Question: Determine whether each matrix is orthogonal.

1. \(A=\left[\begin{array}{lll}0 & 1 & 0 \\ 1 & 0 & 0 \\ \frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}}\end{array}\right]\)
2. \(A=\left[\begin{array}{ccc}\cos \theta & \sin \theta & 0 \\ \sin \theta & -\cos \theta & 0 \\ 0 & 0 & 1\end{array}\right]\)

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