Answer
No.
Work Step by Step
If the 5th column is a pivot column, then the augmented matrix has a row of the form [0,0,0,0,b], where b is nonzero. This means the system is inconsistent.
Linear Algebra and Its Applications (5th Edition)
by Lay, David C.; Lay, Steven R.; McDonald, Judi J.
Published by
Pearson
ISBN 10:
032198238X
ISBN 13:
978-0-32198-238-4
Chapter 1 - Linear Equations in Linear Algebra - 1.2 Exercises - Page 22: 24
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