Matrix of the first problem

0 1 0 0 0

0 0 0 1 0

0 0 1 1 0

0 0 0 0 1

0 0 1 0 1

Show the graph that corresponds to the matrix in the first problem assuming the rows and

columns correspond to the vertices a, b, c, d and e. Show its condensation graph, renaming its

vertices. Determine any topological order of that graph and create an adjacency matrix with

the vertices ordered in that topological order. Finally compute the reflexive-transitive closure

of that matrix. What characteristic of that matrix indicates that it defines a total order?