Eigenvectors.gif
Description Eigenvectors.gif |
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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Date | ||||
Source | Own work | |||
Author | Lucas Vieira | |||
Permission
( Reusing this file ) |
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Other versions |
Extended version showing all quadrants: |