right eigenvector corresponding to an eigenvalue 1

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A123456
A123456 2016년 1월 23일
댓글: Sebastian Castro 2016년 1월 25일
How can I find the eigenvector corresponding to the eigenvalue

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Sebastian Castro
Sebastian Castro 2016년 1월 24일
As the documentation for the eig function says:
[V,D] = eig(A) returns diagonal matrix D of eigenvalues and matrix V whose columns are the corresponding right eigenvectors, so that A*V = V*D.
So, if you use the command above, for example
  • D(2,2) would give you the 2nd eigenvalue
  • V(:,2) would give you the 2nd eigenvector
- Sebastian
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A123456
A123456 2016년 1월 25일
So how would I get the left eigenvector of the matrix?
Sebastian Castro
Sebastian Castro 2016년 1월 25일
Also from the documentation for eig (hint: you should look at it!)
[V,D,W] = eig(A) also returns full matrix W whose columns are the corresponding left eigenvectors, so that W'*A = D*W'.
- Sebastian

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