Answer:
The arrow diagram and the matrix representation for the relation is shown below.
Step-by-step explanation:
The given relation is
R={(1, 2), (3, 4), (2, 3), (3, 2), (2, 1), (3, 1), (4, 3)}
If a relation is defined as
![R=\{(x,y)|x\in R,y\in R\}](https://tex.z-dn.net/?f=R%3D%5C%7B%28x%2Cy%29%7Cx%5Cin%20R%2Cy%5Cin%20R%5C%7D)
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,
![M_{ij}=\begin{cases}1 & \text{ if } (x_i,y_j)\in R \\ 0 & \text{ if } (x_i,y_j)\notin R\end{cases}](https://tex.z-dn.net/?f=M_%7Bij%7D%3D%5Cbegin%7Bcases%7D1%20%26%20%5Ctext%7B%20if%20%7D%20%28x_i%2Cy_j%29%5Cin%20R%20%5C%5C%200%20%26%20%5Ctext%7B%20if%20%7D%20%28x_i%2Cy_j%29%5Cnotin%20R%5Cend%7Bcases%7D)
The arrow diagram and the matrix representation for the relation is shown below.