Find the Identity relation, when. `A.= {a,b,c,d}`

Write the identity relation on set A={a,b,c}.

Is R={(a,a),(b,b),(c,c),(a,c)} the identity relation on the set A={a,b,c} ?

Write the identity relation on set A={a ,\ b ,\ c} .

L A = NxxN and ** be the binary operation on A defined by (a,b) "*" (c,d) = (a+c,b+d) Show that ** is commutative and associative . Find the identity element for ** on A , if any.

Let A = R xx R and * be a binary operation on A defined by : (a,b) * (c,d) = (A+c,b+d) . Show that * is commutative and associative. Find the identity element for * on A. Also find the inverse of every element (a,b) in A.

State whether the statement is true or false ? If A= {a,b,c,d} and R={(a,c),(b,d),(b,c),(c,a),(d,b)} then R is a symmertric relation on A .

Let A = R xx R and * A xx A rarr A be defined as (a,b) * (c,d) = (ac-bd,ad+bc) for all (a,b), (c,d) in A. Find the identity element of A w.r.t. '*' and invertible elements of A.

Find the number of relations that can be defined on the set A={a,b,c,d}.

If A={a,b,c,d}, then on A . (i) write the identity relation I_(A) . (ii) write a reflexive relation which is not the identity relation.

If A={a,b,c,d}, then on A . (i) write the identity relation I_(A) . (ii) write a reflexive relation which is not the identity relation.