Solved: Let A be an m n matrix and let 1 be the largest singular value of A. Show that
Chapter 7, Problem 43(choose chapter or problem)
Let A be an m n matrix and let 1 be the largest singular value of A. Show that if x and y are nonzero vectors in Rn, then each of the following holds: (a) |xTAy| x 2 y 2 1 [Hint: Make use of the Cauchy-Schwarz inequality.] (b) max x=0,y=0 |xTAy| x y = 1
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