Let V be a finite-dimensional inner product space over F. (a) Parseval's Identity. Let

Chapter 6, Problem 15

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Let V be a finite-dimensional inner product space over F. (a) Parseval's Identity. Let {u\ ,v2,... ,vn} be an orthonormal basis for V. For any x. y G V prove that n (x.y) ="^2{x,Vi)(y,Vi}.

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