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August 10th, 2017, 06:58 AM  #1 
Newbie Joined: Aug 2017 From: Delft Posts: 1 Thanks: 0  Trajectory of a complex eigenvector
Hi there! I could use some help. I can't figure out how i know what the trajectory is of a complex eigenvector(my book isn't really helping me) In the example question the matrix is [0.8 0.5 0.1 1.0] (2x2 matrix) with eigenvalue 9+/ 2i and eigenvector [1+/ 2i,1]^T Now the part i cant figure out is how i find out what the trajectory is. I know the spiral is unstable because the real part of the eigenvalue is >0 But how do i calculate the initial vectors? In the book they calculated that they are [0,2.5]^T, [3,0]^T and [3,0]^T Thanks for the help Last edited by jordimath; August 10th, 2017 at 07:01 AM. Reason: spelling 

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complex, eigenvector, trajectory 
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