In order to dilate the triangle by a factor of 3, we multiply each component of the Matrix by three. Doing this gives us
[tex]\begin{bmatrix}{3} & {6} & {3} \\ {-3} & {3} & {3} \\ {} & & {}\end{bmatrix}\cdot3=\textcolor{#FF7968}{\begin{bmatrix}{9} & {18} & {9} \\ {-9} & {9} & {9} \\ {} & {} & {}\end{bmatrix}}[/tex]
The matrix on the right is our answer.
