messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 4, 1, -4],\n [4, 4, 1, 4],\n [1, -2, -3, -1],\n [-1, 1, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11752
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, -2, 4],\n [-3, 0, 2, 3],\n [-4, 2, -3, 2],\n [-3, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1199
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[4, 4, 0, 3],\n [4, -2, 0, 2],\n [-2, -4, -1, 2],\n [4, 2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1070
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, 0, -2],\n [-3, -1, 2, 1],\n [-2, -4, -1, 3],\n [4, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9948
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, 2, 0, -4],\n [2, 1, 0, -1],\n [0, 0, 0, -2],\n [-4, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
557
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, -2, 2],\n [-3, 4, 2, -2],\n [-2, 2, 3, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1733
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -1, 2],\n [0, -1, -2, 2],\n [-1, -2, -2, 1],\n [2, 2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5649
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -2, 2],\n [0, -4, -3, 0],\n [-2, -3, 1, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
551
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -1, 4],\n [-1, -4, -3, 2],\n [-1, 4, -1, -4],\n [1, -4, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
422
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, -2, 1, 0],\n [-2, -3, 0, 0],\n [1, 0, 3, 2],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[2, -2, -2, 1],\n [-2, 4, 2, 0],\n [-2, 2, -2, 3],\n [1, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-115
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 1, -2, 1],\n [1, -2, 1, -2],\n [-2, 1, 1, 2],\n [1, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[0, -2, 2, -2],\n [-2, 3, 3, 0],\n [2, 3, 4, 0],\n [-2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 0, 2],\n [2, -1, 2, -1],\n [0, 2, 0, 0],\n [2, -1, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1210
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, 0, -1],\n [-3, 2, -2, -2],\n [0, -2, -1, -2],\n [-1, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-390
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 2, -2],\n [0, -2, 0, -3],\n [2, 0, -3, 2],\n [-2, -3, 2, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
84
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -4, -3],\n [3, -3, -2, -4],\n [1, 1, 2, 3],\n [4, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-385
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 2, -3],\n [-2, 0, -3, -1],\n [-1, 3, 4, 0],\n [-3, 3, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
593
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, -2, 2, 0],\n [-2, -3, 0, -4],\n [2, 0, -4, 1],\n [0, -4, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-862
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-3, -3, -2, -3],\n [0, 0, -4, 3],\n [3, 3, -1, 2],\n [0, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 4, 4],\n [2, -2, 1, 2],\n [4, 1, -1, 0],\n [4, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1407
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, -2, 0],\n [3, -2, -2, -2],\n [-2, -2, 3, 0],\n [0, -2, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
457
|
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 [4, -2, 3, 0],\n [-3, -3, -1, 0],\n [-1, -4, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
403
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 0],\n [2, 1, 2, 2],\n [2, 2, 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"
}
] |
1240
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 0, -1],\n [-2, -4, 0, -2],\n [0, 0, -4, 0],\n [-1, -2, 0, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
211
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 2, 2],\n [1, 4, 3, 2],\n [-1, -1, 1, 2],\n [-4, -1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3102
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, -3, -4],\n [0, -1, 3, -2],\n [-2, 3, -3, 4],\n [0, 3, -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 absolute values of all entries of the result:\nA =\n[[0, -2, 0, 2],\n [-2, 4, 2, 0],\n [0, 2, 4, 2],\n [2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5425
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -4, 4, -1],\n [0, -2, 4, 4],\n [3, -2, 3, -3],\n [-1, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
625
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, -1, 0],\n [0, -2, -2, 3],\n [-1, -2, -4, 0],\n [0, 3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1335
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, -4, 1, -1],\n [-2, 3, 0, -2],\n [3, 3, 2, 3],\n [3, -2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
97
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, -2, 4],\n [-2, 1, 2, -2],\n [-2, 2, 4, 2],\n [4, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2086
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 1, 2],\n [-2, -2, 2, 2],\n [1, 2, 2, -2],\n [2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2981
|
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, 1, 3],\n [3, 0, -4, 0],\n [0, -3, 2, 3],\n [-1, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1058
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, -4, -1, 3],\n [-1, 3, 3, -4],\n [-3, -4, -2, -4],\n [1, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-384
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, -4, -2],\n [3, -2, 4, 4],\n [-4, -1, -4, 4],\n [2, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1762
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, -3],\n [-4, 3, 1, -3],\n [3, -4, 2, -1],\n [-3, 3, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
580
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, 0, 3],\n [-1, 2, 1, -1],\n [-4, 4, -1, 4],\n [0, -4, -3, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 1, 4, -2],\n [2, 3, 2, 4],\n [-2, 4, 2, 4],\n [-2, 2, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16259
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[3, -3, -1, 1],\n [-1, 3, -3, 1],\n [1, -3, 0, 3],\n [-1, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
146
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, -4, -1],\n [-4, 3, 2, -2],\n [3, 4, -3, 1],\n [-4, -1, 4, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-262
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, -1, -1, 0],\n [-1, -2, 4, 1],\n [-1, 4, -2, -2],\n [0, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
934
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -3, -4, 3],\n [2, 3, 0, -4],\n [2, 4, -4, -4],\n [-3, 4, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1797
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, 4, 2, 0],\n [1, -4, -1, 3],\n [2, -4, -1, -3],\n [3, 1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-222
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 4, 1, 2],\n [1, -3, -3, 2],\n [-1, 4, 0, -2],\n [1, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
240
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[2, 1, 2, -3],\n [1, 4, 4, 2],\n [2, 4, -1, 0],\n [-3, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, -2, -2],\n [4, -3, -4, 4],\n [2, 1, -3, 0],\n [1, -1, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1215
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 4, -3, 2],\n [4, 1, 2, 0],\n [-3, 2, 0, 3],\n [2, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1545
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 4, 1, 2],\n [4, -2, -3, -4],\n [3, -4, 4, -3],\n [-3, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
172
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -3],\n [1, -3, 1, 2],\n [3, 1, 1, 3],\n [-4, 1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-68
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -2, 4],\n [0, -1, -2, -1],\n [-2, -2, -2, -2],\n [4, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-332
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, 1, -2, -2],\n [1, 0, 0, 1],\n [-2, 0, 0, -2],\n [-2, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
225
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -2, 2],\n [0, 3, 0, 2],\n [-2, 0, 3, 0],\n [2, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2330
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, -3, -2],\n [-1, 1, -2, 3],\n [-2, 4, -2, 3],\n [1, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2884
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 0, 1],\n [0, -3, 0, -3],\n [0, 0, 1, 3],\n [1, -3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
276
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-3, -2, -3, 2],\n [0, -4, -1, -1],\n [0, -1, -1, 1],\n [-4, -4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
654
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 1, 3],\n [0, 1, -2, 1],\n [1, -4, -3, 2],\n [1, 4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -1, -3, 1],\n [-1, -4, 2, 1],\n [-3, 2, -3, -2],\n [1, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6615
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 2, 1],\n [0, -2, -2, 2],\n [2, -2, 3, 0],\n [1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2074
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 1, -2, 3],\n [0, -1, 0, 0],\n [2, 3, -2, 1],\n [-3, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
186
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 4, 1],\n [0, -2, 1, -4],\n [-1, 3, -4, -1],\n [1, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, 1, -2],\n [0, 0, -4, 0],\n [-1, -4, -2, 3],\n [-2, 2, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
658
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 0, 0],\n [2, 3, -2, 1],\n [0, -2, -2, 0],\n [0, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
384
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, 0, 0, 0],\n [0, 4, 4, -1],\n [0, 4, 2, 1],\n [0, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 0, 2, 0],\n [0, -3, -2, 0],\n [2, -2, -4, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-67
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, 4, -2],\n [-2, -1, -3, 3],\n [3, -2, -3, 2],\n [-1, 4, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 4, 4],\n [2, 1, -4, -4],\n [0, 0, 4, -4],\n [-1, -3, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4689
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -2, 2],\n [-4, -4, -1, 1],\n [-4, -1, 1, 2],\n [-1, 3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-126
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 0, 2],\n [-2, 4, -2, 3],\n [-1, 1, -1, 4],\n [2, 4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
274
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-1, 1, 0, -1],\n [1, 0, -2, 2],\n [0, -2, -3, -4],\n [-1, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, 2, 0],\n [1, 1, 0, -2],\n [2, 0, 4, -2],\n [0, -2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -4, 0, -1],\n [0, -3, 1, 2],\n [-4, 3, 3, -4],\n [3, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
481
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, 3, -1, 0],\n [-2, 3, 4, 1],\n [-3, 0, 2, -3],\n [3, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 2, 2, 0],\n [2, 4, -1, 0],\n [2, -1, 4, -1],\n [0, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1593
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, -1],\n [4, 4, -3, 1],\n [0, -1, -3, 2],\n [2, -1, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
473
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, -2],\n [-2, 2, 0, -2],\n [0, 0, 0, 2],\n [-2, -2, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3069
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, 2, 0],\n [-2, 1, 2, 4],\n [2, 2, 1, -4],\n [0, 4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1348
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[0, -1, 1, 2],\n [1, -2, -3, 4],\n [-2, 1, -2, 3],\n [0, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-43
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 3, 2],\n [4, -1, 4, 2],\n [0, 1, 3, 2],\n [-4, -4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
572
|
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, 2, 4],\n [2, -2, 0, 0],\n [1, 4, -3, 1],\n [3, -3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1357
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[0, -4, -4, 3],\n [4, 2, -4, 2],\n [-3, 3, -1, 0],\n [-4, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
316
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-3, 3, -2, 1],\n [1, 3, 2, -2],\n [-3, 3, 0, -2],\n [0, 1, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, 4, 0],\n [4, 1, 4, -3],\n [-2, 4, 1, -1],\n [-1, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
215
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2, 3],\n [-3, 0, 2, -4],\n [2, 4, -2, -2],\n [3, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -1, -1, -4],\n [-3, 3, 3, -2],\n [4, -3, -2, 3],\n [-3, 3, 1, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 1, 2],\n [1, 3, 0, 1],\n [1, 0, -3, 0],\n [2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
383
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, -1, -2],\n [4, -3, -2, 2],\n [-1, -2, 0, 2],\n [-2, 2, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19740
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 1, 2],\n [-2, 4, -3, -1],\n [-2, 2, 1, 4],\n [-3, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2051
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, -1, -2],\n [1, 2, -1, 3],\n [-1, -1, 2, -3],\n [-2, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
994
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 1, 2],\n [2, 3, 0, 2],\n [1, 0, -1, -2],\n [2, 2, -2, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
426
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, 2, -3],\n [2, 4, -1, 0],\n [2, -4, 2, 4],\n [3, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 0, 3],\n [-1, 3, -4, 2],\n [-3, -3, 4, 1],\n [-1, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
160
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 4, 1, -2],\n [2, 1, 4, 4],\n [-4, 4, -2, 4],\n [4, 2, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13067
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 3, 0, 0],\n [-1, -2, -3, -4],\n [-1, -2, -1, -4],\n [0, -4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-762
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 1, 2],\n [1, 3, 2, -3],\n [-2, -1, 1, -2],\n [2, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-57
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, -3, -1],\n [-1, 4, 0, -3],\n [-4, 0, -2, 2],\n [-2, 3, -1, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, -2],\n [0, 0, 2, -3],\n [2, 2, -4, 2],\n [-2, -3, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1993
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 1, 3],\n [2, -1, 1, -2],\n [1, 1, 4, 0],\n [3, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10888
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -4, 2],\n [0, 1, -3, 2],\n [-2, 0, -1, 0],\n [3, 4, 4, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
406
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 4, -4],\n [-1, 3, 0, 3],\n [3, 3, -3, -1],\n [-1, 1, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1001
|
MATH
|
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