Matrices and Determinoids: Volume 1

This 1913 book forms part of a three-volume work dealing with rectangular matrices and determinoids as distinguished from square matrices and determinants.

C. E. Cullis (Author)

9781107655553, Cambridge University Press

Paperback / softback, published 28 March 2013

444 pages
25.4 x 17.8 x 2.3 cm, 0.77 kg

Originally published in 1913, 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 first volume contains the most fundamental portions of the theory and concludes with the solution of any system of linear algebraic equations, which is treated as a special case of the solution of a matrix equation of the first degree.

Preface
1. Introduction of rectangular matrices and determinoids
2. Affects of the elements and derived products of a matrix or determinoid
3. Sequences and the affects of derived sequences
4. Affects of derived matrices and derived determinoids
5. Expansions of a determinoid
6. Properties of a product formed by a chain of matrix factors
7. Determinoid of a product formed by a chain of matrix factors
8. Matrices of minor determinants
9. Bank of a matrix and connections between the rows of a matrix
10. Matrix equations of the first degree
11. Solution of any system of linear algebraic equations
Index.

Subject Areas: History of mathematics [PBX]