Is the empty set is a subspace of any vector space

Question

Is the empty set is a subspace of any vector space?

im not too sure about this one, is the zero vector in the empty set?

As you say, the empty set does not contain the zero vector, and so it is not a vector space. — Prahlad Vaidyanathan, Apr 27 '14 at 11:57

Ludolila · Answer 1 · 2015-05-19T10:10:14.973

10

The answer is no. The empty set is empty in the sense that it does not contain any elements. Thus the zero vector is not a member of the empty set.

edited May 19 '15 at 10:10

answered Apr 27 '14 at 11:57

Ludolila

1 Answers1