Practice Examples of W Matrices - 20.5 | 20. Warshall’s Algorithm for Computing Transitive Closure | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define what a W Matrix is.

💡 Hint: Think about how these matrices are structured.

Question 2

Easy

What does it mean if W[k][i,j] = 1?

💡 Hint: Consider the conditions for marking entries in the matrix.

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 a W Matrix represent?

  • Reachability between nodes
  • Direct connection only
  • No connections at all

💡 Hint: Think about how paths are formed in a graph.

Question 2

True or False: W(n)[i,j] can be set to 1 regardless of the path length.

  • True
  • False

💡 Hint: Review the conditions for setting entries in the matrix.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a directed graph with nodes A, B, C, and D where edges are A->B, B->C, C->D, and A->C, derive W(2) and W(3). Explain reasoning in each step.

💡 Hint: Use systematic checking across intermediate nodes for accuracy.

Question 2

Identify potential issues in using Warshall's Algorithm on a graph with cycles and discuss implications in reachability.

💡 Hint: Consider how paths can loop back and affect matrix entries.

Challenge and get performance evaluation