Given the LU factorizations you calculated in Exercise 1.3.22. solve the associated linear systems A x =

Question:

Given the LU factorizations you calculated in Exercise 1.3.22. solve the associated linear systems A x = b where b is the column vector with all entries equal to 1.
Exercise 1.3.22
Find the LU factorization of the following matrices:
(a)
Given the LU factorizations you calculated in Exercise 1.3.22. solve

(b)

Given the LU factorizations you calculated in Exercise 1.3.22. solve

(c)

Given the LU factorizations you calculated in Exercise 1.3.22. solve

(d)

Given the LU factorizations you calculated in Exercise 1.3.22. solve

(e)

Given the LU factorizations you calculated in Exercise 1.3.22. solve

(f)

Given the LU factorizations you calculated in Exercise 1.3.22. solve

(g)

Given the LU factorizations you calculated in Exercise 1.3.22. solve

(e)

Given the LU factorizations you calculated in Exercise 1.3.22. solve

Can you spot a pattern? Test your conjecture with the 5 × 5 Vandermonde matrix.

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Related Book For  book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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