Question: Let W Rn be a subspace, with orthogonal complement W . This means any vector ~v Rn can be written uniquely as a sum ~v

Let W Rn be a subspace, with orthogonal complement W . This means any vector ~v Rn can be written uniquely as a sum ~v = ~w +~u, where ~w W and ~u W. Define P : Rn Rn by P (~v) = ~w.

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