Matrices and Determinoids: Volume 1


Book Description

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.




Matrices and Determinoids


Book Description




Matrices and Determinoids..


Book Description

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.




MATRICES & DETERMINOIDS


Book Description




Matrices and Determinoids: Volume 2


Book Description

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.




Matrices and Determinoids, Vol. 2 (Classic Reprint)


Book Description

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.




Determinants and Matrices


Book Description

This book contains a detailed guide to determinants and matrices in algebra. It offers an in-depth look into this area of mathematics, and it is highly recommended for those looking for an introduction to the subject. "Determinants and Matrices" is not to be missed by collectors of vintage mathematical literature. Contents include: "Linear Equations and Transformations", "The Notation of Matrices", "Matrices, Row and Column Vectors, Sealers", "The Operations of Matrix Algebra", "Matrix Pre- and Postmultiplication", "Product of Three or More Matrices", "Transposition of Rows and Columns", "Transpose of a Product: Reversal Rule", etc. Many vintage books such as this are becoming increasingly scarce and expensive. It is with this in mind that we are republishing this volume now in a modern, high-quality edition complete with the original text and artwork.




Matrices and Determinoids, Vol. 1 (Classic Reprint)


Book Description

Excerpt from Matrices and Determinoids, Vol. 1 If m and n are unequal, either a vertical row contains more elements than a horizontal row, or a horizontal row contains more elements than a vertical row. Those rows, horizontal or vertical, which contain the greater number of elements will be called long rows, and the other rows will be called short rows. The number of long rows is equal to the efficiency of the matrix. In the special case in which m and n are equal the matrix will be called a square matrix. A square matrix has only one order, which is also its efficiency, and in it either set of parallel rows may be regarded as long rows. 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.




Matrices and Determiniods: Volume 3


Book Description

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.




Matrices and Determinoids; Volume 2


Book Description

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.