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Unformatted text preview: W . y = 4 3 31 , u 1 = 1 1 1 , u 2 = 1 3 12 , u 3 = 1 1 1 BEST APPROXIMATION FACT. The vector ˆ y is the closest vector or point in W to y , that is,  yˆ y  <  yv  for all v ’s in W distinct from ˆ y . THE ORTHONORMAL CASE. If the columns of the matrix U are an orthonormal basis for the subspace W of R n , then proj W y = UU T y . HOMEWORK: SECTION 6.3...
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This note was uploaded on 04/15/2008 for the course M 340L taught by Professor Pavlovic during the Spring '08 term at University of Texas.
 Spring '08
 PAVLOVIC
 Linear Algebra, Algebra

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