Chapter 9.2, Problem 1E

Use the definition of the complex−valued exponential function $z=e^{\lambda t}$. Solve the system
$\frac{d\stackrel{\to }{x}}{dt}=A\stackrel{\to }{x}$
for a $2\times 2$matrix A with complex eigenvalues $p\pm iq$.
1. Find $e^{2\pi i}$