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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What defines an antisymmetric relation?
💡 Hint: Think about the conditions for having both pairs.
Question 2
Easy
True or False: All diagonal entries in an antisymmetric relation matrix must be 0.
💡 Hint: Consider what self-relating pairs would mean in terms of antisymmetry.
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 condition defines an antisymmetric relation?
- a) Both (a
- b) and (b
- a) must be present.
- b) If (a
- b) and (b
- a) are present
- then a must equal b.
- c) They may contain any pairs without restrictions.
💡 Hint: Think about the implications of having both pairs.
Question 2
True or False: An empty relation can be classified as antisymmetric.
- True
- False
💡 Hint: Consider what absence of pairs implies for the properties.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the relation R = {(1, 1), (2, 2), (1, 2)}, determine if R is antisymmetric and explain your reasoning.
💡 Hint: Look for pairs that contradict antisymmetry.
Question 2
Create an antisymmetric relation involving the numbers 1 to 4. Provide its matrix and justify your pairs.
💡 Hint: Remember to ensure no pairs conflict with the conditions set by antisymmetry.
Challenge and get performance evaluation