The original linked text is probably better for a linear algebra learner if they want to apply it (especially if they want to apply it earlier rather than later). Your linked text looks (I've read the first 5 parts) to be a good introduction but at a higher level of abstraction (category theory and abstract algebra). In fact, I think it may present a good motivating case for understanding that level of higher abstraction (while it's ostensibly about linear algebra, the ideas transfer with some adjustments to other algebras).
It could also use some polish. It's awkward to be starting a new "episode" and find that it's two pages of off-topic discussion (presenting the case for the blog, which would serve better in an introduction than in the middle of the material).
It could also use some polish. It's awkward to be starting a new "episode" and find that it's two pages of off-topic discussion (presenting the case for the blog, which would serve better in an introduction than in the middle of the material).