A = 0 1 0 1 0 0 6-86-6 P= 0 0 1 L = 100 1 -1 2 2 0 1 -1 3 2 (a) By showing your working, confirm that PA = LU. 5 -0 5 11 (b) Using the decomposition, find a such that Az = 1 0 U= 20 1 03/1/9 003

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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Question
A =
0 1 0
P= 0 0 1
L = -1/2
6-6-6-6
1 0 0
1 -1 2
2
0 1
-1 3 2
(a) By showing your working, confirm that PA = LU.
5
-0
5
11
(b) Using the decomposition, find a such that Az =
1 0 0
1 0
U=
20
1
03/1/0
003
Transcribed Image Text:A = 0 1 0 P= 0 0 1 L = -1/2 6-6-6-6 1 0 0 1 -1 2 2 0 1 -1 3 2 (a) By showing your working, confirm that PA = LU. 5 -0 5 11 (b) Using the decomposition, find a such that Az = 1 0 0 1 0 U= 20 1 03/1/0 003
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