1. Thus, for the above example, the incidence matrix is simply 2. The line line matrix can be obtained from the incidence matrix . 3. This concerns the time in which the incidence matrix can be generated. 4. Thus the corresponding incidence matrix of this abstract polytope may be shown as: 5. It affects the incidence matrix by negating the rows of the switched vertices. 6. In turn, the incidence matrix can be seen also as describing a hypergraph. 7. An incidence matrix is not uniquely determined since it depends upon the arbitrary ordering of the points and the lines. 8. The incidence matrix of block designs provide a natural source of interesting block codes that are used as error correcting codes. 9. For example, the relation " contains " in the detailed example above can be represented by a 6? incidence matrix : 10. The generalized incidence matrix for such hypergraphs is, by definition, a square matrix, of a rank equal to the total number of vertices plus edges.