(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let S be the linear span of the orthogonal set:

{[3 2 2 2 2]^{T},[2 3 -2 -2 -2]^{T},[2 -2 3 -2 -2]^{T}}

Calculate the orthogonal projection of Y = [1 2 -1 3 1]^{T}onto S.

3. The attempt at a solution

Not sure how to go about this...

Do i find a vector that is orthogonal to S, and then project Y onto it?

I dont have a book so any reference links would be helpful. I have watched numerous videos and read through paul's online notes but i cant seem to find anything about this problem. Exam tomorrow. :(

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# Homework Help: Orthogonal Projection of vector Y onto subspace S

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