Matrices and Determinoids: Volume 2

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)

9781107620834, Cambridge University Press

Paperback / softback, published 28 March 2013

580 pages
25.4 x 17.8 x 3 cm, 0.99 kg

Originally published in 1918, 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 second volume contains further developments of the general theory, including a discussion of matrix equations of the second degree. It also contains a large number of applications to algebra and to analytical geometry of space of two, three and n dimensions.

Preface
12. Compound matrices
13. Relations between the elements and minor determinants of a matrix
14. Some properties of square matrices
15. Banks of matrix products and matrix factors
16. Equigradient transformations of a matrix whose elements are constants
17. Some matrix equations of the second degree
18. The extravagances of matrices and of spacelets in homogeneous space
19. The paratomy and orthotomy of two matrices and of two spacelets of homogeneous space
Index.

Subject Areas: History of mathematics [PBX]