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

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.