(a) Show that one of the nondiagonal elements, but not both, must be negative in order for...

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(a) Show that one of the nondiagonal elements, but not both, must be negative in order for the eigen values to be nonreal.
(b) Show that eigenvalues are imaginary (Î± = 0) if and only if Tr A = 0 and |A| > 0.

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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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Question Posted: May 26, 2016 06:13 AM

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(a) Show that one of the nondiagonal elements, but not both, must be negative in order for...

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a The characteristic equation is with solution Hence for bc ...View the full answer

Differential Equations and Linear Algebra

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