Question: Give another example of a 2 2 doubly stochastic matrix. (a) Is your matrix symmetric; that is, does it equal its own transpose? (b)

Give another example of a 2 × 2 doubly stochastic matrix.
(a) Is your matrix symmetric; that is, does it equal its own transpose?
(b) Prove that every 2 × 2 doubly stochastic matrix is symmetric?

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