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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