Answer
False
Work Step by Step
Let $(2,2,2)$ and $(4,4,4)$ be the linear span of two vectors in $R^3$, then their linear span is a line passing through only the origin and not a plane.
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: f
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