8 The matrix \(\mathbf { C }\) is given by \(\mathbf { C } = \left( \begin{array} { l l } 3 & 2
1 & 1 \end{array} \right)\).
- Draw a diagram showing the image of the unit square under the transformation represented by \(\mathbf { C }\).
The transformation represented by \(\mathbf { C }\) is equivalent to a transformation S followed by another transformation T.
- Given that S is a shear with the \(y\)-axis invariant in which the image of the point ( 1,1 ) is ( 1,2 ), write down the matrix that represents \(S\).
- Find the matrix that represents transformation T and describe fully the transformation T .