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All about Relation and Cartesian Product
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- An ordered pair has a pair of elements which occur in a definite order.
- An ordered pair has a pair of elements which occur in a definite order.
- Cartesian Product - Given two sets A and B, all possible ordered pairs (x, y) obtained such that x ÎA and yÎB is called the cartesian product of the sets A and B and is denoted by A x B.
- The Cartesian Product can be represented graphically and by an arrow diagram.
- Relation - If A and B are two non-empty sets, then a relation R in A x B, is a subset of A x B.
- The four types of relation are: one-one, many-one, one-many and many-many. Each of these relations is either an 'onto' relation or an 'into' relation.
- A relation may possess reflexive property, transitive property or symmetric property. If it has all these three properties, it is called an equivalence relation.
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