3 The matrices \(\mathbf { A }\) and \(\mathbf { B }\) are given by \(\mathbf { A } = \left( \begin{array} { r l } 2 & 1
- 4 & 5 \end{array} \right) , \mathbf { B } = \left( \begin{array} { l l } 3 & 1
2 & 3 \end{array} \right)\) and \(\mathbf { I }\) is the \(2 \times 2\) identity matrix. Find
- \(4 \mathbf { A } - \mathbf { B } + 2 \mathbf { I }\),
- \(\mathrm { A } ^ { - 1 }\),
- \(\left( \mathbf { A B } ^ { - 1 } \right) ^ { - 1 }\).