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I am not a complete beginner in the subject but I am not familiar with most of the linear algebra's topics. I have studied determinants and matrices, but I want to get a much deeper insight. I looked at the Axler's book and I like the way he teaches it, but I saw that there is some calculus involved in his book. I do not know calculus, but I think that it won't be a prerequisite for studying linear algebra. I would like a book that emphasizes both, the theory and applications of linear algebra. What are your recommendations?

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    $\begingroup$ Axler's use of calculus is limited to a handful of examples and exercises. As I recall, it's not needed for any of the main exposition. It's a very good book which I strongly recommend. Another book to consider is Lang's Linear Algebra. $\endgroup$ – Bungo Sep 23 '14 at 16:00

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