HW2 Problems 1. (20 points) (a) (10 points) Given a real symmetric matrix A, show that solution to arg, maxx Ar subject to |x|2 = 1 is given by the eigenvalue decomposition of A. (b) (10 points) Given two real symmetric matrices A, B of same dimensions, figure out a way to solve arg, maxx Ar subject to a Br = 1. In doing so answer i. Under what condition(s) such maximum exists? ii. Derive an analytical solution by eigenvalue decomposition