This post assumes you know algebra, but no linear algebra. Lets dive in.There are two big ideas I want to introduce in the first chapter: Gaussian elimination, (which is not strictly a linear algebra thing, and has been around for years before linear algebra came along), and row picture versus column picture, which is a linear algebra thing.Let’s say you have a bunch of nickels and pennies, and you want to know how many of each do you need to have 23 cents.You could write that as an equation tha...