messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, -1, 0],\n [0, 0, -1, 2],\n [-1, -1, 4, -2],\n [0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -1, -1],\n [0, 4, -2, 2],\n [-1, -2, -3, -2],\n [-1, 2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3181
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[0, -4, -2, -3],\n [-4, 0, 1, 0],\n [-1, 4, -3, 0],\n [-4, 1, -3, -4]]\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 all entries of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -4, -4, 2],\n [-2, -4, 1, 2],\n [0, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-324
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[2, 0, 0, 2],\n [0, -3, 0, 1],\n [0, 0, -4, -2],\n [2, 1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
300
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, -3, -2],\n [1, -3, -2, 2],\n [-3, -2, 4, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
838
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, 1, -4],\n [-2, 3, 4, -1],\n [1, 3, -2, -4],\n [0, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
463
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-4, -2, 2, 0],\n [-2, 0, 1, -3],\n [2, 1, -1, 2],\n [0, -3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-414
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -4, -2],\n [0, 1, 3, -2],\n [-4, 3, 3, 0],\n [-2, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
112
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 2, 0, 1],\n [2, -4, -2, -2],\n [0, -2, -3, 1],\n [1, -2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5933
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, 1, -4],\n [-2, 1, 2, -1],\n [1, 2, 1, 0],\n [-4, -1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
605
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 3, 2],\n [1, 1, 1, -3],\n [3, 1, 3, 0],\n [2, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6924
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, -2, 1],\n [-3, 4, -2, -1],\n [-2, 0, 2, 0],\n [1, -4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
152
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, 0, 2, 2],\n [4, 0, -1, -3],\n [0, 1, 3, 4],\n [0, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
105
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, -2, -1],\n [-2, 3, -3, 2],\n [-2, -3, -2, -4],\n [-1, 2, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-318
|
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, -3, -1],\n [4, 1, 2, 3],\n [1, 4, 2, 1],\n [-4, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2036
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, -3, -3],\n [-4, 3, -2, 2],\n [4, 0, -2, 3],\n [-1, 1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
160
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 0, 2],\n [2, 4, 0, 2],\n [0, 0, -2, 0],\n [2, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6586
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -2, 2],\n [0, -3, 3, -2],\n [-2, 3, -2, 2],\n [2, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1567
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[4, 3, 2, 2],\n [3, 4, -3, 1],\n [-3, -1, 0, 0],\n [1, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-97
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -4, -3],\n [1, -4, 3, 3],\n [4, 3, -3, -4],\n [0, 4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 1, -2],\n [-2, -1, -2, 2],\n [1, -2, 2, 0],\n [-2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
413
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -4, -4, 4],\n [0, -1, 4, 0],\n [0, 0, 1, 4],\n [-1, -1, -2, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, -4, -2],\n [0, -3, -1, 0],\n [3, 1, 4, -1],\n [0, -4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-224
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 2, 0],\n [-2, 4, 4, 0],\n [2, 4, 2, 0],\n [0, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6330
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 0, 0],\n [2, 2, 0, 0],\n [0, 0, 1, -1],\n [0, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[4, -3, -2, 1],\n [0, 0, -1, -3],\n [-2, -2, 2, 2],\n [4, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-148
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, -3, 3],\n [-1, -2, 2, -2],\n [-3, 2, -2, 0],\n [3, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-220
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 0],\n [-2, -3, 0, -1],\n [2, 0, -2, 2],\n [0, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
565
|
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 [4, -2, 1, -4],\n [2, 2, -4, -4],\n [2, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
651
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -3, -3, -2],\n [-1, -2, -2, 1],\n [0, -1, -1, 3],\n [0, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
696
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, 1],\n [2, 2, 2, 1],\n [0, 2, 4, 2],\n [1, 1, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6324
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 1, 4],\n [1, 3, 3, 1],\n [1, -4, 2, 2],\n [1, -1, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -1, -4],\n [1, -4, 2, -2],\n [-1, 4, -1, -3],\n [1, 4, 2, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
782
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, -4, 0, 1],\n [-3, 1, 0, 2],\n [-4, -1, 2, -2],\n [-2, -1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-207
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, 3, -3],\n [-4, 2, 2, 1],\n [3, 1, -1, 0],\n [4, 4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
468
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 2, 4],\n [0, 4, 2, 0],\n [2, 2, -4, 2],\n [4, 0, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6237
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 2, 1],\n [3, 3, -2, -4],\n [2, -2, 3, 1],\n [1, -4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-62
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[3, 2, 3, 3],\n [2, -1, 2, 2],\n [3, 2, 2, 4],\n [3, 2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
158
|
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, 0, 0, -1],\n [2, 0, 2, 0],\n [-4, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
349
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, -4, 3],\n [2, 4, 4, 0],\n [2, 4, 0, 3],\n [2, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7301
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, -3, -2],\n [1, 3, 2, 0],\n [-3, 2, 1, -4],\n [-2, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8833
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, -2, -2],\n [-2, 3, 4, 2],\n [-2, 4, 1, 0],\n [-2, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4799
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, 0, 0],\n [1, 3, 0, 3],\n [0, 0, -1, 1],\n [0, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4890
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 4, 4],\n [4, -4, -1, 0],\n [-1, 0, 2, 0],\n [0, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2218
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 0, -2],\n [-2, 1, 3, 2],\n [0, 3, -1, 2],\n [-2, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1208
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, 0, -3],\n [-2, 4, -2, 4],\n [4, 1, 1, 0],\n [2, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
179
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -4, -4],\n [-2, -1, -2, 1],\n [-2, -2, -3, 0],\n [-2, 4, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7131
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 3, 0],\n [2, 0, -2, 0],\n [4, -3, 4, 3],\n [-1, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
217
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, 2, 1],\n [-1, 3, -4, -1],\n [0, -1, -2, 0],\n [-2, -2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
600
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 2, -4, -4],\n [-3, 0, -1, -4],\n [4, -4, 0, 4],\n [3, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
873
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -1, 1],\n [0, 4, 4, 2],\n [2, 2, 1, -4],\n [-4, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
975
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, -3],\n [2, 3, -2, -3],\n [-3, -1, 0, 1],\n [-4, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-154
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, 4, -1],\n [-1, -4, 3, -1],\n [-1, -3, 4, -2],\n [4, 3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-180
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 4, -2],\n [1, 2, 0, 0],\n [4, 0, -4, -2],\n [-2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, -4, 1, -2],\n [-3, -4, 2, -1],\n [-4, -2, 0, -3],\n [-3, 4, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1020
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 2, 4],\n [2, 3, 2, 0],\n [2, 2, 3, 1],\n [4, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2133
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, 0, -2],\n [-1, -1, -2, 1],\n [0, -3, 1, -3],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2268
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, -2],\n [0, -3, 2, 2],\n [-2, 2, -1, 1],\n [-2, 2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-118
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, 3, 2],\n [-2, -3, 2, 0],\n [3, 2, -1, 1],\n [2, 0, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
852
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, -2, 1, 2],\n [3, 1, 0, 3],\n [-1, 3, -3, 0],\n [-2, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-19
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, -2, 2],\n [-1, 0, 4, -3],\n [-2, 4, 1, -1],\n [2, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
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, 1],\n [3, 0, -1, 3],\n [-1, -3, 0, 4],\n [2, 3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1460
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-4, 4, 3, -3],\n [-2, 3, 4, -3],\n [-1, 4, 0, -3],\n [-4, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 0, -1],\n [-4, -1, 0, -1],\n [1, 0, -1, 3],\n [0, 4, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
283
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, -3, 2],\n [0, 4, -1, 1],\n [-3, -4, -1, 4],\n [-3, -4, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1064
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -4, -3, 0],\n [2, 2, 4, -4],\n [-1, 2, 3, -2],\n [-3, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
874
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[3, -4, 3, 1],\n [-4, -1, 0, -3],\n [3, 0, -2, 0],\n [1, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -1, -3],\n [-1, -3, -1, 0],\n [2, 1, -2, -1],\n [3, 2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1, 2],\n [-2, 0, 3, 2],\n [-1, 3, 0, -2],\n [2, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
180
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, -3],\n [0, 4, 0, -2],\n [0, 0, 1, 4],\n [-3, -2, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7846
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -2, 2],\n [0, 2, -1, -2],\n [-2, -1, 3, -2],\n [2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
498
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 1, 4, 1],\n [4, 3, -1, 1],\n [0, -1, -2, 3],\n [1, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-173
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 3, 0],\n [0, 2, 0, 0],\n [3, 0, 4, 1],\n [0, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3205
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, -3, -3],\n [4, 3, -2, 3],\n [-3, 1, -3, -3],\n [4, 0, -1, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-110
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 0, 0],\n [3, 4, 0, -3],\n [0, 0, 4, -2],\n [0, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2092
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 4, 2],\n [-2, 3, 0, -1],\n [4, 0, -3, -2],\n [2, -1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
164
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, -2, 3],\n [2, 2, 2, 0],\n [-2, 2, -2, 0],\n [3, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1002
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, 0, -4],\n [3, -2, 2, 4],\n [-1, 4, -1, -2],\n [1, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
541
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -2, 2],\n [0, -3, 0, 1],\n [-2, 0, -1, -2],\n [2, 1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
534
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 2, 1],\n [-2, -1, -4, 1],\n [2, -4, -2, 2],\n [1, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1702
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 0, -2],\n [2, -4, 0, -1],\n [0, 0, -1, 2],\n [-2, -1, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
413
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, -3, 0, 2],\n [-3, -1, -4, -2],\n [0, -4, 0, 0],\n [2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 2, -2],\n [0, 3, 2, -2],\n [2, 2, 4, 0],\n [-2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 4, 3, 4],\n [-1, 1, -1, 2],\n [3, -2, -1, -3],\n [0, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2739
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-4, -2, 3, 1],\n [3, -1, -4, 1],\n [-3, -2, -3, 2],\n [-3, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-414
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, -2],\n [1, 2, 0, -3],\n [0, -4, 2, -3],\n [3, -4, -3, 4]], determine the sum of absolute values of all entries.\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 all entries of the result:\nA =\n[[-1, 0, 0, 2],\n [0, 3, -2, 2],\n [0, -2, 4, -1],\n [2, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
138
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[0, -2, 0, 0],\n [-2, -3, 2, 2],\n [0, 2, 2, 2],\n [0, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-116
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -4, 3, 4],\n [3, 4, 1, -3],\n [-1, -2, 2, 1],\n [-1, 4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
456
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 4, 0],\n [2, -4, 4, 0],\n [4, 4, 4, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17394
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[4, -3, 2, 0],\n [1, 3, -3, -1],\n [4, -2, 0, -1],\n [1, 4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, 2, 0],\n [-2, 2, 2, 2],\n [2, 2, -2, 0],\n [0, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
152
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, -2, -1],\n [1, -2, 3, -3],\n [-4, 3, -2, 3],\n [-4, 3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1143
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, -4, -1],\n [2, -4, -4, -2],\n [4, 2, -2, -3],\n [3, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7445
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 1, -1],\n [0, -4, 0, -3],\n [1, 0, 2, 0],\n [-1, -3, 0, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-15
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, 4, 2, 1],\n [-4, 2, -3, -4],\n [4, -1, 0, 4],\n [-4, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
124
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, -2, 3],\n [-4, -4, 0, 3],\n [-3, 4, 3, -1],\n [-4, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4666
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, 0],\n [-2, -4, 2, -2],\n [0, 2, 2, 1],\n [0, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1312
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, 1, -2],\n [1, 1, -2, 0],\n [1, -2, -1, -1],\n [-2, 0, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
75
|
MATH
|
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