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.
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...
> 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.
Sorry! It's too late to edit my comment now but as moderator please feel free to delete that sentence.
Ok! I've done that and will mark my GP comment offtopic and collapse it.