Eigenvectors in 2D

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.

SNAPSHOTS

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DETAILS

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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