a. Solve the linear system \(\mathbf{A x}=\mathbf{b}\) by using Cramer's rule.

b. \(\uparrow\) Repeat

(a) in MATLAB.

\(\mathbf{A}=\left[\begin{array}{cccc}3 & 2 & 0 & 0 \\ \frac{1}{2} & -\frac{4}{3} & 1 & 0 \\ -1 & 0 & \frac{3}{2} & 1 \\ 0 & 0 & 1 & 1\end{array}\right], \quad \mathbf{b}=\left\{\begin{array}{c}7 \\ -\frac{8}{3} \\ -\frac{3}{4} \\ \frac{1}{2}\end{array}\right\}\)