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, Problem 7RP

Explanation of Solution

Using Gauss-Jordan method to indicate the solutions:

Consider the given system of linear equations,

2x1+x2=33x1+x2=4x1x2=0

The augmented matrix of this system is as follows:

A|b=[2 13 11 -1][340]

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

Replace row 2 of A|b by (2(row 2) – 3(row 1)), then the following matrix is obtained,

A1|b1=[2 10 -11 -1][ 3-1 0]

Now, replace row 3 of A1|b1 by (2(row 3) – row 1), then the following matrix is obt

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