messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -3, 0],\n [-2, -3, 0, -2],\n [-3, 0, -1, -2],\n [0, -2, -2, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-68
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[0, 4, -2, 3],\n [3, -3, -1, 3],\n [-4, 0, 1, 3],\n [3, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 3, 1, -4],\n [2, 0, -2, -3],\n [3, 4, 0, 1],\n [-3, -1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10242
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, 4, 3],\n [0, -4, -2, 0],\n [4, -2, 1, 0],\n [3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7781
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, -2, -4],\n [1, -3, 3, -4],\n [-4, 3, 2, 4],\n [-4, 1, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1192
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, -2, -1, -2],\n [-2, -1, 1, 2],\n [-1, 1, 3, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -3, 0],\n [-4, -4, -1, 1],\n [-3, -1, -1, -2],\n [0, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1805
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 0, 2],\n [3, -3, 1, 0],\n [0, 1, 2, 0],\n [2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
485
|
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, -1, 0],\n [1, 2, 4, -4],\n [-4, 4, -1, 0],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1094
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[0, 0, -1, 1],\n [0, 3, -2, -2],\n [-1, -2, -1, 4],\n [1, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -2],\n [2, -4, -3, 3],\n [0, -3, -3, 2],\n [-2, 3, 2, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, -3, 0, 0],\n [-3, 4, -2, 1],\n [0, -2, 4, -2],\n [0, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
696
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 4],\n [0, 2, 2, -3],\n [2, 2, -1, -2],\n [4, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3250
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-2, -2, 0, 3],\n [-4, -4, -4, 1],\n [-4, 2, 2, 0],\n [-1, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-331
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 0, 0],\n [-1, -1, 0, -1],\n [0, 0, -4, 2],\n [0, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
333
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, -2, 1],\n [-2, 1, 2, 2],\n [-2, 2, 0, -2],\n [1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1314
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-2, -3, 2, -3],\n [0, 2, -3, 0],\n [0, -3, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
997
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-3, 3, -1, 0],\n [3, 3, -2, 0],\n [-1, -2, -2, -2],\n [0, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
199
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, 2, -2, -2],\n [2, 0, -2, -1],\n [-2, -2, 2, 0],\n [-2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-112
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, 0, -1, 2],\n [0, -3, 0, -2],\n [-1, 0, -1, -1],\n [2, -2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, -2, 1],\n [0, -2, 3, 0],\n [-2, 3, 2, 2],\n [1, 0, 2, -4]]\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^4 where A is:\n[[1, -4, -1, 3],\n [-4, 2, 3, -3],\n [-4, -2, 4, 1],\n [2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
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, 4, -2, 2],\n [0, -2, 4, -2],\n [-1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
964
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, -4, -4],\n [2, -4, 0, -4],\n [-4, 1, 3, 2],\n [0, 3, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4615
|
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, 4, -1],\n [0, 3, 0, -4],\n [4, 0, -1, 0],\n [-1, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1288
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 2, 2, 4],\n [2, 0, -2, 2],\n [2, -2, -4, 1],\n [4, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 1, -3],\n [-3, -1, 2, 1],\n [-3, 0, 4, -1],\n [1, 4, 4, -4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, 2, 1],\n [-2, -4, -1, -2],\n [1, 3, -2, -3],\n [-2, 0, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3562
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 2, 1, 2],\n [4, -2, 2, 3],\n [1, 4, 0, 4],\n [-2, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
110
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 4, -1, -1],\n [0, -1, 0, 0],\n [0, 0, -3, -2],\n [4, -4, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
757
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, -2, 2],\n [-2, 0, -2, 0],\n [-2, -2, -2, 0],\n [2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
957
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, 4, -3],\n [3, 4, -1, -1],\n [0, -2, 4, -3],\n [-2, 4, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1440
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, -1, 4],\n [2, -4, -2, 0],\n [-1, -2, -3, 0],\n [4, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4913
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, -2, 4],\n [1, 0, 2, -2],\n [-2, 2, -4, 0],\n [4, 2, 1, 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 absolute values of all entries of the result:\nA =\n[[1, 1, 0, 1],\n [-4, 4, -4, 2],\n [-1, -4, 0, 2],\n [-4, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5680
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, 4],\n [0, 3, 4, 2],\n [0, 4, 4, 0],\n [4, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10454
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, 2, 0, -1],\n [-2, -4, 3, 1],\n [0, -2, 3, 3],\n [4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 2, 2],\n [-2, 1, 0, 0],\n [2, 0, 1, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -3, -3],\n [-2, 0, 4, -1],\n [1, 4, -4, 2],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-578
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, 0, 2],\n [-2, 1, 4, 3],\n [0, 4, 3, -4],\n [2, 3, -4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1451
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, 0, -1],\n [3, -2, -1, 2],\n [0, -1, 4, 2],\n [-1, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
633
|
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, 1, 0],\n [-4, -4, -2, -2],\n [1, -2, 1, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10101
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[4, 1, -1, 4],\n [1, -1, 3, 4],\n [-1, 3, 1, 1],\n [4, 4, 1, -3]]\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, 1, 0, 4],\n [3, 4, -1, 1],\n [-3, -1, 4, -1],\n [4, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-249
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, -4, 1],\n [-1, 2, -4, 3],\n [-1, 4, 0, -2],\n [1, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
319
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, 4, 0],\n [4, -2, 4, -3],\n [0, 4, 1, 0],\n [1, -2, -4, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[0, 1, -4, -4],\n [4, 1, -2, -1],\n [2, 4, -1, -4],\n [3, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
207
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, -1, 0],\n [-4, -4, -3, 1],\n [-4, -2, 0, 4],\n [-2, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14982
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 4, 3],\n [0, -4, 1, -2],\n [-4, 1, -4, 0],\n [-3, 3, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 4, 0, 0],\n [-4, 2, -2, -4],\n [1, 1, -4, 4],\n [-1, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2208
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-3, -1, 3, 2],\n [0, 1, 4, 1],\n [-2, 2, -2, 0],\n [4, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, -4],\n [0, 1, -2, 1],\n [0, -2, 1, 0],\n [-4, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4158
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, 0, 2, 0],\n [0, 2, 0, -1],\n [2, 0, -1, -4],\n [0, -1, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, 2, 2],\n [-2, -3, -1, -2],\n [2, -1, -4, 3],\n [2, -2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-4, 2, -2, 0],\n [2, -1, 1, 0],\n [-2, 1, 4, -2],\n [0, 0, -2, -1]]\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[[-4, -2, 0, 2],\n [-2, -1, 0, -2],\n [0, 0, 1, 2],\n [2, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
979
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-3, 1, 4, 4],\n [-2, -4, -4, -1],\n [0, -4, 1, -3],\n [-3, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-194
|
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, 2],\n [0, 1, 4, -1],\n [0, 4, -4, 0],\n [2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
575
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 0, -3, 2],\n [-4, -2, 1, 4],\n [2, 1, 3, 2],\n [-4, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 3, -3, 0],\n [-1, 3, 0, -2],\n [4, 0, -3, -2],\n [3, 2, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
722
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[3, -2, -3, -3],\n [-3, 2, -2, 2],\n [-4, 0, 1, -4],\n [-4, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
300
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 3, 4, -1],\n [4, 2, 3, -3],\n [-3, 3, -2, 1],\n [4, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
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, -3, 2],\n [-2, -3, 3, -2],\n [2, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2514
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, -2, -2],\n [4, -2, 0, 2],\n [-2, 0, -1, 0],\n [-2, 2, 0, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -1, -3, 2],\n [-1, 0, 4, -2],\n [-3, 4, -4, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-141
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 3, -4],\n [0, 2, 0, -1],\n [3, 0, -1, -2],\n [-4, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6153
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-3, 3, 2, 0],\n [3, 1, -1, 1],\n [3, 2, -3, -3],\n [-3, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
57
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 3, -4, 2],\n [-3, 1, -4, 1],\n [1, 4, -3, 1],\n [-2, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9890
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[3, -1, 3, -4],\n [1, -1, -3, 1],\n [-1, 2, -3, -3],\n [1, 3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-147
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 1, 2],\n [0, -3, -2, -2],\n [1, -2, 0, 0],\n [2, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, -2, 0],\n [0, 4, 2, 2],\n [-2, 2, 0, -2],\n [0, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4169
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-4, 2, -1, -3],\n [3, -3, 3, -3],\n [-3, -3, 1, -1],\n [-1, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
145
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -4, 3, -2],\n [0, 0, 3, 4],\n [4, -4, 3, 2],\n [1, 2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3992
|
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, -2, 4, 1],\n [-2, 4, 2, 4],\n [0, 1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18415
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, 0],\n [0, -4, 2, 4],\n [0, 2, 0, 0],\n [0, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
64
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -2, 4],\n [0, 3, -1, 2],\n [-2, -1, 2, 0],\n [4, 2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4102
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 3, -1],\n [0, -1, 2, 0],\n [2, 0, -1, -3],\n [0, 3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
519
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -4, 0],\n [-2, 3, 4, 1],\n [0, 2, -4, 2],\n [4, -4, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1087
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 0, -2],\n [1, -1, 0, -2],\n [0, 0, 2, -1],\n [-2, -2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
532
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 0, 0],\n [-3, -4, 4, -4],\n [1, 1, -4, -3],\n [0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6528
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, -3, -1],\n [-2, 2, -4, -2],\n [0, -4, -1, -1],\n [3, 1, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
396
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-1, -2, 3, 3],\n [-2, 1, -2, 2],\n [-4, 3, -1, 2],\n [1, 3, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
319
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, 0, -2],\n [0, -2, 2, 1],\n [0, 2, 0, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 2, 2],\n [-2, -3, 2, -2],\n [2, 2, 0, 0],\n [2, -2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
739
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -1, -2, -2],\n [-1, -1, 2, 1],\n [-2, 2, 1, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1180
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, 2, 4],\n [-1, -3, -1, -1],\n [3, 3, 0, 2],\n [-4, -3, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1030
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -1],\n [-2, 1, 2, -2],\n [0, 2, -1, 3],\n [-1, -2, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-107
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, -4, -1],\n [2, -2, -3, 3],\n [-3, 1, -2, 0],\n [-4, 4, 3, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-432
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 2, 0],\n [-1, 0, -1, 0],\n [2, -3, -2, 3],\n [-4, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
253
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, -4, -2],\n [-2, 1, -1, 2],\n [-4, -1, -1, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
843
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 1, -3],\n [-1, -2, 0, 2],\n [4, 3, 1, -2],\n [-3, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-102
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 4, 4],\n [0, 3, 0, -1],\n [-2, -1, -2, -4],\n [-4, 4, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-114
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, -3, -4],\n [3, 1, 2, -3],\n [2, 2, -4, 0],\n [1, 2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-147
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, -2, 1],\n [-2, 2, -2, -1],\n [-2, -2, 1, 0],\n [1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
79
|
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, -4, 2],\n [1, -3, 0, 2],\n [-4, 0, 2, -1],\n [2, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8633
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[0, 0, -4, -2],\n [1, 0, -3, 1],\n [0, -3, 3, 2],\n [1, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[0, 2, 0, -3],\n [-1, 3, -1, 4],\n [4, 0, 0, 2],\n [2, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -1, 2, -2],\n [3, -2, 4, 2],\n [-4, 1, -4, -2],\n [2, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1400
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 3, 1],\n [0, 1, -3, 0],\n [3, -3, -4, 2],\n [1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2496
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, -1, 4],\n [3, 0, -2, -1],\n [-4, 2, -4, -4],\n [-4, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2070
|
MATH
|
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