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How to find the eigenvector corresponding to each eigenvalues

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Hi, everyone,

 

So I have come to the eigenvalues of matrix D, and now I want to find the eigenvector corresponding to eigenvalue 176.718.

Is there a way to find the it?

2.PNG

Using the eigenvecs cannot produce the right answer,

Capture.PNG

As seen in this figure, EV has four linear independent eigenvectors, and the last column is the right one. But I presume this is only a coincidence,

as eigenvecs in this case used det(D-lambda*I)=0, to recalculate all new lambdas of the new defined D.

Is there a function like [lambda, Eigenvector]= eig(K,M) in Matlab, that returns to the eigenvectors corresponding to each eigenvalues?

 

Thank you for your time

Best

Shawn


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