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

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
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