Linear Transformation with Given Eigenvectors

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Drag the locators to specify two eigenvectors and their corresponding eigenvalues (taken from the length of the vectors). The image shows how a linear transformation, uniquely determined by these eigenvector/eigenvalue pairs, transforms points on the unit circle.
Contributed by: Yaroslav Bulatov (March 2011)
Open content licensed under CC BY-NC-SA
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"Linear Transformation with Given Eigenvectors"
http://demonstrations.wolfram.com/LinearTransformationWithGivenEigenvectors/
Wolfram Demonstrations Project
Published: March 7 2011