Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
are matrices A and B inverses A =[-5 -18 2 7] and B=[7 18 -2 -5]Question
Are matrices A and B inverses
A=[[-5,-18],[2,7]] and B=[[7,18],[-2,-5]]
A=[[-5,-18],[2,7]] and B=[[7,18],[-2,-5]]
Answers
There are no human answers yet.
Answered by
GPT 3.5
To determine if two matrices are inverses, we can multiply them together and see if the result is the identity matrix.
Using matrix multiplication, we find that:
AB = [[-5*-2 + -18*-5, -5*7 + -18*-2], [2*-2 + 7*-5, 2*7 + 7*-2]]
= [[10 + 90, -35 + 36], [-4 - 35, 14 - 14]]
= [[100, 1], [-39, 0]]
The resulting matrix is not the identity matrix, so matrices A and B are not inverses of each other.
Using matrix multiplication, we find that:
AB = [[-5*-2 + -18*-5, -5*7 + -18*-2], [2*-2 + 7*-5, 2*7 + 7*-2]]
= [[10 + 90, -35 + 36], [-4 - 35, 14 - 14]]
= [[100, 1], [-39, 0]]
The resulting matrix is not the identity matrix, so matrices A and B are not inverses of each other.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.