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Linear Transformation with Given Eigenvectors

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

THINGS TO TRY

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RELATED LINKS

    Eigenvalue (Wolfram MathWorld)
    Eigenvector (Wolfram MathWorld)
    Linear Transformation (Wolfram MathWorld)

PERMANENT CITATION

"Linear Transformation with Given Eigenvectors" from the Wolfram Demonstrations Project
 demonstrations.wolfram.com/LinearTransformationWithGivenEigenvectors/
Contributed by: Yaroslav Bulatov
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