# invertible linear transformation

An invertible linear transformation is a linear transformation $T:V\u27f6W$ which is a bijection.

If $V$ and $W$ are finite dimensional, the linear transformation $T$ is invertible^{} if and only if the matrix of $T$ is not singular^{}.

Title | invertible linear transformation |
---|---|

Canonical name | InvertibleLinearTransformation |

Date of creation | 2013-03-22 12:19:16 |

Last modified on | 2013-03-22 12:19:16 |

Owner | djao (24) |

Last modified by | djao (24) |

Numerical id | 5 |

Author | djao (24) |

Entry type | Definition |

Classification | msc 15A04 |

Defines | invertible |