Answer
False
Work Step by Step
Let $A=(0,1,1)$ be the point in yz-plane and $B=(1,1,0)$ be the point in xy-plane.
Then $A+B=(0,1,1)+(1,1,0)=(1,2,1)$
This point $(1,2,1)$ is not belong to $S$. Hence, $S$ is not a subspace of $V$
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 4 - Vector Spaces - 4.3 Subspaces - True-False Review - Page 272: g
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