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Let X be an inner product space with complex scalars, and inner product (x, y) & norm ||x|| = (x, x). & X =


 Let ( X ) be an inner product space with complex scalars, and inner product ( (x, y) & ) norm ( |x| equiv sqrt{(x,

Let X be an inner product space with complex scalars, and inner product (x, y) & norm ||x|| = (x, x). & X = sp{} where () Sk a)Prove:{} is linearly independent. N b) Prove: x=(x) \x=X k=1 N c) Prove: x = 2,x) Vx X k=1

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a To prove that the set N is linearly independent we need to show that if there exist scalars c1 c2 dots cn such that c1 N1 c2 N2 dots cn Nn 0 then al... blur-text-image

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