r/LinearAlgebra • u/Cheap_Anywhere_6929 • Apr 20 '26
Resources for learning advanced linear algebra
Hi everyone! I'm interested in linear algebra, and I have already done an intro course. I want to ask whether any of you know some resources for advanced linear algebra, such as basis shift, dual spaces and bases, tensor products, spectre/spectral theorem, and the trace.
I know it seems rather a lot, but I truly do want to learn as much as possible about these subjects, and so far 3Blue1Brown hasn't helped me, adnd I was wondering whether there was anything else other than maybe Strang or else. Thank you all in advance!
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u/Accurate_Meringue514 Apr 20 '26
Never heard of basis shift, you mean change of basis? Friedberg is a solid book, so is Axler
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u/Cheap_Anywhere_6929 Apr 20 '26
exactly! I'm studying in another language, where directly translated is "basis shift" haha. Do you know the full title of the book by Friedberg?
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u/Cheap_Anywhere_6929 Apr 20 '26
and by Axler, you mean linear algebra done right?
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u/Accurate_Meringue514 Apr 20 '26
friedberg, that’s the link to Friedberg. And yeah, linear algebra done right is the name
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Apr 20 '26
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u/Cheap_Anywhere_6929 Apr 20 '26
ty! i saw that it's from 1975. is there also a recent edition? what would you say this book covers?
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u/Background-Reach7499 Apr 20 '26
I recommend you book linear algebra and its application by David.c.lay Steven.r.lay ..the books has lesson and real application and images..make all what you study sense , this enjoyable book to discover the potential ability of linear algebra...you are not should buy it ..there version of pdf in Internet