A relation on a set

can be described by a 0-1 square matrix where a 1 at row

and column

means that

is related to

. If the size of

is

, the total number of relations is

. There are several types of relations and this Demonstration allows you to combine choices from the ten most common ones. You can choose

, the size of the relation (i.e., the number of 1's in the matrix) and the amount of relations you want to see using the slide viewer. The Demonstration then presents a slide view containing each matrix (if there are any) and its graph (two vertices

and

being connected if there is a 1 at position

,

in the matrix).