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Unformatted text preview: W . (e) For all vectors y from part (c) ﬁnd the distance from y to W . 3. If columns of matrices U ∈ C m × n and V ∈ C n × m form orthonormal sets, then prove that columns of the matrix UV also form an orthonormal set. 1 4. If W = Span { u 1 , u 2 } , where u 1 = 11 and u 2 = 2 1 2 , then ﬁnd all vectors y ∈ R 3 such that y · u 1 = 6, y · u 2 = 9, and dist ( y , W ) = √ 6. 2...
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 Fall '08
 CELMIN
 Linear Algebra, Algebra, Vectors, orthogonal basis, orthogonal projection ProjW, form orthonormal sets

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