Consider the hyperplane $H$: $∑x_{i}=k$, where k is a constant and $i=1...n$. How do we project a vector onto this subspace? More precisely, how do we compute the projection matrix $P$?
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See related question and answer in here: https://math.stackexchange.com/questions/2320236/projection-on-the-hyperplane-h-sum-x-i-0?rq=1 – MOMO Jan 31 '19 at 00:39
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Thank you! I did take a look at it. As I'm vastly inexperienced in this field, I'm having trouble accounting for the constant k in the rhs, in my calculation. Maybe you could help me with a hint? – Mishti Jan 31 '19 at 00:55
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Try and draw it in 2 dimension to understand the connection between the different projections to the hyperplanes when the constant is either $k$ or $0$. – MOMO Jan 31 '19 at 06:59