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
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
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