Category:Generalized Eigenvectors

This category contains results about Generalized Eigenvectors.
Definitions specific to this category can be found in Definitions/Generalized Eigenvectors.

Let $\mathbf A$ be a square matrix of order $n$.

Let $\lambda$ be a generalized eigenvalue of $\mathbf A$.

Hence:

$\mathbf A \mathbf x = \lambda \mathbf B \mathbf x$

for:

some non-zero vector $\mathbf x$

some square matrix $\mathbf B$ of order $n$.

The vector $\mathbf x$ is known as the generalized eigenvector corresponding to $\lambda$.