I'm currently taking a Linear Algebra course, and am having some issues. I can do the mechanics of it, solve the problems and all of that but I don't really get the math theory (perhaps not the best wording) behind it. Things like "The solutions of Ax=0 has a different plane than Ax=b connected by a vector p" seem to fly over my head. Do you guys have any suggestions for books I could read to get a better understanding? Right now I'm using "Linear Algebra and it's Applications" by David Lay.