Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 1 - Linear Equations in Linear Algebra - 1.5 Exercises - Page 49: 28

Answer

No, the solution set cannot contain the origin.

Work Step by Step

If the solution contained the origin, then $A * 0 = b$. However, this is not possible as $A* 0 = 0$ and, as stated from the problem, $b \neq 0$.
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