8 The matrix \(\mathbf { T }\) is given by \(\mathbf { T } = \left( \begin{array} { r r } 2 & 0
0 & - 2 \end{array} \right)\).
- Draw a diagram showing the unit square and its image under the transformation represented by \(\mathbf { T }\). [3]
- The transformation represented by matrix \(\mathbf { T }\) is equivalent to a transformation \(A\), followed by a transformation B. Give geometrical descriptions of possible transformations A and B, and state the matrices that represent them.