Answer
False
Work Step by Step
By definition, all vectors $v$ in a vector space $V$ can be expressed as a linear combination of vectors in a set $S$, then $S$ spans $V$. Hence, the statement is true.
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 - 4.4 Spanning Sets - True-False Review - Page 282: b
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