Question Number 140459 by EDWIN88 last updated on 08/May/21
$$\mathrm{Find}\:\mathrm{all}\:\mathrm{2}×\mathrm{2}\:\mathrm{matrices}\:\mathrm{A}\:\mathrm{with}\: \\ $$$$\:\mathrm{A}^{\mathrm{3}} −\mathrm{3A}^{\mathrm{2}} \:=\:\begin{pmatrix}{−\mathrm{2}\:\:\:\:\:\:−\mathrm{2}}\\{−\mathrm{2}\:\:\:\:\:\:−\mathrm{2}}\end{pmatrix}\:.\: \\ $$