Four towns, Lenox, Murray, Davis, and Terre, are connected by a series of roads. a. Represent the

Question:

Four towns, Lenox, Murray, Davis, and Terre, are connected by a series of roads.
a. Represent the number of direct road connections between the towns in a matrix, [A]. List the towns in the order Lenox, Murray, Davis, and Terre.
b. Explain the meaning of the value of a22.
c. Describe the symmetry of your matrix.
d. How many roads are there? What is the sum of the entries in the matrix? Explain the relationship between these two answers.
e. Assume any one of the roads is one-way. How does this change your matrix in 17a?