Eigenvectors in 2D

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Select the coefficients of the matrix and drag the red arrow. The blue arrow shows the result of multiplication by . An eigenvector is represented by the alignment of the two arrows; the eigenvalue is the ratio of their lengths. The arrows can align twice, once, or not at all, depending on whether A has two eigenvalues, a single one, or no real eigenvalues.

Contributed by: David K. Watson (September 2007)
Open content licensed under CC BY-NC-SA


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This was inspired by an example in the ATLAST (Augmenting the Teaching of Linear Algebra through the use of Software Tools) project.



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