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Unformatted text preview: MATH 235 LeastSquares & Best Approximation Assignment 6 Hand in questions 1,2,6,7,8 by 9:30 am on Wednesday November 8, 2006. 1. Find the leastsquares approximation to a solution of A x = b by constructing the normal equations for x and then solving for x for the following cases: (a) A = 2 1 2 0 2 3 , b =  5 8 1 (b) B = 2 i 2 2 3 i , b = 3 i 2 i 2 i Note that the normal equations over C for A x = b are A * A x = A * b . 2. You are given the data points ( 2 , 2) , ( 1 , 1) , (1 , 0) , (2 , 1). (a) Find the best linear fit to this data having the form y = + 1 x . (b) Find the best quadratic fit to this data having the form y = + 1 x + 2 x 2 . 3. For the inconsistent linear system Ax = b where A = 1 1 1 1 1 1 2 1 3 , b = 2 4 6 8 , find a leastsquares solution and the corresponding leastsquares error for the solution....
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This note was uploaded on 01/05/2012 for the course MATH 235 taught by Professor Celmin during the Fall '08 term at Waterloo.
 Fall '08
 CELMIN
 Math, Equations, Approximation

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