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

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

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 }

A={1,2,3,4}, THEN R={(1,2),(1,3),(3,3),(3,1)} IS A __________

Let the set 𝐴={1,2,3,4}. and consider the following relations on the set A R={(1,1),(2,2),(3,3),(4,4)} S={(1,2),(2,1),(3,4),(4,3), (3,3)} T={(1,2),(2,3),(1,3), (4,4)} U={(1,3),(2,4),(3,1),(4,2),(1,1),(1,4)}then:R is and  and S is and  and T is and  and U is and  and

Let A = {4,5,6} , B = {a,y,c,w}and R = {(4,c), (4,y), (5,a),(5,c), (5,w)} is a relation from A to B.Then we can write :