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Q19Section I (General (compulsory))19 of 180

The one orthogonal-complement fact that needs no extra hypotheses

Let V be an inner product space, W be a subspace of V and W⊥={v∈V/⟨v,w⟩=0 for all w∈W}W^\perp=\{v\in V/\langle v,w\rangle=0\text{ for all }w\in W\}. Then:

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