# Gram-Schmidt process

• March 31st 2009, 03:01 PM
antman
Gram-Schmidt process
How do you use the Gram-Schmidt process to find an orthonormal basis for the subspace of R^4 with basis {(1,1,-1,0),(0,2,0,1),(-1,0,0,1)}? Thank you.
• March 31st 2009, 04:45 PM
NonCommAlg
Quote:

Originally Posted by antman

How do you use the Gram-Schmidt process to find an orthonormal basis for the subspace of R^4 with basis {(1,1,-1,0),(0,2,0,1),(-1,0,0,1)}? Thank you.

call your three vectors $v_1,v_2,v_3.$ now take a look at this. the vectors you're looking for are $e_1,e_2,e_3$