Assume, that $A$ and $B$ are matrices. Which of the following statements are true and which are false? Note that such an assertion is proved to be untrue by giving a counterexample, namely concrete matrices.
If $AB$ = $B$ and $B$ $≠$ $O$, then $A$ $=$ $I$
If $AB$ $=$ $I$, then $A$ is the inverse of $B$
This has been driving me nuts... any help on how to proceed this. I just cannot seem to find the correct concrete examples like they're asking.