M294F09WS_OrthogSol - Math 2940 VVorksl'Jeetz C311. 5...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 2940 VVorksl'Jeetz C311. 5 Orthogonality and Least Squares October 15, 2009 fa /a#m§ 1. Find an orthonormal basis for the image of the matrix ‘ l L! KIWI-£1 I Z I ‘de‘fla medu [gigjmfi 00 3, :2, (1‘ J-KZ . 174/ , ‘ [z 3“? g ‘3]; WW! W‘s “‘2 fa) Mm W anwm f2, 2f #W #5], [£7] ’ 1M @M//=i,//izl/=L Mie—a yo' //V,f// = 1. flfiefiql = 1/1? a 3. Consider an n X m matrix A, a vector 17 in Rm, and a vector 13 in R”. Show that (Al?) . w = «7. (ATM). w.- Inf/WV w “Wm V7.— 54;ny : [VT/WW; Wm}; WW) / WWW 2 (My; = 7.0402?) ' 4. Find the matrix of the linear transformation L(A) = A -— AT from R2“ to 1R2X2 with ' respect to the basis I I V ~ A; L3 n12 W xv-él m M: Ma]. M 11 _ ' I /.. J. / ' ' V g / 'L/M= [5:]41‘51":[mMfl/Sf ' I rfl ( .L/t) WEI: .7 [raj—[:vaer ‘ I 00 I _ f 9 1/52) J3] toffifjw‘ (27+! 307* flujg’é/ a [20;], ’9 0/]7‘: [Ivar];[too’]:[:00] .. A . s» Make 3 erJf'Wd‘ZTDa’ftMW 9” ’0 ’J—[”[" N ~( 0 2 a ‘v-2 0 C5 ...
View Full Document

Page1 / 2

M294F09WS_OrthogSol - Math 2940 VVorksl'Jeetz C311. 5...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online