solutions_502_08

solutions_502_08 - <OLM’T(OM§ MATH 323-502, QUIZ...

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Unformatted text preview: <OLM’T(OM§ MATH 323-502, QUIZ 8. Fall 2010 NAME _______________ __ ROW ______________ __ Show all steps for credit. Q1. (3 pts.) Let E be the standard basis for R2 and let B = {b1,b2,b3} be a basis for R3. Define L : R2 —> R3 by L $111b1 + (x1 +x2)b2 + + 3x2)b3_ Find the matrix of L for the bases E and B. La»: L(+éz+Lz L(0(> tn ’39 w h g 0 I l ‘ , 3 w Q2. (3 pts.) Let S = span{sinx,cos :13} Q C[0, 1]. Define L : S’ —> S by L(f($)) = f”($) + f’($), f (a?) E 5- Find the matrix of L with respect to the basis {sinx, cos L(n—Lsc§ 1‘4o‘xk +Cea>< fl vva/nk 9, Q3. (4 pts) If A is similar to B and B is similar to C, prove that A is similar to 0. [g A ; S-(ég‘ K00 8-; 746’!— m A : Cfl’TdCT-g, (Rx? R : TS {2 5%," A 7. R_(CQ no A c4 Oiw'~(d {2 C- ...
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This note was uploaded on 04/03/2012 for the course MATH 323 taught by Professor Boas during the Fall '08 term at Texas A&M.

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solutions_502_08 - &amp;lt;OLM’T(OM§ MATH 323-502, QUIZ...

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