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Consider the following Gauss-Jordan reduction: Find E₁= 07 4 8 564 0 0 1 0 0 1 0 0 0 1 0 = I E -⠀⠀⠀⠀⠀ 00 1 0 0 1 0 0 1 E₂E₁A го 1 4 8 56 = 0 0 го 1 71 го 1 77 Г0 1 77 , E₂ = = A 0 0 1 E₁A , E3 = Write A as a product A = E, ¹E, ¹E, ¹E¹ of elementary matrices: EA E₂E₂E₁A 001 E₁E₂E₂E₁A

Consider the following Gauss-Jordan reduction: Find E₁= 07 4 8 564 0 0 1 0 0 1 0 0 0 1 0 = I E -⠀⠀⠀⠀⠀ 00 1 0 0 1 0 0 1 E₂E₁A го 1 4 8 56 = 0 0 го 1 71 го 1 77 Г0 1 77 , E₂ = = A 0 0 1 E₁A , E3 = Write A as a product A = E, ¹E, ¹E, ¹E¹ of elementary matrices: EA E₂E₂E₁A 001 E₁E₂E₂E₁A

Advanced Engineering Mathematics
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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Subject; algebra 

 

Consider the following Gauss-Jordan reduction: го 1 71 8 564 4 00 1 Find E₁= = ΤΟ 1 8 56 = , E₂ = 4 0 0 A Г0 1 77 0 0 1 0 0 E₁A , E3 = Г0 1 77 1 0 0 1 0 6 Write A as a product A = E, ¹E, ¹E, ¹E¹ of elementary matrices: 0 0 E₂E₁A 1 . ΕΛ 0 0 0 EE₂E₁A 1 07 0 1 0 0 0 1 E₁E₂E₂E₁A = I
Transcribed Image Text:Consider the following Gauss-Jordan reduction: го 1 71 8 564 4 00 1 Find E₁= = ΤΟ 1 8 56 = , E₂ = 4 0 0 A Г0 1 77 0 0 1 0 0 E₁A , E3 = Г0 1 77 1 0 0 1 0 6 Write A as a product A = E, ¹E, ¹E, ¹E¹ of elementary matrices: 0 0 E₂E₁A 1 . ΕΛ 0 0 0 EE₂E₁A 1 07 0 1 0 0 0 1 E₁E₂E₂E₁A = I
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