Let A and B be n à n doubly stochastic matrices and 0 because A and B

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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

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

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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

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