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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a relation?
💡 Hint: Think of how elements in both sets relate.
Question 2
Easy
Define a reflexive relation.
💡 Hint: Consider why the diagonal matters.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
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.
Question 2
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.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation