Let R^3 have the inner product <u, v> = u1v1 + 2u2v2 + 3u3v3. Use the Gram-Schmidt process to convert u1=(1,1,1), u2 = (1,1,0), u3 = (1,0,0) into a normal orthonormal basis
I know the process for the orthonomoral converasion. I have no problem with that. I hope I can skip typing those equations out.
The Attempt at a Solution
My confusion is how to use the equation for the dot product. I am thinking that I need to do the Gram-Schmidt process then somehow put the result into the dot product equation.
If I phrased anything wrong or left out something pertinent I apologize this is my first post. So I tried to follow the rules.