So I'm to show that the non-zero vector w={v e V|<v,x> = 0} for all x in V that dim(w)=dim(V)-1.(adsbygoogle = window.adsbygoogle || []).push({});

It recommends using the Gram-Schmidt process to prove this but I tried to work it out and I couldn't make any sense of it. Any suggestions on how to start this out?

[edit]: nevermind, I got it. If you were curious, start by saying x is an element of the set S that is linearly independent and spans V. Then do G-S on V and you find that you lose an element of the set, so there you have it.

**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!

# Gram Schmidt Orthonormalization

Loading...

Similar Threads for Gram Schmidt Orthonormalization | Date |
---|---|

Two Gram Schmidt Processes | Nov 24, 2013 |

Gram-Schmidt Method for orthogonal basis | Mar 8, 2012 |

Gram-Schmidt Process | Jun 5, 2011 |

Gram-Schmidt Orthonormalization | Sep 30, 2010 |

Question about Gram-Schmidt orthogonalization | Jul 19, 2009 |

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