What are good second course books in linear algebra for self-study?

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What are best second course(undergraduate) books in linear algebra for self-study?I have already read Introduction to Linear Algebra by Lang.
 
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Linear Algebra Done Right. You can use it in conjunction with Artin: Algebra (I mentioned this to you before...).

Axler avoids determinants till the end, but Artin uses Determinants in chapter 1. However, Artin is a Modern Algebra book...

You could always read Lang's Linear Algebra. However, I really enjoy Axler.

Another book that is popular is Friedberg/Insel/Spence. It takes a more standard approach.