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Unformatted text preview: jAd ec$ h w i ‡„„ d ¡ hq „ d f dr „ t d Ÿ AFgs`˜ jgšc$ B=0 C2 = 0 D2 = D B D = 0, I ‘ …p ‘ p d gFA€x t FWv uY`sr • w d hr d w€ tƒ x „} „ ˆ „d A“’ B2 = 0 A AB = 0 ˆ 5… C3 = 0 a, b, c ∈ Z g (x) ∈ Z[x] g (x) ∈ Q[x] A, B, C, D A = ±I n×n „ C x1 + x 2 = 1 x 2 + x 3 = 1 . . . x n + x 1 = 1 f (x) f (x) ∈ Z[x] p p‘ i s`–g€W7jS‚ d ’ hr  f d x w i k u y —£ & q —£ & a —£ & A =I 2 BA = 0 ž n>1 A + A, A + B, AB, AC, AC + 2C, AD − 3D, D 2 , BC, CB. ‡ 7™… p‡ ‘ – pq 7– 'p q gq ˆ ‰t d ggd sr t d w d t dr d • œ x € t ƒ x gFgdgsAFW7v ušv r ƒ rd w d A…W‡ Ff › 1 A = 2 3 2 3 4 3 4 , B = [ −1 5 −1 −1 2 −3 ] , C = 2 , D = 2 3 . 3 34 −2 ‘ – p qp 7– 'cp p ‰w€ tƒ x CFWv ušv r ƒ • fd x wdidhfd b $ W‚ g€–gWAFFgec™™ p qˆ ‘ p‘ qp p  …Wp qˆ ‘q ‘ ” p q ph „ ƒ ‚r  f d x w d r „v w d iv t d ‚ up F7q `p Fgu”sv dt …gWjgWAd d ‘ €p w Š – Fw „ ƒ ‚r  f d x w d r w d F7`Fg€ssv dt —gWi d 77Ad gs7AFFgdF F”4” sf  dt q „ ˆ F‘ƒ sWpgC… g7AFFgd „ ‚ i t d r i d h f d t t  p ‘ w Ip Ff • r • v w t p dt d r i d h f d hr d Šh p sAuq x ƒ ˆ p z Š...
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This note was uploaded on 12/26/2012 for the course MATH 001 taught by Professor Balazslaki(amongothers) during the Fall '09 term at ENS Cachan.

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