Modified Cramer’s Rule and its Application to Solve Linear Systems in WZ Factorization

Authors

  • Olayiwola Babarinsa School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia. Department of Mathematical Sciences, Federal University Lokoja, P.M.B 1154, Nigeria. http://orcid.org/0000-0002-3569-0828
  • Hailiza Kamarulhaili School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia

DOI:

https://doi.org/10.11113/matematika.v35.n1.1073

Abstract

The proposed modified methods of Cramer's rule consider the column vector as well as the coefficient matrix concurrently in the linear system. The modified methods can be applied since Cramer's rule is typically known for solving the linear systems in $WZ$ factorization to yield Z-matrix. Then, we presented our results to show that there is no tangible difference in performance time between Cramer's rule and the modified methods in the factorization from improved versions of MATLAB. Additionally, the Frobenius norm of the modified methods in the factorization is better than using Cramer's rule irrespective of the version of MATLAB used.

Author Biography

Olayiwola Babarinsa, School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia. Department of Mathematical Sciences, Federal University Lokoja, P.M.B 1154, Nigeria.

DEPARTMENT OF MATHEMATICAL SCIENCES

FEDERAL UNIVERSITY LOKOJA

 

LECTURER

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Published

2019-04-01

How to Cite

Babarinsa, O., & Kamarulhaili, H. (2019). Modified Cramer’s Rule and its Application to Solve Linear Systems in WZ Factorization. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 35(1), 25–38. https://doi.org/10.11113/matematika.v35.n1.1073

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Articles