Probably an easy question, but can't find anything about it on the internet and it's not in my book. I know the product of two inverse matrices is an inverse matrix. Is it possible to get an inverse matrix if you multiply an inverse matrix with a non invertible matrix? Same with two non-invertible matrices.
2026-04-14 19:18:40.1776194320
Product of inverse matrix and non-invertible matrix
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In case you haven't seen determinants suppose that $AB$ is invertible. Let $C$ be the inverse of $AB$ then:
\begin{align} (AB)C = I \\ A(BC) = I \end{align}
So $A$ is invertible.