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Find ER such that the system [(2 − 1)x+2y = 0 x + 2y = 0 has a nontrivial solution (i.e. not (0,0)).

Find ER such that the system [(2 − 1)x+2y = 0 x + 2y = 0 has a nontrivial solution (i.e. not (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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Find ER such that the system [(a−1)x+2y=0 x + 2y = 0 has a nontrivial solution (i.e. not (0,0)).
Transcribed Image Text:Find ER such that the system [(a−1)x+2y=0 x + 2y = 0 has a nontrivial solution (i.e. not (0,0)).
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Step 1

Here we have to find the values of λ such that the given system of equations   (λ-1)x+2y=0           x+λy=0  has a non trivial solution.

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