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shear on a circle and a square

scaling a circle and a square

rotating and scaling a picture

displacement of vectors on the unit circle

eigenvectors and eigenvalues

eigencircles of \(A\), \(A^{-1}\) and \(A^{T}\)

singular value decomposition visualized

developing the polar decomposition by stepping backwards through the transformation

Enjoy seeing the complex eigenvectors and eigenvalues of a rotation

Figures on Linear transformations