Show that the matrix A  = `(1)/(3)[(1,2,2),(2,1,-2),(-2,2,-1)]` is orthogonal, Hence, find `A^(-1)`.
Channel: Doubtnut
Date: 2020-05-09

Show that the matrix A  = `(1)/(3)[(1,2,2),(2,1,-2),(-2,2,-1)]` is orthogonal, Hence, find `A^(-1)`.