messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -2, 0],\n [0, 4, 1, 1],\n [0, -3, -2, 4],\n [2, -2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-228
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 4, -3],\n [-2, -4, -4, 3],\n [-3, 0, 4, -1],\n [0, -4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-276
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 0, -3],\n [3, 1, -2, -2],\n [-1, -1, 1, -3],\n [1, 1, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1185
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 0, 1],\n [-2, 0, 0, -3],\n [0, 0, 3, 0],\n [1, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
423
|
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, -3, 0],\n [2, -1, 0, 2],\n [-3, 0, -1, 2],\n [0, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1818
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -2, 1],\n [3, 0, -4, 4],\n [-2, 1, 3, 3],\n [3, 2, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4794
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, 4, 3],\n [3, -3, -1, 4],\n [-3, 0, -3, 3],\n [3, 3, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8842
|
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, 3, -2, 2],\n [-2, -2, 0, 1],\n [2, 2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
604
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, 4, 3],\n [1, -1, -1, 0],\n [3, -2, 1, 1],\n [2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3100
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, -2, 0],\n [0, 0, 2, 2],\n [-2, 2, 0, 2],\n [0, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0, -1],\n [1, 0, -4, -2],\n [-1, 3, -2, -3],\n [-1, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3250
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 1],\n [0, 4, 3, 2],\n [0, 3, 3, -1],\n [1, 2, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6039
|
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, -2],\n [-2, -3, -2, 2],\n [0, -2, 1, -2],\n [-2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
800
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -1, -1],\n [-2, -1, -1, -3],\n [3, -2, 2, -3],\n [4, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 2, 2],\n [0, 2, 0, 0],\n [2, 0, 3, 1],\n [2, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
296
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, 0, 0],\n [1, -4, -2, -2],\n [0, -2, -4, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6906
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -4, 4],\n [-2, 1, 2, -2],\n [-4, 2, -1, 0],\n [4, -2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-215
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, -4, 4],\n [1, 3, -4, 1],\n [0, 2, 0, -4],\n [2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3781
|
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, 2, 2],\n [-2, -4, -1, 0],\n [2, -1, 1, -2],\n [2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3886
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, -3, 2, 2],\n [-3, 1, 3, 0],\n [2, 3, 3, -2],\n [2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -1, 1, 1],\n [-1, -2, 2, 0],\n [1, 2, 3, -2],\n [1, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
296
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -1, -4],\n [-2, -2, 0, 0],\n [-1, 0, 1, 0],\n [-4, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13853
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, 2, 1, 0],\n [2, -1, 0, -2],\n [1, 0, 1, 2],\n [0, -2, 2, 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[[0, 1, -2, -4],\n [1, 0, 0, 3],\n [-2, 0, -1, -3],\n [-4, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-196
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 1, 2],\n [2, 3, 0, 2],\n [1, 0, 1, 2],\n [2, 2, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6486
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0, 1],\n [0, 0, 2, -1],\n [0, 2, -3, 0],\n [1, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
193
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[4, 0, 2, 2],\n [3, 4, -4, -2],\n [4, 1, -2, 3],\n [-1, 3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -4, 2],\n [-3, -3, -4, -2],\n [-2, -4, -4, 3],\n [2, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26220
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[4, -3, 3, -2],\n [3, 3, 2, 3],\n [-3, 4, -4, -3],\n [3, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, 4, 1],\n [1, -4, 1, 4],\n [2, 2, 2, -4],\n [-1, -2, -4, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-70
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -2, 2],\n [2, -4, -3, 0],\n [-2, -3, 2, -3],\n [2, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8806
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, 2, 3],\n [0, -1, -4, 4],\n [0, -4, -1, 4],\n [4, 2, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4065
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -3, -4, 2],\n [-3, 4, 0, 0],\n [-4, 0, -4, -1],\n [2, 0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8051
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -3, -4, 3],\n [0, 4, 4, 1],\n [1, -4, 4, -2],\n [1, 0, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1108
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[3, -4, -1, 3],\n [-4, 2, 3, 2],\n [-1, 2, 0, -4],\n [1, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-363
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, 0, -2],\n [1, 0, 1, 0],\n [0, 1, -1, 2],\n [-2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
517
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 2, 0],\n [0, -1, 4, -2],\n [2, 4, 4, -2],\n [0, -2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
527
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-1, -1, 1, 0],\n [1, -2, -2, 1],\n [-3, -1, -2, -2],\n [-3, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 0, -2],\n [2, -2, 0, 0],\n [0, 0, -3, 0],\n [-2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
254
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -3, -2, 4],\n [2, -3, -2, 3],\n [-4, -1, 2, 4],\n [3, 4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
88
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, -4, 4],\n [-3, 4, -3, -3],\n [3, 1, 0, 3],\n [2, -4, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4531
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 4, -2, 1],\n [4, -4, -2, -2],\n [-2, -2, -1, 2],\n [1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
164
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, 0, 0],\n [4, 1, 0, -3],\n [0, 0, 2, 2],\n [0, -3, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3912
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[1, -3, 4, 3],\n [-2, 3, 1, 3],\n [-2, -3, 4, 2],\n [-4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -4, -3],\n [-3, 4, 1, 4],\n [1, -2, 2, -3],\n [-3, -1, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4918
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -1, 0],\n [0, -2, 0, 2],\n [-1, 0, 3, 1],\n [0, 2, 1, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
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, -2, -2, 3],\n [0, -2, 4, 2],\n [-2, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1526
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-1, 0, 2, 2],\n [4, -2, 0, 2],\n [-4, 3, -4, 1],\n [0, 0, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
135
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, 4, 0, -3],\n [0, 0, 2, 2],\n [0, -3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
557
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 4, 0, -2],\n [4, 3, 2, -2],\n [0, 2, 4, 0],\n [-2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
354
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -2, 2],\n [-1, 1, -3, 1],\n [4, 3, 0, -4],\n [3, 4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
726
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, -2, 1],\n [1, 1, 3, 0],\n [-2, 3, 3, 0],\n [1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
459
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, -1, -2],\n [3, 2, 1, -4],\n [2, 4, 2, 1],\n [-1, 3, -1, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-675
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-4, -1, -2, 2],\n [-1, -2, 0, -4],\n [-2, 0, 3, 0],\n [2, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
733
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, -3, -4, -2],\n [3, -1, -1, -1],\n [1, 2, -4, -4],\n [-4, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-51
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 2, 3],\n [2, 0, -4, 3],\n [2, 1, -1, 4],\n [-1, 3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3293
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -3, 4],\n [2, 0, -2, 2],\n [3, -1, -3, -1],\n [0, -3, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-423
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 2, 0],\n [-4, -3, 0, -2],\n [2, 0, 2, -3],\n [0, -2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1277
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 2, 4],\n [1, -4, 1, -2],\n [2, 4, -2, -1],\n [-1, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3536
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 1, 4],\n [0, 3, 3, -1],\n [1, 0, 2, -2],\n [0, 1, -3, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
62
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, 1, 0],\n [-2, 2, 1, 2],\n [1, 1, -2, -2],\n [0, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3113
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, 0, 0, -1],\n [3, 0, 3, 4],\n [0, 3, -4, -2],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[1, -2, -3, 1],\n [-2, -1, -3, 0],\n [-3, -3, 0, 1],\n [1, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, 2, 4],\n [1, 1, -3, 4],\n [4, 0, 0, 2],\n [0, -4, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
771
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 2],\n [0, -2, 0, 4],\n [0, 0, -1, 2],\n [2, 4, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
555
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 2, -4],\n [-4, 1, 3, -1],\n [0, -1, -4, 3],\n [3, -3, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-65
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 1, 4, 0],\n [-4, 0, -3, -4],\n [0, -1, 4, 4],\n [1, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7502
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[0, -3, -2, -4],\n [-3, -3, 0, -2],\n [-2, 0, 3, 2],\n [-4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-95
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[4, 2, 0, 2],\n [2, -4, 0, -1],\n [0, 0, -1, 4],\n [2, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-55
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, -3, 0],\n [0, 4, 0, 3],\n [-3, 0, 2, 0],\n [0, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4060
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 2, -1, 4],\n [2, 4, 4, 3],\n [-2, -2, -1, -3],\n [0, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, -1, -2],\n [0, -4, -2, 0],\n [-1, -2, -1, -2],\n [-2, 0, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4872
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, -4, 3],\n [0, -2, 0, 0],\n [2, 3, -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"
}
] |
1228
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, 3, 2, 0],\n [0, 2, -4, -2],\n [0, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, 4, -3],\n [4, -3, -2, 3],\n [4, 2, -1, 2],\n [-3, -2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
606
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -4, -4],\n [4, 1, -1, 0],\n [1, 4, -2, -2],\n [3, 1, 4, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-77
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, 0, 0, 2],\n [0, 2, 2, -2],\n [0, 2, -1, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, -1, 4, -4],\n [2, -4, 0, -4],\n [-3, -4, 4, -2],\n [1, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, -4, 2],\n [3, 2, 4, 3],\n [3, 1, 0, 0],\n [-3, 2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2153
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -3, -1],\n [4, 2, -1, -1],\n [-4, 2, -4, 3],\n [-1, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1216
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 1, 0, 0],\n [1, 2, 1, 0],\n [0, 1, -2, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
581
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 2, 2],\n [0, -4, 1, -3],\n [2, 1, -2, 2],\n [2, -3, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7428
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, -1, 4],\n [2, -3, 2, -1],\n [3, 4, 1, 1],\n [4, 1, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
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, -2],\n [-2, 2, -4, -1],\n [-2, -2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
800
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -2, 2],\n [0, -2, 0, 0],\n [-2, 0, -3, 0],\n [2, 0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-69
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-2, 2, -1, -1],\n [2, 2, 0, 2],\n [-1, 0, 3, -2],\n [-1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
462
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-4, 3, -3, -2],\n [0, 2, 1, -4],\n [2, 4, 1, -3],\n [-3, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 2, -2],\n [-4, 4, 0, -3],\n [2, 0, 0, 2],\n [-2, -3, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-459
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, -2, -4],\n [-3, 4, 0, 2],\n [-2, -4, 0, 0],\n [-2, 0, 1, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-87
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 4, 0],\n [0, -3, 0, 0],\n [4, 0, -4, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-215
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, 0, 0],\n [-1, -3, -3, 0],\n [0, -3, 3, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-104
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 4, 2, 1],\n [4, 1, -3, -4],\n [1, 4, -1, 3],\n [-2, -2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
225
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, -3, 2, 2],\n [-3, 2, 0, -4],\n [2, 0, 3, 0],\n [2, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
47
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-3, -2, 4, 1],\n [-2, 2, -2, -2],\n [4, -2, 4, -4],\n [1, -2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -4, -4, -2],\n [-4, 3, 0, 3],\n [-4, 0, -2, -2],\n [-2, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1553
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 4, 3],\n [-2, 0, 2, 4],\n [-1, 1, 0, 1],\n [0, 0, -4, -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[[4, -4, 2, 3],\n [3, -1, 0, 4],\n [2, -2, -4, -4],\n [0, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5096
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -2, 2],\n [-2, -4, -2, 0],\n [-4, 2, 4, -2],\n [-1, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1392
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 2, 0],\n [0, -2, 2, -3],\n [2, 2, -2, 2],\n [0, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1301
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, 3],\n [-1, 4, 4, -1],\n [2, 3, 0, 2],\n [1, 2, 0, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
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