Systems of Linear Equations and Generalized Inverse

  • Richard M. Meyer
Part of the Universitext book series (UTX)


A useful application of the results of the preceding Section will now be made. We will consider first the general solutions to systems of linear homogeneous equations, and then that of systems linear non-homogeneous equations. These results will then be used in finding a so-called generalized inverse of a matrix.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References to Additional and Related Material: Section 16

  1. 1.
    Ben-Israel, A. and T. Greville, “Generalized Inverses: Theory and Applications”, Wiley and Sons, Inc., New York (1974).zbMATHGoogle Scholar
  2. 2.
    Bose, R., Unpublished Lecture Notes, University of North Carolina at Chapel Hill (1964).Google Scholar
  3. 3.
    Boullion, T. and P. Odell, “Generalized Inverse Matrices”, Wiley-Interscience, (1971).Google Scholar
  4. 4.
    Cullen, C., “Matrices and Linear Transformations”, Addison-Wesley, Inc. (1966).zbMATHGoogle Scholar
  5. 5.
    Johnston, J., “Linear Equations and Matrices”, Addison-Wesley, Inc. (1966).zbMATHGoogle Scholar
  6. 6.
    Pease, M., “Methods of Matrix Algebra”, Academic Press (1965).Google Scholar
  7. 7.
    Pipes, L., “Matrix Methods for Engineers”, Prentice-Hall, Inc. (1963).Google Scholar
  8. 8.
    Paige, L. and O. Taussky (Editors), “Simultaneous Linear Equations and the Determination of Eigenvalues”, National Bureau of Standards, Applied Mathematics Series No. 29, Washington, D. C. (1953).Google Scholar
  9. 9.
    Pringle, P. and A. Rayner, “Generalized Inverse Matrices with Applications to Statistics”, Griffin Monograph 28 (1971).Google Scholar
  10. 10.
    Rao, C. and S. Mitra, “Conditional Inverse of Matrices and its Applications”, John Wiley and Sons, Inc. (1971).Google Scholar
  11. 11.
    Wilkenson, J. and C. Reinsch, “Linear Algebra”, Springer-Verlag, New York (1971).Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Richard M. Meyer
    • 1
  1. 1.Niagara University, College of Arts and SciencesNiagara UniversityUSA

Personalised recommendations