Show the graph that corresponds to the following matrix, 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 show 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? 

[0  0  0  0  1

 1  0  0  0  0

 0  0  1  1  0

 0  0  1  0  0  

 1  0  1  0  1]