1 Show that if A and B are doubly stochastic n Atilde n matrices, then AB is also a doubly stochastic n Atilde n matrix Show that (AB) En En and En (AB) En 2 Show that if A is a doubly stochastic n Atilde n matrix, then Is a stable distribution for A First show that A 1

Question: 1. Show that if A and B are doubly stochastic n Ã n matrices, then AB is also a doubly stochastic n Ã n matrix.

1. Show that if A and B are doubly stochastic n Ã— n matrices, then AB is also a doubly stochastic n Ã— n matrix. Show that (AB) En = En and En (AB) = En?
2. Show that if A is a doubly stochastic n Ã— n matrix, then

Is a stable distribution for A. First show that A

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