Given two matrices and , explain why the sentence "Multiply the matrices and together." is ambiguous. How could you re-write the sentence in order to eliminate the ambiguity?
Figure42.Adjacency map, showing roads between 5 cities
An adjacency matrix for this map is a matrix that has the number of roads from city to city in the entry of the matrix. A road is a path of length exactly 1. All entries are 0. Write the adjacency matrix for this map, with the cities in alphabetical order.
What does the square of this matrix tell you about the map? The cube? The -th power?