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Eigenvectors in 2D

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coefficients of matrix A:
a
11
a
12
a
21
a
22
Select the coefficients of the matrix
A
and drag the red arrow. The blue arrow shows the result of multiplication by
A
. 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.
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