Eigenvalues and Eigenvectors - MIT Mathematics
higher the power of A, the closer its columns approach the steady state. We mention that this particular A is a Markov matrix. Its entries are positive and every column adds to 1. Those facts guarantee that the largest eigenvalue is D 1 (as we found). Its eigenvector x1 D .:6;:4/ is the steady state—which all columns of Ak will approach.
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