Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax=b by ordinary row reduction. A = y = 4-5-2 3 12-5-2 X = -4 1 - 3 -5 5 1 00 10 Let Ly = b and Ux=y. Solve for x and y. = - 1 4-5-2 0 2 O O -1 3 -5 1 0 0 - 1 b= - 3 -2 21

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. Also solve Ax = b by ordinary row reduction.
A =
Let Ly=
y =
X =
4 -5 -2
1
3
12-5-2
-4
1
= - 1
= b and Ux=y. Solve for x and y.
- 3
- 5
5
00
10
3 -5 1
4 - 5 -2
0 -2
0
0
-1, b =
- 1
- 3
- 2
21
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 = Let Ly= y = X = 4 -5 -2 1 3 12-5-2 -4 1 = - 1 = b and Ux=y. Solve for x and y. - 3 - 5 5 00 10 3 -5 1 4 - 5 -2 0 -2 0 0 -1, b = - 1 - 3 - 2 21
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