It covers most of the standard material in an introductory Linear Algebra course. There is one large omission: the textbook completely ignores the notion of change of basis. There is no explanation why this was done, and a guess is that it was overlooked. The book is also very streamlined, and does not have much outside of the standard curriculum (which might be a plus).
I am a math professor, and I need to choose a book next time I teach linear algebra. It may well be this one.
If anyone has in-depth experience with the book, I'd be grateful to hear about it.