The LU factorization of A = = A = || Ly = 1 -2 0 Ux= 0 1 0 -2 1 and then solve 3 -1 x= 5 -2 Find the solution x = 4 0 -3 ܗ To solve the system -2 -3 -1] 21 4 -21 0 6 -39 using the LU factorization, you would first solve -3 3 -1 is 6 -2 0 -3 -3 0 0 ܝܠܕ ܚ ܚܕ LO 5

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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The LU factorization of A
1 0 0 -2
-B
-2 1
A
=
Ly
Ux =
=
-3
-3
0 -2 1 0 0
3 -1 x=
and then solve
To solve the system
-2 -3 -1
21
-21
4
0 6 5
-39
using the LU factorization, you would first solve
Find the solution x =
-2 -3
4
3
0
6 5
8
-
-17
-3
(0
Transcribed Image Text:The LU factorization of A 1 0 0 -2 -B -2 1 A = Ly Ux = = -3 -3 0 -2 1 0 0 3 -1 x= and then solve To solve the system -2 -3 -1 21 -21 4 0 6 5 -39 using the LU factorization, you would first solve Find the solution x = -2 -3 4 3 0 6 5 8 - -17 -3 (0
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