## Eigenvalues and Eigenvectors

Tags: #math #eigenvalues #eigenvectors#### Latex Code

A\mathbf{u}=\lambda\mathbf{u} \\ P_{n}(\lambda)=|A-\lambda I|

#### Introduction

The n eigenvalues and eigenvectors of an n by n matrix A are the solutions of the equation . The eigenvalues are the zeros of the polynomial of degree n . Additionally, is called the characteristic equation of the matrix.