I. Finite Dimensional Inner Product Spaces Let X be an inner product space with complex scalars, and inner product (x, y) & norm ||x|| = (x,x). & X = sp{...} where (0,0)= a) Prove: {} is linearly independent. b) Prove: x = (x) \x \XX k=1 N c) Prove: ||x|| = |(, x) Vx=X k=1