Question: Let q be a unit vector in R n and let W be the subspace spanned by q. Show that the orthogonal projection of a

Let q be a unit vector in Rⁿ and let W be the subspace spanned by q. Show that the orthogonal projection of a vector v onto W (as defined in Sections 1.2 and 5.2) is given by

proj_W (v) = (qq^T)v

and that the matrix of this projection is thus qq^T.

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