Consider the two matrices

\[\boldsymbol{A}=\begin{array}{ccc}1 & 0 & 2 \\2 & 5 & 4 \\-1 & 8 & 7\end{array} \text { and } \quad \boldsymbol{B}=\begin{array}{ccc}7 & 8 & 2 \\3 & 5 & 9 \\-1 & 3 & 1\end{array}\]

Using MATLAB, determine the following:

(a) $\boldsymbol{A}+\boldsymbol{B}$

(b) $\boldsymbol{A B}$

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

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

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

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

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

(h) determinant of $\boldsymbol{A}$, determinant of $\boldsymbol{B}$ and determinant of $\boldsymbol{A B}$.