messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 4, 2],\n [3, -2, 3, -2],\n [-3, 4, 3, -3],\n [4, 4, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3687
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 0, 4],\n [-1, 2, 1, 2],\n [0, 1, 0, 2],\n [4, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3081
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[4, -2, -4, 4],\n [-2, 3, 3, -1],\n [3, -2, -1, 1],\n [4, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-70
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, 2, -2, 2],\n [2, 2, -2, 0],\n [-2, -2, -3, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 1, -1],\n [-3, 0, 4, -1],\n [0, 0, -1, -3],\n [4, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2296
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, 2, -1, -2],\n [2, -4, -2, 0],\n [-1, -2, 0, -1],\n [-2, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-234
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, 2, 0],\n [2, 4, 2, 2],\n [2, 2, 1, 2],\n [0, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9886
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 4, -1],\n [4, 2, 4, -3],\n [-1, 3, -4, -4],\n [4, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4386
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, -2, 2],\n [2, 1, 0, 0],\n [1, -3, -4, 0],\n [2, 4, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
648
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 2, 2],\n [-2, -2, 1, 2],\n [2, 1, -2, 3],\n [2, 2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1128
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, 2, -1, -4],\n [4, 0, -2, 4],\n [-4, -1, -3, 1],\n [-3, -4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
495
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, 0, 4],\n [3, -1, 0, -2],\n [0, 0, -2, 1],\n [4, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1186
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, -2, 3, 0],\n [-2, 2, 0, -2],\n [3, 0, 1, 1],\n [0, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-334
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[3, 0, 4, 2],\n [0, -3, -2, -2],\n [4, -2, -1, -2],\n [2, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -1, 0, 1],\n [-3, 1, -1, 3],\n [-2, 1, 0, -3],\n [3, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
508
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -2, -4],\n [1, -2, 3, -1],\n [-1, -3, -1, -2],\n [-4, 4, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
745
|
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, 4, 0],\n [-1, 4, 3, 1],\n [-2, 4, -3, 1],\n [0, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
959
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, -4, -3, -2],\n [-2, -3, -1, 2],\n [0, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3526
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-1, 1, 1, -2],\n [1, 1, -1, 1],\n [1, -1, 4, 1],\n [-2, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
371
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, 0, 2],\n [0, -3, 3, -1],\n [4, -1, 0, 2],\n [0, -2, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-2, 2, -3, -2],\n [-4, 3, 3, 0],\n [-1, 2, -2, -3],\n [1, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 3, 2, 3],\n [4, 2, 3, -3],\n [1, -1, 0, -2],\n [-3, 1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7710
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[1, -1, -3, -2],\n [-1, 1, 0, 3],\n [-1, 1, 0, 2],\n [-2, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-61
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[4, 4, 0, 4],\n [4, -1, 0, 0],\n [0, 0, 2, 0],\n [4, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 1, 0],\n [2, 1, 2, -2],\n [1, 2, 2, -4],\n [0, -2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2007
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 4, -2],\n [-1, -3, 0, -1],\n [-4, 0, 3, -1],\n [4, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
89
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 1, -2],\n [-1, 0, 1, 3],\n [-4, 0, 4, -1],\n [-4, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
196
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -1, -3, 3],\n [2, -2, 3, -4],\n [1, -4, -2, 1],\n [-2, 3, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1419
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, -2, -2],\n [0, 4, -2, 0],\n [-2, -2, -4, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11280
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 4, -2],\n [-2, 4, -3, -1],\n [4, -3, -2, -3],\n [-2, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-131
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 3, -4],\n [-1, -2, 2, -2],\n [-2, 4, 1, 4],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-1, 0, 0, 1],\n [0, -2, 0, 2],\n [0, 0, 4, -2],\n [1, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
616
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 1, 0],\n [4, 1, -2, 0],\n [1, -2, 3, 1],\n [0, 0, 1, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-162
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 1, -2],\n [-2, 1, 0, -2],\n [-3, -4, -1, 4],\n [-4, 0, 1, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 2, 0, 2],\n [2, -3, 2, -2],\n [0, 2, 0, 1],\n [2, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-111
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -4, 2, -1],\n [-4, 0, -1, -2],\n [2, -1, 3, -2],\n [-1, -2, -2, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, 0, 3],\n [0, -2, 1, 4],\n [1, 4, -1, 0],\n [-4, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1878
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 2, 2],\n [1, -1, 0, 2],\n [2, 0, -2, 0],\n [2, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 1, 2],\n [0, 2, -3, -2],\n [1, -3, 3, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
795
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, -4, 0],\n [4, -4, 1, 4],\n [-3, 0, 2, 1],\n [-2, -1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-360
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-3, 3, -2, 0],\n [-1, 1, 4, 0],\n [4, 3, -2, -4],\n [0, -3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, 2, 4, 2],\n [3, 1, 4, 2],\n [-4, 3, 3, -3],\n [4, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-119
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0, 0],\n [4, 4, -4, 4],\n [-3, -3, -2, 4],\n [3, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
173
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -1, -1],\n [0, -1, -2, 0],\n [-1, -2, 4, 0],\n [-1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-106
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, -1, 3],\n [1, -2, 0, -1],\n [-3, -3, 1, 1],\n [-2, -1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
282
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, 1, 0],\n [-1, -2, 3, -4],\n [1, 1, -4, 3],\n [-1, 3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
538
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 1, -1],\n [-3, -3, 3, 0],\n [-1, -1, 1, -4],\n [1, -3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 2, 0],\n [2, -3, -2, -4],\n [2, -2, -1, 0],\n [0, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1256
|
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, -3],\n [-2, 3, 0, 0],\n [0, 0, 0, 2],\n [-3, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
601
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 3, 2, -4],\n [2, -2, 4, 1],\n [-4, 0, -1, -1],\n [-1, -2, -1, 4]]\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 (2, 1) of the result:\nA =\n[[0, 1, -4, 4],\n [0, -4, -4, 0],\n [-2, -3, -2, -3],\n [2, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 2, 3],\n [-4, 0, -4, 3],\n [-4, -1, -4, -3],\n [-3, -4, -4, 0]], determine the value at position (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^4 where A is:\n[[-2, 3, -2, -1],\n [3, -2, 0, 2],\n [-2, 0, 0, 2],\n [-1, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3908
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -2, 3],\n [2, -3, -3, 0],\n [4, 4, -2, 4],\n [-3, 4, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, -2, 4],\n [0, 3, 4, 1],\n [-2, 4, -2, -2],\n [4, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1592
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -2, 0],\n [0, -4, 0, 0],\n [-2, 0, -4, -1],\n [0, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-287
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -2, -2],\n [-2, 0, -4, -1],\n [-1, -2, -1, 2],\n [3, -3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6534
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[1, 2, 4, -3],\n [-4, -1, -1, 1],\n [1, 1, 2, -4],\n [3, 3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
157
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[3, -4, 2, -2],\n [-3, -1, 1, -3],\n [1, 4, -3, 3],\n [-4, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1008
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 2, -1],\n [0, -4, -2, 0],\n [2, -2, 4, -2],\n [-1, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2730
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, -2, 0, 3],\n [-2, 2, -2, 0],\n [0, -2, 3, 1],\n [3, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 0, 2],\n [1, 4, -1, -4],\n [0, -1, 4, 1],\n [2, -4, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8629
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, 1, 0],\n [-1, -1, -2, 0],\n [1, -2, -1, -2],\n [0, 0, -2, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, -1, 2],\n [0, 2, 0, -2],\n [-1, 0, -1, 0],\n [2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
174
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[4, 2, 2, 2],\n [2, -3, 0, 4],\n [-1, -1, 1, 4],\n [-2, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, -3, -2],\n [-2, 1, -4, 3],\n [1, -1, 3, -3],\n [2, 4, 4, 4]], determine the value at position (3, 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[[3, 0, 0, 0],\n [0, -2, -1, 0],\n [0, -1, 0, -2],\n [0, 0, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
178
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -4, 0, -1],\n [-2, -4, -1, 0],\n [-4, 4, -4, -2],\n [4, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3020
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 4, -1],\n [3, 0, -2, 1],\n [-2, -1, 4, 1],\n [-2, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-599
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-2, -2, -4, -1],\n [-2, 4, 2, 2],\n [-4, 2, -3, 0],\n [-1, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -2, 0],\n [2, -1, 0, -2],\n [-2, 0, 0, -3],\n [0, -2, -3, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
331
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, -1, -4],\n [-4, -2, -3, -2],\n [-2, -2, -1, -3],\n [3, 2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8028
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-4, -1, -1, -4],\n [3, -4, 2, -1],\n [-1, -1, -3, -1],\n [1, 0, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -1, 0],\n [2, 1, 0, 0],\n [-1, 0, 2, 1],\n [0, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-4, 2, -3, 1],\n [-1, 2, 1, -3],\n [-4, 1, 2, 0],\n [1, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-39
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -1, 2],\n [4, -3, 0, -1],\n [-2, -4, 4, 4],\n [-2, -3, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
360
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -2, 0],\n [0, -4, -1, 0],\n [-2, -1, 2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1155
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 2, 0, 2],\n [2, 1, -1, -1],\n [0, -1, 4, 0],\n [2, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
85
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 3, 1, -1],\n [-3, -3, 1, 2],\n [3, 2, -4, -4],\n [-3, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2765
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[4, -1, -4, 3],\n [0, 0, -1, 1],\n [4, -2, 0, 2],\n [-2, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 0],\n [0, 3, 2, 0],\n [0, 2, -4, 0],\n [0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
259
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-2, 2, 3, 1],\n [-2, -1, 0, -2],\n [-3, -3, 3, -1],\n [1, 4, 0, -4]]\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, -1, -1, 4],\n [-1, -1, -4, -2],\n [-1, -4, 2, 2],\n [4, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
167
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, 3, 2],\n [-2, -3, 0, -1],\n [3, 0, -3, 0],\n [2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8685
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -4, 1],\n [0, -4, 1, 0],\n [-4, 1, -2, -2],\n [1, 0, -2, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
317
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 2, 3],\n [2, -2, -1, -3],\n [4, 3, -4, -3],\n [2, 4, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
324
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0, 0],\n [2, -3, -2, 2],\n [0, -2, 0, 0],\n [0, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
99
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, 1, 2],\n [1, 2, 0, -3],\n [3, -1, 4, -3],\n [-4, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
467
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, -1, 0],\n [1, -2, 1, -4],\n [1, -4, 4, -1],\n [-3, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-452
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 0, 2],\n [2, -2, 2, -2],\n [0, 2, -1, -2],\n [2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
170
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, 0, -2, 2],\n [0, 0, -3, -2],\n [-2, -3, -4, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 2],\n [0, -4, 1, 3],\n [-2, 1, 1, -2],\n [2, 3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1467
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[3, 2, 0, -2],\n [4, 3, -2, -3],\n [-1, 4, 1, 1],\n [-2, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, 1, 3, 1],\n [1, 3, 2, -3],\n [-4, 3, -4, 1],\n [0, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[1, 0, -2, 0],\n [0, -2, 2, 0],\n [-2, 2, 2, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, -2, 0, 0],\n [-2, -3, 2, 2],\n [0, 2, -2, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-2, 1, -4, -3],\n [-4, 0, 4, 1],\n [2, 0, 2, -4],\n [0, 3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[4, 1, -3, 0],\n [-4, -2, 3, -2],\n [-3, -2, 1, -2],\n [2, 4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
148
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 2, -1],\n [2, -2, 4, -1],\n [2, 4, 1, -2],\n [-1, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
328
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -2, 1],\n [-1, -3, 1, -2],\n [4, -3, 3, 3],\n [-2, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
683
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.