$($Answer must be in your own hand$-$writing$)$

$($a$)$ Let R and S be binary relations defined from the set A $=\backslash \{1,2,4\backslash \}$ to the set B $=\backslash \{2,6,8,10\backslash \}$ such that $($a$,$ b$)\backslash$in R if and only if a divides b; and $($a$,$ b$)\backslash$in S if and only if b $-4=$ a List elements of R cup S$,$ and R cap S$.\%$

$10-2024/07$

$(2$ marks$)202$ relation on

$($b$)$ Using Warshall's algorithm, find the transitive closure of the A $=\backslash \{2,3,4,5\backslash \}$ represented by the adjacency matrix $2345$ W $0=$ matrix $3\backslash \backslash 4\backslash \backslash 4\backslash \backslash [[0,1,0,0],[0,0,1,0],[0,0,0,1],[0,1,0,0]]$