Abstract

28Aug 2018 APPLICATIONS OF GENERALIZED INVERSES BOTH IN HOMOGENEOUS AND NON-HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS. Mohammad Maruf Ahmed. Assistant Professor, Department of Mathematics and Natural Sciences, BRAC University, 66 Mohakhali Dhaka ? 1212, Bangladesh.

Highlights

  • 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 Keywords:consistent, hermitian, row-echelon, help of g-inverse

  • When the ordinary inverse of a square matrix cannot be used for the solution of the linear equations, we can use the g-inverse and M-P g-inverse of the singular or rectangular matrices for the solutions of the systems of linear equations

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Summary

Introduction

When the ordinary inverse of a square matrix cannot be used for the solution of the linear equations, we can use the g-inverse and M-P g-inverse of the singular or rectangular matrices for the solutions of the systems 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 Keywords:consistent, hermitian, row-echelon, help of g-inverse.

Results
Conclusion

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