Tuesday, May 12, 2015

Think Eigenvector (Mona Lisa Restored) Tile


tagged with: think eigenvector, math, statistician, mathematician, mona lisa restored, eigenvalues, words and unwords, geek humor, mona lisa humor, geometry, eigenvector, eigenvalue, geek, saying, mona lisa

If you think in terms of eigenvectors, you'll enjoy any of these gifts featuring a mapping of a restored Mona Lisa along with the caption "Think Eigenvector". In this shear mapping the red arrow changes direction but the blue arrow does not. The eigenvectors of a square matrix are the non-zero vectors that, after being multiplied by the matrix, remain parallel to the original vector. Thus, the blue arrow is an eigenvector, with eigenvalue 1 as its length is unchanged.

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