# 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:
Creator(s):
MIT Open Courseware
Cataloger:
David Hill
Publisher:
MIT Open Courseware
Rights:
MIT Open Courseware

### Cases of eigenvalues are explored geometrically

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.

### eigenvalues and eigenvectors for various special 2 x 2 matrices

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