Question: Exercise 3.4.28 Use several different methods to orthogonalize the columns of the m x m Hilbert matrix (Vhilb (m)). Try m - 3, ..., 10,

Exercise 3.4.28 Use several different methods to orthogonalize the columns of

the m x m Hilbert matrix (Vhilb (m)). Try m - 3,

Exercise 3.4.28 Use several different methods to orthogonalize the columns of the m x m Hilbert matrix (Vhilb (m)). Try m - 3, ..., 10, for example. In each case check the effectiveness of the procedure by computing ilm-QT 2 (norm (eye (m) -Q' *Q)). Check the residual |IV - QR|2 as well. This exercise (3.4.34), and (3.4.25). They are all quite similar. (a) Classical Gram-Schmidt (3.4.19)

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