quiz9

# quiz9 - b/c Nr A2 r\r-t_^=ora,=}o-l\r-r\= t-z)cltz*i=o 1=...

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Mat}r245 Flomework Quiz #9a, Fall 2008 circle section: 8am, 9am, 12pm Print Name: Consider the 1st-order system given by *' : Ax with A : ( ? -i ) Answer to the fcrllowing \r'' -Ll questions: 1. Find ali eigenvalues and corresponding eigenvectors of A. :r =) f'l (LU r\F = o - \\/b,\ \l = l=9 -) - | /\tz-.1 r/ + (z \: 1='lr= '1 { ( h - t)E = q ( . :: ) tl:)=e -, rype: S^JJ Qt tl- 1 \ -z r-: .//
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Unformatted text preview: b/c Nr A2 r \r-t -\ \ ;_^=ora,=_{ ,}o-l// \r -'--r\= t?'-z)cltz)*i=o -) ) 1= \ ?- 4l 3 y, * !,= o j \r=3/n -J !.,,. /-*> I !, - \,-.r -, Y,: H | !.=,{ -:-) {' = 01, 2. Find the fixed point of the system. Classify the type of the fixed point, and determine whether the fixed point is stable or unstable. Fixed point: (1, ,I.; . (0, D ) /i// Stability: LUwb{p /...
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## This note was uploaded on 11/08/2009 for the course MATH 245 at USC.

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