The matrix \( A=\frac{1}{3}\left[\begin{array}{ccc}1 & 2 & 2 \\ 2 &...

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The matrix \( A=\frac{1}{3}\left[\begin{array}{ccc}1 & 2 & 2 \\ 2 & 1 & -2 \\ -2 & 2 & -1\end{array}\right] \) is
\( \mathrm{P} \)
(1) Orthogonal
(2) Involutory
(3) Idempotent
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