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 11RP

Explanation of Solution

Finding the inverse of the given matrix using Gauss–Jordan method:

Consider the following matrix,

A=[1     0     20     1     00     1     1]

The objective is to find the inverse of the given matrix using Gauss- Jordan method.

To find the inverse of the matrix A , first write the matrix in the form A|Im as shown below:

[1     0     20     1     00     1     1][1     0     00     1     00     0     1]

Now use the elementary row operations to transform A|Im into Im|B.

Here, B=A1

[1     0     20     1     00     1     1][1     0     00     1     00     0     1]R3R3R2[1     0     20     1     00     0     1][1     0     0

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