Draw the digraph for the partial order, Mathematics

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1. Consider the relation on A = {1, 2, 3, 4} with relation matrix:

389_Draw the digraph for the partial order.png

Assume that the rows and columns of the matrix refer to the elements of A in the order 1, 2, 3, 4.

(a) Draw the digraph for the given partial order.

(b) Draw the Hasse Diagram for the partial order.

(c) How many total orders contain the given partial order as a subset?

 


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