1) Draw the arrow diagram and the matrix representation for the relation: R={(1, 2), (3, 4), (2, 3), (3, 2), (2, 1), (3, 1), (4, 3)} with domain {1, 2, 3, 4)
Accepted Solution
A:
Answer:The arrow diagram and the matrix representation for the relation is shown below.Step-by-step explanation:The given relation isR={(1, 2), (3, 4), (2, 3), (3, 2), (2, 1), (3, 1), (4, 3)} If a relation is defined as[tex]R=\{(x,y)|x\in R,y\in R\}[/tex]Then the set of x values is domain and set of y values is range.The domain of the function is Domain={1, 2, 3, 4)The range of the function is Range={1, 2, 3, 4)In arrow diagram, we have two sets first set represents the domain and second set represents the range. The arrow connecting the element represent the relation.In matrix representation,[tex]M_{ij}=\begin{cases}1 & \text{ if } (x_i,y_j)\in R \\ 0 & \text{ if } (x_i,y_j)\notin R\end{cases}[/tex]The arrow diagram and the matrix representation for the relation is shown below.