4 The matrix equation \(\left( \begin{array} { r r } 6 & - 2
- 3 & 1 \end{array} \right) \binom { x } { y } = \binom { a } { b }\) represents two simultaneous linear equations in \(x\) and \(y\).
- Write down the two equations.
- Evaluate the determinant of \(\left( \begin{array} { r r } 6 & - 2
- 3 & 1 \end{array} \right)\).
What does this value tell you about the solution of the equations in part (i)?