Practice Examples Of W Matrices (20.5) - Warshall’s Algorithm for Computing Transitive Closure

Practice: Examples of W Matrices

Lesson 20.5Warshall’s Algorithm for Computing Transitive Closure

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define what a W Matrix is.
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Think about how these matrices are structured.
Question 2.
What does it mean if W[k][i,j] = 1?
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Consider the conditions for marking entries in the matrix.
3Question 3.
What does a W Matrix represent?
- Reachability between nodes
- Direct connection only
- No connections at all
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Think about how paths are formed in a graph.
4Question 4.
True or False: W(n)[i,j] can be set to 1 regardless of the path length.
- True
- False
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Review the conditions for setting entries in the matrix.
Question 5.
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.
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Use systematic checking across intermediate nodes for accuracy.
Question 6.
Identify potential issues in using Warshall's Algorithm on a graph with cycles and discuss implications in reachability.
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Consider how paths can loop back and affect matrix entries.

5 more questions in this section. Enroll free to practise them all.