I'm only halfway into the first chapter but I already hate it. The linear combination picture is extremely misleading: the gray dots show the linear combinations where the coefficients are integers, but we are in the vector space R^2! This could have been a great opportunity to teach that any vector in R^2 could become a linear combination of these two vectors, thus it could become a new coordinate system.

Even though this is probably introduced in a later chapter, a curious reader will be able to question why the gray dots are form with integer coefficients and leave them with a wrong impression.

> I'm only halfway into the first chapter but I already hate it.

Can you please make your substantive points more respectfully? This is in the Show HN guidelines: https://news.ycombinator.com/newsguidelines.html.

Your comment would be just fine without that first sentence. When people share their work, they're putting themselves in a vulnerable position, and there's no need to lead with a smack.

So sad that you didn't like the book : (

I'm not really a visual guy, so let me rewatch the awesome 3Blue1Brown series and try to visualize it again:

https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2x...