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Prague Bucharest Rome Sofia Midmm S Athens outheast Eurofly is a small airline company that flies among the following cities. а. Build the diagraph by labelling the cities as follow: 1 -Rome; 2- Prague; 3-Bucharest; 4-Sofia 5-Athens. b. Find the Adjacency matrix. c. 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.

Prague Bucharest Rome Sofia Midmm S Athens outheast Eurofly is a small airline company that flies among the following cities. а. Build the diagraph by labelling the cities as follow: 1 -Rome; 2- Prague; 3-Bucharest; 4-Sofia 5-Athens. b. Find the Adjacency matrix. c. 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.

Advanced Engineering Mathematics
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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Prague Bucharest Rome Sofia Medterraan Sa Athens Southeast Eurofly is a small airline company that flies among the following cities. а. Build the diagraph by labelling the cities as follow: 1 -Rome; 2- Prague; 3-Bucharest; 4-Sofia; 5-Athens. b. Find the Adjacency matrix. c. 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. d. Compute A³. What is the entry ij representing? What is the entry of the matrix A+ A² + · .. + Ak representing? е. What is the minimum k such that you can flight between any two cities with at most k flights? f. The flight from Athens to Prague is pretty crucial to the company. Take away the fliight: What d. is the minimum k so that you can you can fly between any two cities with at most k flights?
Transcribed Image Text:Prague Bucharest Rome Sofia Medterraan Sa Athens Southeast Eurofly is a small airline company that flies among the following cities. а. Build the diagraph by labelling the cities as follow: 1 -Rome; 2- Prague; 3-Bucharest; 4-Sofia; 5-Athens. b. Find the Adjacency matrix. c. 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. d. Compute A³. What is the entry ij representing? What is the entry of the matrix A+ A² + · .. + Ak representing? е. What is the minimum k such that you can flight between any two cities with at most k flights? f. The flight from Athens to Prague is pretty crucial to the company. Take away the fliight: What d. is the minimum k so that you can you can fly between any two cities with at most k flights?
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