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April 20th, 2017, 05:07 AM   #1
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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.
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April 20th, 2017, 11:50 AM   #2
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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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