1 The matrix \(\mathbf { A }\) is given by \(\mathbf { A } = \left( \begin{array} { c c c } - 3 & 3 & 2
5 & - 4 & - 3
- 1 & 1 & 1 \end{array} \right)\).
- Find \(\mathbf { A } ^ { - 1 }\).
- Solve the simultaneous equations
$$\begin{aligned}
- 3 x + 3 y + 2 z & = 12 a
5 x - 4 y - 3 z & = - 6
- x + y + z & = 7
\end{aligned}$$
giving your solution in terms of \(a\).