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Re:Matrix Multiplication by jperras on Friday November 25, 2016 @10:55AM (#13037546)
Axler's book, "Linear Algebra Done Right", is widely considered to be one of the best texts on linear algebra that focuses less on the mechanics and more on the structure of linear operators on vector spaces.

http://linear.axler.net/

Re:Matrix Multiplication by CalChris on Friday November 25, 2016 @12:08PM (#13038124)
Yes, and the abridged version (no proofs, examples, and exercises) is downloadable for free. He avoids determinants altogether (well, until the 10th chapter).

http://linear.axler.net/LinearAbridged.html