File:Eigenvectors.gif

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Eigenvectors.gif (300 × 300 pixels, dimension del file: 58 KB, typo MIME: image/gif, repetente, 30 photogrammas, 10 s)

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Description

The transformation matrix preserves the direction of vectors parallel to (in blue) and (in violet). The points that lie on the line through the origin, parallel to an eigenvector, remain on the line after the transformation. The vectors in red are not eigenvectors, therefore their direction is altered by the transformation.

Notice that the blue vectors are scaled by a factor of 3. This is their associated eigenvalue. The violet vectors are not scaled, so their eigenvalue is 1.
Data
Origine Obra proprie
Autor Lucas Vieira
Permission
(Reuso de iste file)
Public domain Io, titular del derecto de autor sur iste obra, libera iste obra al dominio public. Isto vale in tote le mundo.
In alcun paises isto pote non esser legalmente possibile. In tal caso:
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Alcun valor sin elemento Wikidata

URL: https://commons.wikimedia.org/wiki/user:LucasVB
Wikimedia username anglese: LucasVB
author name string anglese: Lucas Vieira

data de inception

15 maio 2012

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Data/HoraMiniaturaDimensionesUsatorCommento
actual01:34, 16 maio 2012Miniatura pro le version de 01:34, 16 maio 2012300 × 300 (58 KB)wikimediacommons>LucasVBMore accurate version.

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