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?
Elementary Linear Algebra by Larson. There are basic proofs and also exercises called "guided proofs" that help with initial intuition and explain why you are doing the steps. There are lots and lots of problems to solve but the proofs are there as well and they are not of high mathematics. Axler is good too but requires a bit more foundationally.