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Matrices and Determiniods

Matrices and Determiniods

Volume 3

Part 1

  • Date Published: June 2013
  • availability: Available
  • format: Paperback
  • isbn: 9781107414266


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About the Authors
  • Originally published in 1925, this book forms part of a three-volume work created to expand upon the content of a series of lectures delivered at the University of Calcutta during the winter of 1909–10. The chief feature of all three volumes is that they deal with rectangular matrices and determinoids as distinguished from square matrices and determinants, the determinoid of a rectangular matrix being related to it in the same way as a determinant is related to a square matrix. An attempt is made to set forth a complete and consistent theory or calculus of rectangular matrices and determinoids. The third volume was originally intended to be divided into two parts, but the second section was never published. The part that made it into print deals chiefly with applications to vector analysis and the theory of invariants.

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    Product details

    • Date Published: June 2013
    • format: Paperback
    • isbn: 9781107414266
    • length: 700 pages
    • dimensions: 254 x 178 x 36 mm
    • weight: 1.2kg
    • availability: Available
  • Table of Contents

    20. The irresoluble and irreducible factors of rational integral functions
    21. Resultants and eliminants of rational integral functions and equations
    22. Symmetric functions of the elements of similar sequences
    23. The potent divisors of a rational integral functional matrix
    24. Equipotent transformations of rational integral functional matrices
    25. Rational integral functions of a square matrix
    26. Equimutant transformations of a square matrix whose elements are constants
    27. Commutants
    28. Commutants of commutants
    29. Invariant transformands
    Appendix A. Rational integral functions of a matrix which is not square
    Appendix B. Some properties of a standardised general compound slope M
    Appendix C. Weierstrauss's and Kronecker's reductions of a matrix which is homogeneous and linear in two scalar variables or linear in a single scalar variable

  • Author

    C. E. Cullis

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