Lecture 10 - Lec-iut'e \ O Lineqr Conqyvencet , Wan* )u...

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Le c-iut'e \ O Lineqr Conqyvencet , Wan* )u AZfr. ot xZ b (rnod ,,") U da=y' frnodra) then a- r! a1r |'1urrs es?a Ynolulo, n. lltm'. TS a.c,nd vn are retq.irvely prihe cnd rn 2! *hea an inverJe o,9 rnodvlo rr d.es e.y$l- proof '. gcdh,yn\ =1 5r'4ag dond rT, clre_ r€la*i,e(y ?r,\e &, +tn = L Sr in,le9er6 S,6. frem Evc)ideon Alyori*ht6. Thus, sa + tW :1 /rnod rn) so saTL ",=;.'i':,^) Thtrs S is *t"e i4verJe s$ a, Elercge: Show inverse of a lnsQ. .lo^ t^6 vn,Yue (nodulorn) E6: t x= 7 /rnoa eS) ' ihuerre of 6 rnod 9.3 is 3, 6(s+eg)=1 aa) ff o end rn nol velq+tuel y pyirl,e. . : Thgn nc, ihverce erGds. P.rrve by con*o1dr*io6: A''vme inrerse 5- @ts'lc 5o 6^ = 7 /rnol, r,n) Thc^s, adffiti t|1 f 7 tor So,',e ip leger )f . Le+ d=3cd(a1^\=7 Does d dLvrde K'n,+!? /Vcsw, d J,'vr'des lr.r1 So if drvrlpg Krn So i* can'*du'de km il. . - Bu + d d 1vrf, e5 ct t so d d,v,.lqs ad wa* 1- ao SrrlVe CovtgrUewes f n Tenpvu\ core +r,o 1 ftaa. ke o o-rJ ,y4 retolrvelt pii,n, Divrcle bv "6t(o,rn\)
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/llrrlyls,or.'frtcrl Tn dvc*ttn ( +,)) To p-u" P(n) 'i *rue fur al-r ?osr''ru,e ihtge,s h O Bc,s,3 Ste: Verlhv l"l l) rs *rue, '@ Tndwfr'lrc. S*ep: Show |lha,+
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This note was uploaded on 02/05/2009 for the course MATH 2800 taught by Professor Mitchell during the Spring '08 term at Rensselaer Polytechnic Institute.

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Lecture 10 - Lec-iut'e \ O Lineqr Conqyvencet , Wan* )u...

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