1.
$$\mathbf { M } = \left( \begin{array} { r r r }
2 & 1 & - 3
4 & - 2 & 1
3 & 5 & - 2
\end{array} \right)$$
- Find \(\mathbf { M } ^ { - 1 }\) giving each element in exact form.
- Solve the simultaneous equations
$$\begin{array} { r }
2 x + y - 3 z = - 4
4 x - 2 y + z = 9
3 x + 5 y - 2 z = 5
\end{array}$$ - Interpret the answer to part (b) geometrically.
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