Question: 5. Exercise 18.1. Consider the example 1 1 2 A: 1 1.0001 , 0: 0.0001 1 1.0001 4.0001 (a) What are the matrices 14+ and

5. Exercise 18.1. Consider the example 1 1 2 A: 1 1.0001 , 0: 0.0001 1 1.0001 4.0001 (a) What are the matrices 14+ and P for this example? Give exact answers. (b) Find the exact solutions a: and y : As: to the least squares problem As: a b. (c) What are MA), 19, and n from the textbook by Ti'efethen and Ban III? From here on, numerical answers are acceptable. [(1) What are the four condition numbers of Theorem 18.1 from the textbook by 'Ii'efethen and Bau III? (e) Give examples of perturbations 6E) and 6A that approximately attain these four condition numbers

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