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# HW_1 - page 52 Be sure you get the same answer as the book...

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PGE 310: Numerical Methods with Matlab Homework #1 Due Sept 11; 2009 ] 3 3 0 2 [ - = u ] 4 0 1 1 [ - = v [ ] 2 3 3 0 = w [ ] 3 1 2 - = x - - = 2 1 0 2 1 3 3 2 1 A - - - - = 1 2 2 3 1 1 3 0 2 B α =3; β =-2 1. Calculate. Be sure to SHOW YOUR WORK. If the operation is not allowed, show or explain why. Problem 1.0 is an example of how you should show your work. (50%) 1.0 y= α u+ β v 1.1 z= u - x 1.2 a = u T β v 1.3 b = ( 29 T v v u w w v u + + 1.4 C = α A - B + B) 1.5 D = A T B 1.6 E = BA T 1.7 c = xA 1.8 d = x T Ax 1.9 e = Ax T 1.10 f=A+x T x 1.9 L 1 , L 2 and L norm of u and v. Comment on whether the magnitude of u or v is larger. 2. Determine if the following vectors are orthogonal. If they are, make them orthonormal (using the L 2 norm) (25%). 2.1 u & v 2.2 v & w 2.3 u & w 2.4 w & x 3. Programming: read chapter 2 up to section 2.4 (p 52). In Matlab, perform the exact operations that have been done in the text anywhere you see a prompt (“<<”) up to

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Unformatted text preview: page 52. Be sure you get the same answer as the book. If you make a mistake, that fine, just do it again until you get the answer right. I know this sort of seems like busy work, but it isn’t. It is really helpful and important for you to get used to typing in basic commands in MATLAB and getting them to work. You must turn this in . Unfortunately; Matlab is not good about saving your work. So either print regularly or copy and paste into WORD document. Also, I know this takes a lot of paper; you may want to decrease the font quite a bit and maybe delte a lot of the spaces in between lines. Be sure to frequently (once a page) write your name. (25%)...
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HW_1 - page 52 Be sure you get the same answer as the book...

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