An n x n real matrix A = [aij] whose elements satisfy aij 20 for all (i, j), > aij = 1 for all j i=1 is called a Markov matrix. Show that s = 1 is an eigenvalue of a Markov matrix.

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An n x n real matrix A = [aij] whose elements satisfy
aij 20 for all (i, j), > aij = 1
E aij
for all j
i=1
is called a Markov matrix. Show that s = 1 is an eigenvalue of a Markov matrix.
%3D
Transcribed Image Text:An n x n real matrix A = [aij] whose elements satisfy aij 20 for all (i, j), > aij = 1 E aij for all j i=1 is called a Markov matrix. Show that s = 1 is an eigenvalue of a Markov matrix. %3D
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