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anuttarasammyak reacted to mathwonk's post in the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors? with
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In post #28, what matters is that the vectors xj span. And that they are eigenvectors is irrelevant. Indeed the eigenvectors of a... -
anuttarasammyak reacted to renormalize's post in the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors? with
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What if the matrix ##A## has repeated eigenvalues and not all the eigenvectors are linearly independent? -
anuttarasammyak replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.I admit that the cases of eigenvalue degeneration should be considered next. I am optimistic to expect that for an example degeneracy 2... -
anuttarasammyak replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.Say matrix A has sets of eigenvalues and eigenvectors as $$(\mathbf{A}-\lambda_i\mathbf{E})\mathbf{x}_i=0$$ Say there exists another...