Transform vectors using matrices

Find the result (both algebraically and graphically) of transforming a vector using a transformation matrix.

Problem

The transformation E, space, x, with, vector, on top is defined by the following matrix.
E=[2211]\text E = \left[\begin{array}{rr}-2 & -2 \\ -1 & 1\end{array}\right]
Plot the result of E, space, v, with, vector, on top for v=[21]\vec{v}=\left[\begin{array}{r}2 \\ 1\end{array}\right].