1.
$$\mathbf { P } = \left( \begin{array} { r r }
0 & - 1
1 & 0
\end{array} \right) \quad \mathbf { Q } = \left( \begin{array} { l l }
1 & 0
0 & 3
\end{array} \right)$$
- Describe fully the single geometrical transformation \(P\) represented by the matrix \(\mathbf { P }\).
- Describe fully the single geometrical transformation \(Q\) represented by the matrix \(\mathbf { Q }\).
The transformation \(P\) followed by the transformation \(Q\) is the transformation \(R\), which is represented by the matrix \(\mathbf { R }\).
- Determine \(\mathbf { R }\).
- Evaluate the determinant of \(\mathbf { R }\).
- Explain how the value obtained in (c)(i) relates to the transformation \(R\).