[1 1 1 )If A =2 1 -1 and c =3 , use the LU factorization of A to solve [1 0 1 [1 0 0] | 1 1 1 Ax = c. Note that the LU factorization is L=| 2 1 0 and U = 0 1 -3 1 1 1 0 0 3 yı (Hint: Solve Ly = c first, where y= y2 .)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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[1 1
)If A=2 1 -1, and c =| 3
use the LU factorization of A to solve
[1 0 1
6.
[1 0 0]
1
1
1
Ax = c. Note that the LU factorization isL=|2 1 0 and U = 0 -1
-3
%3D
|
1
0 0 3y
1
(Hint: Solve Ly=c first, where y = y2 .)
Transcribed Image Text:[1 1 )If A=2 1 -1, and c =| 3 use the LU factorization of A to solve [1 0 1 6. [1 0 0] 1 1 1 Ax = c. Note that the LU factorization isL=|2 1 0 and U = 0 -1 -3 %3D | 1 0 0 3y 1 (Hint: Solve Ly=c first, where y = y2 .)
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