I have the following base for :
I want to orthogonalize this base with respect to the inner product:
somthing doesn't add up, and I suspect that I have made some calculation error, even though I checked several times.
so let's say the new orthogonal base will be
I first set .
(I checked it - it is correct, since it's orthogonal to , which is 1)
but when I try to find , I get:
so this is what I get, but is NOT orthogonal to neither or !
any help would be greatly appreciated!