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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define W(k) in your own words.
💡 Hint: Think about it as a way to show reachability in a graph.
Question 2
Easy
What does W(i, j)(1) equal if there is a direct edge from i to j?
💡 Hint: Consider if a direct connection counts.
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 does W(i, j)(k) = 1 mean?
- There is a direct edge from i to j.
- There exists a path from i to j with intermediates only from 1 to k.
- i is not connected to j.
💡 Hint: Focus on the definition of W(k).
Question 2
True or False: The length of the path is crucial for W(k).
- True
- False
💡 Hint: Remember what defines a path in this context.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a directed graph with at least six nodes and present the W(k) matrices for k=1, 2, 3. Then explain how k affects connectivity.
💡 Hint: Consider how adding nodes modifies the pathways.
Question 2
Given W(3) = [[0, 1, 0], [0, 0, 1], [1, 0, 0]]; analyze the matrix and describe the possible paths.
💡 Hint: Use the entry values to find valid routes through the matrix.
Challenge and get performance evaluation