QUESTION 5
Let A = {1, 2, 3, 4, 5, 6} and define the relation R on A by aRb if and only if a - b >= 2.
For example, (5, 2) in R since 5 - 2 = 3 >= 2, but (1, 2) not in R since 1 - 2 = -1 < 2.
(a) Determine the matrix M_R of R.
(b) Determine the directed graph of (A, R).
(c) Give the in-degree and out-degree of 3.
QUESTION 5
Let A = {1, 2, 3, 4, 5, 6} and define the relation R on A by aRb if and only if a - b >= 2.
For example, (5, 2) in R since 5 - 2 = 3 >= 2, but (1, 2) not in R since 1 - 2 < 2.
(a) Determine the matrix M_R of R.
(b) Determine the directed graph of (A, R).
(c) Give the in-degree and out-degree of 3.