Question

Reflexive, symmetric, or transitive are properties associated with:

a) Sets
b) Matrices
c) Relations
d) Algorithms

Answer 1

Reflexive, symmetric, and transitive are properties that are associated with relations in the context of set theory in mathematics.

Step-by-step explanation:

The properties of reflexive, symmetric, and transitive are associated with relations, specifically in the context of set theory within mathematics. These properties help to define certain types of relations.

• Reflexive: A relation R on a set A is reflexive if every element of A is related to itself, which can be written as (a, a) ∈ R for all a ∈ A.
• Symmetric: A relation R on a set A is symmetric if for all pairs (a, b) ∈ R, the pair (b, a) is also in R.
• Transitive: A relation R on a set A is transitive if for any three elements a, b, and c in A, if (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R must also hold.