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Eigen demo with sound

Visualization of eigenvectors by rotating and lining up an input vector \(\mathbf{x}\) and output vector \(A\mathbf{x}\). Several matrices are used to explain topics. The visual components are narrated by Gil Strang to further explain ideas.

Identifier: 
http://ocw.mit.edu/ans7870/18/18.06/tools/Applets_sound_all/eigen_sound_all.html
Rating: 
Average: 4.5 (2 votes)
Creator(s): 
MIT Open Courseware
Cataloger: 
David Hill
Publisher: 
MIT Open Courseware
Rights: 
MIT Open Courseware

Comments

dhill001@temple.edu's picture

Cases of eigenvalues are explored geometrically; concepts include eigenvalues, eigenvectors, rotation matrix, distinct eigenvalues, repeated eigenvalues, a zero eigenvalue, complex eigenvalues, defective matriices, symmetric matrices.

Anonymous's picture

Several variations of eigenvalues and eigenvectors are given for \(2 \times 2\) matrices.