Let $P$ be an $ n \times n$ permutation matrix. Does the list $\{ P, P^2, P^3, \dots, P^n \}$ contain $P^{-1}$ ? If so, any proof without using group theory?
2026-03-25 11:11:46.1774437106
Permutation matrix inverse in $\{ P, P^2, P^3, \dots, P^n \}$
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