Gyorgy

http://is.gd/cgy105628

:

Is there a counterexample for the statement below?

$ \alpha,~\beta,~\gamma \neq 0,~~ \alpha,~\beta,~\gamma \in \mathbb{R},$ also matrix $ A,~B $ are not zero matrices,

then $ \alpha AB + \beta A + \gamma B = \mathbb{O} ~~\Longrightarrow~~ AB=BA$