7 The matrix \(\mathbf { A }\) is given by \(\mathbf { A } = \left( \begin{array} { r r } 0.6 & 2.4
- 0.8 & 1.8 \end{array} \right)\).
- Find \(\operatorname { det } \mathbf { A }\).
The matrix A represents a stretch parallel to one of the coordinate axes followed by a rotation about the origin.
- By considering the determinants of these transformations, determine the scale factor of the stretch.
- Explain whether the stretch is parallel to the \(x\)-axis or the \(y\)-axis, justifying your answer.
- Find the angle of rotation.