If V is any vector space and S and T are linear operators on V such that ST=TS show that the null space and the range of T are invariant under S.(adsbygoogle = window.adsbygoogle || []).push({});

I think I need to begin by taking an element of the range of T and having S act on it and show that it stays in V? Can you help get me started?

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

# Showing null space and range are invariant

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

- Similar discussions for: Showing null space and range are invariant

Loading...

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