Practical applications of eigenvectors

[Martin III]

Homework Statement

A simple eigenvector problem using a 2x2 matrix.

Homework Equations

$$Ax = \lambda x$$

The Attempt at a Solution

I don't have one. I know and understand the theory behind eigenvectors, but I cannot think of a practical application. I need to create a problem that uses eigenvalues/eigenvectors as a solution.

 

[Bill Foster]

Does this site help?

http://en.wikipedia.org/wiki/Eigenvalue