If R= {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} a symmetric relation on the set {1, 2,3, 4}.The relation R is

Write the smallest reflexive relation on set {1, 2, 3, 4} .

Show that the relation R on the set {1,2,3) given by R={(1,1), (2, 2), (3, 3), (1, 2), (2, 3)) is reflexive but neither symmetric nor transitive.

Show that matrix A=[{:(3,-4,2),(-4,0,6),(2,6,1):}] is a symmetric matrix.

If A={1, 2, 3, 4, 5} and R:ArarrA is {(1,2), (2,3), (4,5), (3,3)} then write R^-1:ArarrA .

Let. X = {1, 2, 3, 4, 5, 6, 7, 8,9}. Let R_(1) , be a relation on X given by R_(1) ={(x, y): x - y is divisible by 3)} and R_(2) , be another relation on X given by R_(2) ={(x, y): {x,y) sub (1,4,7) or (x, y) sub (2,5,8) or (x, y) sub (3, 6, 9)}. Show that R_(1)=R_(2) .

If A=[{:(1,2),(3,4):}],B=[{:(3,2),(1,4):}],C=[{:(2,2),(1,3):}] Calculate AB

If A=[{:(1,2),(3,4):}],B=[{:(3,2),(1,4):}],C=[{:(2,2),(1,3):}] Calculate BA

If A=[{:(1,2),(3,4):}],B=[{:(3,2),(1,4):}],C=[{:(2,2),(1,3):}] Calculate BC

If A=[{:(1,2),(3,4):}],B=[{:(3,2),(1,4):}],C=[{:(2,2),(1,3):}] Calculate CB

If A=[{:(1,2),(3,4):}],B=[{:(3,2),(1,4):}],C=[{:(2,2),(1,3):}] Calculate AC