April 20th, 2017, 05:07 AM  #1 
Newbie Joined: Feb 2017 From: Norway Posts: 3 Thanks: 0  Eigenvector
Hello! I have the following matrix: Out of this, I get the eigenvalues The Eigenvector for λ1 is pretty straight forward, but for the two others I am struggling a bit more. Does any one have any idea for a solution? Last edited by skipjack; April 20th, 2017 at 10:47 AM. 
April 20th, 2017, 11:50 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 1,977 Thanks: 1026 
the method is the same even though the eigenvalues are complex. Insert the eigenvalue in for $\lambda$ and Gaussian reduce $A\lambda I$ You'll have to convert those complex values to cartesian form and use complex arithmetic while reducing. Here's the reduction of $A\dfrac{1}{2} \left(1+i \sqrt{3}\right) I$ 

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