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Full Description
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.
Contents
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.
