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Find-all-2-2-matrices-A-with-A-3-3A-2-2-2-2-2-




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

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