Answer:
Following are the solution to the given points:
Step-by-step explanation:
In point 1:
The Reflexive closure:
Relationship R reflexive closure becomes achieved with both the addition(a,a) to R Therefore, (a,a) is [tex](0,0),(1,1),(2,2) \ and \ (3,3)[/tex]
Thus, the reflexive closure: [tex]R={(0,0),(0,1),(1,1),(1,2),(2,0),(2,2),(3,0), (3,3)}[/tex]
In point 2:
The Symmetric closure:
R relation symmetrically closes by adding(b,a) to R for each (a,b) of R Therefore, here (b,a) is: [tex](0,1),(0,2)\ and \ (0,3)[/tex]
Thus, the Symmetrical closure:
[tex]R={(0,1),(0,2),(0,3)(1,0),(1,1)(1,2),(2,0),(2,2),(3,0), (3,3)}[/tex]
