(Solved): 3. Determine if the matrix is orthogonal. If it is orthogonal, then find the inverse. \[ \left[\begi ...

Determine if the matrix is orthogonal. If it is orthogonal, then find the inverse. \[ \left[\begin{array}{rrr} -\frac{1}{3} & -\frac{2}{3} & -\frac{2}{3} \\ -\frac{2}{3} & \frac{2}{3} & -\frac{1}{3} \\ -\frac{2}{3} & -\frac{1}{3} & \frac{2}{3} \end{array}\right] \] Select the correct answer below and fill in any answer boxes within your choice. B. The matrix is not orthogonal.