n [3, -2, 2, 4],\n [-1, 3, -2, -3],\n [-3, -4, 4, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1580
|
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, -4, -2],\n [0, 4, 3, -3],\n [0, 1, -4, -3],\n [4, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9005
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, 0],\n [0, -2, -2, 0],\n [-1, -2, -3, 0],\n [0, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1880
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, -2, 0, -2],\n [-2, -4, -1, 0],\n [0, -1, -2, -1],\n [-2, 0, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 0, 0],\n [-2, 4, -4, -1],\n [0, -4, -4, 0],\n [0, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-529
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 4, 2],\n [1, 2, -4, 3],\n [-1, -4, 0, 2],\n [0, -1, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
895
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[4, 2, -2, -3],\n [4, -1, 3, -2],\n [1, -4, -4, -2],\n [1, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
143
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, 0, 2, -1],\n [0, 1, -2, 2],\n [2, -2, 4, -1],\n [-1, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -3, -4],\n [-1, 4, -1, 1],\n [-1, 1, -1, -3],\n [0, -2, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2588
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[3, 0, -2, 2],\n [0, 0, -1, -2],\n [-2, -1, 0, -3],\n [2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-37
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-4, 2, 0, 3],\n [0, 0, 2, 1],\n [1, -1, 2, 3],\n [-4, 0, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-124
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[4, 2, 4, -3],\n [2, -3, 0, 0],\n [4, 0, -3, -4],\n [-3, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1008
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, -4, -3],\n [-4, 3, -4, -1],\n [-4, 1, -4, 0],\n [-1, 4, -1, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, -3],\n [0, -4, -2, -2],\n [0, -2, -3, 2],\n [-3, -2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7482
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, -4, -1],\n [-2, 0, -4, -2],\n [-4, -3, 1, 1],\n [-1, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5309
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, 0, -1],\n [-3, -2, -2, 0],\n [0, -2, 1, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
579
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 4, 1],\n [-2, -3, -4, -4],\n [-2, 4, -2, 4],\n [2, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2403
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, 1, 1],\n [3, 4, 4, -2],\n [-1, -3, 3, 1],\n [0, -2, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2812
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, -1, -2],\n [2, 0, 1, 0],\n [3, -1, 2, -1],\n [-3, 1, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1496
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, -3, 0],\n [0, 1, -3, 4],\n [2, -1, -2, 0],\n [3, 0, 0, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
364
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, -3, 3],\n [-1, 2, 1, 2],\n [2, 3, -2, 0],\n [1, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
644
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, -3],\n [0, 0, -3, 0],\n [-1, 2, 1, 1],\n [-2, -3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1759
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[0, 0, -2, 0],\n [0, -4, -2, 0],\n [-2, -2, -4, 2],\n [0, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-670
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, -2, 1, 0],\n [0, 1, -2, -3],\n [0, 0, -3, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-74
|
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, 3, 3],\n [4, 0, 0, -4],\n [-3, 3, -4, 1],\n [1, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15658
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[0, 0, 0, -2],\n [0, 4, -1, 0],\n [0, -1, 4, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-272
|
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, 4, 0],\n [1, -3, -2, 3],\n [-4, 2, 1, 3],\n [2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
812
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, 4],\n [0, 2, 2, 0],\n [-1, 2, 1, 2],\n [4, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2400
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[4, 0, -2, -3],\n [0, 2, 0, 1],\n [-2, 0, 4, 1],\n [-3, 1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
588
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -4, 3],\n [3, -2, 3, 0],\n [0, -3, 1, 2],\n [-4, 4, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
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, -2],\n [2, 3, -1, 0],\n [-2, -1, 4, 4],\n [-2, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24622
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, -2, 0],\n [0, 3, -4, 1],\n [-2, -4, -1, 3],\n [0, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1064
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, 4, -3],\n [3, -3, -3, -2],\n [0, 1, 1, 3],\n [-4, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-45
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 3, -2, 4],\n [-1, -2, -2, 4],\n [4, 4, 0, 4],\n [1, 2, -1, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 4, 2, 0],\n [4, 1, -1, 1],\n [2, -1, -3, 1],\n [0, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4059
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, -1, -4],\n [4, 4, -1, 0],\n [4, -3, -4, -4],\n [1, 1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1212
|
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, 3],\n [4, 0, 0, -1],\n [4, 1, 1, -2],\n [-4, -1, -4, 1]]\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[[4, -2, 4, 1],\n [-3, -1, -1, -1],\n [-3, -2, 2, -2],\n [-1, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
226
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, 4, 0],\n [-1, 1, 1, 1],\n [-1, -2, 0, 3],\n [0, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
384
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[0, -3, 2, -2],\n [-3, 4, 2, 0],\n [2, 2, 1, 0],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 0, -2],\n [2, -3, 4, -2],\n [0, 4, 3, 0],\n [-2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
328
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, 3, -2],\n [1, 1, 0, 1],\n [3, 0, -3, -2],\n [-2, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1318
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[0, 2, 2, -2],\n [1, -3, -4, -1],\n [3, 4, 1, 3],\n [3, -4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
206
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, -2, 2],\n [-4, -4, 1, -1],\n [0, 2, 4, 1],\n [4, -3, 4, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
664
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 1, 1, 2],\n [1, 0, 0, -1],\n [1, 0, 1, -2],\n [2, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 4, 3, 1],\n [0, -2, 4, 3],\n [1, 0, 1, 3],\n [-3, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[0, 0, 2, -4],\n [0, -1, -2, 0],\n [2, -2, -1, -4],\n [-4, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 2, -3],\n [-3, -1, -1, 1],\n [3, -4, 0, 0],\n [4, -3, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1228
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, -2, 2],\n [0, 0, -1, 1],\n [0, 3, -3, 1],\n [1, 1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
515
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0, -4],\n [2, -2, -1, 0],\n [0, -1, -4, 0],\n [-4, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1147
|
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, 0, 0],\n [0, 1, 0, 3],\n [0, 0, -1, 2],\n [0, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
375
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, -1, -4],\n [-4, 0, -4, 3],\n [-2, -3, 0, 3],\n [-3, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1237
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-2, 1, 3, 4],\n [-2, 4, -4, -2],\n [0, 1, -2, -3],\n [4, -4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
252
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, -3, 0],\n [2, -1, 2, 4],\n [-3, 2, -4, 2],\n [0, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5543
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[3, -1, 4, -4],\n [-3, -1, -2, -3],\n [-4, 4, -2, 4],\n [3, 4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
219
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, -4],\n [0, -4, -2, 0],\n [0, -2, -3, 0],\n [-4, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-426
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[2, 3, 1, 3],\n [0, 4, 0, -4],\n [1, -1, -2, -3],\n [0, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, 4, -1],\n [1, -4, -2, 0],\n [4, -2, -1, 0],\n [-1, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
887
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 1, -2],\n [0, 0, -2, 0],\n [4, -1, -4, 0],\n [3, -1, 4, -1]], determine the value at position (1, 2).\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 absolute values of all entries of the result:\nA =\n[[1, 2, 4, -2],\n [-3, -3, 1, 0],\n [1, 0, 0, 2],\n [2, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
194
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -1, 3],\n [0, -3, 0, 0],\n [-1, 0, -4, -2],\n [3, 0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-231
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -1, -1],\n [-2, -2, -2, 2],\n [1, 2, 0, 3],\n [-1, -2, 3, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.