A non-negative square matrix is called Markov if all the column sums are 1. It is easy to show that any Markov matrix has an eigenvalue 1.

For any Markov matrix, does there always exist an eigenvector associated with the eigenvalue 1 such that all of its entries are non-negative?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.