Question: 1. Prove that x is in W if and only if projw(x) = x. 2. Prove that x is orthogonal to W if and only

1. Prove that x is in W if and only if projw(x) = x.
2. Prove that x is orthogonal to W if and only if projw(x) = 0.
3. Prove that projw(projw(x)) = projw(x).

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