J6dNQE-m307_midterm_2017WT1_vfinal_sol.pdf - Math...

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Math 307 (Sections 101 and 102) Midterm ExaminationInstructors:Ozgur Yilmaz &Halyun JeongOctober 20, 2017NameSectionStudent Number124212312412Total60- Be sure that this examination has 10 pages.Write your name on top ofeach page.- No notes, no calculators allowed.-Show your work and make your reasoning clear.Page 1 out of 10
October 20, 2017Math 307Name:Page 2 out of 10Problem 1. [24] Short Answer.The questions (a)-(h) below are worth 3 marks each and requirea short explanation (unless otherwise stated).(a) Specify the size and value of the variablezthat you would obtain by typing the following inMATLAB:>> x=3:-1:1; % this produces a row vector>> y=x.^2;>> z=x’*y;. Determinekxk2,kxk1, andkxk.(b) Letx=12-3(c) LetA=-20000.50001. Determine the operator norm and condition number ofA.
October 20, 2017Math 307Name:Page 3 out of 10In the next two questions, letC=010100001andD=2000-30001.

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