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

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15 maio 2012

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Data/HoraMiniaturaDimensionesUsatorCommento
actual00:34, 16 maio 2012Miniatura pro le version de 00:34, 16 maio 2012300 × 300 (58 KB)LucasVBMore accurate version.
11:37, 15 maio 2012Miniatura pro le version de 11:37, 15 maio 2012300 × 300 (66 KB)LucasVB{{Information |Description=Animation depicting eigenvectors of a transformation matrix, showing how they maintain direction. |Source={{own}} |Date=2012-05-15 |Author= Kieff |Permission={{PD-self}} |other_versions= }} [[Category:Linear a...

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