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I don't know about this book, but I highly recommend "Linear Algebra Done Right" by the same author. It is a very clear presentation of Linear Algebra. Although I would recommend it for someone who already took a first course on it.

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My High School teaches it as the introductory Linear Algebra course and - while it is a bit difficult - it does an excellent job priming students to think about Lin Alg as a higher order discipline.

After doing it both ways, I really appreciate introducing vector spaces and linear transformations before even touching matrices.

May I ask what high school? We did not have a linear algebra course in my New York high school. I would have liked to have been able to take linear algebra then.

Pretty exclusive private bay area school - not the norm by any means. It's offered as one of the electives after calculus - multivariable, linear algebra, and a rotating set of others.

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