The matrix P=(010100001)P = \begin{pmatrix} 0 & 1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \end{pmatrix}P=010100001 is an orthogonal matrix. What is P2025P^{2025}P2025?
PPP
III
−P-P−P
(100010001)\begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix}100010001