By examining the determinant of the coefficient matrix, show that the following system has a nontrivial solution

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By examining the determinant of the coefficient matrix, show that the following system has a nontrivial solution if and only if α = β.
x + y + αz = 0
x + y + βz = 0
αx + βy + z = 0

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Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

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Question Posted: Jun 17, 2016 08:00 AM

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By examining the determinant of the coefficient matrix, show that the following system has a nontrivial solution

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Elementary Linear Algebra with Applications

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