Question:

Let V be an inner product space with an orthonormal basis B

Last updated: 7/24/2022

Let V be an inner product space with an orthonormal basis B

Let V be an inner product space with an orthonormal basis B {V₁, V2,..., Vn}. Let v = a₁v₁ + a₂V₂+...+anVn and w = b₁V₁+b₂V2+...+bnVn. Prove (v, w) = a₁b₁+a₂b2+...+anbn.