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Consider the following Gauss-Jordan reduction: Find E₁ = -3 0 1 0 1 -9 72 = 0 0 -3 0 1 E₂ = 0 1 -9 72 0 0 A -3 0 1 0 1 -8 1 0 0 E₁A #### , E3 = Write A as a product A = E₁¹E, ¹E¹E¹ of elementary matrices: ГО E4 = 0 0 1 0 E₂2E1A 1 -8 0 ГО 0 11 0 1 0 | 1 00 E3E2E1A [1 0 0 01 0 = I 1 Е4E3E₂E₁A

Consider the following Gauss-Jordan reduction: Find E₁ = -3 0 1 0 1 -9 72 = 0 0 -3 0 1 E₂ = 0 1 -9 72 0 0 A -3 0 1 0 1 -8 1 0 0 E₁A #### , E3 = Write A as a product A = E₁¹E, ¹E¹E¹ of elementary matrices: ГО E4 = 0 0 1 0 E₂2E1A 1 -8 0 ГО 0 11 0 1 0 | 1 00 E3E2E1A [1 0 0 01 0 = I 1 Е4E3E₂E₁A

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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Consider the following Gauss-Jordan reduction: Find E₁ = -3 0 1 E₂ = 0 1 -9 72 = 0 0 -3 0 1 , E3 = Write A as a product A = Е₁ ¹Е₂¹È¸¹Е¹ of elementary matrices: 0 1 -9 72 0 0 A -3 0 1 0 1 -8 1 0 0 E₁A E4 = ГО 0 0 1 0 E₂2E1A 1 -8 0 ГО 0 11 0 1 0 | 1 00 E3E2E1A [1 0 0 01 0 = I 1 Е4E3E₂E₁A
Transcribed Image Text:Consider the following Gauss-Jordan reduction: Find E₁ = -3 0 1 E₂ = 0 1 -9 72 = 0 0 -3 0 1 , E3 = Write A as a product A = Е₁ ¹Е₂¹È¸¹Е¹ of elementary matrices: 0 1 -9 72 0 0 A -3 0 1 0 1 -8 1 0 0 E₁A E4 = ГО 0 0 1 0 E₂2E1A 1 -8 0 ГО 0 11 0 1 0 | 1 00 E3E2E1A [1 0 0 01 0 = I 1 Е4E3E₂E₁A
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