nov1809 - Math 1502 D, November 18th 2009 1 School of...

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Unformatted text preview: Math 1502 D, November 18th 2009 1 School of Mathematics Math 1502 Georgia Tech Calculus II, Section D Quiz # 11 November 18th 2009 15 minutes First Name : Last Name : −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 1 −1 1. Let v = 0 . 0 (a) Give the matrix P of the orthogonal projection onto the space spanned by v. (Give results here and use the back pages for your calculations) P= (b) Give the matrix P⊥ of the orthogonal projection onto the subspace orthogonal to v. (Give results here and use the back pages for your calculations) P⊥ = Math 1502 D, November 18th 2009 2 131 2. Let A = 1 1 0 . 021 (a) Give a basis for Im(A) (Give results here and use the back pages for your calculations) (b) Give an orthonormal basis for Im(A) (Hint : use the Gram-Schmidt procedure) (Give results here and use the back pages for your calculations) (c) Give the QR factorization for A Q= R= Math 1502 D, November 18th 2009 3 Use this page for your calculations Math 1502 D, November 18th 2009 4 Use this page for your calculations ...
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This note was uploaded on 11/30/2009 for the course MATH 1502 taught by Professor Mcclain during the Fall '07 term at Georgia Institute of Technology.

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