From the unit vector u = 1 6 , 1 6 , 3 6 , 5 6 , construct the rank-1 projection matrix
Chapter 5, Problem 5.1.25(choose chapter or problem)
From the unit vector u = 1 6 , 1 6 , 3 6 , 5 6 , construct the rank-1 projection matrix P = uuT . (a) Show that Pu = u. Then u is an eigenvector with = 1. (b) If v is perpendicular to u show that Pv = zero vector. Then = 0. (c) Find three independent eigenvectors of P all with eigenvalue = 0.
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