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Comment on Linear Algebra Done Right [pdf]

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I think the book's name confuses true neophytes who've never even heard of vector space and assume that this book will teach them applied linear algebra. I always thought that this book is for people like me who have already played around with matrices and remember most of the theorems (the intuitive ones), but are left with a creeping sensation of "I know the magic works, but ~why~ does it work?". Needless to say this is a go to reference for me whenever I see a need to refresh something of the basics.

Or in short - the Yin and Yang of mathematics - sometimes you need the excellent dry theory and sometimes you need the more concrete but messy application, and in truth you will always vacillate between the two - this is the former.

sometimes you need the excellent dry theory and sometimes you need the more concrete but messy application, and in truth you will always vacillate between the two - this is the former

Fully agree. Axler says it quite clearly that the book is intended for a second course in linear algebra. While not an applied text, I find it close enough that it allows you to subsequently go back to your applied material and see it with new eyes.

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