This classic textbook provides a comprehensive treatment of matrices and determinoids. It covers a wide range of topics, from the basics of matrix algebra to the properties of determinants and applications of matrices in linear transformations. The author employs a rigorous and systematic approach to the subject matter, making this book a must-read for anyone interested in the topic. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This 1913 book forms part of a three-volume work dealing with rectangular matrices and determinoids as distinguished from square matrices and determinants. The second volume contains further developments of the general theory, including a discussion of matrix equations of the second degree.

Excerpt from Matrices and Determinoids, Vol. 2 HE author's chief aim in writing this book was to give a systematic account of certain applications of matrices, particularly of, rectangular matrices as distinguished from square matrices, and thereby to illustrate the very great advantages gained by using them in almost all branches of Mathematics. It originated in a habit of using matrices freely in, the solu tion of problems in Algebra, Geometry and Applied Mathematics, and is based on the very extensive manuscript acquired in doing so. To give a satisfactory answer to the frequently propounded question 'what is a matrix it seemed advisable to commence with some account of the theory. Accordingly the course of Readership Lectures in which this work was first made public was divided into two halves, the first half dealing with the theory, and the second half with the applications. The theoretical portion has, been constantly increased, in the first place by abstractions from the applications, and in the second place by incorporating the work of other writers. As a consequence the applications have been driven further back, though they still remain the ultimate object of the book. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

This 1913 book forms part of a three-volume work dealing with rectangular matrices and determinoids as distinguished from square matrices and determinants. The first volume contains the most fundamental portions of the theory and concludes with the solution of any system of linear algebraic equations.