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I am sure this question has been asked plenty of times, but I wanted to get the most up to date answer. I am a non-stem graduate looking to sharpen my math skills and want to start with Linear Algebra. What are the best ways of doing so on my own? I have read a decent amount of Paul's online math notes for Linear algebra but have found that rigor level to be low. Free resources are ideal but open to paid suggestions.

J. W. Tanner
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Daniel J.
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    The course material for undergraduate linear algebra hasn't changed in the past 15 years, so any recommendations over here are fine for today. If what you're looking for is a comprehensive explanation that is more rigorous than Paul's notes, then you're unlikely to find it online. – Ben Grossmann Jan 18 '24 at 22:02
  • A general advice : Never pay for references if there is a way to get them free. They are usually not better , often even worse than the free alternative. Which books are best is unfortunately a very subjective matter and what is helpful for person $X$ , might be not helpful for person $Y$. Just look at several sources and choose the one you are most content with. – Peter Jan 18 '24 at 22:07
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    Axler’s excellent textbook Linear Algebra Done Right is free online. – littleO Jan 18 '24 at 22:08
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    MITOpenCourseWare has many excellent resources for linear algebra and other subjects at a rigorous level. It's where I learned it. – CyclotomicField Jan 18 '24 at 22:16

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I recommend starting with Friedberg's Linear Algebra book or Lang's one. They're both great theoretical books. If you want some linear algebra on a higher dose then go for Michel Artins Algebra book.

Karim Faraj
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