(Solved): a) Answer the following: i) Construct a \( 2 \times 2 \) system of linear equations that has a uni ...

a) Answer the following: i) Construct a \( 2 \times 2 \) system of linear equations that has a unique solution and briefly explain your rationale. Solve the system using the \( \mathrm{AX}=\mathrm{B} \) matrix method. Note that all coefficients must be non-zero. ii) What are the possible values of the parameters \( a, b \) such that the following system of equations has no solutions? Give one specific possible pair. Briefly explain your solution. \[ \begin{array}{l} 3 x-a y=b \\ -b x+4 y=-3 \end{array} \]