Repeat Exercise 4.2.17 using the numerically stable algorithm (4.28) and check that you get the same result. Which of the two algorithms was easier for you to implement?

Data From Exercise 4.2.17

Use the modified Gram-Schmidt process (4.26–27) to produce orthonormal bases for the  spaces spanned by the following vectors:

(a)

(b)

(c)

(d)

(e)

uj , (j) Wi ||w (j) (j+1) k (j) = Wk (w), u ) Uj, j = 1,..., n, k=j+1,..., n. (4.28)