# Matrix Representation : Orthogonal Transformation

Please see the attached file for full problem description.

1. Show that the 3 x 3 matrix P= [ 1/2 -1//2 0 ]

[ 0 0 1 ]

[ 1/2 1/2 0 ]

is an orthogonal matrix. Show work.

Help:

: is the square root of

https://brainmass.com/math/matrices/matrix-representation-orthogonal-transformation-12942

#### Solution Preview

Please see the attached file for the full solution.

Thanks for using ...

#### Solution Summary

A matrix is shown to be orthogonal using transpose and inverse. The solution is detailed and well presented.

$2.19