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New scheme in determining nth order diagrams for cross multiplication method via combinatorial approach


Karim, Sharmila and Ibrahim, Haslinda and Omar, Zurni (2011) New scheme in determining nth order diagrams for cross multiplication method via combinatorial approach. World Academy of Science, Engineering and Technology, 78. pp. 915-918. ISSN 2010-376X

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Abstract

In this paper, a new recursive strategy is proposed for determining (n-1)!/2 of nth order diagrams.The generalization of nth diagram for cross multiplication method were proposed by Pavlovic and Bankier but the specific rule of determining (n-1)!/2 of the nth order diagram for square matrix is yet to be discovered.Thus using combinatorial approach(n-1)!/2 of the nth order diagrams will be presented as (n-1)!/2 starter sets. These starter sets will be generated based on exchanging one element. The advantages of this new strategy are the discarding process was eliminated and the sign of starter set is alternated to each others.

Item Type: Article
Uncontrolled Keywords: Starter sets, permutation, exchanging one element, determinant
Subjects: Q Science > QA Mathematics > QA76 Computer software
Divisions: College of Arts and Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 23 Nov 2011 08:38
Last Modified: 23 Nov 2011 08:38
URI: http://repo.uum.edu.my/id/eprint/3661

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