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University of New South Wales *

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2801

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Electrical Engineering

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Oct 30, 2023

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pdf

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4

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4cda74d7 2.png (PNG Image, 666 x 739 pixels) file:///tmp/mozilla deniskaO/4cda74d7 2.png Q1 a) _ 3— -1 = ( 3 1) pa(z) = det (A zI) =’ 1 3 pa(z)=...=2°—62+8 e-values: Ao =4,2 e-vectors: -1 —-110 —1 A =4 (A—412)X=0 =4 = X1 = -1 —-110 1 A 21 0 S - x 1 = = ~ = =2 (A4-2h)x 1 1|0 27 \1 http://bb2.durackpl.com 1of1l 6/8/19, 2:05 pm
72d62e36_2.png (PNG Image, 645 x 589 pixels) file:///tmp/mozilla_deniska0/72d62e36 2.png Q2 a) Q is orthogonal if and only if QTQ =1 cosa —sinao R, = . sina coso yes no 1 /-3 4 Q=+ 5\ 4 3 QTQ =, = Q is orthogonal 1 det@Q = (—32 o 42) =—1 = Q is not a pure rotation 1ofl Loading [Mathjax]/extensions/Machoom.jsW http://bb2.durackpl.com welcome! 6/8/19, 2:05 pm
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