What eigenvalues and eigenvectors mean geometrically

We introduce the idea of eigenvalues and eigenvectors geometrically. Eigenvectors coorespond to a direction where the matrix acts only by stretching, with stretching factor the eigenvalues. This makes the matrix transformation very simple in these directions!

How to COMPUTE eigenvalues/eigenvectors:    • Using determinants to compute eigenva...  
How to VISUALIZE a basis of eigenvectors:    • Visualizing Diagonalization & Eigenbases  

Course Playlists:
►Linear Algebra:    • Linear Algebra (Full Course)  

►Calculus I:    • Calculus I (Limits, Derivative, Integ...  

►Calculus II:    • Older Calculus II (New Playlist For S...  

►Discrete Math:    • Discrete Math (Full Course: Sets, Log...  


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This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati.

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