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[Solved] Assume the Boolean matrix below is M R and that M R represents the relation R where R represents the connecting flights that an airline has between

Question: Assume the Boolean matrix below is M R and that M R represents the relation R where R represents the connecting flights that an airline has between 4 cities: a, b, c, and d. so there is a 1 in row x column y iff there is a connecting flight between (from) city x and (to) city y That is, the rows of the matrix represent the cities of the origins of the flight and the columns

represent the destination cities.

  1. Let a stand for the airport in the city of Manchester, let b stand for the airport in Boston, c stand for the Chicago airport, d for the airport in the city of Denver. Is there a flight from Manchester to Chicago?
  2. Compute and interpret the Boolean products: M R 2 , and M R 3 . (Remember to use Boolean arithmetic). What do these Boolean products give you?
  3. Now call the given matrix A and compute A 2 and A 3 using regular not Boolean arithmetic. What do these products give you?

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