Construction New Types of Matrices

Abedal-Hamza Mahdi Hamza; Hussein Ali Hussein

doi:https://doi.org/10.14445/22315373/IJMTT-V24P512

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 24 | Number 2 | Year 2015 | Article Id. IJMTT-V24P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V24P512

Construction New Types of Matrices

Abedal-Hamza Mahdi Hamza, Hussein Ali Hussein

Citation :

Abedal-Hamza Mahdi Hamza, Hussein Ali Hussein, "Construction New Types of Matrices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 24, no. 2, pp. 84-91, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V24P512

Abstract

In this paper, we introduced new types of matrices. We called them h-orthogonal matrix and h-unitary matrix depend on h-transpose. We discussed the properties of these matrices such as, their eigenvalues and determinants. These matrices preserve the length and the inner product.

Keywords

Orthogonal matrix, unitary matrix, eigenvalues.

References

[1] Hoffman K. , Linear Algebra ,2nd Ed.,Printce-Hall,1971.
[2] Kolman B. ,Linear Algebra, 9th Ed. , Printce-Hall, 2008.
[3] Meyer C. D., Matrix Analysis and Applied Linear Algebra, Siam, 2000.