Answer
$\begin{bmatrix} -2&0&0\\1&1&-3\end{bmatrix}$
Work Step by Step
The matrix of the initial triangle's coordinates is:
$B=\begin{bmatrix}0&2&2\\0&0&-4\end{bmatrix}$
In order to move the triangle 2 units left, we must subtract 2 from each $x$-coordinate.
In order to move the triangle 1 unit up, we must add 1 to each $y$-coordinate.
The change matrix is:
$T=\begin{bmatrix} -2&-2&-2\\1&1&1\end{bmatrix}$
Determine the new coordinates:
$B+T=\begin{bmatrix}0&2&2\\0&0&-4\end{bmatrix}+\begin{bmatrix} -2&-2&-2\\1&1&1\end{bmatrix}$
$=\begin{bmatrix} 0-2&2-2&2-2\\0+1&0+1&-4+1\end{bmatrix}$
$=\begin{bmatrix} -2&0&0\\1&1&-3\end{bmatrix}$
