If the product Ax points in the same direction as the vector x, we say that x is an eigenvector of A. Eigenvalues and eigenvectors describe what happens when a matrix is multiplied by a vector. In this session we learn how to find the eigenvalues and eigenvectors of a matrix.
Lecture 21: Eigenvalues and Eigenvectors
Problem Solving: Eigenvalues and Eigenvectors
Work the problems on your own and check your answers when you're done.
These demonstrations employ Java® applets with voice-over narration by Professor Strang.
These mini-lectures with voice-over narration below help to explain some key Eigenvalue concepts.
*Funding for these demonstrations was provided by a grant from the The d'Arbeloff Fund for Excellence in MIT Education as part of The d'Arbeloff Interactive Mathematics Project (d'A I M P).