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 2.5, Problem 9P

Explanation of Solution

Inverse of the matrix AB:

The matrix AB and its inverse will have the property given below:

(AB)-1AB=I

Now, by post multiplying the expression with B-1, the following expression is obtained,

(AB)-1ABB-1=IB-1(AB)-1A=B-1

Now, by post multiplying the expression with

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Operations Research : Applications and Algorithms
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ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole