Let V be a finite dimensional inner product space over the field C of complex
numbers. Suppose B = {x1, x2, . . . , xn} is an orthonormal basis of V .
Prove that for all x, y ∈ V ,
(x|y) = Xn
i=1
(x|xi)(y|xi).
If is a basis of an n -dimensional inner product space , then
So:
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