The cool thing about numerical linear algebra is, as far as numerical analysis is concerned, it's probably one of the most accessible fields to the would-be citizen scientist.
It's been a long time since I've taken linear algebra but if you can find an OCW course, or a really good book I'd start there. You'll want some rigor under your belt. Once you do that, any good numerical analysis text will usually cover the basics (you'll need them) before going into the fascinating world of algorithms as they relate to linear algebra.
It's been a long time since I've taken linear algebra but if you can find an OCW course, or a really good book I'd start there. You'll want some rigor under your belt. Once you do that, any good numerical analysis text will usually cover the basics (you'll need them) before going into the fascinating world of algorithms as they relate to linear algebra.