2J_hw1.4_2.2

2J_hw1.4_2.2 - I a. LO I J b, f I a r-l +ype c. Losl [z o...

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I | 1gu I[- +\fe1I rod no ll,'7lied bt'L Ll. 2nd on| 3'd ro,,Jj al€ tnlerchanled blc 3'4 rou .s 2 lt rnes rl,i 2 pl,:S fotA3 e , Bo*h s kuld X'A-'b lfr?l lisil I a r-l LO I J [z o-l Losl hol-a,n EA =h "-[ttl] [: J]= l; 3] wc s+ b Ll ?;l[: iil=l: I 1l e [":-,|[ ;i] =f5 :il solve h-'b = 'A-'b 'A-'b' b, To t L)x: c. ) +ype f a. b, ale^un^rr( natrty A-t, ro,-put? AA-' c^nd A-'A h lha ' iJentiit ' AX=b rJSrnq A-', Ccptpule f-" T:3Jr11 l:l L cr -7 u'Jl,' J=L J [], 1-rl I;l :[l Lo -z 3J L;l L'l h iil lt=[r,l , b'' exual q) o. To veri {y t{) x i;i) x
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(o tu i o :! ..t8) ,: :| 1i l : i I 1 ' 1., /3 , /'b I '/o i, -7t F,"J Gtven A= | s 't l5 Cu-7rle A- t f z i ;t t5 Li,c ;l '= [; ;] ol ta,,P. t ,/o :: ,/" o I /l Lse-,'c lJ ,l 3k)RL r '/s)lu cl il I 'J ;c l"-531 L =f L -t I l-s 3J ll lr ir o; !, tc I lil; =l; ; l YA=B f;;l k;l X=A-'8, 2 L-s '5 F',+t?, ) P'" jR"rQ, n,€R^ :e f- -{ ,', A-' q, F;nc X AX=E Ciu", ltr"l fherq is q bJu kna* = [:,i i] B is s tngu tar. trl Thear, ^ , 1, 7 {^.)e knrrJ rtonlrivtql snltlron fa bx =C. Call lhts "oluh'tn 13x*=O bu* xotC, lrlotJ cons,Je. Cx* " CX*= ABx* b'i ,lut,n,Jiavr"fL , h \xx -- A(Bx*) "- A o : Q b,l crbaun Fo.* *ho,* Bx*=a, Re"rrl( th"+ x* LJas rlon{rt,ti<(, s0&rc hauesla,^t^ fherq is cL r1,a,tlr,,/tc,( Sa[,t{,an tu Cx =C" So, by Theore* / Ll,\ C nusl b s ingulo, * I_ Y s,t, B A-t -- ?raof: x .r(
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,l [t n'f A'' L A r] = Ln,/ A-'rf : Iil A =[+A] =fo! 1n]tn ll= fn,A rt,l Lrl lA rl tn rl I n'l AAr + T ljJ t) a, b c, d, () a\r- >ee. f ,5 -rr n''l [n r] L z l c^,(?,,)B Lz- AB: I z -l r"ll v _t "{ ' Nr)+n: *ranspase bb.k olon| ,"1, fA rrrl ol *l* slr*{are. here Lup, bioabs t/1 o,yy rcf r ;,"{e l7 0o ,nlerrcr ,n.t ll,p[,,,,Y, .h :l =f2 L, , J [rl= f 3 7 Lr J L3J ['l= f vl l.
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This note was uploaded on 01/12/2010 for the course MATH 44260 taught by Professor Frey during the Spring '08 term at UC Irvine.

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2J_hw1.4_2.2 - I a. LO I J b, f I a r-l +ype c. Losl [z o...

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