Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction. y A = - 4 || 4-6-2 4 1 12 -8 -2 b= X = Let Ly = b and Ux = y. Solve for x and y. - 10 6 - 4 1 0 0 4 -6 -2 - 1 10 0 -2 -1 3 - 5 1 0 0 -1

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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Solve the equation Ax = b by using the LU factorization given
for A. Also solve Ax = b by ordinary row reduction.
y
A = - 4
II
4-6-2
4
1
12 -8 -2
b=
X =
Let Ly = b and Ux=y. Solve for x and y.
- 10
6
- 4
1
0 0
4 -6 -2
- 1
10
0 -2 -1
3 -5 1 0 0 -1
Transcribed Image Text:Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction. y A = - 4 II 4-6-2 4 1 12 -8 -2 b= X = Let Ly = b and Ux=y. Solve for x and y. - 10 6 - 4 1 0 0 4 -6 -2 - 1 10 0 -2 -1 3 -5 1 0 0 -1
Row reduce the augmented matrix [A b] and use it to find x.
The reduced echelon form of [A b] is, yielding x =
Transcribed Image Text:Row reduce the augmented matrix [A b] and use it to find x. The reduced echelon form of [A b] is, yielding x =
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