I'm looking for a textbook on linear algebra that is on a level higher than that of a first-read text, but isn't of the machine-gun-definition-theorem-proof-corollary type. I used Lay's text as an introduction to the subject, and then picked up Hoffman and Kunze. The topics themselves are understandable, but the text is quite dry, as I feel like most of what's going on lacks motivation - things seem to come out of nowhere. So I'd like something that's more focused and advanced than an introductory text, but doesn't feel like reading a dictionary of the terms used in linear algebra. Thanks.
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3I liked Friedberg, Insel, Spence – Ben Grossmann May 23 '22 at 22:48
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Does this answer your question? High-level linear algebra book – user1147844 Apr 09 '23 at 16:27
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I am also partial to Friedberg, Insel, and Spence. Loehr is a more advanced text and very comprehensive, but also quite good.
It might be worthwhile to work through the material with an application in mind. I found combinatorics to be a very helpful vantage point when I took Linear Algebra. The Babai--Frankl text Linear Algebra Methods in Combinatorics is a very nice text, that might be helpful in cementing concepts like linear independence, eigenvalues, etc.
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