Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Gram Schmidt

  1. Apr 10, 2007 #1
    I have a question about Gram Schmidt Orthonormalization. I know you can orthogonalize then normalize.

    My question is can you (multipy/divide) the given vectors by a scalar to give new vectors, then orthogonalize(by taking projection), then normalize the result?

    would the result still span the space of the orgional vectors?
  2. jcsd
  3. Apr 10, 2007 #2


    User Avatar
    Homework Helper

    Of course, just imagine the scalar hanging out front the whole time, then it goes away when you normalize at the end.
  4. Apr 10, 2007 #3
    Thank you!
    Last edited: Apr 10, 2007
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook