messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[3, 2, -3, 1],\n [2, 0, 4, 0],\n [-3, 4, 1, 1],\n [1, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
102
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, -1, 3],\n [0, 4, 0, -1],\n [-1, 0, -2, -2],\n [3, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1402
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 2, 1],\n [-3, 3, -3, -2],\n [0, 2, 1, -2],\n [3, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
698
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -2, 3],\n [2, 4, 0, 1],\n [-2, 0, -1, 0],\n [3, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1594
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 1, -2],\n [0, -1, -2, 3],\n [2, -1, 4, 0],\n [0, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
265
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, -4, 3],\n [0, 2, 4, -4],\n [-1, 1, 2, -3],\n [2, -1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[0, 2, 1, 1],\n [0, 4, 4, -3],\n [3, 1, 0, 2],\n [-3, -4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, 2, 2],\n [3, -4, -1, 4],\n [-1, 4, 1, 2],\n [3, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3244
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 4, 3],\n [3, 2, -2, 0],\n [-3, 4, 4, 1],\n [1, 1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
917
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 0, 0],\n [-2, 2, -4, -2],\n [0, -4, 4, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1219
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 0],\n [2, 0, 0, 2],\n [-2, 0, 1, 0],\n [0, 2, 0, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[3, 4, 2, -2],\n [4, -4, 2, -1],\n [2, 2, -2, 1],\n [-2, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -3, 2],\n [3, -1, 0, 1],\n [-3, 2, 2, -2],\n [1, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4656
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -1, -4, 4],\n [2, -2, 3, -4],\n [-3, -1, 1, 3],\n [3, -3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
258
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, 4, 2],\n [0, 4, 0, 0],\n [4, 0, -4, 2],\n [2, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 0],\n [0, 0, 0, -1],\n [0, 0, 3, 0],\n [0, -1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
84
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-1, 4, 4, -2],\n [2, 2, 0, 1],\n [0, -1, 0, -4],\n [0, 1, -1, 0]]\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 (4, 4) of the result:\nA =\n[[3, 0, 4, -1],\n [-4, -2, -4, 1],\n [3, -2, -3, 0],\n [-2, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, 0, 2],\n [-1, -3, -1, -2],\n [0, -1, -3, 2],\n [2, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3263
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 4, 2],\n [-3, -4, -3, 2],\n [4, -3, -1, -4],\n [2, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2276
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, 0, 4],\n [3, 2, 2, -3],\n [2, 4, 0, 0],\n [-1, 2, -3, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, -2, -1, 3],\n [4, -2, -3, 3],\n [-3, 0, -4, -4],\n [-1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
453
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 1, 0, 2],\n [1, -3, -2, 2],\n [0, -2, 0, -2],\n [2, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 2, 1],\n [-1, -1, 0, -3],\n [2, 0, -1, -3],\n [4, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 0, 2],\n [1, -4, -1, 0],\n [0, -1, 2, 3],\n [2, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, -1, 1],\n [-2, 4, 0, -2],\n [-1, 0, 4, 1],\n [1, -2, 1, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -3, -4],\n [0, -4, -2, -2],\n [-3, -2, -2, 0],\n [-4, -2, 0, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1281
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, 1, 2, 0],\n [-1, -1, 2, -1],\n [3, -4, 4, 0],\n [4, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
302
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, -4],\n [-4, 1, -2, 0],\n [2, -4, -1, 0],\n [0, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5470
|
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, 2, 0],\n [1, 3, 0, -2],\n [2, 0, 3, -1],\n [0, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
444
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -1, 0, -2],\n [-3, 1, -2, 3],\n [1, 4, 2, 1],\n [4, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[4, 2, -1, 4],\n [2, 4, 1, -1],\n [-1, 1, 1, 2],\n [4, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -1, -1],\n [-2, 0, -3, 1],\n [-3, -2, 4, 0],\n [4, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
523
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, 0, 3, 1],\n [0, 2, -3, -2],\n [3, -3, -2, 0],\n [1, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
65
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, -3, -1],\n [2, 3, 4, -1],\n [-3, -2, -2, -3],\n [-4, -1, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6919
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2, 1],\n [2, -1, 2, -3],\n [2, 2, -4, 4],\n [1, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-3, 0, 2, 2],\n [0, -4, -1, -4],\n [2, -1, 2, 2],\n [2, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, -2, -4],\n [0, 3, 3, -3],\n [-3, 3, 3, 3],\n [-1, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14247
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, -3, 0],\n [4, 0, 2, 2],\n [-2, -2, 4, -2],\n [1, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1390
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -1, 3],\n [0, 3, 0, -2],\n [-1, 0, -4, 2],\n [3, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 0, 1, -3],\n [-3, -3, 0, -1],\n [-2, -3, -4, 3],\n [-1, 2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
70
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 1, -2],\n [1, 4, 1, -4],\n [0, 0, 3, 3],\n [2, 2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
170
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[1, 2, 2, 2],\n [2, 4, 2, -2],\n [2, 2, -2, 0],\n [2, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, 2, 0],\n [-2, -2, 0, 0],\n [2, 0, -3, 0],\n [0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, -1, -4, -3],\n [-1, 1, -2, 1],\n [-4, -2, 1, 2],\n [-3, 1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -4, 4, 0],\n [4, 1, 4, 4],\n [4, -2, 0, 2],\n [0, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 0, 4, -2],\n [1, 0, -2, -4],\n [2, 4, -3, 3],\n [3, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-170
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 0, 3],\n [2, 0, -2, 0],\n [0, -2, -2, -4],\n [3, 0, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6888
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, 3, 3],\n [1, 2, 4, 1],\n [-2, 2, -3, -3],\n [0, -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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -2, -1],\n [0, -3, -2, 0],\n [-2, -2, 1, -2],\n [-1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
308
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, -2, -2],\n [1, 1, -2, 1],\n [-2, -2, -2, -3],\n [-2, 1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
774
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 3, -3],\n [-1, 4, -2, -1],\n [-3, -4, -4, 1],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
276
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, 0, -3],\n [1, 3, 4, -1],\n [-2, -1, -2, -1],\n [-2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3629
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, -4, 4],\n [2, -4, -1, 0],\n [-1, 4, 4, 2],\n [3, -3, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5212
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, -2, 4],\n [4, -1, -4, 3],\n [2, 2, -1, -3],\n [-4, 1, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-933
|
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, -1, 2, 1],\n [1, 2, 0, 3],\n [0, 1, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2504
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[2, -2, 0, 0],\n [-2, 4, -1, -2],\n [0, -1, -1, -1],\n [0, -2, -1, -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, 3, 1, 2],\n [3, 2, 0, 0],\n [1, 0, -1, 0],\n [2, 0, 0, 4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
111
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, 0, 1],\n [1, 2, -3, -2],\n [0, -3, 0, -3],\n [1, -2, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-232
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-1, -2, 3, -4],\n [0, 1, -4, 4],\n [1, 1, 1, 3],\n [1, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-144
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 4, 4, -2],\n [1, -3, 0, 0],\n [-3, 4, 4, -3],\n [2, -4, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-148
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-1, 4, -1, 1],\n [-4, 3, 4, -4],\n [-1, -3, -3, 4],\n [-4, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[0, -3, -2, 0],\n [-2, 0, 3, -2],\n [-4, -3, 0, 4],\n [-1, -2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-202
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, -2, -3, 0],\n [-2, 0, -4, -2],\n [-3, -4, 4, -1],\n [0, -2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
246
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, 2, -2],\n [3, -4, -1, 1],\n [2, -1, 4, 0],\n [-2, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1212
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 1, 3, 4],\n [-1, -3, -4, -1],\n [1, -1, 3, -3],\n [4, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 0, -1],\n [0, -4, -2, 0],\n [0, -2, -1, 0],\n [-1, 0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-219
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[2, -4, 3, 0],\n [-3, 3, 4, 1],\n [0, 3, -2, -1],\n [1, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-229
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 2, 3],\n [-4, 1, 4, -1],\n [-1, 0, 4, -3],\n [-1, 2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
717
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, 2, -2],\n [-1, -1, 4, 1],\n [2, 4, -2, 0],\n [-2, 1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
129
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, -2, 0],\n [2, -2, 4, 4],\n [-2, 4, 4, -4],\n [0, 4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19920
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-4, 0, 2, -2],\n [0, -4, 2, 0],\n [2, 2, 3, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, 0, -2, 0],\n [0, -3, -1, 0],\n [-2, -1, -4, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, -1, -4, 1],\n [-2, 1, -4, 0],\n [3, 2, -3, -1],\n [1, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
95
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-2, 3, 0, 1],\n [3, -4, -3, 3],\n [3, -4, -2, -2],\n [1, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2407
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 1, 0, 2],\n [1, -1, -1, -2],\n [0, -1, -3, 2],\n [2, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1828
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -4, 4],\n [-2, -4, -4, -4],\n [-1, 2, 3, -1],\n [-2, 1, -4, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, -3, 2],\n [1, 0, -2, -3],\n [4, 0, -4, -3],\n [-3, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-167
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 0, 4, 2],\n [0, 1, 0, 0],\n [4, 0, 3, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-1, -3, 2, -1],\n [3, 4, -4, 3],\n [1, 4, 3, -4],\n [0, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-577
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-2, -2, 1, 3],\n [-2, -2, -1, 0],\n [1, -1, 3, 0],\n [3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-57
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, 2, 4],\n [-1, 3, -1, 1],\n [-4, 4, 3, -2],\n [2, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3584
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 0, -2],\n [2, -3, -3, 0],\n [0, -3, 0, 1],\n [-2, 0, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3752
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -2, 0],\n [2, 2, -2, 0],\n [-2, -2, -1, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-1, 2, 1, 1],\n [-2, 4, 0, 4],\n [-3, -2, 1, -4],\n [-4, 2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-702
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[0, -3, 4, 4],\n [0, 3, -3, 1],\n [2, -3, -1, 3],\n [4, 1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
168
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, -2, 1],\n [0, 1, 2, 1],\n [-4, -1, 1, -1],\n [2, -1, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, 2, 4, 1],\n [-3, -4, -3, -4],\n [-1, 3, -2, 2],\n [-2, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-129
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, -2, 0],\n [2, -3, -2, 0],\n [-2, -2, -4, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2147
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -4, 3],\n [3, 2, -1, -4],\n [4, -2, 1, 3],\n [-3, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-183
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 0, 1],\n [1, 4, -2, -2],\n [0, -2, -4, 2],\n [1, -2, 2, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-41
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, 1, 2],\n [-1, 3, -3, -1],\n [0, -1, -2, 2],\n [-3, -2, 4, 2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -2, -4],\n [0, 2, 4, 4],\n [-4, 0, 0, -4],\n [-4, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14064
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -1, -2],\n [2, 4, 0, 0],\n [-1, 0, 1, 1],\n [-2, 0, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
247
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, -4, 3],\n [-1, -3, -4, 4],\n [1, 0, 3, 3],\n [4, -2, 1, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -3, -4],\n [0, -3, -2, 1],\n [-3, -2, 4, -2],\n [-4, 1, -2, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
193
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[2, -2, -2, 0],\n [-2, -2, 2, -2],\n [-2, 2, -4, 3],\n [0, -2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
70
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, 0, -4],\n [-2, 2, -4, 0],\n [0, -4, 3, 1],\n [-4, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1590
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 4, 0],\n [0, 4, -2, 2],\n [4, -2, 0, 0],\n [0, 2, 0, -3]]\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, -4, -2, -2],\n [-4, 3, 2, -4],\n [-2, 2, 4, 2],\n [-2, -4, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3918
|
MATH
|
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