Two matrices $A$ and $B$ satisfy the equation $$AB=I+2A$$ where $I$ is the identity matrix and $$B=\begin{bmatrix}3&-2\\-4&8\end{bmatrix}$$
Find $A$
I’m stuck on this Matrices question. I’ve tried multiplying both sides by the inverse to get rid of B, but I don’t know what to do next.
Treat it as an equation $$AB=I+2A\iff AB-2A=I\iff A(B-2I)=I\iff A=(B-2I)^{-1}$$