Prove that {IIxII + IIyII}^2 = IIxII^2 + 2*IIxII*IIyII + IIyII^2 if x and y are elements of a vector space R!?
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Well that's very easy. Let the norm of be definied such as where is an inner product. So you have . It is simply equal to which is equal to what you had to prove.
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