Example: Solve 2 -4 2 -6 4 -1 5 -5 3 -8 -5 -4 7 8 1 X =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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LU Factorization Algorithm
1. Reduce A to an echelon form U by a sequence of row replacement operations, if possible.
2. Place entries in L such that the same sequence of row operations reduces L to I.
Example: Solve
2 4 -1
-4 -5 3
2 -5 -4
-6 0 7
5
-8
-2
1
0--0
X =
1
1 8
Transcribed Image Text:LU Factorization Algorithm 1. Reduce A to an echelon form U by a sequence of row replacement operations, if possible. 2. Place entries in L such that the same sequence of row operations reduces L to I. Example: Solve 2 4 -1 -4 -5 3 2 -5 -4 -6 0 7 5 -8 -2 1 0--0 X = 1 1 8
A.
If A = LU =
10
210
0 5 1
22
013
0 0 1
and Ax
3
find x without finding
Transcribed Image Text:A. If A = LU = 10 210 0 5 1 22 013 0 0 1 and Ax 3 find x without finding
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