Find the LU factorization of A = and then use it to solve the system -4 -3 3 16 15 -11 8 -6 -8 , such that the matrix L has ones along the diagonal,
Find the LU factorization of A = and then use it to solve the system -4 -3 3 16 15 -11 8 -6 -8 , such that the matrix L has ones along the diagonal,
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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Transcribed Image Text:Find the LU factorization of A =
and then use it to solve the system
-4 -3 3
16 15 -11
A =
x1 =
x₂ =
x3 =
8 -6 -8
||
x1
x2
x3
=
-4
-3 3
16 15 -11
8 -6 -8
-31
127
44
"
such that the matrix L has ones along the diagonal,
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