Earlier quoted context omitted.
I think GP is both referring to and suggesting: https://linear.axler.net/
This is a great book but and as the author himself notes, it's not an ideal first linear algebra book. Strang can be great as a first book. He focuses more on what rather than why, so if one wants to delve deeper, it needs to be supplemented by a few other books.
I still don't get why Axler decided to discuss the Jordan normal form after already doing the spectral theorem, it's a bit like presenting Riemannian integration after Lebesgue.
For the long term his emphasis on operators is probably better as naturally transitions into functional analysis, but you can get a lot of stuff done without ever touching them.