Consider the following Gauss-Jordan reduction: 1 3 3 3 1 1 18 -1 -18 1 1 1 1 0 0 E,A EE,A EEE,A E4E,EE,A Find E = E2 = Ez = E4 = Write A as a product A = E,'E,'E,'E,' of elementary matrices: %3D || 1 3 18 -1 %3D 1 000.

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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Consider the following Gauss-Jordan reduction:
3
1
1
1
1
18
-1
-6
-18
1
1
1
1
0 = 1
1
1
1
1
0 0
1
E,A
EE,A
E3EZE,A
E,E,E,E,A
Find
E =
E, =
E, =
E4 =
Write A as a product A = E,'E,'E, E,' of elementary matrices:
1
3
18
-1
1
Transcribed Image Text:Consider the following Gauss-Jordan reduction: 3 1 1 1 1 18 -1 -6 -18 1 1 1 1 0 = 1 1 1 1 1 0 0 1 E,A EE,A E3EZE,A E,E,E,E,A Find E = E, = E, = E4 = Write A as a product A = E,'E,'E, E,' of elementary matrices: 1 3 18 -1 1
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