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August 10th, 2017, 05:58 AM   #1
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From: Delft

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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 06:01 AM. Reason: spelling
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