MATLAB: Finding eigenvectors matching to eigenvalues

Question

hello,

I hope it's fine that I ask this question here, couldn't find the information on the site. when I use the following function:

[V,D,W] = eigs(Matrix);

may I assume that the first column in V

c1 = V(1,:);

correspond to the first eigenvalue in D i.e. D(0,0) and so on? it sound logical that it will be so, but I want to make sure.

Thank you!

Answer 1

The respective Eigenvalues would be diag(D)

v1 = V(:,1) ; e1 = D(1,1) ; 
v2 = V(:,2) ; e2 = D(2,2) ; % and so on