I got a small test tomorrow and i have been working throu exercises but i can't seem to solve this question:(adsbygoogle = window.adsbygoogle || []).push({});

Let V be a vector space over a field F, and let [tex]S\subset S'[/tex] be subsets of V.

a) Show that span(S) is a subspace of V.

b) Show that span(S) is a subset of Span(S').

c) Take [tex] V = R^3 [/tex] and give an example to show that it is possible that Span(S) = Span (S') even though [tex] S \subset S'[/tex] and [tex] S \neq S' [/tex].

d) Let U,W be subspaces of V. Prove that U+W is also a subspace of V.

**Physics Forums - The Fusion of Science and Community**

# Span and Subspace Question

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

Have something to add?

- Similar discussions for: Span and Subspace Question

Loading...

**Physics Forums - The Fusion of Science and Community**