Find Consider the following Gauss-Jordan reduction: -80 **⠀⠀ -7 0 -7 0 - 0 1 0 E₁ A E₁ = -8 0 1 -8 0 -24 -7 3 1 0 -24 -7 3 → 0 0 E₂E₁ A E₂ = 0 0 10 0 E₁ E₂ E₁ A MBEMBEMBEMBE E3 = Write A as a product A = E₁¹E₂¹E¹E¹ of elementary matrices: 10 0 1 0=1 001. E4 = EEE₂E 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
Find
Consider the following Gauss-Jordan reduction:
-8 0 1
-7
-24
0
EL=
3 →
0
-8
0
-24 -7 3
1
0
-80
-7
0
E₁ A
0 -7 0
1 0
E₂E₁ A
-
0
10
THHH
Write A as a product A = E; E- Ej+ Eat of elementary matrices:
0
0
EE₂E₁A
F4 =
10
0 1 0=1
001.
EEEEA
Transcribed Image Text:Find Consider the following Gauss-Jordan reduction: -8 0 1 -7 -24 0 EL= 3 → 0 -8 0 -24 -7 3 1 0 -80 -7 0 E₁ A 0 -7 0 1 0 E₂E₁ A - 0 10 THHH Write A as a product A = E; E- Ej+ Eat of elementary matrices: 0 0 EE₂E₁A F4 = 10 0 1 0=1 001. EEEEA
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