3 You are given that \(\mathbf { N } = \left( \begin{array} { r r r } - 9 & - 2 & - 4
3 & 2 & 2
5 & 1 & 2 \end{array} \right)\) and \(\mathbf { N } ^ { - 1 } = \left( \begin{array} { r r r } 1 & 0 & 2
2 & 1 & 3
- \frac { 7 } { 2 } & p & - 6 \end{array} \right)\).
- Find the value of \(p\).
- Solve the equation \(\mathbf { N } \left( \begin{array} { c } x
y
z \end{array} \right) = \left( \begin{array} { r } - 39
5
22 \end{array} \right)\).