If A is an x matrix and X is an x1 column matrix and U is a subspace such that
Show that since A is an orthogonal matrix:
<< for those who don't know the notation. simply means the corresponding eigenvector of with respect to the eigenvalue, 1.
Someone wanna give me a hand? Here's what I did. I stated that since A is orthogonal, we know that
then i went ahead and did
multiplying both sides by A
<<< since since A is orthogonal
and now i'm stuck.. don't know where to go next..
Any help appreciated! =D