Find the LU factorization of A = A = and use FORWARD SUBSTITUTION AND BACKWARD SUBSTITUTION to solve the system -3 3 -12 -11 6 x1 = x2 = -2 -2 3 -2 x3 = X1 x2 -3 3 x3 -2 -2 3 -2 -12 -11 6 9 -14 53

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 LU factorization of A =
A =
-12 -11
X1 =
x2 =
and use FORWARD SUBSTITUTION AND BACKWARD SUBSTITUTION to solve the system
-3
-2 -2
3
3 -2
x3 =
6
X1
x2
-3
x3
ය
3
-2 -2
3
-2
-12 -11 6
9
-14
53
Transcribed Image Text:Find the LU factorization of A = A = -12 -11 X1 = x2 = and use FORWARD SUBSTITUTION AND BACKWARD SUBSTITUTION to solve the system -3 -2 -2 3 3 -2 x3 = 6 X1 x2 -3 x3 ය 3 -2 -2 3 -2 -12 -11 6 9 -14 53
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