Is there any property that relates inverse matrix and identity matrix?
2026-04-21 04:25:38.1776745538
True or false: If $A$ is an $N\times N$ matrix with $A^4 - 2A^2 +5A -2I_n =0$, then $A$ is not invertible?
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Hint $$A \left( A^3 - 2A +5I \right)=\left( A^3 - 2A +5I \right)A=2 I_n$$