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.