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Quiz 3 with Solutions - Applied Linear Algebra | MATH 415, Quizzes of Linear Algebra

University of Illinois - Urbana-ChampaignLinear Algebra
Prof. Bertrand J. Guillou

Material Type: Quiz; Professor: Guillou; Class: Applied Linear Algebra; Subject: Mathematics; University: University of Illinois - Urbana-Champaign; Term: Fall 2009;

Typology: Quizzes

Pre 2010

Uploaded on 11/17/2009

mechse89
mechse89 🇺🇸

14 documents

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Math 415 - Section D1 Quiz III me SOLUTIONS No calculators or other electronic devices may be used. Show all work, have fun, and good luck! (10 points possible) Problem 1. (4 points) Give the LU factorization for the matrix 2 -3 1 A=[-d ll -2 Reon A z (: -3 3] Form B B 2-31 \Rith 2-3} 38 -4u-2\, [080 230 \eHy - ~~ 2 34 ok? ? ? 633 RtRze /-2 30 ~ O +4 -f A- | © O\f2 -3} Cog - -2 Lo OSe fo] OO Ks (948 Problem 2. (3 points) Given the LU factorization 100 210 Oy A={1i1o0]fo4 2], ° 30 1/ \o 05 solve the equation Ax = ( ‘| for x. ll ) = aN eB) CHOIR): Ge SOE) a) 6) Pele (FANG) a X55 73, eye BEEK CAD=EO |