OPERATIONS RESEARCH >INTERNATIONAL EDITI
OPERATIONS RESEARCH >INTERNATIONAL EDITI
4th Edition
ISBN: 9780534423629
Author: WINSTON
Publisher: CENGAGE L
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Chapter 2, Problem 4RP

Explanation of Solution

Using Gauss-Jordan method to indicate the solutions:

Consider the given system of linear equations,

2x1+3x2=3x1+x2=1x1+2x2=2

The augmented matrix of this system is as follows:

A|b=[2 31 11 2][312]

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) – row 1, then the following matrix is obtained,

A1|b1=[2 30 -11 2][ 3-1 2]

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

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