Find E₁ = Consider the following Gauss-Jordan reduction: 1 0 0 0 3 0 1 18 -9 0 1 0 0 1 0 1/ 2/ E₂ = 1 0 0 1 www-w 18 -9 0 →>>> 18 -9 0 1 0 0 0 0 1 ப்பயப பயார் E₁ A 1 0 3 0 1 18 -9 0 1 0 0 1 0 0 A 0 0 1 0 -- E3 = -2 1 0 E4 = 0 0 0 1 1 Write A as a product A = E₁¹E₂¹ E3¹E¹ of elementary matrices: 0 0 டயார் E₂E₁A 1 0 1 -2 1 0 0 0 1 E3 E₂ E₁ A 0 0 0 0 0 1 →>>> E 1 0 0 1 0 0 Cumu 0 0 = I 1 E4 E 3 E₂ E₁ A
Find E₁ = Consider the following Gauss-Jordan reduction: 1 0 0 0 3 0 1 18 -9 0 1 0 0 1 0 1/ 2/ E₂ = 1 0 0 1 www-w 18 -9 0 →>>> 18 -9 0 1 0 0 0 0 1 ப்பயப பயார் E₁ A 1 0 3 0 1 18 -9 0 1 0 0 1 0 0 A 0 0 1 0 -- E3 = -2 1 0 E4 = 0 0 0 1 1 Write A as a product A = E₁¹E₂¹ E3¹E¹ of elementary matrices: 0 0 டயார் E₂E₁A 1 0 1 -2 1 0 0 0 1 E3 E₂ E₁ A 0 0 0 0 0 1 →>>> E 1 0 0 1 0 0 Cumu 0 0 = I 1 E4 E 3 E₂ E₁ A
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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Question
Transcribed Image Text:Find
E₁
Consider the following Gauss-Jordan reduction:
3
18
1
0 1
0
-9
0
1
0
1/
2/ E₂ =
1
3
18
ப்பயப
1
0
0
-9 0
0 0
1 0 0
18 -9
-----
0
E₂ E₁A
A
1
0 E3
1
Write A as a product A = E7¹ E¿¹E3¹E7¹ of elementary matrices:
18 -9
=
0
E₁A
0
1
0
1
E4
=
-2 1 0
00
E 3 E₂ E ₁ A
0
1
1
0
0
1
E4 E 3 E 2 E ₁ A
= I
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