Linear Algebra Self Study

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I'm currently a high school student with a love for math. I have taken Plane and Coordinate Geometry, both Algebra I and II, Trigonometry, and am halfway done with Calc A.

I want to major in quantum physics, and feel that a background with linear algebra would help. As there are no courses available at my school, I must self study.

What seems most promising is the MIT OCW course along with the accompanying textbook. Would there be a better book/online resource for teaching myself? Thanks.

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No, I don't think you can do much better than Gilbert Strang's introduction. His book is also heavy on interesting applications that you will most likely come across again in your physics studies.

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I'm in a similar situation, and I learn linear algebra from Axler's text, "Linear Algebra Done Right." The problem sets are very nice and I really like the book; it's very easy to understand and explanations are lucid.

The MIT OCW course uses Strang's text, I believe, which I'm not familiar with.