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: 16

Answer

a) The system is consistent, and the solution is unique. b) The system is consistent, and the solution is not unique.

Work Step by Step

a) We can see the rightmost column is not a pivot column, and there are no free variables. b) The last column on the right is not a pivot column, but the first row has a free variable in the second column. Thus the system has infinitely many solutions.

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