2. a) Find the solution of the following linear system by LU decomposition:7-21X1(1214-7-3X217-71118X35b) Under what condition does an LU decomposition not exist?c) How many numerical operations have been conducted?

(a) We have A = 7 -2 1 14 -7 -3-7 11 18 = LU Let us do some row operations on A. Our identity…

Answered: 2. a) Find the solution of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. a) Find the solution of the following linear system by LU decomposition: 7 -2 1 (12 14 -7 -3 X2 17 -7 11 18 X3. b) Under what condition does an LU decomposition not exist? c) How many numerical operations have been conducted?