This Maplet is designed to illustrate applications of linear algebra to graph theory, specifically to cliques and tournaments. It could be used in a classroom demonstration. Whenever I am teaching Linear Algebra I find there is not enough time to cover the marvelous applications at the back of the "Elementary Linear Algebra" text by Anton and Rorres. I wrote this maplet with the hope of demonstrating the application to graph theory in the classroom. Perhaps, other instructors have a similar dilemma. I hope it has some merit.