As I mentioned in another comment, your solution derivation doesn't make sense for someone who hasn't already seen/done it before. And for them, the intro seems

As I mentioned in another comment, your solution derivation doesn't make sense for someone who hasn't already seen/done it before. And for them, the intro seems a bit too cutesy. It seems to me that you're trying to condense a few weeks of intro linear algebra into a single blog post. In my experience that only works as a refresher, not for someone starting from zero.