Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 4 - Vector Spaces - 4.3 Subspaces - True-False Review - Page 272: b

Answer

False

Work Step by Step

We know that vector zero vector $0$ belongs to the solution set of system of linear equations if and only if it is a homogenous system. Furthermore, if a subset of vector space does not contain zero vector, then it can not be a subspace. Hence, the statement is false.
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