Eigenvector mystery

[JurgenRo]

(10-18-2020 10:54 PM)pinkman Wrote:  If I remember, there are an infinite number of eigenvectors, the most important are the eigenvalues.
Did you check if the eigenvalues are equal?

You should really reread this in a textbook For a nxn Matrix there are at most n different EValues (which are numbers). EVectors (which are vectors) to different EValues are linear independent, so you end up with at most n linear independent EValues either. Eigenvalues (w) and eigenvectors (v) of a matrix (M) belong inseparably together and define each other: Mv=wv.

Edit: Typo, equation added