Chapter 6: Systems of Linear Equations and Matrices 332 CHAPTER 6 Systems of Linear Equations and Matrices 4. Suppose that Vacation Air is an airline serving Jacksonville, Orlando, West Palm Beach, Miami, and Tampa, Florida. The route map is given in Figure 2. Produce an adjacency matrix B for this map, listing the cities in the order given. 5. Find B², the square of the adjacency matrix found in Exercise 4. What does this matrix tell you? 6. Find B + B². What can you conclude from this calculation? Jacksonville Orlando Tampa Miami West Palm Beach Figure 2 Vacation Air route map
Chapter 6: Systems of Linear Equations and Matrices 332 CHAPTER 6 Systems of Linear Equations and Matrices 4. Suppose that Vacation Air is an airline serving Jacksonville, Orlando, West Palm Beach, Miami, and Tampa, Florida. The route map is given in Figure 2. Produce an adjacency matrix B for this map, listing the cities in the order given. 5. Find B², the square of the adjacency matrix found in Exercise 4. What does this matrix tell you? 6. Find B + B². What can you conclude from this calculation? Jacksonville Orlando Tampa Miami West Palm Beach Figure 2 Vacation Air route map
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 question 4,5 with the following modification listen on the screenshot!
Transcribed Image Text:332
Chapter 6: Systems of Linear Equations and Matrices
CHAPTER 6 Systems of Linear Equations and Matrices
4. Suppose that Vacation Air is an airline serving Jacksonville,
Orlando, West Palm Beach, Miami, and Tampa, Florida. The
route map is given in Figure 2. Produce an adjacency matrix B
for this map, listing the cities in the order given.
5. Find B², the square of the adjacency matrix found in Exercise 4.
What does this matrix tell you?
6. Find B + B². What can you conclude from this calculation?
Jacksonville
Orlando
Tampa
Miami
West Palm
Beach
Figure 2 Vacation Air route map
Transcribed Image Text:Modifications
Question 2 - no modifications, answer the stated question
Question 4 - format should match the matrix A on page 331, using the cities ordered as described
Question 5 - show the matrix and show specific calculation for one entry in the squared matrix
Question 6 Show the matrix you found and answer the question stated.
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Follow-up Question
I could be wrong here or maybe you might of done it wrong but should the last row with tampa be [1 1 1 1 0]
You put [1 1 1 1 1], the last one would be tampa to tampa and i thought that wasnt possible?
Solution
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