Question: 1. Give another example of a 3 3 doubly stochastic matrix. Is your matrix symmetric? Are all 3 3 doubly stochastic matrices symmetric?

1. Give another example of a 3 × 3 doubly stochastic matrix.
Is your matrix symmetric? Are all 3 × 3 doubly stochastic matrices symmetric?
2. Give another example of a 4 × 4 doubly stochastic matrix.
Is your matrix symmetric? Are all 4 × 4 doubly stochastic matrices symmetric?

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