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Unformatted text preview: P . (b) Find the standard matrix of the orthogonal projection onto P . (c) Find the point on P which is closest to the point (1 , , 0), 4. Let x 1 = 1 and x 2 = 1 1 1 and let P be the plane thru the origin spanned by x 1 and x 2 . (a) Find an orthonormal basis of P . (b) Find the standard matrix of the orthogonal projection onto P . (c) Find the point on P which is closest to the point (0 , , 1), 5. Describe the column space and null space of each of the matrices you found in problems 14. (You do not need to do any row operations to answer this question)...
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 Fall '09
 Math, Linear Algebra, standard matrix, orthogonal projection

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