Introduction to mathematical programming
Introduction to mathematical programming
4th Edition
ISBN: 9780534359645
Author: Jeffrey B. Goldberg
Publisher: Cengage Learning
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Chapter 2.3, Problem 6P

Explanation of Solution

Using Gauss-Jordan method to indicate the solutions:

Consider the given system of linear equations,

2x2+2x3=4x1+2x2+x3=4x2x3=0

The augmented matrix of this system is as follows:

A|b=[0 2 21 2 10 1 -1][440]

The Gauss-Jordan method is applied to find the solutions of the above system of linear equations.

Replace row 2 of A|b by (row 2 – row 1), then the following matrix is obtained,

A1|b1=[0 2 21 0 -10 1 -1<

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