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 absolute values of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, 4, 2, 3],\n [-2, 2, 1, -1],\n [0, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1008
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 2, -2],\n [-2, -4, -2, 0],\n [2, -2, -1, -2],\n [-2, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
907
|
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, 1, 2],\n [0, -1, -2, -3],\n [1, -2, -3, 2],\n [2, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7302
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 1, 1, 0],\n [-3, 1, 3, -2],\n [-3, -3, -4, 0],\n [0, -1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, 3, 2, 1],\n [-3, 0, -1, 3],\n [3, -2, 2, -3],\n [-4, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 4, 3, 0],\n [4, 0, -2, 0],\n [3, -2, 4, 0],\n [0, 0, 0, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -1, 1],\n [0, -3, -1, 2],\n [-1, -1, -2, 0],\n [1, 2, 0, -3]], 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^3 and find the value at position (3, 4) of the result:\nA =\n[[1, -4, -1, 2],\n [-4, -1, -4, 0],\n [-1, -4, -4, 0],\n [2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[1, -4, 0, 3],\n [0, -4, 3, 1],\n [-4, -4, 2, -1],\n [-1, 4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-35
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, -1, -4],\n [3, -4, -1, 4],\n [-3, 4, 4, 4],\n [3, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10087
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[0, -2, 1, 0],\n [4, 3, -3, 0],\n [4, -3, 1, -3],\n [4, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
300
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, -1, 2, -2],\n [-1, 2, -1, -2],\n [2, -1, 0, 1],\n [-2, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
265
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[4, 2, -1, -1],\n [2, -4, -2, -2],\n [-1, -2, 1, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-397
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 4, -2],\n [-3, 1, -2, 4],\n [0, 4, -3, -4],\n [4, 1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9871
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, 2, 0],\n [-4, 1, 1, -4],\n [2, 1, -3, -2],\n [0, -4, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12549
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, -4, -4],\n [1, 4, -3, -2],\n [-4, 1, -2, 0],\n [3, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3522
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -3, -1, 2],\n [1, 4, 2, -2],\n [-1, -4, -3, 0],\n [3, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
207
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 2, -1],\n [0, -1, -2, 0],\n [2, -2, 4, 2],\n [-1, 0, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
599
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 2, -1],\n [0, -4, 0, 0],\n [2, 0, 2, -2],\n [-1, 0, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3877
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -4, -3, -3],\n [0, 1, 4, -3],\n [0, 3, 4, -3],\n [3, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1474
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, 4, -4, -3],\n [-2, 2, 0, -1],\n [-3, 2, 0, -4],\n [3, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
287
|
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, 3, 2],\n [1, -4, -2, -2],\n [4, 1, 0, 0],\n [3, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1191
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -2, -1],\n [2, 0, 1, 1],\n [-2, 1, 2, 1],\n [-1, 1, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
468
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -3, -1],\n [0, 1, 4, 3],\n [1, 3, -2, -4],\n [0, 2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1160
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 0, 2],\n [0, 1, 0, 0],\n [0, 0, 3, 1],\n [2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
246
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, 0, 1, -4],\n [4, 2, 3, -3],\n [1, -2, -3, -3],\n [1, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-4, 0, 4, -2],\n [3, 3, 3, 1],\n [1, -3, -2, -3],\n [4, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
425
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0, -3],\n [4, -1, 2, 4],\n [-1, 1, 2, 1],\n [-1, 1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
290
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[0, 4, -1, 3],\n [-4, 3, -1, 1],\n [0, 0, 2, 0],\n [-1, -3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
186
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 3, -2, 3],\n [-4, 1, -2, 2],\n [0, -1, 4, -4],\n [-2, 4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-113
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 0, -4],\n [-4, -2, 3, 3],\n [4, 3, 1, -3],\n [-4, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19782
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -4, 1],\n [1, -3, 1, -1],\n [-4, 1, 3, 1],\n [1, -1, 1, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-125
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 1, 1],\n [0, -2, 2, 2],\n [1, 2, -3, 1],\n [1, 2, 1, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, -4, 1],\n [-3, -4, 0, 0],\n [-4, 0, -4, 0],\n [1, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1089
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 3, -1],\n [-2, 3, 2, 1],\n [1, -4, 1, 3],\n [3, -4, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-144
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, 3, -1, -3],\n [0, -3, 4, -3],\n [-1, 0, 4, 0],\n [1, 0, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
113
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -3, -4, 4],\n [-3, 4, 3, 1],\n [-2, 4, 0, 2],\n [4, -3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-786
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, 0, 0, 2],\n [0, 2, -2, -1],\n [0, -2, -2, 2],\n [2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-2, 2, 0, -1],\n [-4, 1, 0, 2],\n [-3, 1, 2, 4],\n [0, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, 1, 3, 3],\n [-2, -4, 1, 1],\n [-4, 1, -2, -1],\n [1, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
136
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 0, -3],\n [-2, 3, 0, 0],\n [3, -2, 2, 4],\n [0, -2, -3, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-9
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 3, -4, 3],\n [-4, 0, -2, 1],\n [0, 1, 0, 3],\n [3, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
288
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 4, 0, -2],\n [4, 2, 0, -3],\n [0, 0, 1, 1],\n [-2, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2378
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, -3, 2],\n [-3, 0, -2, 0],\n [4, 1, 0, -2],\n [-3, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
748
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-4, 0, 0, 0],\n [0, -2, -2, 0],\n [0, -2, 4, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, 2, -4],\n [-4, 3, 2, 0],\n [-3, 4, 2, 3],\n [-4, -1, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16221
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-4, 4, -2, 2],\n [4, -2, -3, -3],\n [-2, -3, -4, -1],\n [2, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
884
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -4, -4],\n [-3, 2, 1, 3],\n [-3, 4, 0, 0],\n [-4, -1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1167
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, 1],\n [0, -1, -3, 0],\n [0, -3, 3, -2],\n [1, 0, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4462
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, -1, 4],\n [2, 0, -3, -1],\n [-2, 1, 3, -1],\n [2, 4, 2, -1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 0, 1],\n [-1, -1, -2, 0],\n [2, -4, 2, 4],\n [2, 3, -4, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-9
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, -2, -2],\n [-2, -1, -2, 2],\n [-2, -2, 0, 0],\n [-2, 2, 0, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
348
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[0, -2, 3, 1],\n [-1, 1, 3, -3],\n [4, 2, 2, -3],\n [1, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
293
|
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, 4, 4],\n [0, -2, 0, 2],\n [4, 0, -4, -2],\n [4, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1766
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 0, 0],\n [-1, -1, 2, 4],\n [-2, 2, 3, -2],\n [0, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-69
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, -4, 0],\n [0, 0, 3, -1],\n [4, -3, -4, 0],\n [2, 1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
580
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 0, -1],\n [-2, -1, -1, 4],\n [-1, -1, -3, 3],\n [4, -1, -4, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
79
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 2, 2],\n [2, -4, -2, -1],\n [2, -2, -1, 3],\n [2, -1, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
488
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 4, 3],\n [2, -1, 0, 2],\n [4, 0, 3, 0],\n [3, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4972
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-1, 0, 2, -4],\n [0, 1, -1, -2],\n [2, -1, 1, -2],\n [-4, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
172
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 0, 0],\n [0, 2, -2, 1],\n [0, -2, -2, -2],\n [0, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-340
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, -2],\n [0, 4, 0, -2],\n [-2, 0, 1, -2],\n [-2, -2, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1257
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 0, -1],\n [0, 3, 0, 4],\n [0, 0, -3, 2],\n [-1, 4, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5395
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 2, 3],\n [-1, -3, -1, -1],\n [3, 0, 4, -1],\n [2, 1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
663
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -2, 1],\n [2, 0, 2, 2],\n [-2, 2, -2, 1],\n [1, 2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2487
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-3, 0, -1, 3],\n [-2, -3, -2, 0],\n [-3, -1, -2, 0],\n [1, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-246
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -2, -3],\n [0, 2, -2, 2],\n [-2, -2, 1, 0],\n [-3, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -4, 0],\n [-2, -2, 0, 2],\n [-4, 0, -3, -4],\n [0, 2, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7286
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 0, 2],\n [0, -3, -4, 0],\n [0, -4, -3, 2],\n [2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1085
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, 0],\n [2, 0, 2, -4],\n [0, 2, 4, -3],\n [0, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
324
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -3, -2, -1],\n [-3, -2, 0, -1],\n [-2, 0, -3, 2],\n [-1, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2916
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 0, 0],\n [0, -3, -3, 1],\n [0, -3, 2, 3],\n [0, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
155
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 0, 1],\n [2, -4, 1, -1],\n [0, 1, 1, 0],\n [1, -1, 0, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-153
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 4, -4],\n [-1, -3, -1, 0],\n [2, 3, 0, 0],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 0],\n [2, -3, -2, 2],\n [0, -2, 0, -1],\n [0, 2, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
740
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 0, -1],\n [0, -2, 0, 0],\n [0, 0, -1, 2],\n [-1, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2110
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 0, 0],\n [2, 1, -3, -4],\n [0, -3, 1, -3],\n [0, -4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-530
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 2, 0],\n [2, 0, 4, 3],\n [2, 4, 4, 2],\n [0, 3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2987
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 0, 4, 1],\n [0, -1, 4, -4],\n [2, -2, -2, -1],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
292
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, -4, -1],\n [-4, -1, -3, -2],\n [-4, -2, 4, -4],\n [-1, -3, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-195
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, 0, -4],\n [3, 0, -2, 0],\n [0, -2, -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"
}
] |
470
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, 3, 2],\n [-3, 4, 4, 4],\n [-3, 0, 0, -4],\n [-3, -4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1294
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, 3, 1, 4],\n [3, -1, 1, -4],\n [1, 1, 1, 0],\n [4, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -2, 0, 2],\n [-2, 2, 2, -2],\n [0, 2, -2, -1],\n [2, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-2, 3, 0, 0],\n [3, 3, 1, -2],\n [0, 1, -2, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, 2, 2],\n [2, -4, 1, 3],\n [4, 3, 1, -4],\n [2, 3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
196
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, 2, -1, -2],\n [2, -3, -4, -2],\n [4, -4, -4, -2],\n [-1, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 4, 1],\n [-4, 4, 0, -2],\n [4, 0, -4, 0],\n [1, -2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 0, -2],\n [-2, 3, 0, 2],\n [0, 0, 2, -3],\n [-2, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-539
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -2, 1],\n [2, -3, 0, 0],\n [-2, 0, -3, -2],\n [1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
414
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, 2, -2],\n [0, 0, -2, 0],\n [2, -2, 4, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2880
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-4, -2, 3, 0],\n [4, -3, -2, 2],\n [2, 2, 1, 1],\n [-2, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, -1, 3],\n [-2, 0, -3, -3],\n [1, -1, 4, -1],\n [3, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 3, -3],\n [1, -2, 3, -2],\n [1, -1, 1, 1],\n [-3, 3, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, 1, -4],\n [4, 0, -3, -1],\n [-2, -1, 1, 3],\n [2, 4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, -1],\n [3, -2, 1, -2],\n [1, 2, 4, 1],\n [-3, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
723
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -3, -4],\n [1, -1, 1, 2],\n [0, -2, -1, -2],\n [-3, 1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1242
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, -3, 1, 0],\n [-3, 1, 1, -2],\n [1, 1, 0, -3],\n [0, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-57
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -1, 3],\n [2, -2, -3, 0],\n [-1, -3, 0, -2],\n [3, 0, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10218
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, -2, -4],\n [1, 4, -2, -4],\n [-2, -2, 3, 3],\n [-4, -4, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33262
|
MATH
|
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