1 The matrix \(\mathbf { A }\) is \(\left( \begin{array} { r r } 0.6 & 0.8
0.8 & - 0.6 \end{array} \right)\).
- Given that \(\mathbf { A }\) represents a reflection, write down the eigenvalues of \(\mathbf { A }\).
- Hence find the eigenvectors of \(\mathbf { A }\).
- Write down the equation of the mirror line of the reflection represented by \(\mathbf { A }\).