4 The matrix \(\mathbf { M }\) is \(\left( \begin{array} { r r r } 0 & - 1 & 0
1 & 0 & 0
0 & 0 & 1 \end{array} \right)\).
- Calculate \(\operatorname { det } \mathbf { M }\).
- State two geometrical consequences of this value for the transformation associated with \(\mathbf { M }\).
- Describe fully the transformation associated with \(\mathbf { M }\).