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: 23

Answer

Yes.

Work Step by Step

Since the coefficient matrix has three rows and three pivot columns, it must have a pivot in each row. This means the last column (on the right) of the augmented matrix will not be a pivot column. Hence the system is consistent.

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