+1 for the Strang videos. He's an amazing lecturer. e.g. in Lecture 1 explains very clearly matrix multiplication in the "column picture" and the "row picture". More intuition than you can shake a stick at: http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-...

This tutorial is also pretty good for geometrical intuition: http://www.cns.nyu.edu/~eero/NOTES/geomLinAlg.pdf

I concur on these videos, everybody who teaches the subject should watch him. You get a lot of "aha! it's that simple?" moments watching him.