Repeat Exercise 4.2.17 using the numerically stable algorithm (4.28) and check that you get the same result.

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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)

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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Repeat Exercise 4.2.17 using the numerically stable algorithm (4.28) and check that you get the same result.

Question:

uj , (j) Wi ||w (j) (j+1) k (j) = Wk (w), u₁ ) Uj, j = 1,..., n, k=j+1,..., n. (4.28)

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Applied Linear Algebra

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