Consider the following Gauss-Jordan reduction: Find E₁ = 0 -6 E2 = 1 -5 0 L 0 1 0 1 F 16 -6 0 , E3 = Write A as a product A = E, ¹E, ¹E, ¹E¹ of elementary matrices: E₁A 16:1 E₂E₁A . E4 = 1 → 1 1-6 E3E₂E₁ A 10 E₁E₂E₂E₁ A I

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 14E
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Consider the following Gauss-Jordan reduction:
Find
E₁ =
0
-6
S
1
-5 0
E2 =
L
0
-6
1
0
1
, E3 =
0
1
Write A as a product A = E, ¹E, ¹E, ¹E¹ of elementary matrices:
E₁A
16:1
E₂E₁A
. E4=
16552
→
1
16
E3E₂E₁A
10
E₁E₂E₂E₁ A
I
Transcribed Image Text:Consider the following Gauss-Jordan reduction: Find E₁ = 0 -6 S 1 -5 0 E2 = L 0 -6 1 0 1 , E3 = 0 1 Write A as a product A = E, ¹E, ¹E, ¹E¹ of elementary matrices: E₁A 16:1 E₂E₁A . E4= 16552 → 1 16 E3E₂E₁A 10 E₁E₂E₂E₁ A I
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