3x + 2y + 7z = 4 2x + 3y + z = 5 3x + 4y + z = 7

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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Find the lower triangular matrix of the coefficient matrix
3x + 2y + 7z = 4
2x + 3y + z = 5
3x + 4y + z = 7
1
0 01
L = 2/3
1 0
1
6/5 1
O
O
O
L=
1
-2/3
1
1
L = 3/2
1
1
L = 3/2
1
0 0
1 0
6/5 1
0 0
1 0
5/6 1
0 0
1 0
6/5 1
✩
Transcribed Image Text:Find the lower triangular matrix of the coefficient matrix 3x + 2y + 7z = 4 2x + 3y + z = 5 3x + 4y + z = 7 1 0 01 L = 2/3 1 0 1 6/5 1 O O O L= 1 -2/3 1 1 L = 3/2 1 1 L = 3/2 1 0 0 1 0 6/5 1 0 0 1 0 5/6 1 0 0 1 0 6/5 1 ✩
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