messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, 0],\n [0, -2, 0, 0],\n [0, 0, -4, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
737
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 1, 1, -2],\n [1, -2, 2, 4],\n [1, 2, 4, 1],\n [-2, 4, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 0],\n [-2, 1, 0, -1],\n [0, 0, 2, 2],\n [0, -1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
393
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 0, -2],\n [-2, 2, 0, 0],\n [0, 0, 4, 1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 3, 2],\n [0, 4, 2, 1],\n [-2, 1, -1, 4],\n [-3, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1171
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, -2, 0],\n [1, -3, 0, 0],\n [-2, 0, -3, -4],\n [0, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-179
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 2],\n [0, 3, -1, -4],\n [0, -1, 2, -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"
}
] |
4320
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, 0, -1],\n [1, -2, 1, 2],\n [0, 1, -3, -2],\n [-1, 2, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, 2, 3, 1],\n [4, 3, -4, -4],\n [1, 4, -2, 4],\n [4, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 2, 2],\n [0, 4, -4, -2],\n [2, -4, 4, -2],\n [2, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17397
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, -2, 0],\n [1, 2, 2, -3],\n [-2, 2, 1, 3],\n [0, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
907
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-4, 0, 0, -1],\n [-2, 2, 4, 1],\n [-4, 0, 0, 0],\n [0, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, 1, 0, 3],\n [3, 2, -3, -2],\n [0, 4, -4, 2],\n [-1, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[0, -1, 2, -4],\n [-3, -1, 1, -4],\n [4, -1, 3, -3],\n [-3, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 3, 0, 0],\n [3, 3, 3, 0],\n [0, 3, 4, -2],\n [0, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4791
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, -1, 2],\n [-2, 2, 0, -2],\n [-1, 0, -1, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
279
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, 0, -3],\n [-1, 2, 3, -4],\n [0, -3, 3, 1],\n [-1, 3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
581
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 0, 0, 3],\n [0, 3, -2, -2],\n [0, -2, 3, 2],\n [3, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, -3, 1],\n [0, 3, 2, -1],\n [-3, 2, -2, 0],\n [1, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -3, 4, 4],\n [-4, -2, -3, 4],\n [-2, -4, -3, 4],\n [3, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
139
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -3, -2, -2],\n [4, 4, 0, -3],\n [-4, 0, -2, 3],\n [0, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-184
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 3, -3],\n [2, -2, 4, -3],\n [4, -2, 2, 0],\n [3, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1300
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, 0, 3],\n [-2, -4, 0, 0],\n [0, 0, 2, -1],\n [3, 0, -1, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 1, -4],\n [-2, 0, -1, 1],\n [-2, -1, 3, -3],\n [4, -3, 1, 0]], determine the sum of all entries.\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 absolute values of all entries of the result:\nA =\n[[2, 1, -2, -2],\n [3, 2, -4, 2],\n [4, -4, 2, 2],\n [4, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5901
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, 2, 2, 0],\n [2, 0, 0, 4],\n [2, 0, 3, -4],\n [0, 4, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1424
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -2],\n [2, -1, -1, 4],\n [0, -1, 1, 0],\n [-2, 4, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1396
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 4, -2, 1],\n [4, 2, 0, 2],\n [-2, 0, 0, 2],\n [1, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
840
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, -4, 2],\n [1, 3, -4, -1],\n [-1, -1, 4, 1],\n [-4, 1, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
744
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 0, -2],\n [0, 3, 0, 0],\n [0, 0, 1, 2],\n [-2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
323
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -3, -3],\n [4, -4, -3, 3],\n [4, -3, -2, -2],\n [0, 4, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8370
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, -2, 0],\n [-2, -1, 0, 2],\n [-2, 0, -4, 1],\n [0, 2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2867
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, -4, 2],\n [3, -3, -4, 2],\n [0, 1, 3, -1],\n [0, 3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1264
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -1, -1],\n [0, 1, 0, 3],\n [-1, 0, -2, -2],\n [-1, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
608
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 2, -1],\n [3, -1, 3, 1],\n [2, 3, -4, 2],\n [-1, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5381
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[4, 2, 0, -2],\n [2, 3, -2, 2],\n [0, -2, 3, -2],\n [-2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
95
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 2, -4],\n [-2, -4, -1, 2],\n [2, -1, 2, -2],\n [-4, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, -3, 0, -4],\n [-1, 0, 2, 3],\n [3, 4, 2, 0],\n [1, -4, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, -3, -4, -2],\n [4, 4, 0, -2],\n [-2, -3, -3, -3],\n [-2, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, -1, -2],\n [1, -3, 0, 2],\n [-1, 0, -1, 4],\n [-2, 2, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, 3, -2],\n [0, -4, -4, 3],\n [-3, -4, -3, -3],\n [0, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9295
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 2, -2],\n [-2, 3, 2, -1],\n [2, 2, -2, 0],\n [-2, -1, 0, -2]], determine the value at position (2, 3).\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^3 where A is:\n[[-2, -2, 2, 0],\n [-2, 0, -2, 2],\n [2, -2, 1, -1],\n [0, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
538
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[3, -4, -1, 0],\n [-4, -3, 0, -2],\n [-1, 0, -2, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
79
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, 0, 4],\n [0, 3, 0, 1],\n [-3, -4, -2, 0],\n [4, -2, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8310
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -4, 2, -2],\n [0, -1, -4, 1],\n [3, 2, 0, 4],\n [2, -2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8158
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, 0, -2],\n [1, -1, 0, 1],\n [0, 0, 0, 0],\n [-2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
57
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, 4, -2],\n [1, 2, -2, 0],\n [4, -2, 2, -4],\n [-2, 0, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1922
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, 1, 1, 2],\n [-1, -1, -1, 0],\n [1, 1, 0, 2],\n [-2, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
282
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, -3, 4],\n [4, -3, 3, 3],\n [-4, -4, 4, 3],\n [-3, -1, -2, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, -2],\n [0, -1, 0, 4],\n [2, 0, 0, 1],\n [-2, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3699
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -3, 0],\n [0, -4, -4, -1],\n [-3, -4, 1, 0],\n [0, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1070
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 1, -3],\n [0, -3, 0, 0],\n [1, 0, 2, 0],\n [-3, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6117
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, 2, -2],\n [4, -2, -2, -2],\n [-3, 1, -2, 1],\n [-2, 4, -4, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-2, 4, 2, 1],\n [4, 3, 2, 0],\n [2, 2, 0, -2],\n [1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-3, -4, 4, -3],\n [3, 4, 0, 4],\n [-3, 4, -4, -4],\n [-1, -3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-896
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -1, 0],\n [4, 1, -3, 2],\n [3, 2, 2, -2],\n [-2, -1, -1, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
71
|
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, -2],\n [-3, 1, -4, 4],\n [-1, 0, -2, 4],\n [3, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
436
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, 1, 1],\n [-4, 2, -4, 4],\n [3, 4, 3, 2],\n [-3, -2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1248
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, 1],\n [-2, -3, 0, 0],\n [0, 0, 4, 2],\n [1, 0, 2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 0, 0],\n [-2, 4, 0, 1],\n [0, 0, 4, -1],\n [0, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
465
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-4, -2, -3, -1],\n [0, 3, 0, 3],\n [-4, -4, -4, 2],\n [-1, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[4, 0, 0, 3],\n [0, -1, 2, -1],\n [0, 2, 0, 3],\n [3, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, 1, -1, -1],\n [3, 0, 3, 3],\n [3, 1, -1, 1],\n [-3, -2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[4, -1, 0, 1],\n [4, -2, -2, 4],\n [1, 4, 0, -3],\n [4, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-608
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 2, -2],\n [-2, -1, -2, 4],\n [1, 3, 3, -4],\n [1, 4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1577
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 0, 0],\n [4, -1, 0, -3],\n [0, 3, 2, -2],\n [3, -3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
55
|
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, 0, 0],\n [0, 2, -2, -2],\n [0, -2, 2, 3],\n [0, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3522
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, 2, 4],\n [1, 1, 0, -3],\n [2, 0, 3, -2],\n [4, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1159
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 3, -1],\n [-2, -2, -2, 2],\n [3, -2, -4, -1],\n [-1, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1192
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, 3],\n [0, 2, -2, -2],\n [2, -2, -1, 2],\n [3, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
83
|
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, 1, -4],\n [3, 1, 0, -1],\n [3, -2, 0, 2],\n [-4, -2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6374
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, -2, -4],\n [-3, 4, 0, 4],\n [2, 2, -4, -3],\n [4, 0, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2334
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 3, -3],\n [-4, 3, 1, 4],\n [-1, 0, 0, 2],\n [-1, -2, 1, -3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 0],\n [-2, -4, -1, 0],\n [0, -1, -2, -2],\n [0, 0, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3962
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, 0, -2],\n [2, -1, -2, -3],\n [0, -2, -1, 0],\n [-2, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
495
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[1, -3, 0, -2],\n [0, 4, 3, 1],\n [-2, 3, 2, -4],\n [-4, 1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-519
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, 1, -1],\n [-3, 0, 3, -2],\n [-4, 1, -2, 3],\n [-1, 3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-110
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 4, 1],\n [0, -1, -3, 3],\n [-1, 3, 2, 4],\n [0, -1, 2, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[2, 2, 2, 1],\n [2, 0, -4, 4],\n [2, -4, 2, 0],\n [1, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, -3, -2],\n [-4, 2, -3, 0],\n [-4, -4, -1, 0],\n [0, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
622
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -3, -3],\n [4, -3, -3, -4],\n [2, 2, -1, -3],\n [0, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3207
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, -1, -1],\n [-4, -2, 3, -3],\n [4, 3, -3, 0],\n [2, 3, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3863
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 3, 2],\n [2, -3, -1, 2],\n [1, -4, 2, 1],\n [-4, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
276
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -3, 2],\n [2, -2, -2, -3],\n [-3, -2, 0, -2],\n [2, -3, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3948
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-3, -2, 4, 0],\n [4, 3, -1, 0],\n [2, 1, -3, 0],\n [-1, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 3, 3],\n [-1, 0, 4, -2],\n [3, 4, -4, -2],\n [3, -2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17276
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, -2, 1],\n [-1, 1, 0, -2],\n [-2, 0, 0, 2],\n [1, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3006
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 4, -1, 2],\n [-3, 2, -4, -2],\n [1, -3, 4, 2],\n [3, -4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6454
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, 1, 1, -4],\n [-1, -2, 1, -4],\n [-3, 0, 1, 1],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, 2],\n [0, 3, -2, 0],\n [2, -2, 3, 0],\n [2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
629
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, -1, 4],\n [-2, -2, 4, 1],\n [0, 1, 1, 1],\n [-2, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1420
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 2, -1],\n [2, -1, 2, -2],\n [2, 2, 0, -2],\n [-1, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1466
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-2, 0, -2, 0],\n [0, 1, 1, 4],\n [-2, 1, 4, -2],\n [0, 4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
650
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-2, 2, 1, 0],\n [2, -2, 0, -2],\n [1, 0, -2, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
197
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 2, -1],\n [-2, -2, 2, -4],\n [3, 0, -4, 0],\n [1, 4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7233
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 1, 4],\n [-3, -1, -1, 0],\n [4, -1, 1, 4],\n [-1, 2, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6837
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 4, -1, 0],\n [4, -3, -2, 4],\n [-1, -1, -3, 4],\n [-4, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1076
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[2, 2, 1, 1],\n [1, 3, -2, -1],\n [3, -1, 2, -2],\n [-2, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -3, 0],\n [-2, -4, -3, -2],\n [-3, -3, -1, 2],\n [0, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1375
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.