messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 2, -2],\n [4, 4, 2, -2],\n [2, 2, 2, -4],\n [-2, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26330
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 2, -3],\n [0, -3, 2, 3],\n [1, -1, -4, 2],\n [1, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
228
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-1, 3, 3, -2],\n [3, -3, 0, 3],\n [1, 1, -4, 4],\n [1, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2162
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, 0],\n [-2, 2, -2, -4],\n [0, -2, 2, -1],\n [0, -4, -1, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
412
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, 3, 0],\n [2, -3, -4, -1],\n [3, -4, -3, 0],\n [0, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-700
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 1, 4, -3],\n [-4, 0, 4, -2],\n [3, -3, 1, -1],\n [2, -2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
658
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 3, 2],\n [-1, 4, -2, 0],\n [3, -2, -3, 0],\n [2, 0, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1626
|
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 [0, -4, 2, 2],\n [4, 2, 2, 0],\n [1, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4462
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 2, 4],\n [-4, 2, 0, 0],\n [2, 0, 1, 0],\n [4, 0, 0, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[4, 3, 1, -1],\n [2, -2, -2, 4],\n [0, 3, -4, 2],\n [2, -3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
152
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, 1, 0, 0],\n [1, -4, -1, 0],\n [0, -1, -3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -2, 2],\n [0, 2, 0, 0],\n [-2, 0, -1, -2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 2, 2],\n [2, -2, 0, 2],\n [2, 0, 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"
}
] |
4749
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-4, 4, -3, 1],\n [0, -2, -4, 0],\n [1, 2, -3, -1],\n [4, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -4, 3],\n [2, -4, 4, -1],\n [-4, -1, -3, 1],\n [1, 0, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1321
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, -2, 4],\n [4, 2, 0, 4],\n [4, -1, -4, 4],\n [1, 2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1286
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[4, -4, 1, 2],\n [1, 4, 4, 4],\n [4, -2, 1, 3],\n [-3, -4, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -1, -2, -4],\n [4, -1, 0, 4],\n [4, 0, 1, -4],\n [1, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1565
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-4, 0, 0, 4],\n [-1, -2, 1, 0],\n [-4, -4, -1, 4],\n [1, -3, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-324
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-1, 0, -3, 2],\n [4, 2, -3, -3],\n [3, 3, 3, -4],\n [3, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-165
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, -4, -2, 1],\n [-3, 4, -3, -4],\n [1, 4, 2, -2],\n [1, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 3, -4],\n [2, -2, 0, 0],\n [3, 0, 0, -2],\n [-4, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
232
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[4, -1, -4, 0],\n [-1, 1, 1, 0],\n [-4, 1, -3, -4],\n [0, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
161
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-2, -4, -1, -3],\n [3, -4, 1, 2],\n [-3, 0, 4, -4],\n [-3, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 1, -3, -3],\n [1, -2, -2, 0],\n [-3, -2, -1, 0],\n [-3, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
386
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 3],\n [0, -2, -3, 3],\n [0, -3, 4, 2],\n [3, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2769
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, -3, -1],\n [3, 1, 2, -4],\n [-1, -1, 3, 4],\n [-4, -1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, 4, 0],\n [-1, 3, -3, 0],\n [4, -3, 0, 2],\n [0, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1460
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, -1, 1],\n [-3, 2, 3, 0],\n [-3, -4, 0, 4],\n [4, -2, 2, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-406
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -4, -4, 2],\n [-1, 2, 4, -3],\n [-1, 1, 2, 2],\n [-4, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
327
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, 1, 3],\n [4, 3, 0, -2],\n [1, 0, -3, -2],\n [3, -2, -2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, 2, 3, 1],\n [-4, -3, 2, -3],\n [-1, -4, -2, 3],\n [1, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-537
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 0, 3],\n [4, -3, 3, -2],\n [-3, -4, 0, -3],\n [3, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5368
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 1, -3, 3],\n [4, -4, 2, 3],\n [-2, 3, 4, 4],\n [-2, -3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1966
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 2, -1, -2],\n [0, -3, 1, -3],\n [2, -3, -4, -1],\n [0, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 0],\n [0, 0, 1, -2],\n [0, 1, -3, 0],\n [0, -2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
863
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 4, 4, 3],\n [-1, -2, 1, -2],\n [3, 1, -2, 4],\n [0, 3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1830
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, -2, -1],\n [-2, 2, 2, 3],\n [-1, 3, 0, 2],\n [4, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5328
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, 2, 4, 3],\n [2, 0, -2, 3],\n [4, -2, 1, -1],\n [3, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
596
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, 1, 2],\n [-4, 2, -2, 2],\n [1, -2, 1, 0],\n [2, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
928
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[1, -2, -4, -3],\n [-1, -4, -1, -2],\n [4, 3, 1, 2],\n [-1, 2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 1, -2, 0],\n [1, -3, -3, -1],\n [-2, -3, 0, 3],\n [0, -1, 3, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-292
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, 2, -2, 0],\n [2, 3, 1, 0],\n [-2, 1, -2, -2],\n [0, 0, -2, -3]]?\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, 4, -4, -4],\n [0, -1, 1, 4],\n [1, -1, 1, -3],\n [3, 2, 4, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 2, -2],\n [-2, -4, 2, -4],\n [2, 2, -2, 0],\n [-2, -4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5813
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 3, 4],\n [2, -4, -4, 4],\n [0, -2, -3, 3],\n [4, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1966
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 3, -2, -4],\n [-1, 2, -2, 3],\n [-4, -1, -1, -1],\n [4, -4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1317
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 4, -1],\n [-4, -4, 2, -1],\n [0, -1, 0, 3],\n [-4, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3336
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, 1, 1],\n [4, 1, -1, 4],\n [-1, -1, -4, 1],\n [-1, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3381
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -4, 2, -4],\n [-2, 2, -2, 2],\n [3, 3, -4, -4],\n [4, 1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12957
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -2, -2],\n [-2, 3, 0, 2],\n [-2, 0, -3, -2],\n [-2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1155
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 1, -2],\n [0, -4, 0, 2],\n [1, 0, 1, 3],\n [-2, 2, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
573
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -4, 2, 4],\n [-4, -1, 0, 0],\n [2, 0, -2, 4],\n [4, 0, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2281
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 0, -2],\n [-1, 2, 3, 2],\n [0, -4, -4, 4],\n [-1, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2311
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, -2, -2],\n [0, -2, 0, -1],\n [-2, 0, 2, 1],\n [-2, -1, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
364
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, -2, 0],\n [-2, -3, -2, 0],\n [-2, -2, -4, -2],\n [0, 0, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1902
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, 0, 0],\n [2, -1, 2, 0],\n [0, 2, 0, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1194
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 0, 1],\n [-2, -4, 1, 0],\n [0, 1, -4, 0],\n [1, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4123
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, -1, 2],\n [4, -1, -2, 4],\n [4, 2, 4, -1],\n [2, 1, 0, -3]], determine the sum of all entries.\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 3th power of the matrix:\n[[-4, 0, 2, -2],\n [0, -1, 2, -2],\n [2, 2, -4, 2],\n [-2, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1553
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-3, 2, -3, -1],\n [-1, 2, 4, 2],\n [3, 3, 2, -3],\n [2, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
396
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 4, -4, -4],\n [-3, -4, 4, -1],\n [-4, -4, -2, -2],\n [0, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5261
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 4],\n [-4, 0, -4, 0],\n [-3, -4, 4, 2],\n [2, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2243
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, -4, -3],\n [0, -3, 2, 3],\n [1, 1, 2, -2],\n [0, -3, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-88
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[3, 1, 3, -3],\n [3, -3, 2, -3],\n [-2, 0, 3, 0],\n [3, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-369
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 0, -4],\n [-1, -2, -2, 2],\n [3, 2, -2, 0],\n [2, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
250
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, 0, 3],\n [3, -3, 0, -1],\n [0, 0, -2, 0],\n [3, -1, 0, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
618
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, -4, 2],\n [-4, -4, -3, -4],\n [-3, -4, -3, 2],\n [-3, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7718
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[4, 1, -1, 3],\n [-1, -1, -3, -3],\n [0, -1, 0, 1],\n [3, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-273
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-1, -1, 1, -3],\n [3, -2, 0, 3],\n [-4, -3, -2, 0],\n [1, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, -4],\n [2, 3, 0, 2],\n [0, 0, -1, -1],\n [-4, 2, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2395
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 4, 2],\n [2, -3, 1, 4],\n [4, 1, -1, 2],\n [2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1542
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, -1, 4],\n [3, 2, -3, -3],\n [-4, 3, 4, 2],\n [1, -2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2986
|
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, -1, 1],\n [-1, -3, -4, 1],\n [-1, -4, -3, -2],\n [1, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1212
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -2, -2],\n [-2, 2, 2, 0],\n [-2, 2, 3, -1],\n [-2, 0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1129
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -3, 0, -1],\n [-3, 3, 0, 0],\n [0, 0, -3, 0],\n [-1, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
693
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 1, 2],\n [3, 3, 2, 4],\n [-3, -3, 3, -1],\n [-1, 1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5472
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 4, 3],\n [4, -3, -1, 2],\n [-1, 1, 2, 4],\n [0, 2, 4, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
83
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -1, 1],\n [0, -1, -1, -2],\n [-1, -1, -3, 0],\n [1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1098
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 1],\n [-3, -4, -4, -3],\n [4, -2, -4, -2],\n [-2, -1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1190
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, 1, 1, -2],\n [-1, -1, -4, -1],\n [-4, -3, -4, 3],\n [-4, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, -4, 1],\n [0, 2, -4, 1],\n [-3, -4, -3, -1],\n [-2, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5827
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 1, -4],\n [2, 1, 4, -2],\n [0, 3, 0, -2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
750
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, -2, -1],\n [0, -1, 3, 0],\n [-4, 3, 3, -2],\n [1, 3, 1, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
143
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 0],\n [0, -4, 3, -1],\n [0, 3, -2, 1],\n [0, -1, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4345
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 2, -1],\n [2, -2, 0, 2],\n [2, 0, 4, 0],\n [-1, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
821
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 3, 0, 0],\n [3, 1, 2, 4],\n [0, 2, 4, 0],\n [0, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
694
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, -2, 1, 3],\n [1, -3, 3, 4],\n [-4, 0, -1, -3],\n [-1, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-847
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, -2, 2],\n [-1, 3, 2, 2],\n [-2, 2, 4, -2],\n [2, 2, -2, 2]], 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[[-1, -2, -3, 2],\n [4, 4, 1, 0],\n [-4, 1, 3, -4],\n [4, -1, -3, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1261
|
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, -1],\n [0, 1, 4, 0],\n [0, 4, -2, -1],\n [-1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
509
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, 3, 2, 2],\n [3, -4, 0, 3],\n [2, 0, 2, 3],\n [2, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
876
|
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, 0],\n [-2, -1, 1, 3],\n [-3, 3, 1, -1],\n [4, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
532
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, -1, -1],\n [1, 0, 0, 2],\n [-1, 0, 2, 0],\n [-1, 2, 0, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, -3],\n [0, 2, 0, 0],\n [0, 0, -2, -2],\n [-3, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-510
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, 3, -4],\n [-1, 1, 4, 0],\n [-4, 0, -4, 2],\n [-2, -3, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-165
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -1, -3],\n [-2, -1, -1, -4],\n [-2, 3, 0, 4],\n [0, -1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
521
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-4, -4, 2, -2],\n [3, 4, 3, 4],\n [3, -1, 2, 3],\n [-4, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-130
|
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, -3],\n [-2, -3, -2, -2],\n [-2, -2, 3, -2],\n [-3, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18995
|
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, 0, -1],\n [-2, 0, -2, 0],\n [-2, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-364
|
MATH
|
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