# hw5 - Homework 5 Math 471 Fall 2007 Assigned Friday October...

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

Homework 5 Math 471, Fall 2007 Assigned: Friday, October 5, 2006 Due: Friday, October 12, 2006 Include a cover page Clearly label all plots using title , xlabel , ylabel , legend Use the subplot command to compare multiple plots Include printouts of all Matlab code, labeled with your name, date, section, etc. (1) (Pivoting) (a) Prove that the matrix 0 1 1 1 does not have an LU factorization. (b) Does the system 0 1 1 1 x y = a b have a unique solution for all a, b R ? Why? (c) How can you modify the matrix in part (a) so that it has an LU factorization? (2) (Gaussian Elimination with Partial Pivoting, p. 169, #7(a) BY HAND) Solve the following system using Gaussian elimination with partial pivoting. Show all intermediate matrices and the row vector at each step: 2 x 1 + 3 x 2 + x 3 = - 4 4 x 1 + x 2 + 4 x 3 = 9 3 x 1 + 4 x 2 + 6 x 3 = 0 (3) (Implementing PLU Factorization) Write a program to find the LU factorization of a given n × n matrix A using partial pivoting . Your Matlab file should be named myLU.m , and the first few lines should read

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern