Solution
= Solution
For a <Hermitian matrix> $H$, $H^\dagger=H$. Reversing the product of $n$ identical factors has no effect, so
$$
(H^n)^\dagger=(H^\dagger)^n=H^n.
$$
Hence every positive integer power is <Hermitian>. The identical-factor condition matters; a product of different <Hermitian matrices> need not be <Hermitian>.