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Question: Show that two linear systems X' = AX and X' = BX, where A and B have the same complex eigenvalues +-bi; b = 0, are conjugated.

Question: Show that two linear systems X' = AX and X' = BX, where A and B have the same complex eigenvalues +-bi; b = 0, are conjugated.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 5CC
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Question: Show that two linear systems X' = AX and X' = BX, where A and B have the same complex eigenvalues +-bi; b = 0, are conjugated. 2. What happens if the systems have eigenvalues +-bi and +-gi, with b # g ? What if b= -g ?
Transcribed Image Text:Question: Show that two linear systems X' = AX and X' = BX, where A and B have the same complex eigenvalues +-bi; b = 0, are conjugated. 2. What happens if the systems have eigenvalues +-bi and +-gi, with b # g ? What if b= -g ?
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