# Thread: Do we just multiply everything?

1. ## Do we just multiply everything?

Picture, because i don't remember doing something like this in my life.

The set of 2 by 2 matrices forms a vector space with scalar multiplication defined by $u\begin{bmatrix}a & b \\ c & d\end{bmatrix}= \begin{bmatrix} ua & ub \\ uc & ud\end{bmatrix}$.