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Consider the following Gauss-Jordan reduction Find B₁ = 0 1 27 -7 -3 0 1 0 27 -7-3 - 1 0 1 Write A as a product A=E, ¹E, ¹E, ¹E, of elementary matrices -7 0 0 0 E₁A 4 16884-888-8834838 =======||===||=== 1 0 17 -7 0 0 0 E₂E.A Го 1 [100] ED 01 0 0 1 0 I 10 0 001 F₂₂₁A EE₂₂A

Consider the following Gauss-Jordan reduction Find B₁ = 0 1 27 -7 -3 0 1 0 27 -7-3 - 1 0 1 Write A as a product A=E, ¹E, ¹E, ¹E, of elementary matrices -7 0 0 0 E₁A 4 16884-888-8834838 =======||===||=== 1 0 17 -7 0 0 0 E₂E.A Го 1 [100] ED 01 0 0 1 0 I 10 0 001 F₂₂₁A EE₂₂A

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 = -9 27 1-9 0 1 27-7-3=10001-7-300E₂A-9011 Write A as a product A = E¹E¹E¹E¹ of elementary matrices: 0 11 00-70 E,A >> 010-70 E₂,E,A 0 0 1 0 0 0 1 0 E₂ E₂ E, AO → HEACHEE+BEEHB E3 = 00 01 EEE₂E₁A = | E4= Consider the following Gauss-Jordan reduction Find 9 27 1 0 -7 0 -9 0 27 -7 1 0 A 1 -3 0 - 1 Write A as a product A=E, ¹E, ¹E, ¹E, of elementary matrices 7 00 E₁A 0 0 -7 0 001 100 E₂E₁A 0 0 100 ₂₂A n 00 010-I MESEMBEEHEEEHEEE == 001 EEEEA
Transcribed Image Text:Consider the following Gauss-Jordan reduction: Find E₁ = -9 27 1-9 0 1 27-7-3=10001-7-300E₂A-9011 Write A as a product A = E¹E¹E¹E¹ of elementary matrices: 0 11 00-70 E,A >> 010-70 E₂,E,A 0 0 1 0 0 0 1 0 E₂ E₂ E, AO → HEACHEE+BEEHB E3 = 00 01 EEE₂E₁A = | E4= Consider the following Gauss-Jordan reduction Find 9 27 1 0 -7 0 -9 0 27 -7 1 0 A 1 -3 0 - 1 Write A as a product A=E, ¹E, ¹E, ¹E, of elementary matrices 7 00 E₁A 0 0 -7 0 001 100 E₂E₁A 0 0 100 ₂₂A n 00 010-I MESEMBEEHEEEHEEE == 001 EEEEA
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