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Matrix Representation : Orthogonal Transformation

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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

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

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