MATH 307 Lecture 34: Lecture 34 Mar 25, 2020 4_47_52 PM
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Con"t chpla de1cai a characteristic polynomial in a degreen cais nxn. 21 find all roots ofph i e pla x az ca tn x xi. Find a basisfor thesolutionspace of chi a v i i e find nini a. Pla det il a det d 3 6 7 x g 5. I be ka l 15 i n 3 x 8 n d 1to. N 12 2 144a 48 x 2 x 4 x b m 2 112 4 3 6 are eigenvalues ofa. Eigenvectors n 2 solve 121 a v i. O 1 o c eigenvector associated with di 2 e o it y. Pak n d2 x 2 a d2 1 113 2 repeated eigenvalues n i. I i alr i is fo it fee solve x3 2. A 12g z f pal detln uppertriangular x 2 3. Aif f pix ntl o ar i ar i.
