If only there was a book that explained linear algebra in this way.
https://www.amazon.com/No-bullshit-guide-linear-algebra/dp/0...
Aside from Axler, I wish someone picked up Halmos text and rendered it in a more modern way. It's a really good one, a bit more advanced, but the text is so cramped it's unpleasant to follow.
As Euclid said, "there is no royal road to geometry."