Studying linear algebra with "Linear algebra done right" without any linear algebra background?

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I started reading " Linear algebra done right" and I'm really enjoying the book. The thing is that most people say it's intended for a second linear algebra course.

Is it a bad idea to learn from the book? Should I read a first course book (Would love a recommendation for a book if so).

PS: I'm attending uni in October as an undergraduate math major, So the emphasis on abstraction and proofs is really important for me. (And also this is the way i find the most fun learning mathematics).

Thanks.

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I used this book for a second course in Linear Algebra and thought it was great. If you are understanding and enjoying it, then I do not see a reason why you would want to pick up a typical first course book. Most first course books will emphasize computation and it can become boring quickly, but since you said that you enjoy learning through proofs then I think you should stick with your current book. Good luck in your future math endeavors.