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 7P

Explanation of Solution

Proof:

Suppose that the matrix A is of the order n×n.

If the rows of the matrix A are linearly independent, then it means that the rank of matrix A is n and we can perform zeros on A that yields the identity matrix.

This means that the Gauss-Jordan method for finding the inverse will not yield a row of zeros

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