Suppose that the relation R on a set is represented by the matrix MR= 1101  1100  0001  1011 Find the following:- R  is Answer R  is Answer R  is Answer R  is Answer

Suppose that the relation R on a set is represented by the matrix

Let R be a relation on the integers, where R=

A relation p on the set X = {a,b,c,d} is represented by the following Boolean matrix.1 0 1 10 1 1 11 1 1 01 1 0 0Which of the properties below does p have? A It is reflexive. B It is symmetric. C It is transitive. D It is an equivalence relation. E None of the above.

Draw the digraph and find matrix of relation for R∪ 𝑆 and R∩ 𝑆 if relations R & Sare defined on a set 𝐴 = {1,2,3,4,5,6} as𝑅 = {(𝑎, 𝑏) 𝑠𝑢𝑐ℎ𝑡ℎ𝑎𝑡 𝑎 𝑑𝑒𝑣𝑖𝑑𝑒𝑠 𝑏, ∀ 𝑎, 𝑏 ∈ 𝐴 }𝑆 = {(𝑎, 𝑏) 𝑠𝑢𝑐ℎ𝑡ℎ𝑎𝑡 𝑎 𝑖𝑠 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑒 𝑜𝑓 𝑏 , ∀ 𝑎, 𝑏 ∈ 𝐴 }

Consider the following adjacency matrix defined on the set X = {10, 20, 30, 40}:1001010000100101Which of the following option correctly represents the Relation defined by the above adjacency matrix?Question 11Answera.R = {(10, 10), (20, 20), (30, 40), (40, 30), (10, 40), (40, 20)}b.R = {(10, 40), (40, 20), (40, 40), (30, 30), (10, 10), (20, 20)}c.R = {(10, 10), (20, 20), (40, 40), (40, 30), (10, 40), (40, 20)}d.R = {(10, 10), (20, 20), (30, 40), (40, 30), (40, 10), (40, 20)}