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 all entries of the result:\nA =\n[[-3, -1, -3, -2],\n [-2, -1, -3, 2],\n [-2, -4, -2, -1],\n [0, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1051
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 3, 2, 0],\n [2, -1, -1, -1],\n [-4, 1, -1, -2],\n [0, -3, -2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, 2, -1],\n [1, 0, -3, -2],\n [2, -3, 1, 2],\n [-1, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1273
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 4, 1, -1],\n [-1, -1, 2, -3],\n [-3, -2, 3, -2],\n [-3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-992
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, -1, -3],\n [3, 4, 4, 0],\n [0, 1, -4, -1],\n [4, 0, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3854
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 0, -4],\n [3, 3, -2, -4],\n [1, -2, 0, 2],\n [-1, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4642
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-1, -1, -2, -3],\n [-3, -3, -4, 4],\n [-4, -1, 3, 2],\n [-1, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
344
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 0, 0],\n [-1, -2, 1, 4],\n [0, 1, 3, 0],\n [0, 4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
460
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -3, 0, -4],\n [-1, 3, -3, 2],\n [1, -4, 0, -3],\n [-2, 1, 0, 4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1120
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 0, 1],\n [-1, 4, 0, 2],\n [4, 0, -2, -4],\n [-3, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2048
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, -3, -2],\n [2, -3, 0, 2],\n [-3, 0, -1, 0],\n [-2, 2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[2, -4, 2, 2],\n [-3, 0, 2, 4],\n [2, -1, 4, -3],\n [-3, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
238
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 0, 0, 4],\n [0, -2, -4, 0],\n [-4, 1, -2, 4],\n [1, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, 2, 1],\n [3, 1, 2, -2],\n [-1, 1, -1, -1],\n [-2, -4, 4, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, -1, 2],\n [-4, 3, 2, -2],\n [4, 2, 4, 0],\n [3, -4, 0, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
191
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -2, 2],\n [3, -4, -3, -2],\n [0, -4, 4, 1],\n [-4, 3, -2, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-139
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, 2, 1, 4],\n [2, 3, 2, 0],\n [1, 2, 1, 0],\n [4, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, -4, -2],\n [-2, -2, -1, 1],\n [3, 0, 0, 4],\n [3, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7201
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -2, 1, -1],\n [-3, -4, 1, 3],\n [2, -2, 1, 4],\n [2, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2710
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -4, 4],\n [4, 2, 4, -3],\n [3, 3, 2, 2],\n [2, -1, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-43
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -3, 0],\n [4, -1, -3, 1],\n [-1, 4, 2, -3],\n [-3, 2, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1903
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, 3, -2],\n [-3, 3, 1, 0],\n [3, 1, -2, 0],\n [-2, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 2, -2],\n [-4, 0, 2, -4],\n [2, 2, -3, -3],\n [-2, -4, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1339
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -1, -4],\n [-3, -2, -4, 4],\n [-1, 1, 4, -1],\n [-2, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
858
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 3, 3],\n [2, 2, 1, 0],\n [-3, -1, -2, 0],\n [3, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, 4, -1],\n [3, -1, 2, 3],\n [-2, -4, 1, 3],\n [2, 3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1804
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 0, 2],\n [-2, -4, -2, -3],\n [0, -2, -1, 2],\n [2, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4347
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 2, 3],\n [2, -3, -3, -1],\n [-2, -3, 3, -3],\n [0, -4, 3, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[2, -2, 1, 0],\n [-2, 0, -2, 1],\n [1, -2, 1, -2],\n [0, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 4, 1, 4],\n [3, 2, 0, 4],\n [2, -2, -4, -4],\n [0, 0, 3, 2]]\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, -3, -4, -3],\n [-3, 3, 0, 4],\n [-1, -2, 3, 3],\n [-2, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19144
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -3, -2, 4],\n [1, 4, 4, -1],\n [-2, 1, 2, 2],\n [-1, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8930
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, 0, 2],\n [3, 1, 3, -4],\n [-1, 1, 0, 4],\n [-1, 0, -2, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-184
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 4, 4, -2],\n [4, 2, 2, -1],\n [4, 2, -3, 1],\n [-2, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4903
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -4, 0],\n [0, 0, 2, -2],\n [-4, 2, 1, -2],\n [0, -2, -2, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -1, -3],\n [0, 0, 0, 1],\n [4, 2, 1, -4],\n [-1, -4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-317
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 3, -1, -1],\n [-3, 0, -2, 1],\n [-4, 3, 4, 2],\n [-4, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 4, 0, 3],\n [4, 0, -3, 0],\n [-3, 2, 0, 1],\n [-3, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
666
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, 1, -3],\n [3, -1, -1, -1],\n [4, -3, -1, 2],\n [1, 4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
440
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, 1, 1],\n [1, 4, -1, -4],\n [2, -4, 2, -2],\n [-2, -2, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8457
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, -4, 2],\n [3, 3, 0, 2],\n [3, -2, 3, -1],\n [2, -4, 1, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
209
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-2, -2, 2, 0],\n [-2, 2, 2, 0],\n [2, 2, -4, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-384
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-1, -2, -4, 0],\n [1, 1, 2, 0],\n [4, 0, 4, -4],\n [-3, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-23
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, 3, -2],\n [-3, -2, 2, -2],\n [3, 2, 0, 1],\n [-2, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3297
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, -1, 0],\n [-2, -2, 0, 0],\n [-1, 0, 3, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1890
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 2, -4],\n [1, -3, 4, -1],\n [1, -4, -3, -2],\n [3, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
337
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, 2, 1],\n [0, 0, 1, -2],\n [2, -4, -3, 3],\n [4, -3, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11939
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -4, -1],\n [4, 0, -3, -4],\n [2, 4, -4, 0],\n [-3, 0, 4, 3]]\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, 2, 2, -2],\n [2, 0, 0, 1],\n [2, 0, -2, 1],\n [-2, 1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
214
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, 4, 0],\n [0, -4, -2, 2],\n [4, -2, -3, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1762
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-4, 0, 0, 2],\n [-1, -4, -2, -4],\n [3, -3, -4, -2],\n [-4, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-282
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 2, -1],\n [2, 4, -3, 2],\n [2, -3, 0, 0],\n [-1, 2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
194
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, 2],\n [0, 3, 0, 3],\n [0, 0, -4, 4],\n [2, 3, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
344
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 2, 4],\n [0, -3, 2, 0],\n [2, 2, 2, 2],\n [4, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1562
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[1, 3, 0, 0],\n [2, -4, -1, 0],\n [4, -2, 2, 0],\n [2, 3, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -1, 0],\n [1, 1, -4, -1],\n [-4, 2, -4, 0],\n [0, -3, 1, -4]], determine the value at position (2, 1).\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, 1, 2, 2],\n [1, 3, 0, 0],\n [2, 0, 4, 0],\n [2, 0, 0, -3]], 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[[-3, 3, 0, 1],\n [3, -3, 4, 1],\n [0, 4, -2, 0],\n [1, 1, 0, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 1, -2],\n [-2, 4, -1, 4],\n [2, 3, -2, -4],\n [1, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-187
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 1, 2],\n [4, 1, 0, 2],\n [-3, 1, 4, 1],\n [1, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1032
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, -4],\n [2, 1, 0, 2],\n [0, 0, 3, 2],\n [-4, 2, 2, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
644
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -2, 4],\n [2, -3, 0, 2],\n [-2, 0, -4, 0],\n [4, 2, 0, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1852
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -3, 3, -1],\n [2, -3, 2, 3],\n [2, 2, 4, -1],\n [-3, 4, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1548
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, -2, -4],\n [1, -2, -4, 4],\n [4, -3, 0, -3],\n [-1, -1, -1, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 4, 0],\n [-1, -3, 1, 1],\n [4, 1, -4, -1],\n [0, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6840
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, -1, -1],\n [4, 0, -2, -2],\n [4, -4, 3, 1],\n [4, 2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
261
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, -1, 3],\n [-4, -4, 1, 0],\n [-3, 1, 1, -1],\n [-1, -3, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6030
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 2, 0],\n [1, 2, 2, -1],\n [2, 2, 2, -3],\n [0, -1, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6786
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-3, 4, -3, 4],\n [-1, -3, 4, 3],\n [-4, 2, -1, -2],\n [1, 1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-2, 1, 0, 2],\n [1, 0, 2, 2],\n [0, 2, -3, -2],\n [2, 2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 3, 0, -2],\n [0, 1, 0, 2],\n [2, 0, -4, 1],\n [0, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
122
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-1, -4, 2, 4],\n [1, 4, 3, 0],\n [2, 0, 4, 1],\n [-2, 1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
69
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, -2, -3, -3],\n [-4, 2, -4, -4],\n [-3, -2, -2, 4],\n [0, 4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-39
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 4, 3],\n [4, -4, 1, 0],\n [-1, 2, -2, 3],\n [-3, 3, 3, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, 0, -3],\n [-3, 3, 3, 1],\n [0, -3, 4, -3],\n [-3, 4, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 1, -3],\n [4, 1, -3, 1],\n [4, -4, 4, -2],\n [4, 4, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-106
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 2, -2],\n [0, 0, 0, -1],\n [2, 0, -1, -2],\n [-2, -1, -2, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, -1, 0, 0],\n [0, 0, 3, 2],\n [2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
453
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 1, 2],\n [4, 3, 3, -1],\n [-1, 1, -4, 2],\n [-2, 4, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5434
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, 0],\n [0, -4, 0, -2],\n [0, 0, -1, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1127
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, -2, 1, 0],\n [-2, -3, -1, 2],\n [1, -1, 2, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
149
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 3, 1],\n [3, 0, 3, 4],\n [2, -1, 0, 1],\n [-2, -2, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 0, 0],\n [1, -1, 0, -1],\n [0, 0, 2, 0],\n [0, -1, 0, 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^3 where A is:\n[[1, -1, 0, -2],\n [-1, -3, 1, 4],\n [0, 1, 4, 2],\n [-2, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
991
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, -2, -1],\n [4, 0, 1, -3],\n [-4, 2, 3, 0],\n [-1, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6971
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 3, 3, -2],\n [2, -4, 3, 1],\n [-4, 1, -3, -2],\n [-3, -1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1638
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 1],\n [0, 3, -2, 0],\n [0, -2, -4, 0],\n [1, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-109
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[4, -2, 1, 1],\n [-2, 4, 1, 2],\n [1, 1, 1, 1],\n [1, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
694
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-3, 3, 3, 3],\n [-1, -3, 0, 4],\n [1, -4, 2, 0],\n [2, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -4, -1],\n [0, 4, 4, -2],\n [-2, -1, 0, -2],\n [-2, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-255
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, -2, -2],\n [-3, -1, 3, 0],\n [-2, 3, -2, 4],\n [-2, 0, 4, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-93
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, 0],\n [0, -1, 2, -3],\n [-2, 2, 1, 2],\n [0, -3, 2, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-86
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, -2, 2],\n [3, 3, -2, 1],\n [-4, -1, 2, -1],\n [-2, -4, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13213
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[3, 3, -2, 1],\n [3, 0, -2, 0],\n [-2, -2, 1, -2],\n [1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-692
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, 4, -2],\n [1, 1, -1, 4],\n [-2, -4, 0, 3],\n [-1, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 4, -1, 2],\n [-3, 4, 4, -3],\n [-2, -2, 4, 3],\n [-3, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-29
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[2, -2, 0, 0],\n [-2, 0, 4, -1],\n [0, 4, -2, -1],\n [0, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, -4],\n [0, -3, 2, 0],\n [0, 2, 1, 3],\n [-4, 0, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-247
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -1, -1],\n [2, 4, 4, 2],\n [-3, -3, 0, 2],\n [-1, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
506
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 1, -2],\n [3, -3, 3, -2],\n [4, -2, -4, 1],\n [4, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
238
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.