Practical applications of eigenvectors

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Martin III
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Homework Statement


A simple eigenvector problem using a 2x2 matrix.

Homework Equations


[tex]Ax = \lambda x[/tex]

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.
 

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