Consider the two matrices

\[\boldsymbol{A}=\begin{array}{cr}3 & 2 \pi \\5 j & 10+\sqrt{2}\end{array} \quad j \quad \boldsymbol{B}=\begin{array}{cc}7 j & -15 j \\2 \pi & 18\end{array}\]

Using MATLAB, determine the following:(a) $\boldsymbol{A}+\boldsymbol{B}$

(b) $\boldsymbol{A B}$

(c) $\boldsymbol{A}^{2}$

(d) $\boldsymbol{A}^{T}$

(e) $\boldsymbol{B}^{-1}$

(f) $B^{T} A^{T}$

(g) $\boldsymbol{A}^{2}+\boldsymbol{B}^{2}-\boldsymbol{A B}$