# nullity

The *nullity ^{}* of a linear mapping is the dimension

^{}of the mapping’s kernel. For a linear mapping $T:V\to W$, the nullity of $T$ gives the number of linearly independent

^{}solutions to the equation

$$T(v)=0,v\in V.$$ |

The nullity is zero if and only if the linear mapping in question is injective.

Title | nullity |
---|---|

Canonical name | Nullity |

Date of creation | 2013-03-22 12:24:06 |

Last modified on | 2013-03-22 12:24:06 |

Owner | rmilson (146) |

Last modified by | rmilson (146) |

Numerical id | 6 |

Author | rmilson (146) |

Entry type | Definition |

Classification | msc 15A03 |

Related topic | RankLinearMapping |

Related topic | RankNullityTheorem |