[3 0+ | Let A E Tax", let A be an eigenvalue of A' A and I EMMY for be the corresponding eigenvector . ( a) Show that\\\\ AI| } = A| | |} and hence that A_ ! !. ( 6 ) Let \\\\ ."I be a norm on {" with associated subordinate matrix norm \\\\ . II on * ** Show that | All= = 1|A``ALL 1/2 ( Hint : first show that A = | A``All ] ( C ) Using part ( b ) with matrix norm . 1 , show that mal Al ) = [ kil Akkal A ! ! ! !'