a) Let A = {1, 2, 3, 4, 5, 6} and the relation R on A is defined by R = {(a, b)|a + b is prime; a, b E A} i. List all elements in R. ii. Find the matrix of the relation, MR. ii. List in-degrees and...


a)<br>Let A = {1, 2, 3, 4, 5, 6} and the relation R on A is defined by<br>R = {(a, b)|a + b is prime; a, b E A}<br>i. List all elements in R.<br>ii. Find the matrix of the relation, MR.<br>ii. List in-degrees and out-degrees of each element in A.<br>iv. Determine whether the relation R is transitive? Justify your answers.<br>

Extracted text: a) Let A = {1, 2, 3, 4, 5, 6} and the relation R on A is defined by R = {(a, b)|a + b is prime; a, b E A} i. List all elements in R. ii. Find the matrix of the relation, MR. ii. List in-degrees and out-degrees of each element in A. iv. Determine whether the relation R is transitive? Justify your answers.

Jun 04, 2022
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