Course Solutions Uncategorized (Answered) : Suppose V Finite Dimensional Inner Product Space S Subset V S Linearly Independent Prove W Q28128231

(Answered) : Suppose V Finite Dimensional Inner Product Space S Subset V S Linearly Independent Prove W Q28128231

Suppose V is a finite-dimensional inner product space and S is asubset of V such that S is linearly independent. Prove that thereis a w in V such that the inner product of v with w (“< v , w> > 0”)is greater than 0 for all v in S.

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