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Eigenvector mystery
10-19-2020, 06:33 PM (This post was last modified: 10-19-2020 06:54 PM by JurgenRo.)
Post: #4
RE: Eigenvector mystery
(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 Wink 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
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Messages In This Thread
Eigenvector mystery - John Keith - 10-18-2020, 09:31 PM
RE: Eigenvector mystery - pinkman - 10-18-2020, 10:54 PM
RE: Eigenvector mystery - JurgenRo - 10-19-2020 06:33 PM
RE: Eigenvector mystery - Albert Chan - 10-19-2020, 07:13 PM
RE: Eigenvector mystery - Thomas Okken - 10-19-2020, 07:19 PM
RE: Eigenvector mystery - JurgenRo - 10-19-2020, 07:35 PM
RE: Eigenvector mystery - JurgenRo - 10-19-2020, 07:26 PM
RE: Eigenvector mystery - pinkman - 10-19-2020, 08:57 PM
RE: Eigenvector mystery - Thomas Okken - 10-19-2020, 09:42 PM
RE: Eigenvector mystery - Valentin Albillo - 10-20-2020, 12:08 AM
RE: Eigenvector mystery - JurgenRo - 10-21-2020, 06:57 PM
RE: Eigenvector mystery - JurgenRo - 10-21-2020, 06:58 PM
RE: Eigenvector mystery - Albert Chan - 10-18-2020, 11:58 PM
RE: Eigenvector mystery - John Keith - 10-24-2020, 02:03 PM
RE: Eigenvector mystery - Albert Chan - 10-26-2020, 04:25 PM
RE: Eigenvector mystery - John Keith - 10-27-2020, 12:37 PM



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