3 The points \(\mathrm { A } , \mathrm { B }\) and C in the triangle in Fig. 3 are mapped to the points \(\mathrm { A } ^ { \prime } , \mathrm { B } ^ { \prime }\) and \(\mathrm { C } ^ { \prime }\) respectively under the transformation represented by the matrix \(\mathbf { M } = \left( \begin{array} { l l } 2 & 0
0 & \frac { 1 } { 2 } \end{array} \right)\).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4a339746-195f-477a-952e-02fbdfd9cce5-2_446_444_1046_808}
\captionsetup{labelformat=empty}
\caption{Fig. 3}
\end{figure}
- Draw a diagram showing the image of the triangle after the transformation, labelling the image of each point clearly.
- Describe fully the transformation represented by the matrix \(\mathbf { M }\).