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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 50EQ
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2. a) Find the solution of the following linear system by LU decomposition:
7
-2
1
X1
(12
14
-7
-3
X2
17
-7
11
18
X3
5
b) Under what condition does an LU decomposition not exist?
c) How many numerical operations have been conducted?
Transcribed Image Text:2. a) Find the solution of the following linear system by LU decomposition: 7 -2 1 X1 (12 14 -7 -3 X2 17 -7 11 18 X3 5 b) Under what condition does an LU decomposition not exist? c) How many numerical operations have been conducted?
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