If is an orthogonal matrix

MATHEMATICS · Numerical · CBSE · Mathematics · Matrices · Matrices

Problem

\begin{bmatrix}0&2\beta&\gamma\\\alpha&\beta&-\gamma\\\alpha&-\beta&\gamma\end{bmatrix}

is an orthogonal matrix, find the value of

2\alpha^2+6\beta^2+3\gamma^2