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Eigenvalues and eigenvectors

math Maturity 9-11

Some arrows stay on their path.

Shear.svg
Shear.svg
When things move, they can stretch. Most arrows turn or tilt. But some arrows only get longer or shorter. They do not change direction. This helps us see how things move. Can you find a straight line?
Mona Lisa eigenvector grid.png
Mona Lisa eigenvector grid.png

48 words
🖼️ Images & Media (12)
File:Mona Lisa eigenvector grid.png
Mona Lisa eigenvector grid.png
File:Eigenvectors of a linear operator.gif
Eigenvectors of a linear operator.gif
File:Eigenvalue equation.svg
Eigenvalue equation.svg
File:Homothety in two dim.svg
Homothety in two dim.svg
File:Unequal scaling.svg
Unequal scaling.svg
File:Rotation.png
Rotation.png
File:Shear.svg
Shear.svg
File:Squeeze r=1.5.svg
Squeeze r=1.5.svg
File:GaussianScatterPCA.png
GaussianScatterPCA.png
File:Mode Shape of a Tuning Fork at Eigenfrequency 440.09 Hz.gif
Mode Shape of a Tuning Fork at...
File:HAtomOrbitals.png
HAtomOrbitals.png
File:Eigenfaces.png
Eigenfaces.png
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📚 Content adapted from Wikipedia | Readability: FK 14.4 | Vital Level 4