3. \(\mathbf { M } = \left( \begin{array} { r r r } 3 & 1 & p
1 & 1 & 2
- 1 & p & 2 \end{array} \right)\) where \(p\) is a real constant (a) Find the exact values of \(p\) for which \(\mathbf { M }\) has no inverse. Given that \(\mathbf { M }\) does have an inverse, (b) find \(\mathbf { M } ^ { - 1 }\) in terms of \(p\).
3. \(\mathbf { M } = \left( \begin{array} { r c c } 3 & 1 & p
1 & 1 & 2
- 1 & p & 2 \end{array} \right)\) where \(p\) is a real constant
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