8 [Figure 3, printed on the insert, is provided for use in this question.]
The diagram shows two triangles, \(T _ { 1 }\) and \(T _ { 2 }\).
\includegraphics[max width=\textwidth, alt={}, center]{504b79bf-1bcc-4fa7-a7a0-689c21a8b03a-04_866_883_1318_550}
- Find the matrix of the stretch which maps \(T _ { 1 }\) to \(T _ { 2 }\).
- The triangle \(T _ { 2 }\) is reflected in the line \(y = x\) to give a third triangle, \(T _ { 3 }\).
On Figure 3, draw the triangle \(T _ { 3 }\).
- Find the matrix of the transformation which maps \(T _ { 1 }\) to \(T _ { 3 }\).