Chapter 3.1, Problem 19P

Eigenvalues and Eigenvectors. In each of Problems $13$ through $32$, find the eigenvalues and eigenvectors of the given matrix.

$A=\left(\begin{array}{cc}-\frac{3}{2}& 1\\ -\frac{1}{4}& -\frac{1}{2}\end{array}\right)$