14 -1 -3 27 1 -2 1 0 -1 2 -3 -5 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Give a proper explanation which equations u used for the match after the math is done. Thanks 

(b) Consider the following matrix
1 4 -1 -3
2 7
1 0
-1 2 -3 -5
1
-2
A =
3
i. Find an LU-factorization of A.
ii. Use these L and U to solve the system Ax
b, where x
and
%3D
13
1
7
b =
-2
(c) Find A-1. Use A-1 to solve the system Ax = b, where A, x and b are the same as
given in 2(b).
Transcribed Image Text:(b) Consider the following matrix 1 4 -1 -3 2 7 1 0 -1 2 -3 -5 1 -2 A = 3 i. Find an LU-factorization of A. ii. Use these L and U to solve the system Ax b, where x and %3D 13 1 7 b = -2 (c) Find A-1. Use A-1 to solve the system Ax = b, where A, x and b are the same as given in 2(b).
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