Answer
False.
Work Step by Step
False because if $v$ is the zero vector, then $rv=sv$ also if $r\ne s$.
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 - 4.2 Definition of Vector Spaces - True-False Review - Page 261: b
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