On the linear systems over rhotrices

Abdulhadi Aminu
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 15, 2009, Number 4, Pages 7–12
Full paper (PDF, 147 Kb)

Details

Authors and affiliations

Abdulhadi Aminu
Department of Mathematical Sciences
Kano University of Science and Technology, Wudil
P.M.B 3244, Kano, Nigeria

Abstract

Let A, B and C be rhotrices. In this paper we investigate systems of the form AB = C and come up with conditions necessary for their solvability. We also outline a direct procedure for computing an n-th root of a rhotrix.

Keywords

• Rhotrix
• Linear system
• Heart of a rhotrix

References

1. A.O. Ajibade, The concept of rhotrix in mathematical enrichment, Int. J. Math. Educ. Sci.Technol.34 (2003) , pp 175-179.
2. A. Aminu, The equation Rnx=b over rhotrices, Int. J. Math. Educ. Sci. Technol. (to appear)
3. A. Aminu, Rhotrix vector spaces, Int. J. Math. Educ. Sci. Technol. (to appear)
4. K.T. Atanassov, A.G. Shannon, Matrix-tertions and matrix noitrets: exercises in mathematical enrichment, Int. J. Math. Educ. Sci. Technol. 29 (1998), pp 898-903
5. R. W. Farebrother, Square Root of a Real Symmetric 3×3 Matrix, Image 42 (2009), pp29
6. B. Sani, An alternative method for multiplication of rhotrices, Int. J. Math. Educ. Sci. Technol. 35 (2004), pp 777-781.
7. B. Sani, The row-column multiplication for high dimensional rhotrices, Int. J. Math. Educ. Sci. Technol. 38 (2007) pp 657-662.
8. B. Sani, Conversion of a rhotrix to a coupled matrix, Int. J. Math. Educ. Sci. Technol. 39 (2008) pp 244-249.