# Good books to learn Linear Algebra? [closed]

I took a course of Linear Algebra, but it was too basic (it only covered some elementary concepts of matrices and vectors). I am planning to purchase one of the three: Axler's Linear Algebra Done Right, Friedberg's Linear Algebra or Shilov's Linear Algebra. After one of those, I will read Hoffman's Linear Algebra, which I have learned is some advances Linear Algebra.

The topics I learned were the row echelon form, matrices operations, linear equations, inverse matrices, determinants, basic concepts of vectors, eigenvalues and eigenvectors. I want, however, to focus on the theory of it, rather than the applications (which is why I have not considered Strang's).

My Calculus course, however, has been very deep, so I consider myself able to learn proof-based mathematics books.

So, concluding, which of these three books would you recommend to me to read.

• If by "Hoffman's Linear Algebra" you mean Linear Algebra by Hoffman/Kunze then, in view of the fact that you've already studied some elementary linear algebra, you don't need to read anything before it. It was designed for students without prior knowledge of linear algebra, although most students studying the book will have had an elementary linear algebra course. See my answer to this question and the comments to my answer for more details. Sep 18, 2018 at 19:23
• Some similar/relevant (useful) posts: one, two, three, four, five. As you can see, Axler's text seems to come up a lot on this site and is a point of mild controversy. Sep 18, 2018 at 19:32
• Consider Treil's Linear Algebra Done Wrong Feb 29, 2020 at 14:05