# What are eigenvectors and eigennumbers?

Mar 2, 2017

Suppose $A$ is a linear transformation that we can define in a given subspace. We say that $\vec{v}$ is an eigenvector of said linear transformation if and only if there exists a $\lambda$ scalar such that:
$A \cdot \vec{v} = \lambda \cdot \vec{v}$
To this scalar $\lambda$ we will call it eigenvalue associated with the eigenvector $\vec{v}$.