Chapter 3.1, Problem 18P

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

$A=\left(\begin{array}{cc}\frac{5}{4}& \frac{3}{4}\\ -\frac{3}{4}& -\frac{1}{4}\end{array}\right)$