I was wondering, some of the things that define a Linear Space such as:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]v \in V[/tex] then [tex]1v = v[/tex] or [tex]\vec{0} \in V[/tex] such that [tex]\vec{0} + v = v[/tex]

They seem very obvious and intuitive, but, is there ever a time they break down in the Real plane? I think they might break down in the complex plane, but, I'm not too sure how they would.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Linear Space

Loading...

Similar Threads for Linear Space | Date |
---|---|

I A different way to express the span | Nov 26, 2017 |

B About vector spaces | Jun 12, 2017 |

I Prove the sequence is exact: 0 → ker(f) → V → im(f) → 0 | Dec 4, 2016 |

I Reflexive relation question | Oct 12, 2016 |

I Proof that every basis has the same cardinality | Oct 6, 2016 |

**Physics Forums - The Fusion of Science and Community**