Heed Axler's warning; the compact version is meant as a refresher, not a book to learn from.
> Linear Algebra Abridged is generated from Linear Algebra Done Right (third edition) by excluding all proofs, examples, and exercises, along with most comments. Learning linear algebra without proofs, examples, and exercises is probably impossible. Thus this abridged version should not substitute for the full book. However, this abridged version may be useful to students seeking to review the statements of the main results of linear algebra.
Maybe you previously worked through the full LADR (or some other math-major linear algebra book like the older, classic Halmos), but your memory is fuzzy. That might be a use for it.
Still, I don't know why you'd read through a 150 page refresher rather than the full book. If you can't afford it, the 3rd edition is on libgen like most other textbooks.
The book is not easy. It's more like a traditional textbook, albeit a great one. In my experience, the book is great at showing how seemingly hard concepts can be systematically developed, layer by layer, under the framework of vector space and linear transformation. When reading the book, I often marveled like this: that's it? Wow! A few references to the previously listed theorems and definitions and this is proved?
Axler's approach puts the cart behind the horse where it belongs. Learning to do row reduction by hand is a really pointless exercise that misses the forest for the trees. But if want want the nitty gritty on computation, Golub and Van Loans "Matrix Computations" is pretty classic.
Only if you want to be a real mathematician. Most people don't and are better served by learning to calculate, since that teaches you how the techniques of linear algebra are applied.
You actually do need to learn to do row reduction by hand because it teaches you what is going on. Same reason you need to learn to integrate by hand even though you'll never do it again after your coursework.
BTW, I learned linear algebra from Axler first, so I have some basis for comparison. There is a reason Axler is not considered an introductory text even though it is not very hard.
> Linear Algebra Abridged is generated from Linear Algebra Done Right (third edition) by excluding all proofs, examples, and exercises, along with most comments. Learning linear algebra without proofs, examples, and exercises is probably impossible. Thus this abridged version should not substitute for the full book. However, this abridged version may be useful to students seeking to review the statements of the main results of linear algebra.
Maybe you previously worked through the full LADR (or some other math-major linear algebra book like the older, classic Halmos), but your memory is fuzzy. That might be a use for it.
Still, I don't know why you'd read through a 150 page refresher rather than the full book. If you can't afford it, the 3rd edition is on libgen like most other textbooks.