# 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