College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 6 - Matrices and Determinants - Exercise Set 6.2 - Page 611: 38

Answer

See below.

Work Step by Step

If we use Gaussian elimination to solve a system of equations containing dependent equations, there will be at least one row consisting only of $0$s in the row-echelon form. Then that variable will be free of choice, so the system will have infinitely many solutions.
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