16.2. Mathematical Interpretation of Relations

Try these first

1. 1.

   What is a relation?

   Hint

   Think of how elements in both sets relate.

2. 2.

   Define a reflexive relation.

   Hint

   Consider why the diagonal matters.

3. 3.

   What is a relation in mathematics?

   • A single element
   • A subset of a Cartesian product
   • Only a binary relation

   Hint

   Think about how two sets interact.

4. 4.

   True or False: A reflexive relation must have all diagonal elements in the matrix representation as 1.

   • True
   • False

   Hint

   Remember the definition of reflexive relations.

5. 5.

   If set A contains three elements and set B contains four elements, how many unique binary relations can be formed?

   Hint

   Calculate the product of the number of elements and use the power of 2.

6. 6.

   Create a reflexive relation matrix for set A = {1, 2, 3}. Then add additional pairs while keeping it reflexive.

   Hint

   Focus on maintaining those diagonal 1s.