Solve the equation Ax b by using the LU factorization given for A. %3D 3 0 15 0 0 0 0 1 3 1 1 2 0 10 b% = 0 0-3 0 -3 -4 A = 0 2 -39 10 3 3 -20 2 -2 1 0 12 -5 -2 -12 41 - 5 4 -1 1 0 0 0 1 - 42 Let Ly b and Ux =y. Solve for x and y. y = X =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the equation Ax = b by using the LU factorization given for A.
3
1
0 0
1 2
3 0
15
0 0
0 2
0 10
b%3D
- 39
-3 -4
-9
10
- 3
1
A =
3 - 20
2 -2
1 0
0 0 -3
12
-5 -2 - 12
41
- 5
4 -1 1
0 0
1
- 42
Let Ly = b and Ux =y. Solve for x and y.
%3!
y =
X =
Transcribed Image Text:Solve the equation Ax = b by using the LU factorization given for A. 3 1 0 0 1 2 3 0 15 0 0 0 2 0 10 b%3D - 39 -3 -4 -9 10 - 3 1 A = 3 - 20 2 -2 1 0 0 0 -3 12 -5 -2 - 12 41 - 5 4 -1 1 0 0 1 - 42 Let Ly = b and Ux =y. Solve for x and y. %3! y = X =
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