Where to start learning Linear Algebra?
Does anybody know of a good book in Linear Algebra for self study for a beginner? I look for a book with many exercises.
A very nice introduction is
"Linear Algebra and Geometry"
by Kostrikin and Manin.
Maybe you can try:
There are many other wonderful sites and books, but those are some ideas to get you going.
If it is your first look at linear algebra ever, it might be worth checking out the Khan academy camcasts http://www.khanacademy.org/math/linear-algebra. They are short, simple and very well explained.
Linear algebra done right is (aside from the slightly cocky name) an excellent and short undergrad textbook on linear algebra that (at least in my opinion) stands out compared to others because presents all the basics without relying on the less intuitive notion of determinants for the proofs (determinants are only introduced in the very end). http://linear.axler.net/
Lastly, for applications and real life (ish) motivation it might be worth checking out the first half of this course given by Stephen Boyd. He links linear algebra concepts to engineering type problems (GPS, load distribution in buildings...etc), efficient computation and basic optimisation problems. http://see.stanford.edu/see/courseinfo.aspx?coll=17005383-19c6-49ed-9497-2ba8bfcfe5f6