On the Convergence of the Sequence of Powers of a 2 X 2 Matrix
Roman W. Wong · Mathematics Magazine · 1996
Introduction The sequence {r}, r real, is convergent if, and only if, Irl Itr A)l. This result is then applied to prove a well-known theorem in Markov chains for 2 X 2 regular stochastic matrices and to obtain an explicit formula for the stationary matrix and eigenvector.