messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 1, 0, 0],\n [1, -4, -2, 2],\n [0, -2, 2, 4],\n [0, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, 0, -4, -1],\n [0, 1, 0, 1],\n [-4, 0, 3, 3],\n [-1, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-538
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, -2, 2],\n [2, 1, -2, 0],\n [-2, -2, 1, -2],\n [2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13231
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 1, -2],\n [0, 4, 2, 2],\n [1, 2, -1, 1],\n [-2, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3022
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -3, -1, 2],\n [-1, 0, -4, 0],\n [-4, 3, -2, 0],\n [4, 1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-43
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[1, 0, 2, 1],\n [0, 0, 1, -3],\n [2, 1, 1, 1],\n [1, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
915
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 4, -3, -4],\n [4, 0, -2, -2],\n [-2, 2, 0, -3],\n [-3, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-45
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 0, -3],\n [2, -3, 3, 0],\n [0, 4, -4, 3],\n [-3, 3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1358
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 4],\n [1, 0, -2, 4],\n [2, -4, -3, 1],\n [-3, -1, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
98
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, -2, 0],\n [2, -4, 3, -2],\n [-2, 3, -1, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10349
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -2, 0],\n [2, 1, 0, 2],\n [-2, 0, 2, 2],\n [0, 2, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
712
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, -2, 4],\n [-4, -1, 1, -1],\n [-2, 1, 1, -3],\n [4, -1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2060
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 0, -1, 2],\n [-3, -4, -3, 3],\n [2, -2, 3, 1],\n [-2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-121
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, 0, -2],\n [2, -4, 2, -2],\n [0, 2, 0, 0],\n [-2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
521
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -1, -3, -2],\n [4, 1, -1, 3],\n [-1, -3, -2, -4],\n [2, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, -2, 0],\n [4, 4, 4, -1],\n [-2, 4, 1, -2],\n [0, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1854
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -4, 0],\n [1, -3, -3, 1],\n [4, -1, -4, -4],\n [-1, 1, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5659
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, -2, 1],\n [2, 3, 0, 0],\n [-2, 0, -1, 1],\n [1, 0, 1, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, -1, 0],\n [2, -4, 0, 2],\n [-1, 0, 1, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
69
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 0, -2],\n [3, -1, -4, -3],\n [0, -4, 1, 0],\n [-2, -3, 0, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
875
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-2, 2, -3, 1],\n [4, 3, 3, -1],\n [0, 3, -1, -1],\n [-1, 3, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
375
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 1, -1, 1],\n [1, 4, 0, -1],\n [-1, 0, -4, -2],\n [1, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2946
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, 0, 1],\n [3, -4, -2, 0],\n [0, 0, 3, -3],\n [-3, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-484
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, -1, 0, 4],\n [-1, -4, 1, 0],\n [0, 1, 1, 0],\n [4, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
260
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, -1, -2],\n [-2, 1, -4, 3],\n [-1, -4, 0, 1],\n [-2, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1506
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 4, 3],\n [-2, -2, 2, -4],\n [1, -2, -2, -2],\n [4, 3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
758
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, 2, 0, 0],\n [2, -2, 1, 0],\n [0, 1, -2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
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, -4, 3],\n [-3, -3, -4, -2],\n [4, 1, -2, -1],\n [-3, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6527
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 3, 1, -3],\n [-1, -3, 0, 0],\n [1, 3, -1, 1],\n [2, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
160
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, -3, 3],\n [-4, -2, 2, -2],\n [-3, -1, 4, 0],\n [0, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-226
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 2, -2],\n [2, -3, 2, 1],\n [2, 2, 3, 2],\n [-2, 1, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3989
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, 4, -2],\n [-4, -4, -1, 0],\n [-1, 1, -1, -2],\n [-4, 2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6946
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 4, -1],\n [-4, 4, -1, 2],\n [1, -1, 3, 4],\n [-2, 3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-245
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 0, -2],\n [0, -4, 0, 0],\n [0, 0, -3, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-75
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 0, 1],\n [1, -3, -4, 0],\n [3, 3, -2, -4],\n [2, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
755
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, 0],\n [0, -4, -3, 2],\n [-1, 0, -3, 4],\n [2, -1, 4, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 4, 0],\n [0, 2, 2, -4],\n [4, 2, 0, 0],\n [0, -4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1160
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, 1, 2],\n [-4, -4, 0, 3],\n [-3, 1, 1, 2],\n [2, 1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3617
|
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, -2],\n [1, -1, 2, 0],\n [4, 2, 4, 2],\n [-2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11841
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, -1, -3],\n [-3, 1, -1, 2],\n [-4, 3, 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"
}
] |
5916
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[3, -2, -1, -1],\n [-1, -1, 4, 1],\n [0, -2, 4, 3],\n [3, 4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-126
|
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, 0, -2],\n [-2, 3, -2, 1],\n [0, -2, 4, 2],\n [-2, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5777
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, -2, 0],\n [-1, -3, -1, 0],\n [-2, -1, -1, -1],\n [0, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-150
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, 4, -2],\n [-2, -3, 4, -3],\n [2, -2, 3, 1],\n [4, -1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[3, 2, 2, 1],\n [2, 2, 2, -1],\n [2, 2, -1, -1],\n [1, -1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 4, -1],\n [-1, -4, 0, -2],\n [-2, 3, -2, -4],\n [0, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2786
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, 2, 3],\n [4, -2, 0, 2],\n [2, 0, 0, 0],\n [3, 2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6074
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 2, -2],\n [0, -3, -2, 0],\n [2, -2, 4, -4],\n [-2, 0, -4, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -4, 2],\n [0, 3, -3, 2],\n [-4, -3, -2, 0],\n [2, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-114
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 2, -1],\n [0, 3, -2, -2],\n [2, -2, 1, 0],\n [-1, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-208
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -3, 4, 4],\n [2, -3, 4, 1],\n [-3, 4, 4, -4],\n [0, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
669
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[1, 0, 4, -2],\n [-1, 4, 0, -4],\n [3, 3, -2, -2],\n [4, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
204
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -2, 1],\n [0, 1, 4, -4],\n [-1, 0, 4, 4],\n [-1, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, -2, -4],\n [-3, 3, 1, 4],\n [-2, 1, -4, -1],\n [-3, -4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
508
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, 0, -4],\n [1, 4, 2, -2],\n [0, 2, 1, -2],\n [-4, -2, -2, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
57
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, -2],\n [2, -3, 0, -2],\n [-2, 0, -4, -2],\n [-2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7574
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-2, -4, -2, -2],\n [0, 0, -1, 0],\n [0, -3, 3, -1],\n [-4, -2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 4, 1],\n [0, 0, 2, -2],\n [4, 2, 3, 0],\n [1, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1263
|
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, -3, -2],\n [-2, -4, 0, -2],\n [-3, 0, -1, -2],\n [-2, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16205
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -2, -2],\n [2, -2, -2, 0],\n [-2, 4, -4, -3],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2079
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, -2, -1],\n [3, 2, -2, 1],\n [1, -4, 1, 1],\n [3, -1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-338
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[4, -3, 2, 0],\n [-2, 3, 1, -2],\n [4, 3, 3, 2],\n [0, -3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -3, -4, 0],\n [2, 1, 4, -1],\n [2, 2, -3, 0],\n [0, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-129
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -3, 1],\n [0, -1, 4, -1],\n [-3, 4, -1, 0],\n [1, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[0, -4, 3, -4],\n [1, 4, 4, 0],\n [-3, -1, 3, -2],\n [-4, -4, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -4, 4, 4],\n [-4, 4, 4, -2],\n [-1, 2, 4, 4],\n [-3, -3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11759
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, -2, -1],\n [3, 3, 1, 4],\n [1, -4, -2, 0],\n [-4, 2, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
738
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, -1, 4, 0],\n [1, 4, -4, -2],\n [-4, 4, -1, 1],\n [0, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
61
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-3, 0, 1, 1],\n [0, 4, 1, 2],\n [0, 2, 2, 3],\n [1, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 0, 3],\n [-2, 0, -3, -1],\n [0, 1, -4, -1],\n [2, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1048
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 2, 0],\n [-3, -3, -2, 0],\n [2, -2, 1, 0],\n [0, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2398
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[4, 3, 1, 2],\n [1, -2, -4, -1],\n [4, -1, 3, 4],\n [-1, 3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-374
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, 1, -4],\n [-2, 4, 4, -1],\n [-1, 2, 1, -1],\n [1, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
457
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -1, 0],\n [3, 0, -1, 1],\n [-4, -1, 4, -3],\n [-4, -4, -1, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, -1, -2, 1],\n [-1, 1, 2, 0],\n [-2, 2, -3, -1],\n [1, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[3, -2, 2, -3],\n [-2, 2, 0, 3],\n [2, 0, -3, 0],\n [-3, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
81
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, -1, -2],\n [3, 4, 0, 2],\n [-1, 0, 1, 0],\n [-2, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3690
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, -2, 4],\n [1, -2, -2, 1],\n [1, -4, -1, -4],\n [2, -4, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
721
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, -2, -2, -2],\n [-2, -1, 0, -4],\n [-2, 0, -3, 0],\n [-2, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
440
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -4, 2, 0],\n [-4, 2, 3, -4],\n [4, 3, 0, 2],\n [2, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1773
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, 2, 0],\n [3, -1, 0, 2],\n [2, 0, 4, 4],\n [0, 2, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8522
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, 1, 3],\n [-3, 2, 2, 3],\n [2, -2, -1, 0],\n [3, 1, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3101
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[2, -3, 1, -4],\n [-3, -3, 3, 1],\n [-1, -4, 4, 2],\n [-3, 4, 1, 3]]\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[[-4, -2, -2, 2],\n [-2, -1, 0, -1],\n [-2, 0, -1, -2],\n [2, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2377
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, -1, -1, -1],\n [-1, 0, -2, -2],\n [-1, -2, -2, 2],\n [-1, -2, 2, 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, 0, -2],\n [0, -3, -2, 0],\n [0, -2, -1, 0],\n [-2, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
174
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, 2],\n [0, 0, 1, -3],\n [0, 1, -4, 2],\n [2, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
816
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 2, -4],\n [0, 3, 4, 1],\n [-4, 2, -4, -1],\n [-1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-770
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, -1, 2],\n [-4, -2, -3, 4],\n [-2, -4, 2, 3],\n [0, -3, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2592
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 2, -2],\n [-1, 4, -2, 2],\n [2, -2, -2, 0],\n [-2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
807
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 3, 4, -2],\n [-4, 3, -1, 1],\n [3, 3, -4, 2],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-207
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -3, 0],\n [0, 3, 4, 0],\n [-3, 4, 3, -2],\n [0, 0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
168
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, 3, 0],\n [4, -2, 1, 0],\n [3, 1, -2, -1],\n [0, 0, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2404
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 1, -2, -1],\n [1, -3, -2, 2],\n [-2, -2, -1, 1],\n [-1, 2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
631
|
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, 0, 4],\n [-1, 1, -2, 4],\n [2, -4, -4, 0],\n [-3, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
580
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -4, -4, 4],\n [-2, 1, 1, 4],\n [1, 4, 0, -1],\n [2, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
565
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, -4, 0],\n [0, -3, -2, -1],\n [4, -2, 4, 2],\n [2, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-279
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -1, 2, 2],\n [-1, 2, 3, -4],\n [2, 3, -2, 1],\n [2, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -1, 0, 2],\n [4, 1, 1, 3],\n [-1, -2, 2, 0],\n [2, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-178
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 1, 2],\n [2, 1, 2, -1],\n [1, 2, 0, 2],\n [2, -1, 2, -1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.