Eigenvalues And Eigenvectors -

): A non-zero vector that, when multiplied by a square matrix

): The scalar factor by which the eigenvector is stretched or compressed. These are related by the equation , which can be rewritten to find eigenvalues as is the identity matrix. Key Feature Applications Eigenvalues and Eigenvectors

Eigenvalues and eigenvectors are "features" themselves in many computational and analytical processes: ): A non-zero vector that, when multiplied by

, does not change its direction; it is only scaled by a scalar factor. Eigenvalue ( ): A non-zero vector that