Question: Write MATLAB programs to solve the problem given below. What is the exact solution x to the linear least squares problem 1 1 00

Write MATLAB programs to solve the problem given below. What is the exact solution x to the linear least squares problem 1 1 00 0 0 00 B-8 (14) as a function of e? Solve this least squares problem using each of the following methods. For each method, experiment with the value of the parameter & to see how small you can take it and still obtain an accurate solution. Pay particular attention to values around mach and mach (a) Normal equations (b) Augmented system (c) Householder QR (d) Givens QR (e) Classical Gram-Schmidt orthogonalization (f) Modified Graam-Schmidt orthogonalization (g) Classical Gram-Schmidt with iterative refinement (i.e., CGS applied twice) (h) Singular value decomposition

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