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If you want a beautiful abstract perspective on linear algebra to complement Strang's more down-to-earth, matrix- and linear equation-oriented lectures, pick up Axler's Linear Algebra Done Right.


He also released a lecture series recently (Axler himself!) which barely anyone seems to be talking about: https://www.youtube.com/playlist?list=PLGAnmvB9m7zOBVCZBUUmS...




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