messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, 2, -1],\n [-4, -2, 1, 0],\n [2, 1, 2, 0],\n [-1, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
530
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 4, 2],\n [4, 1, 0, 0],\n [-2, 4, 4, 3],\n [-4, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1357
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 1, 3, -1],\n [-1, 2, 2, -4],\n [4, 1, -2, -3],\n [1, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6043
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, -2, -2],\n [-1, -4, -2, 1],\n [-2, -2, 2, 0],\n [-2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -3, -3],\n [4, -4, 1, 2],\n [1, 2, -3, 1],\n [-4, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
188
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, 1, 2],\n [-2, 1, -2, -2],\n [-2, -3, 3, -1],\n [-2, 1, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
518
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 0, 0],\n [2, -1, 0, 0],\n [0, 0, -2, -2],\n [0, 0, -2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
185
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[2, -2, 1, 0],\n [4, 1, -4, -4],\n [3, 0, 4, 4],\n [1, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-284
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 1, -3],\n [-4, 1, -4, -3],\n [3, -4, 1, 2],\n [2, 2, -4, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-124
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, -2],\n [2, 1, 0, 1],\n [0, 0, 1, -1],\n [-2, 1, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1892
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 2, -2],\n [-2, -2, 0, -4],\n [4, 0, 2, -1],\n [-4, -4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1616
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 0, 0],\n [-1, -1, 4, 0],\n [4, 2, 1, -2],\n [-2, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1273
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, 0, 2],\n [0, -1, -2, -4],\n [0, -2, 2, 0],\n [2, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2250
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-2, -3, -2, -3],\n [1, 1, 0, -4],\n [-2, -1, -3, 4],\n [3, 1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
99
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -2, 0],\n [-2, 1, 2, 1],\n [-2, 2, -1, 1],\n [0, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
454
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -2, -1],\n [-3, -4, 0, -3],\n [-1, -2, 3, 3],\n [0, -1, 3, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 1, 0],\n [4, 4, 0, -4],\n [-3, -3, 2, 2],\n [2, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
572
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, -2, 0],\n [2, 0, 0, 0],\n [-2, 0, 2, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
165
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -1, -4],\n [1, -4, -3, 4],\n [0, -3, -3, 0],\n [4, 3, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-630
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-2, -2, 1, 0],\n [-2, -4, -1, 2],\n [1, -1, 1, 1],\n [0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
121
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 2, 0, 2],\n [2, -2, -4, 1],\n [0, -4, -1, -1],\n [2, 1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-113
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 4, 1, 2],\n [-3, -2, 2, 0],\n [0, 4, -3, -3],\n [0, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-2, 4, 1, 0],\n [-2, -3, -4, -4],\n [2, 0, 1, 1],\n [2, 2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -1, -1, 3],\n [4, 0, -1, 4],\n [-3, 1, 3, 0],\n [3, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5771
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -3, 4, -2],\n [1, 3, -2, 1],\n [3, 3, -3, -3],\n [-3, 0, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-60
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -4, -1, 0],\n [-2, -3, 4, -1],\n [-3, -4, 4, -2],\n [-4, -3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6650
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, 2, 3, 2],\n [2, -4, 0, -2],\n [3, 0, -2, 0],\n [2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
973
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-1, 2, -3, -2],\n [-1, -4, 3, 4],\n [3, 3, 0, 1],\n [3, 3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[0, 0, 1, -4],\n [-3, -1, 2, -1],\n [-3, 0, 1, -4],\n [-3, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-19
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, -4, 1],\n [3, -4, 2, -2],\n [3, 1, 0, -4],\n [-3, -3, -4, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-564
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[0, 2, -3, -3],\n [-4, 4, 2, 0],\n [3, -1, 4, -3],\n [4, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 2, 3],\n [-2, -2, -3, 4],\n [2, -3, -2, 2],\n [3, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18059
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, 1, 4],\n [1, 3, 0, -1],\n [0, 1, -3, -4],\n [3, 3, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2235
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-1, 2, 2, -1],\n [2, -2, -2, -3],\n [2, -2, 1, 0],\n [-1, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
176
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-1, -1, -3, 0],\n [-3, -2, -2, -2],\n [4, 4, 1, 3],\n [-4, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
262
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, -3, 1],\n [1, 4, -4, 4],\n [-2, -1, -4, -2],\n [-1, 1, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1094
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, -1, -3, 0],\n [-1, 2, -1, 2],\n [-3, -1, 1, -4],\n [0, 2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
149
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, -4, 4, -4],\n [2, 3, -3, -1],\n [-2, 3, -1, -1],\n [4, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, 0, -4],\n [1, -3, 0, 1],\n [0, 0, 2, 1],\n [-4, 1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
816
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[3, -4, -2, 4],\n [4, 1, 1, -2],\n [2, -3, -4, -4],\n [-4, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-924
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, -4, 3],\n [-1, -3, 3, -2],\n [-4, 2, 1, -2],\n [2, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 1, -3],\n [1, -1, -3, -4],\n [-3, -4, 3, -3],\n [2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3582
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -4, -2],\n [0, -1, -1, 2],\n [-4, -1, 2, -2],\n [-2, 2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2169
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-1, -1, -1, 0],\n [-1, -1, 0, 3],\n [-1, 0, 1, -2],\n [0, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[1, 2, 1, 0],\n [0, 1, -4, 4],\n [-4, -1, 2, 2],\n [-3, -3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0, -2],\n [2, -2, 0, 0],\n [0, 0, 0, 0],\n [-2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, -1, -1, 4],\n [-3, 1, 0, 0],\n [3, -3, 4, 3],\n [-2, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 0, 2],\n [-2, 1, -1, -2],\n [0, -1, -3, 3],\n [2, -2, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
895
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, -4, 4],\n [3, 2, -3, 1],\n [0, -1, -3, -2],\n [3, 1, -1, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, 1, 0, -4],\n [-3, 0, 4, -2],\n [-1, -3, 0, -3],\n [-4, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-60
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, 0, 0],\n [1, 3, 0, 2],\n [0, 0, 2, 2],\n [0, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
236
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0, 0],\n [2, 3, 2, 1],\n [0, 2, -2, 0],\n [0, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3061
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, 1, 0],\n [3, -4, 3, -2],\n [1, 3, -2, -4],\n [0, -2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-47
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, 4, -4],\n [1, -1, 4, -2],\n [-3, -2, 3, -1],\n [-1, -3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
760
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 1, -2, 0],\n [1, 1, 0, -2],\n [-2, 0, 0, -2],\n [0, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1264
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-1, -4, -4, 4],\n [1, 3, 2, 4],\n [-2, 2, 4, -2],\n [2, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-132
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, 2, 2, 2],\n [2, 2, -2, -4],\n [2, -2, -2, -4],\n [2, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1428
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, -1, 4],\n [0, 4, 2, -3],\n [-1, 2, 3, -2],\n [4, -3, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
176
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, -4],\n [2, 2, -2, -3],\n [0, -2, 0, 0],\n [-4, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
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, -1, -2],\n [2, 2, 3, 0],\n [-1, 3, 2, -2],\n [-2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5884
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 1, 0],\n [-2, -2, -1, -1],\n [-3, 0, -1, -3],\n [-3, -3, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5244
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 2, -2],\n [-3, 0, -4, 0],\n [2, -2, 1, 2],\n [4, -1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
732
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, -2, -1],\n [-2, -4, -2, 1],\n [-2, -2, -4, 1],\n [-1, 1, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9892
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, -2],\n [1, 2, -4, 0],\n [2, -3, -4, 0],\n [-3, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
540
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-4, 0, 1, -1],\n [0, -1, -1, 1],\n [1, -1, 1, 2],\n [-1, 1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, 0, 0],\n [-2, 1, 0, 2],\n [0, 0, 0, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2215
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-1, -2, 3, -4],\n [-2, -4, -3, -1],\n [3, -1, -3, 4],\n [3, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-123
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 4, -3, 4],\n [4, 1, 3, -2],\n [3, 0, 4, 1],\n [0, -3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
109
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 1, -2],\n [-1, 0, -3, 0],\n [1, -3, 3, -2],\n [-2, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5703
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, -2, 2],\n [-4, -3, 0, 2],\n [-2, 0, 2, -3],\n [0, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-61
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 0, 2, 3],\n [0, 1, -2, 0],\n [2, -2, 3, -1],\n [3, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, -2, 3],\n [-4, -4, -4, 2],\n [-2, -1, 0, 0],\n [-3, 4, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-337
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, 1, 0],\n [2, 2, -2, 0],\n [1, -2, 4, -4],\n [0, 0, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6877
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, 0, -1, -1],\n [0, -2, -2, 0],\n [-1, -2, 0, 0],\n [-1, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, 0, -2, -1],\n [0, -3, 0, 2],\n [-2, 0, -2, 2],\n [-1, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 1, -2],\n [0, 2, 2, 0],\n [1, 2, 3, 2],\n [-2, 0, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
521
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, -2, 2],\n [-2, 4, -3, 0],\n [-2, -3, -2, -2],\n [2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-356
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-3, 4, 0, -4],\n [4, 2, 2, 0],\n [0, 2, -1, -3],\n [-4, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-308
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 0, -2],\n [-3, -3, 2, 4],\n [0, 2, 2, -2],\n [-2, 4, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1233
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, -4, -3],\n [-2, 4, 0, 0],\n [-4, 0, -2, -2],\n [-3, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1154
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, -2, -2],\n [3, -4, 0, 0],\n [-2, -3, -4, 1],\n [1, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
666
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0, -2],\n [0, 0, 2, 2],\n [0, 2, 0, -2],\n [-2, 2, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1666
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 1, 2],\n [2, -1, 0, -2],\n [1, 0, 3, -2],\n [2, -2, -2, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 3, 1],\n [0, -2, 2, 1],\n [-4, 3, -1, 3],\n [3, 4, -4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1165
|
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, -2, 2, -2],\n [0, 2, 0, 2],\n [2, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
430
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, -2, -3],\n [3, -3, 0, -4],\n [4, -1, 4, 1],\n [-4, -3, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9680
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, 2, 1],\n [0, 0, -4, -3],\n [2, 0, -4, -1],\n [-1, 2, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
685
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, 3, 2],\n [3, -2, 0, -1],\n [-1, 4, 1, -4],\n [-4, -4, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
183
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, 3, 2],\n [3, 0, 3, -2],\n [2, 3, 0, -4],\n [-1, -4, 1, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1016
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -1, 3, -2],\n [2, -1, 3, -2],\n [-3, 1, -3, -4],\n [3, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
663
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, 0, 0, -2],\n [0, 4, -1, -3],\n [0, -1, 1, 0],\n [-2, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 2, 0],\n [-1, -2, 0, 0],\n [2, 0, 2, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
499
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, -1, 0],\n [2, 1, 2, 2],\n [-1, 2, -3, 1],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -2, -3],\n [0, 3, -2, 2],\n [-2, -2, -1, 2],\n [-3, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2182
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 3, 4],\n [3, -1, 0, -4],\n [1, -3, 4, 3],\n [4, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
655
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 1, -2],\n [0, 3, 0, 3],\n [1, 0, 2, -4],\n [-2, 3, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
951
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 4, 0, -2],\n [0, -2, -2, 1],\n [1, 4, -1, -3],\n [4, 3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
760
|
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, 0, 2],\n [-2, -1, 2, -2],\n [0, 2, 2, 0],\n [2, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
455
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 4, 2, -2],\n [1, 0, -2, -4],\n [-1, 1, -3, 3],\n [1, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[0, 3, -2, 3],\n [3, -3, 2, 1],\n [-2, 2, -2, 0],\n [3, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-142
|
MATH
|
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