quiz1-1806-S08

quiz1-1806-S08 - yy ! (y yy ! C (y C puy u puy u Cu y Cu y...

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Unformatted text preview: yy ! (y yy ! C (y C puy u puy u Cu y Cu y im i im yUl im i im yyo yo i im i im yyo m yy8o l m y8o m yy8o y8o l m o ~ m yo lyUl i im o ~ m yo l i im yUl om i Ul ~m yyUl om i Ul o ~m yyUl yyUl ~m o ~m yyUl iyUl lm o o om yyUl i lm yUl o o om yyUl l m fUl ~m yUl l m fUl ~m yUl | k r } { r !!}u |} k r r ( u !!}u { r r ( u }{z|usq v r v y2 r { |v r }zusq v y2 r {v r Cy&(sq | { x xv t r }nzywusq {v r Cy&(sq | { x xv t r }nzywusq im ypnl l oim pnUl im ypnl l im nl l oim pnUl l im nl ~ lm l oim pnUl ~ lm lpnUl oim l oim pnUl i pnUl oim im n i pnUl oim l l i i i li p lp i li p i i i i o k o k l Ak l Ak j i j o pi jyUi l ji Uyi jpi ~ j j j y j jy j jo j yl j Ui f e d c a YW V T R b`X(USQ I G E D B ' ""PHF(CA@ 75 4 986$3 h e e r r p h r hq gf td"q Cqvs "H x w u s r p h vytvtHqig 1 ) ' % # 20(!&$"! l wp!w!!yy}2!&!}!( | { x x { x v x x v | x v | { (wzӪ pwvx !yynn!niy2}z!v y" R v x | i!ynnx ! A-1 A B -1 B r o | | i | { v Uz6}զnx V XY V Uzy x |x n8!yr ̶y!zynywznx v | x o o { v x | { v xv x | A c pX c o r !y!&yP( j | x { | | { | r ! A D LT LDLT | { { | v | x v | x { 8}ynznӳCzv | "y r . AA-1 = I x (x U " (yv yv L v x v v { | m hy(yy}(zy8!6 x yv ! x nyv A A = LU { | { v x v j z}yH{ n 0u v x | { !zyv zndzz(!nyuy v|x x| { x | x j x { n y U 1 1 1 0 x1 Ax = 1 3 3 x2 = 0 1 3 7 1 x3 x { w y A v x v v yyyn(yy D L v | x n̲ ק j f U x = 0 2 2 x2 = 0 0 0 4 1 x3 1 1 1 x1 0 A = LDLT f d pX( d E D & 7 A 7 & ( &#( # ! [email protected]'7865432)10)'&%$" rx x { | }(6p!!{ 6 B C r }!n}zz!! j { { x { v Sn(!sy} v x v | v | { { x x { | x { { { { { x { zy(hyp!nsp!h}!!!z y(sH(nx p!zS S x| { { { { v | x { | r !b 8}y| v nx y(!!y !w}znz ! { zy!! | { H { x r { v | x o o }a!npd&}}zn | x{ |{ y}z}H o !} )+( )= { { x }(P!n ) + 2( r}! } v !vxz}&yn̲ { | { v v | x U } V y | i v!yy} 3( S YW `XT l !} xv { v | x o o x x x x j yw}zn s(p! H rj Ax = 0 x v { x { | v Q j &!!}wy!6!6z!Ru A v nx w { { x { v | { P j 2(z C6!Pz}z}y A r xv } !yy}&yv . | x{ { x y}2y!&( | x{ |{ ny}H x ! v v x { |v x { | { Iv v x v !n}z!"}z}! qyy | x{ |{H { x { y}Pz}y!w!dzy ! B C 3a1 + 2a2 + a3 = a1 , a2 , a3 a 1 , a2 , a3 x A M S uT v | x { 6!& R3 G e pX6 e E D & 7 A 7 & ( &#( # ! [email protected]'7865432)10)'&%$" Ѥ!yynx yy}zip x v v { {x { x n88!n Ax = b fg n}z!sz !w yѾ}yyz j|{ x{ v | { { | !n2( zn v|x { Q j }!R m n b A x r A v { v x { x { { x v j !yynx yys!v Cnyz2ny!y}6! 0u A= Ax = 0 YW e Y c WR Y `XT } 2e Y d Y U yW V x v v { v j nb!yynx yy}zCyh 0y zn S dy!nSnx w&znx v | x l v x v x | Ax = 0 (x1 , x2 , x3 , x4 ) 2x1 + 3x2 + x3 - x4 1 = . Ax = 6x1 + 9x2 + 3x3 - 2x4 2 2 3 1 -1 6 9 3 -2 r=m d pX f E D & 7 A 7 & ( &#( # ! [email protected]'7865432)10)'&%$" ...
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This note was uploaded on 08/10/2008 for the course MATH 250 taught by Professor Chanillo during the Spring '08 term at Rutgers.

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