To be fair, you were looking at the super-condensed linear algebra tutorial, which is meant to be a condensed pre-exam review for students and not as a standalone tutorial. The actual book starts off much more smoothly and introduces concepts step by step (see http://cnd.mcgill.ca/~ivan/miniref/noBSguide2LA_preview.pdf for a preview).
The "onboarding" in the math/phys book (No bullshit guide to math and physics) is even smoother. About 1/3 of the text is a review of high school math topics, which helps to establish a solid foundation understanding mechanics and calculus. (see http://minireference.com/static/excerpts/noBSguide_v5_previe... for a PDF preview.)
You are absolutely right though, many of the readers who have written to me over the years are adults who used the book to review what they learned at university. The compactness works well for that.
That said, you're not going to learn linear algebra in four pages. No royal road, and all that.
Anyways: point being, flipping through the book, it is decided not like that image you posted. It's mostly casual prose with lots of diagrams.
Finishing the applications chapter has been a massive time sinkhole! I wanted to make a survey of all the cool things you can do once you have the tools of linear algebra under your belt, but it's proving to be too much (Chapter 8 is getting almost as long as the rest of the book).
In the coming weeks I'll be going over the latest draft and I might do a scope-cut, in order to get it done more quickly. In summary I'd say end-of-April for "dev close" and then probably a month for the final editing with my editor, so June 1st for official release.
http://cl.ly/image/150V0z3T2b0g
In contrast to that, I found https://openstaxcollege.org/books a really awesome resource for learning physics (on an easy level)
Edit: Cutting out all the "bullshit" seems to make it hard for a "busy adult" to easily learn the concept, but it actually seems like a good resource to improve your knowledge which you simply forgot.