Eigen demo with sound

Topic(s):

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

Subject:

Linear Algebra

Eigenvalues and Eigenvectors

Rating:

Creator(s):

MIT Open Courseware

Cataloger:

David Hill

Publisher:

MIT Open Courseware

Rights:

MIT Open Courseware

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Cases of eigenvalues are explored geometrically

Permalink Submitted by [email protected] on Thu, 2014-07-31 00:39

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.