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Although it’s not a book, a good series on YouTube is 3Blue1Brown Essence of Linear Algebra. That explains it in a very visual way. That, in addition to Linear Algebra and its applications by Gilbert Strang, would be a strong mix. I would also recommend 3000 solved problems in Linear Algebra by Seymour Lipschutz as a strong foundation in linear algebra requires practice.


It should be noted that the sum of the 3B1B videos is like 2 hours, and that Grant himself says that these videos are for summarizing and providing intuition after you have already taken the course.


I'd also add that it's probably good to watch it before as well, to give intuitions around things you'll later learn rigorously.


By “the course” do you mean Strang’s MIT OCW class or something else?


Essence of linear algebra is an absolutely wonderful series. It gave me an intuition of the subject in a matter of hours in way years of university didn’t do.

https://youtu.be/fNk_zzaMoSs


Yes. The moment, when the background grid gets distorted by the matrix. Really helped me to calibrate my mental models.




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