Gauss-Jordan reduction: Го 1 16 -6 ГО 4 Г1 0 —67 0 4 4 [1 -6] 1 0 -6 → |0 1 → |a 1 0 0 1 0 0 1 1 A E,A E,E, A E,E,E¸A E
Gauss-Jordan reduction: Го 1 16 -6 ГО 4 Г1 0 —67 0 4 4 [1 -6] 1 0 -6 → |0 1 → |a 1 0 0 1 0 0 1 1 A E,A E,E, A E,E,E¸A E
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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Transcribed Image Text:Consider the following Gauss-Jordan reduction:
ГО
4
ГО
4
[1
-67
[1
-67
[1 0 07
16
1 0
-6
0 4
1
0 1 0
= I
1
1
1
0 0
1
0 1
A
E, A
E,E A
E,E,E,A
EĄ E3E,E, A
Find
E1
E2 =
E3 =
E4
-1
3.
-1
Write A as a product A = E,'E, E,'E, of elementary matrices:
ГО
4
1 16
-6
0 0
1
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