Answer
Yes, because it is a linear combination of the vectors
Work Step by Step
If $v=\frac{1}{m}[m_1v_1+...+m_kv_k]$, then $v=\frac{m_1}{m}v_1 + ... + \frac{m_k}{m}v_k$, and thus it is a linear combination of the vectors $v_1, ... v_k$.
Linear Algebra and Its Applications (5th Edition)
by Lay, David C.; Lay, Steven R.; McDonald, Judi J.
Published by
Pearson
ISBN 10:
032198238X
ISBN 13:
978-0-32198-238-4
Chapter 1 - Linear Equations in Linear Algebra - 1.3 Exercises - Page 34: 30
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