solutions_502_02

solutions_502_02 - §0La7<owg MATH 323-502 QUIZ 2 Fall...

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Unformatted text preview: §0La7<owg MATH 323-502, QUIZ 2. Fall 2010. NAME... ........ .... ROW..._.._-.....----- Show all steps for credit; 1 Q1. (4 15133.) Find the inverse of the matrix I 112 123 . (113) ((2/(Goizzft (lilo ( 2’ g 0' c. ___'5 0 t ‘ "’( l ( 7) 00 \ £34?! C9 0 ( ”( KKK; ( o ( 2. ‘4 0 \ > $ ( I ’\ K O O o ‘ -—( 0 \ mg /) (C) 0 1 ~( "( €23? 5 A 7' 5 ( ~( ’( ‘0 ( Q2. (3 pts.) If A is an n x n matrix satisfying A3 ‘= 0, prove that I — A is invertible with inverse I + A + A2. v(:-A)[ZA'A+AZ) = I+A+AZ»/4»A2'AZ _. 3 1: __,_ '14 1: z —( F. 1 I Q3. (3 pts) Let n x n matrices A and B satisfy AT = —A, BT = —B. If AB , is symmétriq prove that AB = BA. Cem- AK; oamutn‘c/ AK -=— (A6337: @[email protected])(*A> : EA 4,, Maxi. ...
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solutions_502_02 - §0La7<owg MATH 323-502 QUIZ 2 Fall...

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