I'm stuck on this problem. I am not sure why the question is only about $M_{3\times3}(\Bbb C)$. Isn't this problem true for $M_{n\times n}(\Bbb C)$?
2026-03-25 20:36:28.1774470988
Let $0=A \in M_3(\mathbb{C})$ be a Hermitian matrix. Show that $A^k=0$ for all positive integers $k$.
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