solq9 - Solutions to quiz # 9 (November 4) 1. We write the...

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Unformatted text preview: Solutions to quiz # 9 (November 4) 1. We write the system as Ax = b, where 13 A = 1 −1 , 11 x y x= and 5 b = 1. 0 Computing AT A = 11 3 −1 13 1 33 1 −1 = 1 3 11 11 and AT b = 1 3 1 −1 5 1 6 1= , 1 14 0 we get the system x 3 3 y 1 3 | 6 −→ 3 11 | 14 1|2 11 −→ 11 | 14 08 |2 1 −→ |8 0 from which x = 1 and y = 1 is the least squares solution. Answer: The least squares solution is x = 1 and y = 1. 2. We have CT C = Answer: C T C = 4 1 a·a b·a 4 a·b = 1 b·b 1 . 9 1 1 . 9 0|1 , 1|1 ...
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This note was uploaded on 12/26/2011 for the course MATH 214 taught by Professor Conger during the Fall '08 term at University of Michigan.

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