Solve the linear system \(\mathbf{A x}=\mathbf{b}\) by using

a. The inverse of the coefficient matrix.

b. 1 The "\" operator in MATLAB.

\(\mathbf{A}=\left[\begin{array}{cccc}3 & 2 & 0 & 0 \\ \frac{1}{2} & \frac{4}{3} & -1 & 0 \\ 1 & 0 & \frac{3}{2} & 1 \\ 0 & 0 & 1 & -1\end{array}\right], \mathbf{b}=\left\{\begin{array}{c}-1 \\ -\frac{1}{6} \\ -\frac{1}{2} \\ 2\end{array}\right\}\)