Homework 8 Solution

# Homework 8 Solution - Lecture 8 MEEN 357 Homework Solution...

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

Lecture 8 MEEN 357 Homework Solution 1 Lecture-08-Homework-Solution-2009.doc RMB 1. Modify the script on page 11 above so that it will implement the Gauss-Jordan method for the same problem, i.e., for the same A and b . Solution : The script on page 11 is %Primitive Gaussian Elimination for n=3. clc clear all %Enter the Matrix A a 3X3 A=[1,3,1;2,1,1;-2,2,-1] %Enter the Matrix b a 3X1 b=[1;5;-8] %Form the Augmented Matrix <A|b> M=[A,b] %Step 1: Build zeros below M(1,1) %The next line checks if M(1,1) is zero. If so, the %calculation stops. if M(1,1)==0,error( 'You tried to divide by zero' ), end for n=[2 3] M(n,:)=M(n,:)-(M(n,1)/M(1,1))*M(1,:); end %Step 2: Build zeros below the new M(2,2) if M(2,2)==0,error( 'You tried to divide by zero' ), end for n=3 M(n,:)=M(n,:)-(M(n,2)/M(2,2))*M(2,:); end if M(3,3)==0,error( 'You tried to divide by zero' ), end x3=M(3,4)/M(3,3) x2=(M(2,4)-M(2,3)*x3)/M(2,2) x1=(M(1,4)-M(1,3)*x3-M(1,2)*x2)/M(1,1) The last three lines represent the back substitution phase of Gaussian Elimination. When one adopts Gauss-Jordan elimination, this step is replaced by row operations that built zeros above the (3,3) element and, next, above the (2,2) element.

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.

## This note was uploaded on 07/28/2010 for the course MEEN 357 taught by Professor Anamalai during the Fall '07 term at Texas A&M.

### Page1 / 4

Homework 8 Solution - Lecture 8 MEEN 357 Homework Solution...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online