Draw and transform triangle PQR with vertices P(1,1), Q(-3,2), and R(0,3) using the matrix (3 0; 1 1).

Here are the steps to solve the problem:

Part (a): Draw $\triangle PQR$
The vertices of $\triangle PQR$ are given as $P(1,1)$, $Q(-3,2)$, and $R(0,3)$.
To draw the triangle, plot these three points on the grid and connect them with straight lines.

Part (b): Find and draw the image of $\triangle PQR$ under the transformation whose matrix is $\begin{pmatrix} 3 & 0 \\ 1 & 1 \end{pmatrix}$ and label the image $P'Q'R'$.

Step 1: Apply the transformation matrix $M_1 = \