Find E₁ = 1 0 0 [⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 1 0 0 →>> 1 0 0 → 18 -6 O 0 0 E₂E₁ A [18 -6 6 0 0 1 A 18 -6 1 0 0 0 0 1 I = E₂ = [18 -6 0 0 0 E₁ A Write A as a product A = · E₁¹E₂¹Е¹Е¹ of elementary matrices: , E3 = 1 0 -3 1 0 0 0 1 E3 E₂ E₁ A E4= 0 0 1 0 0 01 EEE₂E₁ A = I

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.3: The Inverse Of A Matrix
Problem 68E
icon
Related questions
Question
Find
E₁ =
[18
1
0
[18 -6
1
0
0
-6
0
0
0
1
A
6
0
1
=
[18 -6 0
1 0
-----
1
|, E₂ =
1 0 0
0 0 1
E₁ A
18
0
-1
Write A as a product A = E₁¹E₂¹È¸¯¹Ēù of elementary matrices:
, E3 =
E₂E₁ A
1 0
0
1 0
E3 E₂ E₁ A
E4=
=
1
0
1
0
0
00
1
E₁ E3 E₂ E₁ A
= I
Transcribed Image Text:Find E₁ = [18 1 0 [18 -6 1 0 0 -6 0 0 0 1 A 6 0 1 = [18 -6 0 1 0 ----- 1 |, E₂ = 1 0 0 0 0 1 E₁ A 18 0 -1 Write A as a product A = E₁¹E₂¹È¸¯¹Ēù of elementary matrices: , E3 = E₂E₁ A 1 0 0 1 0 E3 E₂ E₁ A E4= = 1 0 1 0 0 00 1 E₁ E3 E₂ E₁ A = I
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning