Best Books to learn Proof-Based Linear Algebra and Matrices

So I'm in a really serious problem. It's my first year at university and I'm doing a CS major. The math is already getting serious and I'm lost, really lost. It's all about matrices so far and the thing is I really can't do the proofs (of determinants). High school(A-level) was math was pie and it didn't even involve any proofs and that's where I'm lacking now and I'm stressed out. I don't know where to start. So I went online and looked at all the books that have been listed around and here are some I found: Linear Algebra Done Right - Axler Intro. to Linear algebra - Gilbert Strang Linear Algebra - Hoffman and Kunze

These are some, but I'm not sure where to start. I need a book which will teach me some basic proofs and how to think to solve these proofs. So anyone could help me out, where to start?

migrated from mathoverflow.netSep 4 '13 at 12:45

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• MO is intended for topics at the graduate school level and above. – Andy Putman Sep 4 '13 at 12:39
• Mathstackexchange might get you a good answer. – Benjamin Steinberg Sep 4 '13 at 12:44
• While I don't think it's a duplicate, you may find the answers to the following question useful: math.stackexchange.com/questions/4335/… – mdp Sep 4 '13 at 12:52
• I wouldn't use Hoffman and Kunze unless you're already acquainted with mathematical proofs. Besides, it goes beyond just matrices and vector spaces and I would almost consider it a book in abstract algebra. – Gyu Eun Lee Sep 4 '13 at 12:55
• Strange is more computationally oriented although it does have proofs. Intended to some extent for engineers. You can find a very nice set of his videos teaching his course at MIT at their OCW site. Axler is more proof oriented, although starting at a somewhat elementary level. If you want to ever do rigorous math, especially pertaining to LA, Axler is a good place to expend some effort. – user12802 Sep 4 '13 at 17:38

• $174,66!! amazon.com/Elementary-Linear-Algebra-Ron-Larson/dp/1133110878 Are you kidding me? Is the world getting crazy or what? – d.t. Sep 4 '13 at 17:33 • I definitely didn't pay that much! And I would say if that is the going rate, then don't go that route. I payed 3 years ago about$50 for a used copy. – Eleven-Eleven Sep 4 '13 at 19:12