Image:Mona Lisa with eigenvector.png

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Summary

Description

On the left, a reproduction of the Mona Lisa with a representation of two vectors superimposed on top of it. The red arrow represents a vector in three dimensions pointing directly up on the plane of the painting and the blue arrow represents a unique arbitrary vector on the painting. On the right is the the result of a shear transformation on the image on the left. The blue arrow now represents a different vector, while the red one still represents the same vector. For this reason, the red vector is an eigenvector of the transformation, and the blue vector is not.

Source

The image of the Mona Lisa used in this image is Image:Mona_Lisa.jpeg. Arrows created using w:Inkscape, transformations made using w:GIMP

Date

October 20, 2006

Author

J. Finkelstein

Permission
( Reusing this image)

"I, the author of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law." - Vb 10:31, 5 October 2005 (UTC)

Other versions Image:Eigen.jpg

Licensing

Public domain This image has been (or is hereby) released into the public domain by its author, Vb at the wikipedia project. This applies worldwide.

In case this is not legally possible:
Vb grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

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Date/Time Dimensions User Comment
current 20:32, 20 October 2006 1,643×1,395 (3.16 MB) J. Finkelstein ({{Information |Description=On the left, a reproduction of the Mona Lisa with a representation of two vectors superimposed on top of it. The red arrow represents a vector in three dimensions pointing directly up on the plane of the painting and the blue ar)
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