The ranking method is based on linear algebra. In order to apply the method to a sport, an adequate mathematical model must be defined. We have to take a set of competitors. Within this set, all competitors must compete against each other therefore, a winner and a loser are obtained in every match. Competitors can also play several matches against each other. Victories and defeats will be marked using the incidence matrix - number one represents a victory and zero represents a defeat. The course of the game can also be illustrated by a directed graph. The beginning of the connection represents the winner of the duel, and the end of the connection represents the loser. The vertices are represented by the players. The result of each athlete is obtained as a solution of the corresponding system of linear equations. When choosing a sport, we must pay attention to the fact that the game does not end in a tie, otherwise the ranking method cannot be applied. The stated parameters and conditions are satisfied by the sport on which I applied the described method. The chosen sport is parallel snowboarding. In the second part of the thesis I describe and analyze the obtained results.
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