Question: Algebra 4. Let V be an inner product space with an orthonormal basis B = {V1, V2, Vn}. Let v = a1v1+a2v2+...+anvn and w

Algebra 4. Let V be an inner product space with an orthonormal

Algebra 4. Let V be an inner product space with an orthonormal basis B = {V1, V2, Vn}. Let v = a1v1+a2v2+...+anvn and w = bv+b2v2+...+bvn. Prove (v, w) = a1b1+a2b2+...+abn

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