Book Recommendations for Linear Algebra Proofs I'm taking a graduate Linear Algebra course and have limited experience writing proofs (mostly from a discrete math class). Can anyone recommend good books to teach you how to write proofs for linear algebra? My impression is that they're very different from other kinds of math proofs.
Thanks in advance.

Another book you might consider is Curtis' Abstract Linear Algebra. It claims that it could be used for a "first course," but is quite sophisticated (but I have to agree with the claim). It takes some care to introduce the more abstract topics not usually covered in undergrad classes. For instance, exact sequences of maps, defining the determinant via the exterior product, quotient spaces, etc. The majority of the proofs are very easy to follow and the book is a good reference (despite how slim it is).
There's also a book called "The Linear Algebra a Graduate Student Ought to Know." It looks pretty good.
To learn to write proofs, you might look through some of these short "articles" and then do a lot of problems. (I don't recommend a whole book on learning to write proofs). Be sure to have your solutions/proofs critiqued (here for instance!).
