Introduction to mathematical programming
Introduction to mathematical programming
4th Edition
ISBN: 9780534359645
Author: Jeffrey B. Goldberg
Publisher: Cengage Learning
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Chapter 2.5, Problem 10P

Explanation of Solution

Proving(AT)1=(A1)T:

For any matrix A,

A-1A=I

Now, by post taking transpose on both the sides, the following expression is obtained,

(A-1A)T=IT =I

This can be written as follows,

(A-1)TAT=I

Now, by post multiplying the expression with (AT)<

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