Answer
True
Work Step by Step
A set $S$ of vectors in a vector space $V$ spans $V$ if and only if the linear span of $S$ is $V$. This is true because every vector in span $(S)$ belongs to the vector space $V$ which makes span $S$ a subset 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 - 4.4 Spanning Sets - True-False Review - Page 282: e
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