Let {u1,..., un} be an orthonormal basis for a complex inner product space V, and let z

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Let {u1,..., un} be an orthonormal basis for a complex inner product space V, and let
z = a1u1 + a2u2 + ... + anun
w = b1u1 + b2u2 + ... + bnun
Show that
(z, w)
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