Math, asked by basavaraj5392, 5 hours ago

let A={3C1, 3C2, 3C3 } and a relation R on AXA.
give examples for

Answers

Answered by anusreed
0

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

(i) 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.

(i) 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

(i) 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.

(i) 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.

(i) 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)∈

(i) 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)∈/

(i) 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

(i) 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.

(i) 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.

(i) 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

Answered by steffis
0

A×A is ({{3C_{1},3C_{1} }})({{3C_{1},3C_{2} }})({{3C_{1},3C_{3} }})({{3C_{2},3C_{1} }})({{3C_{2},3C_{2} }})({{3C_{2},3C_{3} }})({{3C_{3},3C_{1} }})({{3C_{3},3C_{2} }})({{3C_{3},3C_{3} }})Step 1: Find A×A.

Given- A={{{3C_{1},3C_{2},3C_{3} }}}

n=3

A×A = {({{3C_{1},3C_{1} }})({{3C_{1},3C_{2} }})({{3C_{1},3C_{3} }})({{3C_{2},3C_{1} }})({{3C_{2},3C_{2} }})({{3C_{2},3C_{3} }})({{3C_{3},3C_{1} }})\\({{3C_{3},3C_{2} }})({{3C_{3},3C_{3} }})}

They cointains 9 elements.

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