Determine the eigenvalues and eigenvectors of the following matrices using MATLAB. 

(a) $\boldsymbol{A}=\begin{array}{rr}1 & -2 \\ 1 & 3\end{array}$ 

(b) $\boldsymbol{A}=\begin{array}{rr}1 & 5 \\ -2 & 4\end{array}$ $\begin{array}{lll}4 & -1 & 5\end{array}$ $\begin{array}{lll}3 & 5 & 7\end{array}$ 

(c) $\boldsymbol{A}=\begin{array}{lll}2 & 1 & 3\end{array}$ 

(d) $\boldsymbol{A}=\begin{array}{lll}2 & 4 & 8\end{array}$ $\begin{array}{lll}6 & -7 & 9\end{array}$ $\begin{array}{lll}5 & 6 & 10\end{array}$ 

(e) $\boldsymbol{A}=\begin{array}{rrrr}3 & 0 & 2 & 1 \\ 1 & 2 & 5 & 4 \\ 7 & -1 & 2 & 6 \\ 1 & -2 & 3 & 4\end{array}$ (f) $\boldsymbol{A}=\begin{array}{rrrr}1 & 3 & 5 & 7 \\ 2 & -1 & -2 & 4 \\ 3 & 2 & 1 & 1 \\ 4 & 1 & 0 & 6\end{array}$