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ГО О 11 5. Let A = 2 4 0 Shown below is a sequence of elementary row operations that reduces A to the identity. 0. 13 0 Find elementary matrices E₁, E2, E3, and E4 corresponding to the row operations shown below (in the order shown) such that E4E3E₂E₁A=I. [0 0 1 24 0 L3 0 ol R₁ R3 [3 0 0 2 4 0 LO 0 1 1 R₁ R₁ 1 2 0 0 4 0 0 1. -2R₁+R₂ R₂ 1 0 0 0 40 0 0 11 1 →R₂ 1 0 1 0 0 0

ГО О 11 5. Let A = 2 4 0 Shown below is a sequence of elementary row operations that reduces A to the identity. 0. 13 0 Find elementary matrices E₁, E2, E3, and E4 corresponding to the row operations shown below (in the order shown) such that E4E3E₂E₁A=I. [0 0 1 24 0 L3 0 ol R₁ R3 [3 0 0 2 4 0 LO 0 1 1 R₁ R₁ 1 2 0 0 4 0 0 1. -2R₁+R₂ R₂ 1 0 0 0 40 0 0 11 1 →R₂ 1 0 1 0 0 0

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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Question 5. Please write down the question for me too on paper so I can keep it as my notes. Thanks a lot
TO 5. Let A = 2 0 1 4 0 Shown below is a sequence of elementary row operations that reduces A to the identity. 13 0 01 Find elementary matrices E₁, E2, E3, and E4 corresponding to the row operations shown below (in the order shown) such that E4E3E₂E₁A = I. TO 0 1 2 4 0 L3 0 01 R₁ R3 13 0 2 4 0 0 0 0 1 1 [1 3R1 R₁ →2 LO 0 0 4 0 0 1. -2R₁+R₂ R₂ 1 0 0 4 0 0 0 1. 0 0 R₂ R₂ 1 →0 1 0 Lo 0 1
Transcribed Image Text:TO 5. Let A = 2 0 1 4 0 Shown below is a sequence of elementary row operations that reduces A to the identity. 13 0 01 Find elementary matrices E₁, E2, E3, and E4 corresponding to the row operations shown below (in the order shown) such that E4E3E₂E₁A = I. TO 0 1 2 4 0 L3 0 01 R₁ R3 13 0 2 4 0 0 0 0 1 1 [1 3R1 R₁ →2 LO 0 0 4 0 0 1. -2R₁+R₂ R₂ 1 0 0 4 0 0 0 1. 0 0 R₂ R₂ 1 →0 1 0 Lo 0 1
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