Resources for learning how to do proofs Linear algebra

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Any resources to learn how to do proofs or view abstract math better in linear algebra?

A lot of time when I read the solution to proof questions, I don't even see how that proves the statement. The way they are written seems unintuitive. This is my first abstract math course. I've never had so much trouble in a course before. The are computations are easy though at least.
 

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mathwonk
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linear algebra is often used as the first proofs course. It helped me however to have a prior course just on the idea of a proof in general. I learned from the first few chapters of principles of mathematics by allendoerfer and oakley. another good introduction is in the first or possibly second edition of geometry by harold jacobs, but not the third edition. other books on proofs people like are velleman, etc but i do not like many of them much myself.
 

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