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Find E₁ = Consider the following Gauss-Jordan reduction: 1 0 0 0 3 0 1 18 -9 0 1 0 0 1 0 1/ 2/ E₂ = 1 0 0 1 www-w 18 -9 0 →>>> 18 -9 0 1 0 0 0 0 1 ப்பயப பயார் E₁ A 1 0 3 0 1 18 -9 0 1 0 0 1 0 0 A 0 0 1 0 -- E3 = -2 1 0 E4 = 0 0 0 1 1 Write A as a product A = E₁¹E₂¹ E3¹E¹ of elementary matrices: 0 0 டயார் E₂E₁A 1 0 1 -2 1 0 0 0 1 E3 E₂ E₁ A 0 0 0 0 0 1 →>>> E 1 0 0 1 0 0 Cumu 0 0 = I 1 E4 E 3 E₂ E₁ A

Find E₁ = Consider the following Gauss-Jordan reduction: 1 0 0 0 3 0 1 18 -9 0 1 0 0 1 0 1/ 2/ E₂ = 1 0 0 1 www-w 18 -9 0 →>>> 18 -9 0 1 0 0 0 0 1 ப்பயப பயார் E₁ A 1 0 3 0 1 18 -9 0 1 0 0 1 0 0 A 0 0 1 0 -- E3 = -2 1 0 E4 = 0 0 0 1 1 Write A as a product A = E₁¹E₂¹ E3¹E¹ of elementary matrices: 0 0 டயார் E₂E₁A 1 0 1 -2 1 0 0 0 1 E3 E₂ E₁ A 0 0 0 0 0 1 →>>> E 1 0 0 1 0 0 Cumu 0 0 = I 1 E4 E 3 E₂ E₁ A

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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Find E₁ Consider the following Gauss-Jordan reduction: 3 18 1 0 1 0 -9 0 1 0 1/ 2/ E₂ = 1 3 18 ப்பயப 1 0 0 -9 0 0 0 1 0 0 18 -9 ----- 0 E₂ E₁A A 1 0 E3 1 Write A as a product A = E7¹ E¿¹E3¹E7¹ of elementary matrices: 18 -9 = 0 E₁A 0 1 0 1 E4 = -2 1 0 00 E 3 E₂ E ₁ A 0 1 1 0 0 1 E4 E 3 E 2 E ₁ A = I
Transcribed Image Text:Find E₁ Consider the following Gauss-Jordan reduction: 3 18 1 0 1 0 -9 0 1 0 1/ 2/ E₂ = 1 3 18 ப்பயப 1 0 0 -9 0 0 0 1 0 0 18 -9 ----- 0 E₂ E₁A A 1 0 E3 1 Write A as a product A = E7¹ E¿¹E3¹E7¹ of elementary matrices: 18 -9 = 0 E₁A 0 1 0 1 E4 = -2 1 0 00 E 3 E₂ E ₁ A 0 1 1 0 0 1 E4 E 3 E 2 E ₁ A = I
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