Final_Fall-2008-09_Section-9

# 01 10 exercise 6 16 points 3 points 13 points 0 1

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Unformatted text preview: ercise 6: 16 points (3 points + 13 points) ∞. 0, 1 and 1 with corresponding Find Consider the matrix a) Justify that the matrix A has a QR-decomposition. b) Find the matrices Q and R of this decomposition. 3 . 10 12 12 0 0. 3 Exercise 7: 24 points (4 points for each question) a) Find two distinct non-zero vectors u and v in R2, such that , 0 for every weighted inner product on R2. b) Find two distinct non-zero vectors u and v in R2, such that , 0 for any inner product on R2. is an orthonormal basis of a real inner product space V. Show that for e...
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## This note was uploaded on 02/07/2014 for the course MATH 218 taught by Professor Rananassif during the Summer '07 term at American University of Beirut.

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