Question

Could anyone help me with this? Will medal and fan! Just a point in the right direction would be really useful
Apply Gram-Schmidt orthonormalisation to the basis (1,0,0), (0,1,0), (0,0,1) of R3 equipped with the inner product defined by (x,y)= 2 x1 y1 + x2 y2 + 3 x3 y3 - x2 y3 - x3 y2

Answer 1

what do you think?

Answer 2

Well I was thinking that the basis given is already orthonormal? If I apply gram-schmidt to it then it will just come out with the same result. I'm just unsure as to what the inner product does to this?