HW9 - b ax y + = using the method of least squares. x i y i...

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ME 391: FALL 2007 HW 9 (Due Date: Nov. 28, 2007) 1. Find the matrix P that diagonalizes - - = 8 3 5 2 3 2 2 2 1 A and the diagonal matrix D such that AP P D 1 - = 2. Consider the system of equations in x and y : 11 3 2 = + y x 7 4 = + y x Which of the following methods can be used to solve the above system of equations - LU factorization or Cholesky method(decomposition)? Use the method you have selected to solve the system. 3. For the (x i ,y i ) data given in the table below, determine the best fit straight line of the form
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Unformatted text preview: b ax y + = using the method of least squares. x i y i 1.1 1 3.0 2 5.1 3 6.7 4. Show that the given set of functions is orthogonal on the indicated interval. Find the norm of each function in the set. x p n x p n sin , cos , 1 , n =1,2,3,, m =1,2,3,.; [-p,p ] 5. Practice Problems (do not submit for grading) Exercises 8.12: Problems 3, 4, 5, 7, 13, 16, 18 Exercises 8.15: Problems 1,2,6,8 Exercises 12.1: 2, 3, 6, 7, 10...
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