Computer Function of Sarus Rule for Calculating Determinants of nth Order

Session

Information Systems and Security

Description

In this paper, we present the calculation of the determinants based on Sarus rule. It is observed that the Sarus rule for third-order can be used even for higher orders, but the rule for the placement of the sign “+” or “-“ is different from what is currently used for the third order. During the calculations, it is noted that the rule of the placement of the mark is repeated the same pattern for each 4k order. Also, there are presented the computer functions to calculate the nth order determinants using Sarus rule.

Keywords:

Sarus rule, Determinant calculation, Classes of equivalence, Computer function

Session Chair

Naim Preniqi

Session Co-Chair

Blerton Abazi

Proceedings Editor

Edmond Hajrizi

ISBN

978-9951-550-19-2

Location

Pristina, Kosovo

Start Date

26-10-2019 1:30 PM

End Date

26-10-2019 3:30 PM

DOI

10.33107/ubt-ic.2019.68

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Oct 26th, 1:30 PM Oct 26th, 3:30 PM

Computer Function of Sarus Rule for Calculating Determinants of nth Order

Pristina, Kosovo

In this paper, we present the calculation of the determinants based on Sarus rule. It is observed that the Sarus rule for third-order can be used even for higher orders, but the rule for the placement of the sign “+” or “-“ is different from what is currently used for the third order. During the calculations, it is noted that the rule of the placement of the mark is repeated the same pattern for each 4k order. Also, there are presented the computer functions to calculate the nth order determinants using Sarus rule.