quiz-02 - Q UIZ 2 120202: ESM4A - N UMERICAL M ETHODS...

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: Q UIZ 2 120202: ESM4A - N UMERICAL M ETHODS Spring 2010 Prof. Dr. Lars Linsen Orif Ibrogimov School of Engineering and Science Jacobs University February 09, 2010 Problem Q.2: LU Decomposition. Given matrix 1 0 A= 2 1 -1 5 (3+10+5+2=20 points) 4 1 10 and vector b = 2 . 4 3 (a) Can we use Gaussian elimination with scaled partial pivoting to solve Ax = b for x? Explain! (b) Compute the LU decomposition of matrix A using Gaussian elimination with scaled partial pivoting. (c) Use the LU decomposition to solve Ax = b for x. (d) For any matrix A of size n n, give the time complexity for the steps in parts (b) and (c) with respect to n. ...
View Full Document

Ask a homework question - tutors are online