1) Does the set contain (0,0)?
2) Is the set closed under vector addition?
3) Is the set closed with respect to scalar multiplication?
Hi all,
Here's a question I'm struggling with:
Show that the set of all elements of R^2 of the form (a, -a), where a is any real number, is a subspace of R^2. Give a geometric interpretation of the subspace. Any suggestions?
Thanks,
Jim