messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 0, -1],\n [3, 1, -2, -2],\n [0, -2, 2, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4464
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[0, 2, -2, 3],\n [1, -4, -4, 2],\n [-3, -4, 2, 0],\n [-1, 4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
259
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, -1, 3],\n [2, 1, 2, 0],\n [-1, 2, -1, 1],\n [3, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3965
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, 0, -2, 2],\n [0, -2, -2, -3],\n [-2, -2, -1, 0],\n [2, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -3, 2, -3],\n [4, -1, -2, 4],\n [-4, -2, 2, -4],\n [2, 1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
233
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, 1, 1],\n [-4, 3, 4, -3],\n [0, -3, -3, -1],\n [-3, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-255
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[1, 3, 2, 0],\n [-4, -3, -1, 2],\n [1, -4, -3, -1],\n [-4, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
214
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, -4, 0],\n [1, -2, 1, 4],\n [-2, 4, -2, -1],\n [4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-238
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 2, 3],\n [2, -1, -1, 0],\n [2, -1, 2, 0],\n [3, 0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1918
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -1, -2],\n [-4, -2, 0, 0],\n [-1, 0, -2, 1],\n [-2, 0, 1, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[2, -2, 0, -2],\n [-3, 4, 0, 4],\n [0, -3, -4, -4],\n [3, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1, -3],\n [3, 4, -3, 1],\n [1, -3, -3, 3],\n [0, -3, -3, 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 value at position (4, 1) of the result:\nA =\n[[3, 2, 2, -4],\n [2, 2, 2, -2],\n [2, 2, -2, 0],\n [-4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-164
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[1, -4, 3, 4],\n [-1, 3, -3, 2],\n [-1, 0, 1, 3],\n [0, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -4, 0],\n [0, 4, 2, -2],\n [-4, 2, 2, -2],\n [0, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2658
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 3, 0],\n [4, -3, 2, 3],\n [3, -2, -2, -1],\n [1, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 1],\n [0, -3, -2, 2],\n [0, -2, -1, 0],\n [1, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, 4],\n [4, 2, 4, -4],\n [-3, -2, 2, -1],\n [2, -4, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-246
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, 0, 1],\n [-1, 0, 0, -1],\n [0, 0, 3, 2],\n [1, -1, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
525
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -1, 0],\n [-2, 2, 0, 2],\n [-1, 0, -3, 0],\n [0, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 3, 4],\n [-4, 1, 0, -2],\n [-1, -4, 0, -2],\n [2, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2933
|
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, 3, 4],\n [2, 1, 4, 2],\n [-2, 0, 3, -1],\n [3, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
982
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, 2, -2, 0],\n [2, 2, -1, -1],\n [-2, -1, -3, -2],\n [0, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 1, 0],\n [-2, -4, -2, 0],\n [1, -2, 4, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4769
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 2, -1],\n [-3, 0, 0, -2],\n [2, 0, 4, 0],\n [-1, -2, 0, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[4, 0, -3, 3],\n [-2, 3, 3, 3],\n [2, 1, 2, 1],\n [4, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
846
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 1, 0, 2],\n [1, 4, -3, 0],\n [0, -3, 3, -1],\n [2, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-146
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, 2, 0],\n [4, -2, -3, 0],\n [4, 3, 2, 4],\n [4, 4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, 2],\n [2, -1, 2, 0],\n [0, 2, -2, -3],\n [2, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-73
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-2, -3, 1, -3],\n [4, -2, -1, -1],\n [-1, 3, -1, 2],\n [3, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
729
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 4, -3],\n [-3, -1, 2, 4],\n [2, 4, -4, -2],\n [-4, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16851
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -4, 1, 0],\n [3, 1, 4, 4],\n [-3, -2, -1, 4],\n [-2, 4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
886
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, -2, 0],\n [4, 3, 0, 2],\n [-2, 0, -4, -2],\n [0, 2, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-189
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[1, 3, 2, 2],\n [-1, 0, 2, 2],\n [-1, -4, -4, 0],\n [-3, -3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
159
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, 0, -3],\n [3, -3, -2, -4],\n [0, -4, -3, -1],\n [-2, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12675
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -2, 0],\n [2, 2, 0, 0],\n [1, 1, -4, -2],\n [1, 4, -1, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-3, -4, 0, 2],\n [-4, 2, 1, 4],\n [-4, 2, 2, 0],\n [4, 4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, -2],\n [0, 1, 0, 0],\n [-1, 0, 0, 2],\n [-2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
447
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 0, 0],\n [2, -2, 0, -4],\n [0, 0, 3, 4],\n [0, -4, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1715
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -3, 0],\n [-3, 3, 1, -1],\n [-2, 1, -4, 0],\n [-2, -4, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
650
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -3, 1],\n [-3, -3, 2, -2],\n [2, -4, 4, -1],\n [-2, -4, -4, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
228
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, 2, -4],\n [-1, 0, 3, 0],\n [-2, 4, -1, 2],\n [4, -4, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1500
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[1, 0, 2, 2],\n [0, 0, 3, -3],\n [2, 3, -1, 2],\n [2, -3, 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^3 where A is:\n[[-1, -1, 0, 1],\n [-1, 3, 2, -1],\n [0, 2, 2, 4],\n [1, -1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
839
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 2],\n [0, 4, 3, 0],\n [0, 3, -3, -1],\n [2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
448
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[2, 2, 0, 0],\n [2, 1, -2, 0],\n [0, -2, 2, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-2, 1, 0, 0],\n [1, -3, 0, -2],\n [0, 0, -2, -4],\n [0, -2, -4, -4]]?\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[[2, 2, -2, -2],\n [2, 0, 2, 0],\n [-2, 2, -2, -2],\n [-2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-201
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 2, 2],\n [3, 1, -3, -1],\n [-2, 4, -4, -3],\n [-2, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1166
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 0, 1],\n [-1, 2, -3, -3],\n [0, 2, 2, -4],\n [2, 3, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-90
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 1],\n [0, 3, 2, 1],\n [0, 2, 4, 0],\n [1, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2608
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-3, 4, -2, 2],\n [0, -4, -2, 4],\n [-3, -1, 1, 4],\n [4, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-680
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, 4, -2],\n [0, -1, -1, 2],\n [-2, 3, 2, -3],\n [-4, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-550
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-3, -2, 0, 0],\n [-2, 3, -1, 0],\n [0, -1, 2, -1],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -2, 0],\n [-2, 0, 2, -4],\n [-2, 2, -3, 0],\n [0, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
819
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 3, 1],\n [0, 1, 0, 4],\n [1, 0, 2, 4],\n [2, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1869
|
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, 3, -2],\n [-4, 0, -1, 0],\n [-2, 1, 0, -3],\n [2, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
730
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, -4, 0],\n [1, 1, 4, -4],\n [2, -1, 2, 4],\n [1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
97
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, 2],\n [-2, 2, 4, 2],\n [-2, 3, -4, -2],\n [1, -2, -1, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -2, 1],\n [-3, -4, -2, 2],\n [-2, -2, 2, 4],\n [-1, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1218
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 2],\n [0, -3, 2, 0],\n [0, 2, -1, 0],\n [2, 0, 0, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 2, 0],\n [0, -1, -3, 2],\n [2, -3, 1, 1],\n [0, 2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4015
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 0, -2],\n [-2, 4, 0, 3],\n [0, 0, 4, -2],\n [-2, 3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1113
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-2, 0, 2, 0],\n [0, 3, -2, 2],\n [2, -2, -1, 2],\n [0, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[4, 1, 2, 0],\n [1, -1, 0, -2],\n [2, 0, 0, 3],\n [0, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
61
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 4, -3, 0],\n [0, 1, 1, 1],\n [0, -3, 1, -3],\n [0, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
206
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 1, 4, 4],\n [1, -3, 3, -4],\n [0, -1, 2, 4],\n [-3, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1069
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -2],\n [-2, -4, -2, -2],\n [0, -2, 1, 0],\n [-2, -2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2925
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -3, -4],\n [-3, -1, 4, 1],\n [-1, -4, -3, -1],\n [-2, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
523
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-4, 4, 0, -2],\n [4, 2, -2, -3],\n [0, -2, 4, -2],\n [-2, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1320
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, -2, -1],\n [-4, 3, 2, 0],\n [-2, 2, -2, 2],\n [-1, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14250
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 0, -2],\n [2, 0, 0, 2],\n [0, 0, 1, 1],\n [-2, 2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4742
|
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 [4, -4, 3, -4],\n [-4, 0, -1, -1],\n [4, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1413
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, 1, -2],\n [-4, -2, 1, -3],\n [1, 1, 0, -2],\n [-2, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-236
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, -2, 1],\n [1, 4, 4, 0],\n [0, 4, -3, -4],\n [-4, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6654
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-2, -2, 0, 1],\n [-2, 1, 1, -2],\n [0, 1, -2, 0],\n [1, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
114
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 4, 0],\n [-1, 3, 2, -1],\n [4, 2, -3, 0],\n [0, -1, 0, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
133
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -1, 3],\n [-4, 3, 0, -4],\n [2, 1, -3, -4],\n [2, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1383
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 4, -3],\n [-1, 1, -3, 0],\n [4, -3, 2, -2],\n [-3, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1941
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -3, 1],\n [-4, 2, 0, 2],\n [4, -3, 0, 4],\n [-2, -3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
202
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 3, 1],\n [0, -2, -1, 0],\n [3, -1, 4, -3],\n [1, 0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1055
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, 0, 4],\n [1, -3, -2, 2],\n [4, -3, -1, -3],\n [-4, -1, 4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
438
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -4, -1, -2],\n [2, 3, -3, -4],\n [-2, 4, -4, 1],\n [4, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4040
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -1, 2],\n [3, 4, -3, 3],\n [-1, 0, 2, 0],\n [2, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
795
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, -4, 4],\n [-2, 4, -2, -1],\n [3, 1, -2, 4],\n [0, -1, 2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
173
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, 4, 3],\n [3, 3, 1, 3],\n [3, -4, 1, 0],\n [-2, 2, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-138
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 1, 0, -4],\n [1, 4, 4, 4],\n [0, 4, 3, 4],\n [3, -4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2734
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-2, 4, -3, -4],\n [1, -1, 4, 2],\n [-3, -3, 3, 2],\n [-4, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-210
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[3, -2, 3, -2],\n [2, -3, 3, 4],\n [1, -4, -3, -3],\n [1, -4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
184
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[0, -3, 3, -1],\n [0, 4, 0, -3],\n [-2, -2, -3, 3],\n [3, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-234
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 1, 0],\n [2, -2, 0, 1],\n [1, 0, 3, 0],\n [0, 1, 0, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 0, -2],\n [3, 4, -1, 3],\n [2, -3, 0, 1],\n [2, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-91
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 4],\n [0, -3, 4, -2],\n [0, 4, -2, 0],\n [4, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
108
|
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, 0, 3, -2],\n [0, 3, 2, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
267
|
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 [-2, 1, 4, -2],\n [0, 3, -3, -1],\n [-3, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1387
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, -2, -2],\n [0, 3, -1, 2],\n [-2, -1, -2, 0],\n [-2, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
955
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, -1, -2],\n [4, 3, 2, 0],\n [0, 1, -4, 0],\n [2, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
933
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[1, -4, -1, -1],\n [0, 1, 3, 2],\n [-2, -1, -3, -3],\n [0, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-1, 0, -3, 2],\n [0, 1, 0, -3],\n [-3, 0, 4, -2],\n [2, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[3, 0, -2, 0],\n [0, 4, -2, 0],\n [-2, -2, 0, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
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