Linear algebra study material recommendation

Question

I have done an introductory course in Linear Algebra, but It wasn’t a proof-based course. I think I can deal with the applied part of linear algebra, but I don’t understand things like spaces and Linear mapping very well. I spent sometime reading the book: Linear algebra done right, but the language was ambigious and I spent alot of time reading a single paper in the book, so I fhink I lack some of the basis. Based on what I said, I would be glad if you recommend to me how I should start.

Answer 1

I recommend starting with Friedberg's Linear Algebra book or Lang's one. They're both great theoretical books.

Answer 2

Axler's Linear Algebra Done Right is nice.