• Prague Bucharest Rome Sofia Moditrranan S Athens Southeast Eurofly is a small airline company that flies among the following cities. 1. Build the diagraph by labelling the cities as follow: 1 -Rome; 2- Prague; 3-Bucharest; 4-Sofia; 5-Athens. 2. Find the Adjacency matrix. 3. Compute A². Explain how the ij entry of A² gives the number of routes that take exactly two flights from city i to city j. 4. Compute A3. What is the entry ij representing? 5. What is the entry of the matrix A+ A² + · · . + Ak representing? 6. What is the minimum k such that you can flight between any two cities with at most k flights? 7. The flight from Athens to Prague is pretty crucial to the company. Take away the fliight: What is the minimum k so that you can you can fly between any two cities with at most k flights?
• Prague Bucharest Rome Sofia Moditrranan S Athens Southeast Eurofly is a small airline company that flies among the following cities. 1. Build the diagraph by labelling the cities as follow: 1 -Rome; 2- Prague; 3-Bucharest; 4-Sofia; 5-Athens. 2. Find the Adjacency matrix. 3. Compute A². Explain how the ij entry of A² gives the number of routes that take exactly two flights from city i to city j. 4. Compute A3. What is the entry ij representing? 5. What is the entry of the matrix A+ A² + · · . + Ak representing? 6. What is the minimum k such that you can flight between any two cities with at most k flights? 7. The flight from Athens to Prague is pretty crucial to the company. Take away the fliight: What is the minimum k so that you can you can fly between any two cities with at most k flights?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer part 2 of this question. In desperate need of help
Transcribed Image Text:Prague
Bucharest
Blk
Rome
Sofia
Mediterrancan Sch
Athens
Southeast Eurofly is a small airline company that flies among the following cities.
1. Build the diagraph by labelling the cities as follow: 1 -Rome; 2- Prague; 3-Bucharest; 4-Sofia;
5-Athens.
2. Find the Adjacency matrix.
3. Compute A². Explain how the ij entry of A² gives the number of routes that take exactly two
flights from city i to city j.
4. Compute A³. What is the entry ij representing?
5. What is the entry of the matrix A + A² +-
+ Ak representing?
..
6. What is the minimum k such that you can flight between any two cities with at most k flights?
7. The flight from Athens to Prague is pretty crucial to the company. Take away the fliight: What
is the minimum k so that you can you can fly between any two cities with at most k flights?
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