Question: Problem 5 Let V be a nite dimensional vector space with an inner product (, ). Let B = {'01, . . . ,vn} be

Problem 5 Let V be a nite dimensional vector space with an inner product (, ). Let B = {'01, . . . ,vn} be a basis of V (not necessarily orthonormal). Prove that given (31,... ,0\" E R, there is a unique 2) E V such that (mm) = (:3- for 1 g 2' S n

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