[nimish]

Linear algebra done right by Sheldon axler

Linear algebra that focuses on matrices of numbers is missing the point and a proper numerical linear algebra class will teach them better anyway

[btilly]

I would recommend Down with Determinants! instead. Same author, and was the inspiration for that textbook.

https://www.maa.org/sites/default/files/pdf/awards/Axler-For...

As a graduate student at the time, it opened my eyes about a whole bunch of theorems that I thought I already knew. And it is a lot more approachable than a textbook.

It won an award for the best piece of expository writing on mathematics in 1996. It was a deserved win. :-)