# Cayley-Hamilton theorem

Let $T$ be a linear operator on a finite-dimensional vector space^{} $V$, and let $c(t)$ be the characteristic polynomial^{} of $T$. Then $c(T)={T}_{0}$, where ${T}_{0}$ is the zero transformation. In other words, $T$ satisfies its own characteristic equation.

Title | Cayley-Hamilton theorem^{} |
---|---|

Canonical name | CayleyHamiltonTheorem |

Date of creation | 2013-03-22 12:17:43 |

Last modified on | 2013-03-22 12:17:43 |

Owner | akrowne (2) |

Last modified by | akrowne (2) |

Numerical id | 4 |

Author | akrowne (2) |

Entry type | Theorem |

Classification | msc 15A15 |

Classification | msc 15A18 |