Let q be a unit vector in R n and let W be the subspace spanned by
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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
projW (v) = (qqT)v
and that the matrix of this projection is thus qqT.
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