Seeking Advice: Optimal Study Methods and Sources for Advanced Linear Algebra Topics

Question

Hello Math Stack Exchange community,

I'm currently looking to delve deeper into advanced topics in linear algebra, including system of linear equations, eigenvalues and eigenvectors, vector spaces, linear mappings and their applications, and iterative methods. I am seeking advice on the most optimal study methods and sources for mastering these subjects.

Could you please recommend:

Comprehensive textbooks that cover these topics thoroughly and provide clear explanations and examples? Online courses or tutorials that offer in-depth coverage of these advanced linear algebra concepts? Effective practice problems and resources to reinforce understanding and problem-solving skills? Any supplementary resources such as software tools or additional lectures that may aid in my study? I appreciate any recommendations or insights you can provide. Thank you for your help!

Best regards, Hassan

I wouldn’t say those are advanced topics, rather the fundamentals. And the optimal learning path for me is likely different for you. Linear Algebra Done Right by Axler might suit you. — A rural reader, Feb 25 '24 at 21:26
Strang's linear algebra course on MIT OpenCourseware is very popular and includes video lectures, assignments, and exams to supplement the textbook. — littleO, Feb 25 '24 at 21:36
Linear Algebra and Its Applications by Gilbert Strang is a fairly standard upper undergraduate level (for U.S. colleges and universities) applied linear algebra text. Strang's book belongs to the 2nd level books in the categorization I discuss in this MSE answer. I see that @littleO has also mentioned Strang while I was writing this comment. — Dave L. Renfro, Feb 25 '24 at 21:41
I personally like to have a look at lecture notes of universities (e.g. https://people.math.ethz.ch/~kowalski/script-la.pdf). — SineOfTheTimes, Feb 25 '24 at 21:46

Seeking Advice: Optimal Study Methods and Sources for Advanced Linear Algebra Topics

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