Operations Research: Applications and Algorithms
Operations Research: Applications and Algorithms
4th Edition
ISBN: 9780357907818
Author: WINSTON
Publisher: Cengage Learning US
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Chapter 2.3, Problem 4P

Explanation of Solution

Indicating the solutions using Gauss-Jordan method:

Consider the following system of equations.

2x1x2+x3+x4=6          x1+x2+x3=4

The augmented matrix of this system is given below:

A|b=(2111611104)

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

Replacing row 2 by row 1 of A|b, we get

A1|b1=(1110421116)

Now, replace row 2 of A1|b1 by (row 2 of A1|b1) – 2(row 1 of

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