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Ο 11 ΓΟ Let A = 2 40 Shown below is a sequence of elementary row operations that reduces A to the identity. L3 0 Find elementary matrices E₁, E2, E3, and E4 corresponding to the row operations shown below (in the order shown) such that Е4E3E₂E₁A = I. ГО 923 0 4 L3 0 1 0 O O OJ R₁ R3 [30 4 0 LO 07 1 1 3R₁ R₁ 0 0 4 0 [1 2 LO 0 1. -2R₁+R₂ R₂ [1 Lo 0 01 4 O 1. R₂ R₂ 0 1 →10 1 LO 0 0 0 1

Ο 11 ΓΟ Let A = 2 40 Shown below is a sequence of elementary row operations that reduces A to the identity. L3 0 Find elementary matrices E₁, E2, E3, and E4 corresponding to the row operations shown below (in the order shown) such that Е4E3E₂E₁A = I. ГО 923 0 4 L3 0 1 0 O O OJ R₁ R3 [30 4 0 LO 07 1 1 3R₁ R₁ 0 0 4 0 [1 2 LO 0 1. -2R₁+R₂ R₂ [1 Lo 0 01 4 O 1. R₂ R₂ 0 1 →10 1 LO 0 0 0 1

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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ΓΟ Ο 11 L3 0 Let A = 240 Shown below is a sequence of elementary row operations that reduces A to the identity. Find elementary matrices E₁, E2, E3, and E4 corresponding to the row operations shown below (in the order shown) such that E₁E3E₂E₁A = I. ГО О 1 24 0 L3 0 OJ R₁ R3 [3 0 2 4 0 LO 0 R₁ R1 [1 0 01 24 0 LO 0 1 -2R₁+R₂-R₂ [1 0 01 04 1. 1 R₂ R₂ [10 → 10 0 01 0 1.
Transcribed Image Text:ΓΟ Ο 11 L3 0 Let A = 240 Shown below is a sequence of elementary row operations that reduces A to the identity. Find elementary matrices E₁, E2, E3, and E4 corresponding to the row operations shown below (in the order shown) such that E₁E3E₂E₁A = I. ГО О 1 24 0 L3 0 OJ R₁ R3 [3 0 2 4 0 LO 0 R₁ R1 [1 0 01 24 0 LO 0 1 -2R₁+R₂-R₂ [1 0 01 04 1. 1 R₂ R₂ [10 → 10 0 01 0 1.
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