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Can someone give an example of a strict positive square matrix that contains non zero same eigenvalues? In another word, a positive square matrix with repeated positive eigenvalues (algebraic multiplicity equals to at least two). Or such matrix doesn't exist? Thanks in advance.

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    $\begingroup$ If I understand your question correctly, isn't any diagonal matrix with a fixed positive integer as all its diagonal entries will do ? $\endgroup$
    – Sam
    Nov 19, 2017 at 13:54

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