How to self study Linear Algebra I have no idea if this question is appropriate for this forum, but I hope you guys can overlook the fact that I asked it on a wrong forum (if I did) and still help me answer it (of course, if this is indeed the wrong forum for the type of question I'm about to ask, do please say so).
I am a 16 year old guy who is passionate about physics and as a result wants to increase his knowledge in mathematics, the language of physics. I've read and heard a lot about Linear Algebra and how crucial it is to physics and I am deeply motivated to self study this intriguing part of mathematics. However, I have limited knowledge of maths. I (for example) know basic algebra, trig, diff/int calc and some analytical geometry, but I wouldn't say I master these subjects past the high school curriculum. Now my question is: Would you kind people say I am able to self study Linear algebra or is it too tough and/or does it require too much of a math background? And are there any good books out there for BEGINNERS in LA? I found this (free) e-book called: Elementary Linear Algebra by Kenneth Kuttler and another one called 'Linear Algebra: Theory and its applications' also by Kuttler? Are these any good? Or would you recommend other books? If you guys have any tips regarding books for LA but also tips in general, please, I'd appreciate them!
 A: First, bravo to you for taking initiative and immersing yourself in the beauty of learning!
Here are some thoughts for your consideration:


*

*Elementary Linear Algebra [Hardcover] Ron Larson (Author)

*Schaum's Outline of Linear Algebra Seymour Lipschutz (Author), Marc Lipson (Author)

*Also, try your local university library and see if you find books that suit your needs.
You can also try open course-ware like:


*

*http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-1-the-geometry-of-linear-equations/

*http://www.khanacademy.org/math/linear-algebra

*http://cnx.org/content/search?words=linear+algebra&allterms=weakAND&search=Search&subject=
I would also recommend you learn a Computer Algebra System (CAS) like Mathematica or Maple (you can purchase Student Versions) or other free ones (like SAGE or Maxima) because that will really help exploring and learning this topic so much richer!
See: http://en.wikipedia.org/wiki/Comparison_of_computer_algebra_systems
Lastly, I think you should consider learning proofing methods and here are some books that do a reasonable job at teaching those.
General Proof Strategies


*

*How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library) [Paperback] G. Polya (Author)

*How to Prove It: A Structured Approach [Paperback] Daniel J. Velleman (Author)

*The Nuts and Bolts of Proofs, Third Edition: An Introduction to Mathematical Proofs [Paperback] Antonella Cupillari (Author)

*How to Read and Do Proofs: An Introduction to Mathematical Thought Processes [Paperback] Daniel Solow (Author)
Hope that helps and gives you some ideas!
