messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -3, 3, 0],\n [-3, 2, 0, 0],\n [3, 0, -1, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3982 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-3, 0, 4, -4],\n [1, 1, 1, -1],\n [2, -1, 1, 3],\n [2, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -583 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-3, 0, 2, 0],\n [0, 1, 0, 1],\n [2, 0, -3, 3],\n [0, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[4, 3, 4, -3],\n [3, -2, -1, -2],\n [4, -1, -3, 0],\n [-3, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 543 | 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, -2, 0],\n [-1, 1, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1917 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, 1, 4],\n [-1, 1, 0, 1],\n [1, 0, 1, -1],\n [4, 1, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1075 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 3, 0],\n [0, -3, 1, -2],\n [3, 1, -4, 2],\n [0, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 80 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, -2, 0],\n [-1, -4, 0, 0],\n [-2, 0, -2, 2],\n [0, 0, 2, 0]]?\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, -4, -4, -4],\n [-4, -3, 1, 3],\n [-4, 1, 4, 0],\n [-4, 3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26995 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -1, -1],\n [0, 0, 0, 1],\n [-1, 0, -2, 2],\n [-1, 1, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 25 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 2, -3],\n [-2, 0, -3, -2],\n [2, -3, -1, 0],\n [-3, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1196 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -2, 4, 0],\n [-2, 4, -1, -3],\n [4, -1, -2, 3],\n [0, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 973 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 4, 0, -1],\n [-4, -2, -3, 3],\n [4, -1, -2, -4],\n [2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2110 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -1, -4, 0],\n [3, -1, -2, 2],\n [4, -2, 4, -3],\n [-3, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -852 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 0, -2],\n [2, 4, 0, 0],\n [0, 0, -4, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -320 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, -1, 4, -4],\n [1, -3, 0, 3],\n [-2, 4, -4, -3],\n [3, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -52 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, 1, -2],\n [-3, 2, -2, 1],\n [1, -1, -2, 3],\n [0, -1, -1, 0]], determine the value at position (4, 2).\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[[-4, 4, -3, -4],\n [0, -2, 2, -1],\n [-4, 1, -4, -2],\n [-3, 3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 31420 | 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, -1],\n [-2, -4, -1, 2],\n [0, -1, -4, -1],\n [-1, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3185 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, -4, 0],\n [-4, 3, -1, -2],\n [-4, -1, 4, -4],\n [0, -2, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2524 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 4, -3, -4],\n [3, -3, -4, -4],\n [1, -4, -2, 4],\n [-2, 4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3075 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-3, 0, 0, -3],\n [2, -1, 1, 3],\n [3, -2, 3, -4],\n [3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, -1, 1],\n [1, 4, 1, -2],\n [-3, -3, 3, 1],\n [3, -4, -4, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1014 | 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, -4, -2],\n [-4, -2, -3, -2],\n [-1, -3, 4, -1],\n [-2, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3750 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 1, 4],\n [2, 0, 0, 0],\n [1, 0, -3, -4],\n [4, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1823 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, -3, -4, -1],\n [0, -4, 4, -4],\n [-2, 3, -3, -1],\n [-1, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -89 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, 3, 1],\n [0, -1, 3, 2],\n [-1, 2, 4, -4],\n [2, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1070 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-2, 3, 0, -3],\n [0, 0, -1, 0],\n [1, -3, -1, 0],\n [-3, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 149 | 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 [1, -2, -4, -2],\n [0, 2, 4, -4],\n [-4, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 981 | 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, -1, 0],\n [-2, 1, -2, 3],\n [-1, -2, 3, -1],\n [0, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2714 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, 0, -1],\n [-1, -3, 0, 0],\n [0, 0, 4, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-3, -2, -3, -1],\n [-2, -1, 2, -3],\n [-3, 2, -3, -2],\n [-1, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 486 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, 3, -1],\n [4, -2, 1, 4],\n [-4, 0, 4, 2],\n [2, -2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -652 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, 3, 0],\n [2, 3, 0, 4],\n [-1, -4, -3, -3],\n [2, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -21 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, -4, -3],\n [4, 1, 1, -2],\n [4, 4, -1, 0],\n [-2, 4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6122 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, 3, 4, -3],\n [1, 0, 2, -3],\n [-4, 4, -4, 0],\n [3, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 156 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 3],\n [-1, -3, -1, -2],\n [-3, -2, -1, 2],\n [-1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 851 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[1, -1, 0, 4],\n [3, -4, 0, -1],\n [-1, -4, 4, 4],\n [1, 3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -84 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 2, 0, 0],\n [2, -2, 2, -3],\n [0, 2, 1, 2],\n [0, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 90 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, 2, -1, 2],\n [2, 0, 2, -1],\n [-1, 2, 4, 0],\n [2, -1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -45 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-3, 4, 4, -3],\n [-1, 0, -2, 4],\n [-2, -4, 0, 4],\n [0, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -31 | 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, 0, -4],\n [0, -1, -4, 3],\n [-4, 1, -2, 3],\n [-4, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6666 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, 4, -2],\n [-2, 4, 3, -3],\n [-2, 0, 0, 0],\n [0, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 252 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, -2, 0, 4],\n [-2, 0, 0, -3],\n [0, 0, 0, 2],\n [4, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 142 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -1, -2],\n [0, -1, 0, -2],\n [-1, 0, -1, 0],\n [-2, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 507 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 4, -3],\n [0, -3, 2, 3],\n [3, 4, 1, 0],\n [2, 0, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 387 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, 0, 4, -3],\n [1, -3, -3, 3],\n [-4, -1, 2, -2],\n [-2, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 4, 0],\n [-2, -2, -1, 2],\n [4, -1, -4, 2],\n [0, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1855 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -2, 0],\n [0, 3, 0, 1],\n [-2, 0, 4, 2],\n [0, 1, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 615 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 4, -2],\n [-4, -1, 0, 0],\n [4, 0, -4, 0],\n [-2, 0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -159 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -1, -2],\n [0, -4, 3, 1],\n [-1, 3, -2, -2],\n [-2, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1882 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 1, 0],\n [0, 4, -4, 1],\n [4, -3, -1, 4],\n [1, -3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5487 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -1, 4],\n [0, 1, 0, 0],\n [-1, 0, 3, -4],\n [4, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 50 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -3, -4],\n [1, -2, 0, 2],\n [4, -1, -4, -3],\n [1, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2440 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 0, 0],\n [0, 1, 0, -4],\n [0, 0, -4, 1],\n [0, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | 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, 0, -2],\n [2, 4, 4, 3],\n [0, 4, -1, 0],\n [-2, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9635 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 1, 3],\n [-4, -3, -4, -1],\n [2, 2, -1, 0],\n [-1, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -75 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, 3, -4],\n [-3, 0, 4, -2],\n [-4, -3, -2, 4],\n [-1, -3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5606 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 2, -4],\n [-1, -2, -1, -3],\n [4, 0, -3, 4],\n [-3, 3, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4508 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, 0, 2],\n [-1, -4, 2, -3],\n [0, 2, 3, 4],\n [2, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1043 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -2, 2],\n [2, -2, 2, 0],\n [-2, 2, 0, 3],\n [2, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 29 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[4, 1, -4, 3],\n [1, 2, 4, 2],\n [-2, 4, 3, 1],\n [0, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1122 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 1, -1],\n [1, 4, 2, -2],\n [0, -2, 4, 0],\n [-2, 3, 3, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -11 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -4, 0],\n [2, 4, 4, 2],\n [-4, 4, -1, 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"
}
] | 1726 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, -2, -2],\n [1, -3, 0, 0],\n [-2, 0, -3, 0],\n [-2, 0, 0, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 136 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 2],\n [0, 3, 2, -2],\n [-2, 2, 0, -4],\n [2, -2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 273 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-4, 2, -1, -2],\n [2, -1, 3, 1],\n [-1, 3, 3, 0],\n [-2, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | 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, -3, -2, 2],\n [-3, -2, 4, 2],\n [2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6852 | 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, 4, -2],\n [2, 3, 0, 2],\n [4, 0, -4, 1],\n [-2, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2500 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 1, -2],\n [1, 0, 0, -2],\n [1, 0, -2, -2],\n [-2, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 417 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, -3, 2],\n [-1, 3, 0, 2],\n [-3, 0, 2, -2],\n [2, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 59 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, 2, 2, 4],\n [-3, -2, -1, -1],\n [-4, -4, 3, -4],\n [2, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 375 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, 0, 0, 3],\n [-1, -2, 3, -1],\n [2, -4, 4, 3],\n [3, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -117 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, -3, 1, -3],\n [-1, 3, 4, -3],\n [-2, 0, -4, 0],\n [4, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -67 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, -2, -3],\n [-1, -3, -4, 1],\n [-2, -4, -3, 2],\n [-3, 1, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2185 | 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, -4, -4],\n [-2, -1, -3, 3],\n [0, 1, -1, 3],\n [-1, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2529 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, 0, -2],\n [-4, -3, 3, 0],\n [0, 3, 4, 0],\n [-2, 0, 0, 2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 160 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -2, 2],\n [0, -2, -3, 0],\n [-2, -3, 1, 0],\n [2, 0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -48 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, -1],\n [-2, -3, 3, 4],\n [0, 3, 1, 0],\n [-1, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1076 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 0, -3, 0],\n [0, 1, 2, 2],\n [-3, 2, -3, 0],\n [0, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-1, 0, 2, -1],\n [0, 1, 2, -2],\n [2, 2, 2, 2],\n [-1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -14 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 4, 4, 4],\n [0, -4, -3, -4],\n [-1, -1, -4, 3],\n [-3, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4804 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, 4, 2],\n [3, 3, 0, 3],\n [-2, 3, -2, 1],\n [-2, -3, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2566 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, -4, -2],\n [-3, -3, 0, 3],\n [4, -4, 4, -3],\n [3, 0, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1453 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -3, 1],\n [0, -3, 4, 1],\n [-3, 4, -2, 2],\n [1, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 350 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[1, 2, -3, 3],\n [-1, 3, -3, 0],\n [2, -1, 0, 0],\n [0, 4, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 54 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-4, 0, 4, 1],\n [0, -2, -1, 2],\n [4, -1, -2, 0],\n [1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 102 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 1, -2],\n [-2, 3, 0, 0],\n [1, 0, 2, -1],\n [-2, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, -4, 0],\n [1, -3, 0, 1],\n [4, 2, 3, -3],\n [1, 1, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 746 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[2, 4, 0, 0],\n [4, 4, 0, 4],\n [0, 0, 1, -2],\n [0, 4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1024 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -4, 2, -3],\n [2, 0, 3, 3],\n [0, 2, 0, 3],\n [3, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -475 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, -3, -1, 3],\n [-1, 0, 1, 0],\n [-2, -2, 0, 3],\n [2, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -21 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, -4, 2, -2],\n [4, 1, -3, -1],\n [-2, -2, 4, -1],\n [4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -56 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, -2, 0],\n [2, -1, 2, 3],\n [-2, 2, -4, -3],\n [0, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16206 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 1, 2],\n [0, 2, 1, 3],\n [1, 1, -2, 0],\n [2, 3, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 226 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, 0, -2],\n [4, 2, 1, -4],\n [-3, -3, -1, 3],\n [-4, -4, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2678 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, -1, -4],\n [-2, 3, 0, 2],\n [2, 3, -4, 1],\n [4, 1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2340 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-4, -2, -4, 0],\n [-2, -2, 2, -1],\n [-4, 2, 4, -1],\n [0, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -136 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, 0, 0],\n [4, 3, 2, 3],\n [0, 2, 0, 1],\n [0, 3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6533 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -2, 0],\n [1, 2, 4, 0],\n [-2, 4, -3, 2],\n [0, 0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5815 | MATH |
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