Solve the equation Ax = b by using the LU factorization given for A. 1 0 0 1 2 2 0 13 0 0 0 2 0 12 -2 - 2 A = 2 - 4 12 -2 1 - 14 - 24 2 -2 1 0 0 0 - 2 0 - 2 - 4 0 - 6 49 - 4 4 -11 0 0 1 3 Let Ly = b and Ux = y. Solve for x and y. y = 2.

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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2.5

Solve the equation Ax = b by using the LU factorization given for A.
1
0 0
1 2
2 0
13
0 0
0 2
0 12
-2 - 2
A =
2
- 4
12
-2
1
- 14
- 24
2 -2
1 0
0 0 - 2 0
- 2
- 4
0 - 6
49
- 4
4 -11
0 0
1
3
Let Ly = b and Ux = y. Solve for x and y.
y =
2.
Transcribed Image Text:Solve the equation Ax = b by using the LU factorization given for A. 1 0 0 1 2 2 0 13 0 0 0 2 0 12 -2 - 2 A = 2 - 4 12 -2 1 - 14 - 24 2 -2 1 0 0 0 - 2 0 - 2 - 4 0 - 6 49 - 4 4 -11 0 0 1 3 Let Ly = b and Ux = y. Solve for x and y. y = 2.
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