b) Use Algorithm 2.24 to solve the system of linear equations (0-0 16 110 X2 = 3 1 1 1 X3 10 6
b) Use Algorithm 2.24 to solve the system of linear equations (0-0 16 110 X2 = 3 1 1 1 X3 10 6
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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Using the algorithm pictured, need help with the question. Thank you :)
Transcribed Image Text:b) Use Algorithm 2.24 to solve the system of linear equations
(190-0
=
3
6
Transcribed Image Text:1
2
3
Algorithm 2.24: forward substitution
Input: lower triangular matrix L € Rdxd, vector b € Rd
Output: solution z E Rd of the linear system Lx = b
for i
1 to d do
s ←bi;
for j1 to i - 1 do
s ←s - Lij£j;
4
5
6
7 end
8 return x;
end
Iį ← s/Lii;
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