messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 2, -2],\n [-2, 1, 1, 0],\n [1, 1, 1, -3],\n [3, -3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-47
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -4, -4],\n [-1, -2, 0, 0],\n [2, 2, 2, 3],\n [0, 2, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-535
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, 4, 3],\n [4, -4, 0, -2],\n [2, -4, 3, 0],\n [1, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2540
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 4, -2, -3],\n [-4, 3, 2, 2],\n [2, 2, 2, -4],\n [-1, 4, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4541
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, 0, -1, 3],\n [4, -4, -1, -2],\n [1, 2, 3, 3],\n [4, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-19
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[3, -2, -1, 0],\n [-2, 1, -2, 0],\n [-1, -2, 2, 3],\n [0, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
279
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, -1, 2],\n [0, -3, 0, 0],\n [-1, 0, 2, 2],\n [2, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1996
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, 2, -1],\n [2, 1, -1, 3],\n [-3, 1, -2, -3],\n [3, -4, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1212
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 1, -2, -4],\n [1, 0, 1, -2],\n [-2, 1, 2, -3],\n [-4, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, 4, 0],\n [-2, 0, 0, -3],\n [2, 0, -1, -1],\n [-1, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 4, 4],\n [0, 2, 0, -1],\n [4, 0, 1, -2],\n [4, -1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1052
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-3, 1, 2, 4],\n [1, -2, 4, 2],\n [2, 4, 3, 1],\n [4, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
136
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, -3],\n [-2, 3, -4, -2],\n [0, -4, 4, 0],\n [-3, -2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-571
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 4, 0, 0],\n [4, -4, 1, 2],\n [0, 1, 1, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
544
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 0, 2],\n [0, 1, 4, 0],\n [0, 4, -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"
}
] |
1294
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, 0, -1],\n [3, 1, -1, 1],\n [0, -1, 3, 2],\n [-1, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1068
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, 0, -2, -1],\n [0, 2, 1, 2],\n [-2, 1, 2, 2],\n [-1, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
589
|
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, 0, -2],\n [4, 2, 2, -4],\n [-1, -3, -4, -2],\n [-4, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7486
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, 0],\n [2, 3, 2, 2],\n [1, 2, 1, 0],\n [0, 2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2631
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, -4, 4],\n [2, 3, 0, -4],\n [3, -2, 4, -1],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
409
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, -2, 0],\n [-2, 2, 1, -2],\n [4, 0, 0, 0],\n [1, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1464
|
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, 0],\n [3, -1, -2, -1],\n [-2, -2, 0, 0],\n [0, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3906
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -2, 0],\n [-2, 2, 2, -4],\n [3, -4, -3, 2],\n [3, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1412
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 1, 3],\n [2, -4, 0, 0],\n [1, 0, -2, -2],\n [3, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
513
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, 2, -4, -2],\n [4, -3, 3, 3],\n [-2, 3, 2, -3],\n [1, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1058
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -2, 3],\n [0, -4, 0, -2],\n [-2, 0, -1, -2],\n [3, -2, -2, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-112
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-1, 2, 4, 4],\n [-3, 3, -1, 4],\n [-2, 2, 2, 2],\n [-3, -3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
110
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[1, 0, 0, 1],\n [0, -3, 2, -4],\n [0, 2, -3, 2],\n [1, -4, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-216
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 0, 2],\n [-2, -3, -3, 0],\n [0, 1, -3, 0],\n [-4, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
256
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -1, 2, -4],\n [0, 2, -4, 0],\n [3, -1, 2, 1],\n [-4, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[0, -4, -4, -3],\n [-4, 1, 4, 4],\n [3, 1, 4, -4],\n [-4, 4, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
668
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[4, -3, 0, -4],\n [-2, 3, 1, -2],\n [-4, -3, 0, -3],\n [1, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
692
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, 2, 2, -2],\n [2, 0, 2, 3],\n [2, 2, -3, 0],\n [-2, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -2, 0],\n [2, -3, 4, -3],\n [-2, 4, 1, 0],\n [0, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-99
|
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, 1, -1],\n [-2, 4, 4, 2],\n [1, 4, -1, 0],\n [-1, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
928
|
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, -4, 0],\n [1, -3, 2, 0],\n [-4, 2, -2, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9209
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, 0, 3],\n [-2, 3, -2, -4],\n [0, -2, -3, 1],\n [3, -4, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1568
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 3, -2],\n [0, 0, -4, 0],\n [3, -4, 0, 0],\n [-2, 0, 0, 4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-456
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -3, -1],\n [-4, -3, 0, 3],\n [1, 3, -2, 3],\n [4, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1859
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, -4, 4, 1],\n [4, 1, -4, 4],\n [-3, -1, -4, -2],\n [-3, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-568
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, -1, 0, -2],\n [-1, -4, 1, 0],\n [0, 1, 1, 2],\n [-2, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, -1, 4],\n [0, -4, 1, 3],\n [-1, 1, -4, 3],\n [4, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18195
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 3, -4],\n [3, 3, 1, 3],\n [-4, -1, -3, 2],\n [2, -4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
332
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 4, -4, -4],\n [-4, -4, 3, 1],\n [-1, -2, 3, -2],\n [0, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-655
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 1, -2],\n [0, -1, 0, 0],\n [1, 0, -1, -2],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-352
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[4, 1, 3, 4],\n [1, 0, 0, 0],\n [3, 0, -3, -1],\n [4, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 3, 3],\n [1, -3, -2, 3],\n [0, 0, 4, 3],\n [-3, 2, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-549
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, -1, 2, -4],\n [-1, 3, -2, 0],\n [2, -2, 0, 3],\n [-4, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-110
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 1, -4, -1],\n [-3, -3, 0, 1],\n [-2, 3, 1, 0],\n [-1, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
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, -3, -2],\n [4, -3, 1, -4],\n [4, -2, 0, -3],\n [-1, -1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
642
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -3, 4, 0],\n [2, -3, 2, -3],\n [2, -2, 1, 1],\n [0, 4, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
564
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, 0, 0],\n [2, 1, -1, 0],\n [0, -1, 4, -2],\n [0, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1633
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -2, -2],\n [3, 0, 3, -1],\n [-4, 2, 4, -1],\n [-2, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-188
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, -2, 0],\n [1, 3, -4, 3],\n [4, 2, 0, -3],\n [2, -1, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
676
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 0, -2],\n [0, 0, -2, 0],\n [0, -2, 2, -2],\n [-2, 0, -2, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
258
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, -2, 0],\n [2, 3, 3, 2],\n [-2, 3, -4, -2],\n [0, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
411
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 1, 0, -3],\n [0, 1, -2, 0],\n [4, 1, 0, 0],\n [-2, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-87
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 3, -4],\n [2, 2, 1, -4],\n [2, 1, 4, -2],\n [4, 3, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2394
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 3, 2],\n [0, -2, -3, 0],\n [3, -4, -4, 4],\n [-4, 2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
838
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -2, -2],\n [2, 3, -4, 2],\n [2, -3, 1, -3],\n [4, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
819
|
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, -2, -4],\n [2, 2, 0, 2],\n [4, 3, -3, 4],\n [4, 3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7194
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 4, 1],\n [-2, -4, -2, -4],\n [4, -2, 0, -3],\n [1, -4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1617
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 1, -2],\n [2, -4, -2, 1],\n [1, -2, -3, 2],\n [-2, 1, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1138
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, -2, -4],\n [-2, -1, 2, -3],\n [-2, -1, 3, 2],\n [4, -4, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, 2, 0],\n [-2, 3, -4, -3],\n [2, -4, 1, -1],\n [0, -3, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1521
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, 1, 1, -4],\n [-2, -3, -2, 3],\n [3, 4, -2, -2],\n [2, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, 0, -4],\n [0, -4, 0, 0],\n [0, 0, -1, -2],\n [-4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1256
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -1, -1, -4],\n [-1, -2, 0, 3],\n [-1, 0, 0, 0],\n [-4, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
637
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 4, -1, 1],\n [2, -1, 3, -3],\n [-2, 2, 3, 0],\n [2, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
443
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[3, -4, 3, 1],\n [-2, 3, 4, -2],\n [-4, 1, 2, 4],\n [1, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
162
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, 0, 0],\n [1, 1, -1, -3],\n [0, -1, 0, 1],\n [0, -3, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
293
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 1],\n [-2, -4, 2, 2],\n [3, 1, 4, -3],\n [1, -1, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-228
|
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, -2],\n [3, 3, 0, 2],\n [-2, 0, -4, 0],\n [-2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4200
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, -1, -1],\n [-4, -3, 4, 1],\n [1, 4, 3, -3],\n [3, 2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-106
|
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, -2, 0],\n [0, -1, 2, 2],\n [-2, 2, 1, -4],\n [0, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
966
|
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, 1, 0],\n [-2, 2, -2, -1],\n [1, -2, 4, 0],\n [0, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
854
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, -2, 3, 3],\n [-2, 0, -1, 3],\n [-2, 3, 3, 1],\n [1, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 0, 0],\n [2, 4, 0, -1],\n [0, 0, -3, -1],\n [0, -1, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
485
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-4, -2, 2, -1],\n [-2, -3, 0, 0],\n [2, 0, 1, 0],\n [-1, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
882
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, 0, 1],\n [2, 1, 0, -4],\n [0, 0, 3, 1],\n [1, -4, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
740
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, -2, 1],\n [4, 4, 1, -4],\n [3, 4, 0, 1],\n [-2, -4, 0, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1884
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 3, -4, 1],\n [2, 2, -4, -1],\n [-3, 2, 1, 1],\n [2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
852
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 0],\n [0, 0, 0, -3],\n [2, 0, -4, 2],\n [0, -3, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4178
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, -1],\n [-2, 3, -1, -2],\n [-1, -4, -2, 2],\n [2, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
592
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [2, 0, 0, 3],\n [0, 0, -1, 2],\n [0, 3, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4159
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, 1, -4],\n [2, 4, 2, 0],\n [1, 3, 1, 1],\n [2, -4, -1, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-158
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, 0, 1],\n [-4, 4, 2, -2],\n [0, 2, 4, 3],\n [1, -2, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11143
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, 1, -2],\n [2, 2, 2, 2],\n [1, 2, -4, 0],\n [-2, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1543
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, 1, -1],\n [-2, 0, 0, -2],\n [1, 0, 1, 2],\n [-1, -2, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
169
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, 0, 2],\n [-2, 2, 0, 0],\n [0, 0, 0, -2],\n [2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
658
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 0],\n [0, 3, -2, -2],\n [2, -2, 3, 2],\n [0, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
362
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 3, 4, 2],\n [-3, 1, 4, -3],\n [1, 1, -1, 3],\n [3, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2834
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, -1, -1],\n [2, 4, 4, 4],\n [2, 1, 1, 4],\n [4, -4, -2, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-506
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-3, -3, 0, -3],\n [-3, -2, 1, 4],\n [0, 1, 2, -4],\n [-3, 4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-105
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 2, -2],\n [1, 2, -1, 0],\n [2, -1, -3, 0],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-162
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[2, 0, -3, 4],\n [0, 4, 0, -4],\n [-3, 0, 0, -1],\n [-1, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
86
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[2, -1, 3, -1],\n [0, -4, 2, 2],\n [-2, -2, -4, 1],\n [3, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, -2, 2],\n [4, 2, 1, 2],\n [-2, 1, -4, -2],\n [2, 2, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2154
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 4, 0, -3],\n [4, 2, -4, -3],\n [-2, -1, -3, 3],\n [-4, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6895
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 1, 0, -3],\n [1, 2, -1, 0],\n [0, -1, 2, 0],\n [-3, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3062
|
MATH
|
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