Question: Let A and B be n à n doubly stochastic matrices and 0 because A and B are doubly stochastic.) Similarly, the sum of the

Let A and B be n × n doubly stochastic matrices and 0

Σ, +1-Ο b, -t+ (-0-1.
Σα-land Σ, -1

because A and B are doubly stochastic.)
Similarly, the sum of the jth column of C is

, +1- b, -t+ (-0-1. -land , -1

Therefore, C is doubly stochastic, so the set of all n × n doubly stochastic matrices is a convex set?

, +1- b, -t+ (-0-1. -land , -1

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