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Update lectures/orth_proj.md
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lectures/orth_proj.md

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@@ -352,7 +352,8 @@ P = X (X'X)^{-1} X'
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```
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```{prf:proof} Given arbitrary $y \in \mathbb R^n$ and $P = X (X'X)^{-1} X'$, our claim is that
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```{prf:proof}
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Given arbitrary $y \in \mathbb R^n$ and $P = X (X'X)^{-1} X'$, our claim is that
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1. $P y \in S$, and
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2. $y - P y \perp S$

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