28Aug 2018

APPLICATIONS OF GENERALIZED INVERSES BOTH IN HOMOGENEOUS AND NON-HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS.

  • Assistant Professor, Department of Mathematics and Natural Sciences, BRAC University, 66 Mohakhali Dhaka ? 1212, Bangladesh.
  • Abstract
  • Keywords
  • References
  • Cite This Article as
  • Corresponding Author

This paper deals with applications of generalized inverses (g-inverses) both in homogeneous and non-homogeneous system of linear equations. General as well as particular solutions have been derived associated with g-inverses. An example is shown which gives the general solutions of a consistent system of linear equation through the help of g-inverse.


  1. M. Ahmed, Unified approach of generalized inverse and its applications, BRAC Univ. J. III (2) ?(2006), 41-45.
  2. A. Graybill, Matrices with applications in statistics, The Wadsworth Statistics/ Probability Series, Wadsworth International Group, Belmont, California, 1969.
  3. H. Moore, On the reciprocal of the general algebraic matrix, Abst. Bull. Amer. Math. Soc. (1920), 304-305.
  4. Penrose, A generalized inverse for matrices, Proc. Cambridge Philo. Soc. 51 (1955), 406-413.
  5. R. Rao and S. K. Mitra, Generalized Inverse of Matrices and its Applications, Wiley, New York, 1971.
  6. A. Rohde, Some results on generalized inverses, SIAM Rev. 8(2) (1966), 201- 205.

[Mohammad Maruf Ahmed. (2018); APPLICATIONS OF GENERALIZED INVERSES BOTH IN HOMOGENEOUS AND NON-HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS. Int. J. of Adv. Res. 6 (Aug). 1137-1143] (ISSN 2320-5407). www.journalijar.com


MOHAMMAD MARUF AHMED
BRAC University

DOI:


Article DOI: 10.21474/IJAR01/7623      
DOI URL: https://dx.doi.org/10.21474/IJAR01/7623