Gram Schmidt

1. Apr 10, 2007

dntmn

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. Apr 10, 2007

StatusX

Of course, just imagine the scalar hanging out front the whole time, then it goes away when you normalize at the end.

3. Apr 10, 2007

dntmn

Thank you!

Last edited: Apr 10, 2007