Hi, I'm new to linear algebra. I'm pretty good at doing exercises with matrices and stuff but even though I've been looking in different books, looking all over the internet I can't get into vector spaces and subspaces. It seems like the books have some very elementary and simple examples and then in the exercises they ask you something difficult which I can't even start.(adsbygoogle = window.adsbygoogle || []).push({});

For example: Show that V = {(x,y,z) E R^3/ xy = 0} are subspaces of R^3. I can't even think of how to start this.

Do you have any ideas? Or can you help me to get the general idea of spaces and subspaces?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Can't get my head into vector spaces and subspaces

**Physics Forums | Science Articles, Homework Help, Discussion**