I'm thinking of doing the following to actually learn linear algebra thoroughly as opposed to the 50 page treatments a vector calculus book will offer. Could you offer any advice on whether or not the following plan is reasonable to do on my own? 1: Do all of the 34 video lectures on the mit page with "Linear Algebra & it's Applications" 4ed. The book I can get cheaply (in the link below) is not exactly the same one that the website advises but the contents look extremely similar and it's by the same author, the chapter contents mirror the lectures pretty closely. http://ocw.mit.edu/OcwWeb/Mathematics/18-06Spring-2005/VideoLectures/index.htm https://www.amazon.com/Linear-Algebra-Applications-Gilbert-Strang/dp/0030105676/ref=ntt_at_ep_dpt_6 2: Introduction to Linear Algebra by Lang to get into the proofs. https://www.amazon.com/Introduction...=sr_1_2?ie=UTF8&s=books&qid=1272013454&sr=1-2 3: Linear Algebra Done Right by Axler To master the proofs! https://www.amazon.com/Linear-Algebra-Right-Sheldon-Axler/dp/0387982582/ref=pd_cp_b_2 4: Linear Algebra by Lang The graduate level book (I think). https://www.amazon.com/Linear-Algeb...=sr_1_1?ie=UTF8&s=books&qid=1272013454&sr=1-1 Thanks I'd appreciate a comment or two if you've used any of these books especially.