PS4 - = 1 Problem #2. Given the following 3 points in the...

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Mathematic 104, Fall 2010: Assignment #4 Due: Wednesday, November 3rd Instructions: Please ensure that your answers are legible. Also make sure that all steps are shown – even for problems consisting of a numerical answer. Bonus problems cover advanced material and, while good practice, are not required and will not be graded. Problem #1. Consider the following following matrix: A = 3 1 - 4 0 0 - 1 a) Compute (by hand) a reduced QR factorization of A . b) Solve in the least squares sense the following two problems and determine which solution is closer to being a true solution: Ax = 1 0 0 and Ax
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Unformatted text preview: = 1 Problem #2. Given the following 3 points in the plane R 2 determine the equation for the line that best ts these points in the sense of least squares. (We didnt discuss this in class, please read Example 11.2 in Trefethen-Bau). p 1 = (2 , 1) , p 2 = (0 ,-1) and p 3 = (5 , 2) Problem #3. Excercise 6.1 of Lecture 6 of Trefethen-Bau. Problem #4. Excercise 7.2 of Lecture 7 of Trefethen-Bau. Problem #5. Excercise 3.3 of Lecture 3 of Trefethen-Bau. Bonus Problem. Excercise 10.4 of Lecture 10 of Trefethen-Bau....
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