And it is strongly discouraged as a first book, by the author himself!

https://linear.axler.net/

> This best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students.

> No prerequisites are assumed other than the usual demand for suitable mathematical maturity.

Equally there is also a text called "Linear Algebra Done Wrong"

Not equally, better. It's intended as a book for learning the concepts of Linear Algebra intuitively and with some introductory rigor, before doing it "right" in a professional way.