5.
$$\mathbf { M } = \left( \begin{array} { r r r }
a & 2 & - 3
2 & 3 & 0
4 & a & 2
\end{array} \right) \quad \text { where } a \text { is a constant }$$
- Show that \(\mathbf { M }\) is non-singular for all values of \(a\).
- Determine, in terms of \(a , \mathbf { M } ^ { - 1 }\)