Given the linear system Ax = b 3 -1 [x1 X2 b2 ,and A LU decomposition is A = b3 1 0001[1 3 -1 21 -1 10 o0 1.5 2100 -2-1.51 -1 -2 0.25 10.5 4 w 13 1o o 0 1] 1.5 6.5 7.5 X3 1 -2 -7.5 -3 -3.375][x4 The inverse for the 4h column of A is equal to 100

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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-2 -7.5 -3 -3.37s| .
Given the linear system Ax = b
3
-1
[x1
X2
X3
-2 -7.5 -3 -3.375][x4
00 0 1[1 3 -1 21
-1 1 0 00 1
1.5 2 1 00 0
-2-1.51 1o o o 1
-2
1.5 6.5 7.5
-1
0.25
10.5
b2
and A LU decomposition is A% =
b3
4 w
1 3
The inverse for the 4h column of A is equal to
Transcribed Image Text:-2 -7.5 -3 -3.37s| . Given the linear system Ax = b 3 -1 [x1 X2 X3 -2 -7.5 -3 -3.375][x4 00 0 1[1 3 -1 21 -1 1 0 00 1 1.5 2 1 00 0 -2-1.51 1o o o 1 -2 1.5 6.5 7.5 -1 0.25 10.5 b2 and A LU decomposition is A% = b3 4 w 1 3 The inverse for the 4h column of A is equal to
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