messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 1, 0],\n [0, -4, 0, 0],\n [1, 0, -3, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-140
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, -4, -1],\n [0, 1, 0, -3],\n [-4, 0, 3, 2],\n [-1, -3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4966
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 0],\n [2, -1, -2, 0],\n [0, -2, 3, 0],\n [0, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1203
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -3, 2, 4],\n [-3, -3, -2, 3],\n [2, -2, -4, -2],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9406
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, -2, -3],\n [0, -3, -4, 1],\n [0, 4, -4, 1],\n [3, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
261
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -3, -1, -3],\n [4, 0, 2, 2],\n [4, -4, -4, 2],\n [3, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
810
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, -2, -2],\n [1, 4, 4, 0],\n [-2, 4, 2, -2],\n [-2, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
500
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 1, 0],\n [0, -2, 0, 0],\n [1, 0, -3, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
238
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -3, 4],\n [1, 0, 3, -4],\n [1, -3, 4, 0],\n [-1, 3, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
874
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, 3, 1],\n [-3, -1, -4, -3],\n [-1, -3, 0, -4],\n [-4, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-344
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 0, 2],\n [4, 3, -1, 0],\n [0, -1, 2, 3],\n [2, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5164
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[3, 2, -4, -3],\n [-2, 4, 0, 0],\n [-1, 4, -2, 3],\n [-2, -3, 2, 0]]\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[[4, 4, 2, 0],\n [4, 2, 1, -2],\n [2, 1, -3, 0],\n [0, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13281
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 4, -2],\n [-4, 3, 0, 4],\n [-4, 0, 2, -3],\n [-3, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3414
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, -4, 0],\n [3, 3, 1, 4],\n [4, 3, 2, -2],\n [3, -1, -4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2727
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, 1, 4],\n [4, 3, -3, -3],\n [4, -3, 3, 4],\n [3, -3, -1, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1067
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, -1, -4],\n [2, -3, 2, 2],\n [-1, 2, 3, 4],\n [-4, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 1, -2],\n [-4, -1, 2, 4],\n [0, 2, 0, -3],\n [0, 2, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5218
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[1, -4, 1, 2],\n [-4, -4, 0, 3],\n [1, 0, -1, 1],\n [2, 3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -1, 3],\n [-1, 3, -4, -1],\n [3, 3, -3, 3],\n [-3, 3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2768
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 1, 2],\n [4, -1, -1, 3],\n [1, -1, 4, -3],\n [2, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5333
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, -2, -4],\n [1, -4, -4, -4],\n [2, 2, 4, 2],\n [2, 1, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
329
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 2, -1],\n [0, -4, 2, -2],\n [2, 2, -3, 0],\n [-1, -2, 0, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
822
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[4, 0, 2, 2],\n [0, -3, -1, 4],\n [2, -1, -2, 0],\n [2, 4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 2, -1],\n [2, 0, 0, -1],\n [2, 0, 3, 4],\n [-1, -1, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3269
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, 0, 0],\n [2, -1, 4, 2],\n [0, 4, -3, 2],\n [0, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
924
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 0, 2],\n [2, -3, -2, -2],\n [0, -2, -3, -2],\n [2, -2, -2, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
614
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[3, -2, 3, 2],\n [-4, 0, 3, 1],\n [4, 3, -3, -4],\n [2, 3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-326
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[1, -3, 2, -3],\n [-4, 4, 3, -1],\n [-4, 3, 4, 4],\n [4, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, 3, 2],\n [-4, -3, 1, 2],\n [-2, -1, -1, -3],\n [-2, 1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-762
|
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, 4, 2],\n [0, 4, 0, -4],\n [0, 2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2246
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, -1, -2],\n [-1, 0, 1, 0],\n [-1, 1, 4, -3],\n [-2, 0, -3, 3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
122
|
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, -3, 1],\n [-3, -1, 3, 1],\n [0, 4, -3, -4],\n [-4, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
589
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[1, 3, 3, 1],\n [2, -2, 2, 4],\n [2, 4, 0, 1],\n [-2, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
516
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 1, 0],\n [0, 2, 2, 0],\n [1, 2, 2, 2],\n [0, 0, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1606
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 3, 1],\n [-3, 2, 0, -1],\n [4, -2, 1, 4],\n [-4, -1, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
47
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -2, 0],\n [4, -3, -3, 3],\n [-3, 4, 3, 1],\n [0, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
757
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -4, 0, 3],\n [-4, 0, 2, -1],\n [0, 2, 0, 0],\n [3, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
111
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[2, 0, 0, -2],\n [0, 1, -2, 0],\n [0, -2, -4, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -2, -2],\n [0, -4, 2, 1],\n [-2, 2, -3, 2],\n [-2, 1, 2, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
25
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-3, -4, -2, -3],\n [-4, 2, 0, 3],\n [-2, 0, 0, -1],\n [-3, 3, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
185
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 4, -1],\n [-1, 2, 3, -2],\n [2, 4, -1, 3],\n [-4, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6682
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, 0, -4],\n [-4, -2, 3, 0],\n [-2, -1, -3, 2],\n [2, 1, 3, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
57
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-4, 3, 3, 1],\n [4, -4, -3, 0],\n [1, 2, 1, -1],\n [4, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-86
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, -3, 0, 2],\n [-3, 1, -4, 0],\n [0, -4, 2, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-112
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 2],\n [2, -3, 2, -1],\n [0, 2, 1, -2],\n [2, -1, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
59
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, 3, -1],\n [-3, -3, -2, -4],\n [3, -2, 1, -4],\n [-1, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14036
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, 1, -1, -2],\n [1, -2, -1, -4],\n [1, 0, -3, 0],\n [-4, -4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 2, -3],\n [2, 1, 4, -3],\n [2, 1, -3, 1],\n [4, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1191
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -1, 1, 0],\n [-1, 1, -2, 0],\n [1, -2, 0, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
189
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 1],\n [0, -2, -2, 2],\n [0, -2, -3, -2],\n [1, 2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1155
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-3, -4, -2, -4],\n [1, 0, 1, -1],\n [2, -1, -3, -4],\n [3, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
86
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-3, 3, -4, -4],\n [-3, 0, -2, 2],\n [-4, -3, -2, 4],\n [2, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-259
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 0, 0],\n [0, -4, 0, 0],\n [0, 0, 2, 2],\n [0, 0, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -1, 1, 4],\n [-4, -2, -2, -1],\n [-4, -1, 2, 4],\n [-3, -1, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
231
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 2, 0],\n [0, -3, 0, 0],\n [2, 0, 3, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1102
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 2, 3],\n [1, 2, 4, 4],\n [-1, 2, -3, -3],\n [2, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-97
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, -4, 2, 2],\n [-4, 2, -3, 0],\n [2, -3, 4, -2],\n [2, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-180
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 0, -2],\n [0, -1, -3, -2],\n [0, -3, -3, 0],\n [-2, -2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2128
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, 0, 2],\n [-2, -3, -4, 4],\n [0, -4, 4, 1],\n [2, 4, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16550
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, 1, -4, -4],\n [-1, 1, 2, 3],\n [2, 0, -1, -1],\n [0, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 3, 2],\n [-3, 3, 2, -4],\n [-4, 1, -1, 1],\n [-1, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3116
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 0, 1],\n [2, 4, -1, -1],\n [0, -1, -4, 0],\n [1, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2838
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, -3, -4],\n [0, -1, 3, 2],\n [0, -2, -3, 0],\n [0, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-151
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, -4, -2],\n [-4, 4, -2, 0],\n [-4, -2, -1, 2],\n [-2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12182
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 1, 0],\n [2, 3, 0, -2],\n [1, 0, 0, 2],\n [0, -2, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
773
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[2, -2, 4, -1],\n [0, -4, -4, 0],\n [-2, -3, -1, 0],\n [0, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
152
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -4, -2],\n [3, 0, -1, -2],\n [-3, -2, 3, -4],\n [3, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4332
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 4, -1, 3],\n [4, -1, -2, 0],\n [-1, -2, -4, 2],\n [3, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 0, 1],\n [0, 1, 2, 2],\n [0, 2, -1, -2],\n [1, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
808
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 1, -3],\n [1, 1, 0, -2],\n [4, 2, 3, 4],\n [4, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4044
|
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, 2],\n [3, -3, -3, 3],\n [2, -1, 4, -3],\n [-3, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10650
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 3, 0, 4],\n [3, 3, 1, -3],\n [1, -3, 2, 0],\n [-2, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-528
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -1, 2],\n [0, 3, 4, 1],\n [-1, 4, 0, 3],\n [2, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
990
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[4, -4, -4, 0],\n [-4, 2, 0, 1],\n [-4, 0, 0, 0],\n [0, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-404
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, 4, 2],\n [-4, 4, 3, -1],\n [1, -3, 0, -3],\n [1, -1, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
770
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[3, -2, 0, -2],\n [0, -2, -1, -1],\n [1, 4, -2, 3],\n [1, 0, 0, 0]]\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, -4, -2, 3],\n [-1, 0, 2, 2],\n [-1, 4, -2, -3],\n [4, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-476
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -4, -2, -2],\n [-4, 0, -3, 4],\n [-2, -3, -2, -3],\n [-2, 4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1766
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, -2, 4, -3],\n [-1, 4, 3, 4],\n [4, -1, 0, 3],\n [-4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
784
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[3, 0, 1, 0],\n [0, -1, 2, 0],\n [1, 2, -2, 1],\n [0, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 2],\n [0, 4, 2, 1],\n [0, 2, 1, 0],\n [2, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
376
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 2, -2],\n [-2, -2, -3, -3],\n [-3, 0, 4, -2],\n [4, 0, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
51
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, 3],\n [-2, 4, -2, 1],\n [0, -2, -2, -4],\n [3, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1820
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, -1, 0],\n [-1, 0, -1, -3],\n [4, -1, 1, 3],\n [3, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1711
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, -2, -3],\n [-1, 4, 0, -1],\n [3, 1, -2, 0],\n [1, 3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-170
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 0, -1],\n [0, 1, 1, 0],\n [0, 1, -3, 3],\n [-1, 0, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
409
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -2, 0, 0],\n [-2, 4, 2, -2],\n [0, 2, 1, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
665
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, -3, 2],\n [1, -3, 1, 2],\n [-3, 1, 2, 0],\n [2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2532
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, -2, 0],\n [-2, -4, 0, 0],\n [-2, 0, 2, 0],\n [0, 0, 0, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
192
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, 0, 0],\n [1, 4, 0, 0],\n [0, 0, 3, 0],\n [0, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
180
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[4, -4, -2, 0],\n [-4, -3, 2, 1],\n [-2, 2, 4, 0],\n [0, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 1, 2],\n [2, 0, 0, -2],\n [1, 0, -3, 0],\n [2, -2, 0, 0]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0, -1],\n [1, -3, -3, -2],\n [0, -3, -2, 2],\n [-1, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-471
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, -4, -3],\n [3, -3, 0, -2],\n [-4, -2, 0, 2],\n [2, 1, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-263
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, -4, 3],\n [-1, 4, 0, 2],\n [0, 4, 0, 2],\n [1, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7652
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 0, 2],\n [-1, -1, 0, -2],\n [0, 0, -4, -2],\n [2, -2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-574
|
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, 2, -2, 0],\n [0, -2, -3, 0],\n [-2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 2],\n [-2, 4, -2, 1],\n [0, -2, 2, 0],\n [2, 1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
813
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -3, 2, 3],\n [-3, -2, 1, 0],\n [2, 1, 2, 0],\n [3, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
866
|
MATH
|
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