Prove that matrix [((b^(2)-a^(2))/(a^(2)...

Prove that matrix `[((b^(2)-a^(2))/(a^(2)+b^(2)),(-2ab)/(a^(2)+b^(2))),((-2ab)/(a^(2)+b^(2)),(a^(2)-b^(2))/(a^(2)+b^(2)))]` is orthogonal.

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To prove that the given matrix \[ A = \begin{pmatrix} \frac{b^2 - a^2}{a^2 + b^2} & \frac{-2ab}{a^2 + b^2} \\ \frac{-2ab}{a^2 + b^2} & \frac{a^2 - b^2}{a^2 + b^2} \end{pmatrix} \] ...

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