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Therefore, the roots are, r₁ = 1, r2 = -1. Substitute r 1 in the system. www 1 -1 () ()-() = 3 -3 Then, from the reduced form, the equation obtained is, 1 - 2 = 0 Therefore, the corresponding eigen vector is obtained as, (²) = (1)

Therefore, the roots are, r₁ = 1, r2 = -1. Substitute r 1 in the system. www 1 -1 () ()-() = 3 -3 Then, from the reduced form, the equation obtained is, 1 - 2 = 0 Therefore, the corresponding eigen vector is obtained as, (²) = (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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How do you get to the reduced form and then get the eigen vector in this problem? 

Therefore, the roots are, r₁ = 1, r = −1. Substitute r = 1 in the system. -1 (3)()-(0) Then, from the reduced form, the equation obtained is, 51-52 = 0 Therefore, the corresponding eigen vector is obtained as, -(1) (2)
Transcribed Image Text:Therefore, the roots are, r₁ = 1, r = −1. Substitute r = 1 in the system. -1 (3)()-(0) Then, from the reduced form, the equation obtained is, 51-52 = 0 Therefore, the corresponding eigen vector is obtained as, -(1) (2)
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