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A projection matrix (or a projector) is a matrix P for which P2 = P. a)...

A projection matrix (or a projector) is a matrix P for which P2 = P.
a) (10 pts) Find the eigenvalues of a projector. Show details.
b) (10 pts) Show that if P is a projector, then (I – P) is also projector. Explain briefly.
c) (5 pts) What assumption about matrix A should be made to run the power method?

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