messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, -2, 1],\n [1, -4, 0, 2],\n [-2, 0, -4, -2],\n [1, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1596
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, 2, -3],\n [2, 1, 1, 4],\n [-4, 4, 2, -1],\n [1, -4, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5442
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, -4, -4],\n [4, 3, 1, 1],\n [-3, -4, 3, -3],\n [3, 4, -1, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2076
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[2, 0, -4, -2],\n [-3, 3, -2, -4],\n [4, 4, -1, 4],\n [-4, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
992
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 2, -4],\n [3, 2, 1, -4],\n [-3, 0, -1, 3],\n [-2, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -4, 4, 4],\n [-4, 1, 1, 3],\n [-2, 0, 0, -1],\n [2, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
710
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 3, 0],\n [-3, -1, 4, -4],\n [-4, -1, -3, -3],\n [1, 4, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7876
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, 0, 2],\n [1, 3, -2, 0],\n [-1, 1, 0, -3],\n [-3, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
333
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 0, 2],\n [2, -2, 0, 1],\n [0, 0, 0, 0],\n [2, 1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
969
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, -4, -4],\n [2, 1, -4, -2],\n [-3, 1, -4, 3],\n [0, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
311
|
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, 1, -1],\n [2, 1, -2, 4],\n [2, -4, -3, -1],\n [4, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1366
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 2, 4],\n [-3, -3, -2, 1],\n [2, -2, 4, 0],\n [4, 1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
515
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-4, 4, 4, -1],\n [2, 1, 1, 0],\n [4, -1, -3, 4],\n [0, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
188
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[0, -1, -3, 2],\n [-1, 4, 2, -2],\n [-3, -3, 2, -3],\n [-4, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-75
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, 0, 3],\n [1, 3, 4, -4],\n [2, 1, -1, 3],\n [0, -1, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
610
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, -1, 2, -4],\n [-1, 0, -4, -2],\n [2, -4, 2, 1],\n [-4, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -3, 3],\n [1, -2, 0, 4],\n [0, -2, 2, 0],\n [-3, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
748
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, 4, -1],\n [1, -4, 2, -3],\n [-1, 2, 0, 0],\n [-2, 2, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1929
|
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, -3, -1],\n [-4, 1, 3, 3],\n [4, -3, -2, -2],\n [2, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
773
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, -2, -2],\n [2, 3, -2, 0],\n [-2, -2, 2, -4],\n [-2, 0, -4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1124
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[0, -4, -2, 2],\n [-4, 0, -2, 0],\n [-2, -2, -4, 2],\n [2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-512
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-4, 1, 2, 2],\n [-2, -3, -3, 2],\n [1, 1, -3, 4],\n [-3, 2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-3, -3, 0, 2],\n [-3, 0, -2, 2],\n [0, -2, 2, -2],\n [2, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, -3, -3],\n [1, -4, 1, -1],\n [-4, 2, -1, -4],\n [4, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1120
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 2, -2],\n [0, 2, 0, 0],\n [2, 0, -4, 2],\n [-2, 0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
169
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 1, -4],\n [2, -2, 0, -3],\n [1, 0, -3, -4],\n [-4, -3, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-546
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, -1, 1],\n [1, 3, 3, -1],\n [0, 4, -3, -3],\n [1, -2, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
254
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, -1, 4],\n [-1, -3, 4, 4],\n [-1, -3, 2, 0],\n [-3, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1062
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, -4, -4],\n [2, 4, -1, 0],\n [-4, -1, -4, 2],\n [-4, 0, 2, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-184
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-1, -2, 3, -2],\n [-2, 0, -3, -3],\n [3, -3, 4, -2],\n [-2, -3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-789
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 4, -4],\n [-4, -2, 3, 0],\n [-2, 3, -2, 2],\n [-3, -1, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8380
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, 3, -2, 4],\n [0, 1, 4, 2],\n [3, 3, 0, -2],\n [-1, 2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
317
|
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, -1, 1],\n [-4, 2, 3, 3],\n [3, 0, -2, 2],\n [-1, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
155
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[0, 1, 4, 1],\n [2, -2, -4, 3],\n [3, 2, 2, 1],\n [-3, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
361
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 3, -3, 4],\n [3, -1, 2, 0],\n [-3, 2, -1, -2],\n [4, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10336
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -2, -2, 4],\n [-1, -1, -1, -1],\n [3, -4, -1, 0],\n [1, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1838
|
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, 0, 2],\n [0, 3, -1, -2],\n [0, -1, 2, 2],\n [2, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3119
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, -2, 3],\n [-1, 2, -4, -2],\n [-3, 2, -4, 4],\n [2, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 1, -2],\n [2, -3, 2, 0],\n [1, 2, -4, 3],\n [-2, 0, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5385
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -2, 2],\n [2, 2, 2, -2],\n [-2, 2, 4, 0],\n [2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7257
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, 3, -3],\n [4, 3, 3, 1],\n [-4, -3, 4, 0],\n [4, -2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8649
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 0],\n [0, 3, -4, 2],\n [0, -4, 1, -2],\n [0, 2, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7044
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, -2, 3],\n [-4, 1, -1, -4],\n [-1, 3, 1, -3],\n [-2, 1, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-170
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 3, 1],\n [-1, -1, -1, 3],\n [-3, 0, 1, 4],\n [1, -2, 2, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
134
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 1, 1],\n [1, -4, 0, 1],\n [0, -1, 0, 4],\n [-2, -2, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
356
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, -2, -1],\n [3, 0, -3, 0],\n [4, 4, -2, 0],\n [-3, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3124
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, -3, -3],\n [3, 0, -1, 3],\n [0, 1, -1, -4],\n [-4, -4, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3814
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, -3, -1],\n [2, -4, 2, -1],\n [-3, 2, -2, -4],\n [1, 4, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1580
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 4, -4, 2],\n [-2, 4, 2, -1],\n [-2, 3, -1, -3],\n [4, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, 0, -4],\n [-3, 0, -3, -1],\n [4, 1, -3, 1],\n [-2, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
259
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 3, 3],\n [-4, -2, 3, -3],\n [-3, -4, -3, 2],\n [-3, 4, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7716
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0, 2],\n [1, -4, 2, 2],\n [0, 2, 1, 0],\n [2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
623
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 4, 0, 0],\n [4, -1, -1, 1],\n [0, -1, -1, 0],\n [0, 1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 2, 0],\n [0, 1, -1, -2],\n [2, -1, 2, 0],\n [0, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
186
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 0, 2],\n [-2, 4, 2, -2],\n [0, 2, -3, -1],\n [2, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
520
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[3, 1, 3, 4],\n [-3, -2, -3, 0],\n [-2, 0, -4, -3],\n [1, -2, -1, 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 value at position (1, 3) of the result:\nA =\n[[-1, 2, 0, -1],\n [2, -4, 0, 3],\n [0, 0, -1, 4],\n [-1, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-468
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -1, 2],\n [2, -3, 3, -1],\n [-1, 3, -4, 0],\n [2, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
59
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, -2, 0, -2],\n [-2, 4, 0, 1],\n [0, 0, 3, 2],\n [-2, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 4, -3],\n [0, 1, 0, 0],\n [4, 0, 0, -1],\n [-3, 0, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3738
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, 2, 1],\n [-2, 4, 0, -2],\n [2, 0, 4, -2],\n [1, -2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
810
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[1, 1, 0, -2],\n [1, 2, 2, 0],\n [0, 2, -3, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
493
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, 2, 0, 0],\n [2, 1, 2, -4],\n [0, 2, -3, 4],\n [0, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-488
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, -1, 4],\n [1, -1, 0, 1],\n [3, 0, 1, 3],\n [4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
95
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, -1, -1],\n [-4, -2, -1, 4],\n [-2, 4, 0, -4],\n [-2, 4, 3, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-282
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, 2, 2],\n [-1, 2, 2, 0],\n [2, 2, 1, -2],\n [2, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
95
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -1, 4],\n [2, -1, -4, -2],\n [-1, -4, -3, 0],\n [4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11655
|
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, -3, -2],\n [-2, 4, 2, 2],\n [1, -4, 2, -3],\n [2, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1878
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, 0, 4],\n [3, 4, 0, 4],\n [2, -3, -4, -1],\n [-1, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3915
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, -2],\n [0, 3, -3, -2],\n [0, -3, -1, 0],\n [-2, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-252
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, 0],\n [0, 3, 3, 2],\n [0, 3, -3, -1],\n [0, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
511
|
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, -2, 2],\n [3, 4, -4, -1],\n [-2, 0, -3, -1],\n [-1, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3811
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, 0, 3],\n [-4, 2, 2, 4],\n [-4, 0, 2, -3],\n [4, 4, 4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1950
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -4, -1],\n [-3, 2, 1, 2],\n [4, 4, -1, -3],\n [-4, -2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1213
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -3, 2, 3],\n [1, -3, 4, -4],\n [-4, -1, -3, 3],\n [-4, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1092
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-1, 2, 4, 1],\n [4, 4, -4, 3],\n [-2, 4, 3, -1],\n [3, 4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, 1, -3],\n [4, 3, 1, 0],\n [-3, -3, -3, 2],\n [2, 1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3772
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, 1, -2],\n [-3, 4, -2, 1],\n [1, -2, -3, 0],\n [-2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1566
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 3, -3, 1],\n [-1, 1, 2, -4],\n [4, 3, -1, 2],\n [4, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1348
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 0, -4, -1],\n [-4, 2, 1, -1],\n [4, -2, -3, -2],\n [3, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
305
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, -3, 4, 3],\n [-3, 3, -4, -1],\n [-1, 3, 2, -1],\n [-2, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-312
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 2, 1],\n [-2, -2, 1, 0],\n [4, -3, 1, -1],\n [-3, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
272
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -2, 0],\n [0, 0, 0, 0],\n [-2, 0, -2, 0],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
192
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, -3, 1, 4],\n [-2, 1, -4, -1],\n [-2, 4, 3, -1],\n [1, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
187
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 3],\n [2, 0, 0, -1],\n [-2, 0, -1, 0],\n [3, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1389
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-1, -2, -3, 2],\n [-2, -2, -4, -1],\n [-3, -4, -2, 0],\n [2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-152
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, -1, 2],\n [-1, 1, 3, -1],\n [-3, -1, 0, -2],\n [0, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-164
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[1, 2, 0, 0],\n [2, -2, 2, 2],\n [0, 2, 1, -2],\n [0, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[2, -2, 0, 4],\n [-2, -3, -3, 4],\n [2, 1, 4, 4],\n [4, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, 1, -4],\n [-2, 4, -2, 1],\n [-3, 4, -3, 2],\n [-2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, -1, 1, 0],\n [-1, 3, -2, -2],\n [1, -2, -3, -2],\n [0, -2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 1, 0],\n [-1, 3, -3, 1],\n [-1, -4, 0, 3],\n [-3, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
152
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, -3, -1, -3],\n [-3, -3, 0, 2],\n [1, -2, 2, -4],\n [4, -1, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 4, 1, -3],\n [2, 0, 1, -2],\n [-1, 0, -2, 0],\n [4, -4, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
421
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 2, 2],\n [0, 4, 0, 1],\n [2, 0, 1, -2],\n [2, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2299
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 1, -4],\n [0, 3, 1, -1],\n [1, 1, 1, 2],\n [-4, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
476
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, -3, 2, 1],\n [-3, 1, 4, 0],\n [2, 4, -4, -2],\n [1, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-133
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 4, -4, -3],\n [-4, 1, -4, -3],\n [-3, 1, -2, -3],\n [3, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-524
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, 4, -2, -3],\n [4, 0, 4, -4],\n [-2, 4, 3, 0],\n [-3, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
508
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 0],\n [2, -1, 2, 2],\n [0, 2, 1, 2],\n [0, 2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
331
|
MATH
|
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