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=[27910123402129000]\text E = \left[\begin{array}{rr}2 & 7 & 9 & 10\\ 1 & 2 & -3 & 4\\ 0 & -2 & 1 & 2\\ 9 & 0 & 0 & 0\end{array}\right]
Find the result of E, space, v, with, vector, on top for v=[1214]\vec{v}=\left[\begin{array}{r} 1 \\ 2 \\ -1 \\4\end{array}\right].