Use the result in Exercise 16 to show that if then the solutions of the characteristic equation
Question:
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then the solutions of the characteristic equation of A are
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Use this result to show that A has
(a) Two distinct real eigenvalues if (a - d)2 + 4bc > 0
(b) Two repeated real eigenvalues if (a - d)2 + 4bc = 0
(c) Complex conjugate eigenvalues if (a - d)2 + 4bc
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The characteristic equation of A is 2 a d ad bc 0 This is a quadratic equation whose discr...View the full answer
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Related Book For 
Elementary Linear Algebra with Applications
ISBN: 978-0471669593
9th edition
Authors: Howard Anton, Chris Rorres
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