File:Eigenvectors.gif

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Eigenvectors.gif(300 × 300 pixels, file size: 58 KB, MIME type: image/gif, looped, 30 frames, 10 s)

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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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Author Lucas Vieira
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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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15 May 2012

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Date/TimeThumbnailDimensionsUserComment
current18:34, 15 May 2012Thumbnail for version as of 18:34, 15 May 2012300 × 300 (58 KB)LucasVBMore accurate version.

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