Let $V$ be a complex vector space. Let $A$ be a linear transformation such that $\sigma (A)=\left \{ 5,6 \right \}$.Prove that $(A-5I)^{n-1}\circ (A-6I)^{n-1}=O$, where $n = dim(V)$.
No idea how to start. Any hint is welcome.
2026-04-01 17:22:35.1775064155
Linear transformation with given spectrum
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