Commutative Matrices

Biswanath Rath

doi:https://doi.org/10.14445/22315373/IJMTT-V60P530

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 60 | Number 3 | Year 2018 | Article Id. IJMTT-V60P530 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P530

Commutative Matrices

Biswanath Rath

Citation :

Biswanath Rath, "Commutative Matrices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 3, pp. 191-194, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P530

Abstract

We propose a method to generate an infinite class of commutative matrices having dimension(NxN) (N=2,3) corresponding to different eigenvalues. Further we also correlate this product with spectral symmetry. However the product loses its symmetry nature in eigenfunction under the influence of a new matrix having the same dimension. Mathematics Classification(2010):14A05;15A18;15A83;97Exx;97H60.

Keywords

commutative nature, matrix multiplication, unequal matrices, spectral analysis

References

[1] Erwin Kreyszic "Advanced Engineering Mathematics" John Wiley anD Sons.Inc (2011) (India Reprint)
[2] B.Rath, Int.J.Math.Thends.Tech.59(3),171(2018).
[3] B.Rath, Int.J.Math.Trends.Tech.60(1),41(2018).