## Eigenvalues and Eigenvectors

Tags: #math #eigenvalues #eigenvectors### Equation

$$A\mathbf{u}=\lambda\mathbf{u} \\ P_{n}(\lambda)=|A-\lambda I|$$### Latex Code

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

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### 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.

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