Determine the LU decomposition (without pivoting) of the following: 2 2 1 - 2 1 4 91 00 8 O 1 0 0 L= - 1 1 0 -4 1/13 1 1 L= 1 1 0 0 L= 1 1 0 4 - 1/3 1 L= 1 -4 -1/3 1 1 0 0 1 4 1/3 1 0 22 1 U= 0 3 5 0 0 14/13 22 1 U= 0 3 0 0 14/3 22 1 U= 0 3 5/3 0 0 14/3 22 U= 0 3 5 In 0 0 -14/3
Determine the LU decomposition (without pivoting) of the following: 2 2 1 - 2 1 4 91 00 8 O 1 0 0 L= - 1 1 0 -4 1/13 1 1 L= 1 1 0 0 L= 1 1 0 4 - 1/3 1 L= 1 -4 -1/3 1 1 0 0 1 4 1/3 1 0 22 1 U= 0 3 5 0 0 14/13 22 1 U= 0 3 0 0 14/3 22 1 U= 0 3 5/3 0 0 14/3 22 U= 0 3 5 In 0 0 -14/3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Determine the LU decomposition (without pivoting) of the following:
2 21
- 2 1 4
91
00
8
O
1
0 0
L= - 1 1 0
1
L= 1
L=
-4 1/13 1
L=
1
-4 -1/3 1
1 0 0
1 1 0
4 - 1/3 1
1
0 0
1
4 1/3 1
0
22 1
U= 0 3 5
0 0 14/13
22
U= 0 3
22 1
U= 0 3 5/3
0 0 14/3
0 0 14/3
22
U= 0 3
1
In
5
0 0 -14/3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7c85916-6158-43cb-b074-7bd423901b8b%2Faa87eb55-4ac1-4c80-9408-7317bc90172d%2F5a3f5qc_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the LU decomposition (without pivoting) of the following:
2 21
- 2 1 4
91
00
8
O
1
0 0
L= - 1 1 0
1
L= 1
L=
-4 1/13 1
L=
1
-4 -1/3 1
1 0 0
1 1 0
4 - 1/3 1
1
0 0
1
4 1/3 1
0
22 1
U= 0 3 5
0 0 14/13
22
U= 0 3
22 1
U= 0 3 5/3
0 0 14/3
0 0 14/3
22
U= 0 3
1
In
5
0 0 -14/3
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