2 – Linear Combinations 2

This is a good time to talk about how people commonly think about vectors as points. It gets really crowded to think about a whole collection of vectors, sitting on a line. And more crowded still, to think about all two-dimensional vectors all at once filling up the plane. So when dealing with collections of … Read more

1 – Linear Combinations 1

In the last video, along with the ideas of vector addition and scalar multiplication, I described vector coordinates, where there’s this back and forth between, for example, pairs of numbers and two-dimensional vectors. Now, I imagined the vector coordinates were already familiar to a lot of you, but there’s another kind of interesting way to … Read more