Question: Let A = {1,2,3,4,5,6,7,8} and partition A into the subsets P1 = {1,3,7}, P2 = {2,4,6,8}, and P3 = {5}. Let R be the relation

Let A = {1,2,3,4,5,6,7,8} and partition A into the subsets P1 = {1,3,7}, P2 = {2,4,6,8}, and P3 = {5}. Let R be the relation defined on A by

(a , b) R if and only if a and b are in the same set Pi for some i = 1,2,3.

  • (a) List the elements in R.
  • (b) Draw the directed graph representing R.
  • (c) Find the matrix representing R.

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