Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Chapter 2.3, Problem 3P

Explanation of Solution

Using Gauss-Jordan method to indicate the solutions:

Consider the given system of linear equations,

x1+x2=12x1+x2=33x1+2x2=4

The augmented matrix of this system is as follows:

A|b=[1 12 13 2][134]

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

A1|b1=[1 10 -13 2][114]

Now, replace row 3 of A1|b1 by (row 3 – 3 (row 1)), then the following m

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