Question

consider the relation matrix (111010000) on a set A=(a, b, c) The the relation R is _______?​

Answer 1

Step-by-step explanation:

Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on 

A.Here, R is relation which is reflexive and symmetric but not transitive.

(a,b)∈R and (b,c)∈R but (a,c)∈R

(ii) Consider the relation R={(a,a),(a,b),(b,a),(b.b)} on A.

Here R is symmetric and transitive but not reflexive.

(c,c)∈/R

(iii) Consider the relation R={(a,a),(b,b),(c,c),(a,b)} on A.

Here R is reflexive and transitive but not symmetric.

(a,b)∈R but (b,a)∈/R