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 absolute values of all entries of the result:\nA =\n[[-2, -4, -2, 1],\n [2, 1, 3, 1],\n [-2, 3, 0, -2],\n [3, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 293 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -3, 1],\n [2, -4, 1, -3],\n [-4, 0, -3, 2],\n [3, -4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20108 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 2, -4],\n [-2, -3, 2, 4],\n [2, 2, 2, 2],\n [-4, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -184 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, 0, 1],\n [-3, -4, 0, 2],\n [0, 0, 3, 0],\n [1, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -321 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 1, -2],\n [4, -4, 4, -4],\n [3, -2, -3, 2],\n [-2, 1, 0, -4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -82 | 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, 2],\n [2, 2, 3, -3],\n [2, 3, -2, 0],\n [2, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5393 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, -4, 1],\n [-3, -2, -3, -2],\n [0, 1, -1, -4],\n [4, 0, 2, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 22 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, 2, 0, 1],\n [2, -1, -2, -2],\n [0, -2, -2, 4],\n [1, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -74 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, 4, 1, -1],\n [0, 1, 0, 2],\n [-2, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -42 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, 0, 1],\n [-1, 3, 2, 0],\n [0, 2, 3, -2],\n [1, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 108 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, 2, -4],\n [-1, -4, -2, 3],\n [1, -3, 1, 3],\n [1, 3, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1686 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 3, -4],\n [3, -4, -2, 3],\n [1, -4, -2, -3],\n [1, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -95 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, -3, -3],\n [4, 2, 3, -2],\n [4, 3, 2, 4],\n [-2, -1, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -914 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 2, 2],\n [-2, 4, 2, -1],\n [4, -1, -1, -4],\n [-2, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -38 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[3, 0, 1, -1],\n [0, 0, 2, 2],\n [1, 2, 4, 2],\n [-1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 187 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 3, 4],\n [4, -1, -3, 4],\n [2, 3, -1, 2],\n [-4, 2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1186 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, 0, 1, 0],\n [0, 1, -1, 2],\n [1, -1, -2, 0],\n [0, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-1, -2, 0, 0],\n [1, 4, 1, 1],\n [1, 0, 3, 1],\n [0, 3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 154 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[4, 0, 0, -1],\n [0, 2, -2, 1],\n [0, -2, 2, -1],\n [-1, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -179 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -1],\n [-1, -3, 1, 0],\n [0, 1, -3, -1],\n [-1, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1285 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -1, 2],\n [2, 0, -2, 0],\n [-1, -2, -3, 1],\n [2, 0, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1230 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 3, -2, -1],\n [0, -4, 1, 1],\n [2, 4, -4, 3],\n [4, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1347 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 1, 0, -4],\n [2, 1, -2, 1],\n [0, 4, -1, 4],\n [-1, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 309 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, 2],\n [-2, 4, 1, 0],\n [0, 1, 3, 0],\n [2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 828 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -1, -1],\n [0, -3, 0, 2],\n [-1, 0, 3, 2],\n [-1, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 70 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[3, 0, 3, -3],\n [-1, -4, -1, 0],\n [-4, 3, 0, 0],\n [-3, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -189 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, -1, 1, 4],\n [2, 2, -3, 0],\n [-1, -1, 0, 2],\n [0, -3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -94 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, 2],\n [2, -3, 0, -4],\n [0, 0, 1, -2],\n [2, -4, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2658 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, -1, 2, 2],\n [-1, -4, 0, 2],\n [2, 0, 3, 0],\n [2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, 0, -1, 0],\n [0, 2, -3, 2],\n [-1, -3, -3, -1],\n [0, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 4, 3],\n [3, -1, 1, 4],\n [2, -2, 3, 2],\n [-3, 3, -2, -1]]\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 all entries of the result:\nA =\n[[-1, 0, -2, -4],\n [0, 1, -3, -3],\n [-2, -3, 4, -1],\n [-4, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4233 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, 2, 0],\n [1, 2, 2, -1],\n [2, 2, 1, 0],\n [0, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 205 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -4, 2, -2],\n [4, 1, 1, 2],\n [-4, 2, 3, 3],\n [-3, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 246 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, 0, -1],\n [-2, -4, 2, -2],\n [0, 2, -2, 1],\n [-1, -2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4681 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -3, 2, -3],\n [-3, 4, -2, -1],\n [2, 1, -3, 4],\n [-4, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1185 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 1, 0],\n [0, -2, 1, 0],\n [1, 1, -3, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 159 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, -3, -3],\n [1, 3, -2, -3],\n [-3, -4, -3, 4],\n [-1, -2, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4966 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, -2],\n [0, 1, 4, -2],\n [0, 4, 2, 2],\n [-2, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3034 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 4, 3, 3],\n [-3, -1, 3, -2],\n [-4, -3, 2, -4],\n [2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2392 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, 2, 0],\n [4, -4, 3, -4],\n [1, 4, 0, 0],\n [3, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 357 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[3, 0, 0, 2],\n [0, 4, 2, 0],\n [0, 2, 3, 0],\n [2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[0, 0, -4, 3],\n [-3, 4, -4, 2],\n [-4, 4, -1, -2],\n [-1, -1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -29 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 2, 2],\n [3, -2, 2, 0],\n [2, 2, 4, -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"
}
] | 1431 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, -3, 0],\n [-4, -4, 1, -2],\n [4, 0, 3, 4],\n [-1, -1, 3, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -12 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -3, 3, -4],\n [2, 3, 4, 4],\n [-3, 2, 4, -1],\n [3, -1, -1, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 131 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 0, -1],\n [2, 0, 4, 0],\n [-1, 3, 4, 1],\n [-2, 4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6509 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, 1, 3],\n [1, 4, -2, -4],\n [4, -2, 2, -2],\n [-3, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -231 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 1],\n [2, -4, -4, -1],\n [4, 4, -1, 1],\n [-1, -1, 3, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -47 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, 1, -4],\n [1, 3, 3, -4],\n [-3, -1, -4, -1],\n [2, -1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1516 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[2, 2, 4, 2],\n [-3, -1, 4, 1],\n [-1, -4, -4, 4],\n [1, -3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 44 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 0, 0],\n [0, 0, 1, -2],\n [0, 1, -4, 3],\n [0, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 145 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -2, 0],\n [-1, -3, 4, -3],\n [-2, 0, -2, -4],\n [1, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, -4, 2],\n [0, -2, -1, 0],\n [3, -1, 0, 4],\n [4, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 755 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, -4, -3],\n [1, -3, 2, 1],\n [-4, 2, 3, 2],\n [-3, 1, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 74 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-4, -4, -4, 2],\n [-4, 2, 0, -2],\n [-4, 0, 1, 0],\n [2, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -512 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 2, -3],\n [1, -3, -2, 0],\n [2, -2, 3, 0],\n [-3, 0, 0, 1]], determine the value at position (4, 3).\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^3 where A is:\n[[-1, 2, -1, 1],\n [3, -3, 1, 0],\n [4, -4, -3, 4],\n [2, 3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 612 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, -2, 4, -1],\n [3, -1, 3, -4],\n [-1, 0, 0, 1],\n [1, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -4, -1, -3],\n [3, -4, 4, 4],\n [-1, -4, 1, 2],\n [-3, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 870 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 3, 0, 4],\n [3, 4, -1, 3],\n [0, -1, -2, 0],\n [4, 3, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1130 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, -2, -1, 3],\n [0, 3, -4, 3],\n [-3, 4, 4, 1],\n [0, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -105 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 4, 3],\n [0, -1, -3, -3],\n [-3, -4, 4, 0],\n [1, 0, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -68 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 4, -4],\n [4, 3, 1, 0],\n [-2, 4, 2, 0],\n [0, -4, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1176 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -1, -3, 0],\n [-4, -3, 1, 3],\n [0, 0, 1, -3],\n [1, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 463 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 1, 0],\n [-1, -2, -4, 0],\n [1, -4, -4, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 802 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, -3, 0],\n [-2, 4, 0, 2],\n [-3, 0, -1, -4],\n [0, 2, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3448 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[1, -2, -2, -4],\n [0, -1, 3, -4],\n [-1, -1, -2, -1],\n [-3, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -94 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 4, 0],\n [2, 0, -2, 0],\n [4, -2, 3, 4],\n [0, 0, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5837 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, -1, 2, -1],\n [-2, 1, -4, -2],\n [0, 3, 0, 0],\n [-3, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 252 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, 1, -4],\n [1, -2, -3, -2],\n [-3, -4, -1, 1],\n [3, 3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1255 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 3],\n [-2, 4, 0, 3],\n [1, -1, 2, 1],\n [2, 3, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 838 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, 1, 3, -4],\n [-2, -4, 0, 4],\n [-2, -4, 4, -3],\n [3, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -71 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -1, 2, 2],\n [-1, -2, 4, -2],\n [-2, 3, -2, -1],\n [-3, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3627 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 1, 3],\n [-4, 4, 4, 4],\n [1, 1, -1, 0],\n [3, -2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 564 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[2, 0, 0, 2],\n [0, 3, 2, 0],\n [0, 2, 1, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 0, -3],\n [0, 3, -4, -4],\n [0, -4, -1, 0],\n [-3, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -432 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, 0, 0],\n [-1, 4, -3, 3],\n [0, -3, 4, 0],\n [0, 3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 128 | 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, 3, 3],\n [-4, 4, 0, 3],\n [2, 2, 0, -3],\n [-4, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3129 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-1, -1, 0, 1],\n [-1, -2, 1, 0],\n [-2, 4, 0, 3],\n [-4, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 19 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[4, -1, -1, 0],\n [-1, 0, -3, -2],\n [-1, -3, 2, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 238 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -3, 0, 0],\n [-3, -1, -4, -1],\n [0, -4, -1, -4],\n [0, -1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13867 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, -3, -1],\n [2, 4, -2, -1],\n [-3, 2, 1, -2],\n [-3, 3, 2, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -33 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, 0, -2],\n [-2, 2, -2, 0],\n [0, -2, 3, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -40 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[1, 2, 0, 2],\n [2, -4, 2, -2],\n [0, 2, 0, -2],\n [2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -270 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, -1, -1],\n [-2, -1, 2, 2],\n [-1, 2, 1, 4],\n [-1, 2, 4, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -110 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[0, 1, -4, -3],\n [-1, -3, 3, -4],\n [-1, 4, -4, -2],\n [4, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2033 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 3, -1],\n [0, -2, 1, 1],\n [0, 1, -4, 1],\n [3, 2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 601 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 2, -1],\n [-3, 4, -2, 2],\n [2, -2, -1, 2],\n [-1, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1487 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0, -2],\n [1, 1, 0, 1],\n [0, 0, 3, -3],\n [-2, 1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2626 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, -2, 2],\n [3, 2, 0, -2],\n [-2, 0, 4, 1],\n [2, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 34 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, -3, 1],\n [-2, 0, 0, -4],\n [2, -4, -1, 2],\n [0, 4, 2, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -88 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -2, 0],\n [0, -3, -1, 2],\n [-2, -1, 3, -3],\n [0, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1007 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 2, -2],\n [3, 0, 1, 0],\n [-4, 3, 4, -2],\n [0, 3, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 542 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, 2],\n [-2, -3, 0, 2],\n [0, 0, -1, 2],\n [2, 2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -39 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, 0, 0],\n [4, -4, 0, 1],\n [1, 4, 3, -3],\n [0, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1288 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 4, -2, 0],\n [-2, -4, -1, -3],\n [-3, 1, -2, -1],\n [-3, -3, 0, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -66 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 0, 1],\n [3, -3, 0, 4],\n [-1, 4, -1, 4],\n [2, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8212 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 3, -1],\n [2, -4, 1, 3],\n [-2, 1, 0, 4],\n [2, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 44 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 0],\n [0, 1, -1, -1],\n [2, -1, 0, -1],\n [0, -1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 165 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.