Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction. 1 00 10 3-4 1 0 0-1 A= 2-5 - 3 2 6 -3 -6 -2 2 -1 2-5-3 0-3-1 b= - 1 -6 30
Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction. 1 00 10 3-4 1 0 0-1 A= 2-5 - 3 2 6 -3 -6 -2 2 -1 2-5-3 0-3-1 b= - 1 -6 30
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:Solve the equation Ax=b by using the LU factorization given for A. Also solve Ax=b by ordinary row reduction.
A =
y =
2 -5 -3
-2 2 2
6 -3 -6
Let Ly = b and Ux=y. Solve for x and y.
X =
- 1
-5
51
31
2
1
00
-1 10
3 - 4 1
12
- 30
2-5 - 3
-3-1
0 - 1
0
0
b=
aux
- 1
-6
30
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