# linear combination

A *linear combination ^{}* of vectors ${v}_{1},\mathrm{\dots},{v}_{n}$
of a vector space

^{}$V$ over a field $F$ is a vector of the form

$$\sum _{i=1}^{n}{a}_{i}{v}_{i},$$ |

where the ${a}_{i}$ are elements of $F$.

Title | linear combination |
---|---|

Canonical name | LinearCombination |

Date of creation | 2013-03-22 11:58:15 |

Last modified on | 2013-03-22 11:58:15 |

Owner | yark (2760) |

Last modified by | yark (2760) |

Numerical id | 16 |

Author | yark (2760) |

Entry type | Definition |

Classification | msc 15A03 |

Related topic | Span |