Question

How do you find the inverse of `A=``((-2, 5), (6, -15), (0, 1))`?

Answer 1

Only square matrices have inverses.

Explanation:

The inverse of a matrix `A` is a matrix `A^(-1)` such that
`A A^(-1) = A^(-1)A = I`. Note, though, that for a non-square matrix, the dimensions of `A A^(-1)` will necessarily differ from `A^(-1) A`, and so not only is `I` not well defined (what size is `I`?) but the first equality cannot hold at all.