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
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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

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  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.

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Cite this paper

APA

Aminu, A. (2009). On the linear systems over rhotrices. Notes on Number Theory and Discrete Mathematics, 15(4), 7-12.

Chicago

Aminu, Abdulhadi. “On the Linear Systems over Rhotrices.” Notes on Number Theory and Discrete Mathematics 15, no. 4 (2009): 7-12.

MLA

Aminu, Abdulhadi. “On the Linear Systems over Rhotrices.” Notes on Number Theory and Discrete Mathematics 15.4 (2009): 7-12. Print.

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