Question #7e09b

1 Answer
Nov 20, 2016

Please see Explanation.

Explanation:

Definition:
If for a ntimesn matrix A exists such a nonzero vector v satisfying Av=\lambda v, where lambda is a scalar, we say that v is an eigenvactor of the matrix A and lambda is an eigenvalue of the matrix A associated with the eigenvector v.

As for where to find them in real life:
I'm not very sure but I think I saw something about something about applications of eigenvalues in quantum mecanics (but maybe it is 'too real life'). Also searching for aplications of The Perron-Frobenius Theorem may bring you closer to your answer.