Suppose that A is an n x n stochastic matrixthe sum of the elements of each column

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Suppose that A is an n x n stochastic matrix—the sum of the elements of each column vector is 1. If v = (1, 1, .... 1), show that AT v = v. Why does it follow that  λ = 1 is an eigenvalue of A?

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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