I don't have a background in math; I do have a basic understanding of linear algebra though. I am trying to understand the next part from "Deep learning" book:
I don't understand what they are explaining in that paragraph. I played around with the formula and I got:
$$\alpha=0, \ \ \ z=y$$
$$\alpha=1, \ \ \ z=x$$
$$\alpha=2,\ \ \ z=2x-y$$
$$\alpha=-1,\ \ \ z=-x+2y$$
$$\alpha=-2, \ \ \ z=-2x+3y$$
I don't know where this is going... Also per the paragraph explanation, I am expecting a formula that includes b.
Unfortunately, given my lack of math I am only comfortable with graphical explanations or real life examples.