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, $b \neq 0$.
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 - 1.5 Exercises - Page 49: 28
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