Practice - Examples of W Matrices
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Practice Questions
Test your understanding with targeted questions
Define what a W Matrix is.
💡 Hint: Think about how these matrices are structured.
What does it mean if W[k][i,j] = 1?
💡 Hint: Consider the conditions for marking entries in the matrix.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a W Matrix represent?
💡 Hint: Think about how paths are formed in a graph.
True or False: W(n)[i,j] can be set to 1 regardless of the path length.
💡 Hint: Review the conditions for setting entries in the matrix.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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