EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 10, Problem 2P

(a) Use naive Gauss elimination to decompose the following system according to the description in Sec. 10.1.2.

10 x 1 + 2 x 2 x 3 = 27 3 x 1 6 x 2 + 2 x 3 = 61.5 x 1 + x 2 + 5 x 3 = 21.5

Then, multiply the resulting [ L ] and [ U ] matrices to determine that [ A ] is produced. (b) Use LU decomposition to solve the system. Show all the steps in the computation. (c) Also solve the system for an alternative right-hand-side vector: { B } T = [ 12 18 6 ] .

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EBK NUMERICAL METHODS FOR ENGINEERS

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