Find the permutation matrix $P_n$ that "cyclic shifts" $(1, 2, \dots, n)$ to $(2, 3, \dots , n,1)$.
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2026-03-26 01:00:18.1774486818
Finding the permutation matrix that "cyclic shifts"
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Hint:$$\begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0\end{bmatrix} \begin{bmatrix} a \\ b \\ c\end{bmatrix} = \begin{bmatrix} b \\ c \\ a\end{bmatrix}$$