Find the LU factorization of and use it to solve the system 2 6 -4 10 A= 2 -2 -4 10 6 -9 -5 -7 ܕ -2 -2 -9-5 16 -2 -3 ܐ ܚܕ ܩܙ ܘ 1 -4 -7-10-22 -7 16 1 -4 -7-10-22 -3 1 2 3 = -13 32 -14

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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Find the LU factorization of
and use it to solve the system
A =
-4 16
10
-2 -2
2 -2 2 -3
6 -9 -5 -7 X2
10-0
-4
-7 -10 -22
2
6
-9
-5 -7
-4
16 1 -4
10 -7 -10 -22
A = LU
4
=
-13
32
-14
Transcribed Image Text:Find the LU factorization of and use it to solve the system A = -4 16 10 -2 -2 2 -2 2 -3 6 -9 -5 -7 X2 10-0 -4 -7 -10 -22 2 6 -9 -5 -7 -4 16 1 -4 10 -7 -10 -22 A = LU 4 = -13 32 -14
9.
9.
=
A = LU =
1.
9.
9.
9.
9.
9.
8.
9.
Transcribed Image Text:9. 9. = A = LU = 1. 9. 9. 9. 9. 9. 8. 9.
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