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quiz8_sol_ma262

# quiz8_sol_ma262 - MATH 262 Quiz 8 November 10 SA PID...

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Unformatted text preview: MATH 262 Quiz 8 November 10 SA PID: Section: 009 Solve the problem systematically and neatly and show all your work. —- 1 —1\ 2 2 A —}\I l L — l 4 ..)\ I (a) Find all the eigenvalues of A. 0 0 3..)\ (C) Determine whether A is defective or nondefective. Sf: @ pm»— BNJSA 4:] = -m—2w\~s)":o =>[/\r~% AMPS) Name: 1 l. (6pts) Let A = [“1 0 Opp-N} OBI—“LO (b) Find all the eigenspaces of A. 4i -1 2 z o REF-LU ﬂ; —7; o v.=zvz = 3 3 [‘1 7— t 0] [—0 0 LL 0] vizs A, l 0 0 l o o 0 0 o V5.20 ”Blatlvélks‘ “J-Swno) 56m.) ‘- l ‘Uj ‘l ”I D VI‘VLTVB 3E‘WW‘S DJZQZHJLV) = t(t,;,0)+YCI,o,/) , twig; '1: 2," ; G; W 5/e A 1.20 5 L.1 enjawulbﬂs {(2.50)}(l.l.0)}H.o,Dl 2 0 —1 2- (4pts) ShOW that A = 2 1 —1] is defective. 0 0 l 2~/\ 0 —' 3 __ 2—/\ o _ L _ 361D. A-A1: [2 ,_ _'|] PM) (10/ 2, ”A! -0-“ (2,4) .____. o 0 )~/\ _ :2 AI‘JAL -” A9 # ’ O “I O BEF'D D _’ 0 Q .. .. 303513 “[2 010]“ O /':AZ:| (ANTOV o o 00 531500 ...
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