For each ( y ) and each subspace ( W ), the vector ( y - ext{proj}_W y ) is orthogonal to ( W ).
Added by Sean E.
Step 1
Step 1: Recall that the projection of a vector \( y \) onto a subspace \( W \) is given by \( \text{proj}_W y = \frac{y \cdot w}{w \cdot w} w \), where \( w \) is a basis for \( W \). Show more…
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