Matrix Algebra: Exercises and Solutions by David A Harville

Matrix Algebra: Exercises and Solutions by David A Harville

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Summary

These are standard terms, but their use herein (and in Matrix Algebra From a Statistician's Perspective) is restricted to real numbers and to rectangular arrays of real numbers, whereas in various other presentations, a scalar may be a complex number or more generally a member of a field, and a matrix may be a rectangular array of such entities.

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Matrix Algebra: Exercises and Solutions by David A Harville

This book contains over 300 exercises and solutions that together cover a wide variety of topics in matrix algebra. The exercises are those from an earlier book by the same author entitled Matrix Algebra From a Statistician's Perspective.

From the reviews of the first edition:

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

"…written as a companion to his earlier book titled MATRIX ALGEBRA FROM A STATISTICIAN’S PERSPECTIVE…this is not just a solutions manualWith 15 pages of definitions and terminology and another 5 pages of notations, the book can be used as an independent reader on advanced topics in linear algebra…when used in conjunction with his earlier book, provides a more in-depth second course on this topic."

"This book collects the exercises from the author’s Matrix algebra from a statistician’s perspective, (Springer 1997) and includes their solutions. … It can be used as a stand-alone book with an inspiring collection of exercises … ." (Adhemar Bultheel, Simon Stevin Bulletin, Vol. 10 (2), 2003)

"The author has collected well over 300 exercises from his earlier book Matrix Algebra From a Statistician’s Perspective into a separate volume and he added solutions. The book also contains extensive and detailed summaries of the relevant terminology and notation. … It will be very useful for any teacher of a linear algebra course as a source of exercises of various levels of difficulty." (European Mathematical Society Newsletter, December, 2003)

"This book comprises well over 300 exercises in (real) matrix algebra and their solutions. … it represents a valuable resource for any reader trying to gain some practice in the concepts of matrix algebra and looking for suitable exercises accompanied by solutions." (A. Kräuter, Internationale Mathematische Nachrichten, Vol. 57 (193), 2003)

"This book is a supplement to the author’s previous book (Harville 1997) and contains the solutions to more than three-hundred exercises taken from it. … This book is especially useful for anyone interested in dealing with proof techniques and tricks concerning matrix algebra. … For everybody who finds pleasure in reading and learning from Harville’s text, this book will have a similar effect and should be viewed as a very useful supplement." (Jürgen Groß, Statistical Papers, Vol. 43 (4), 2002)

David A. Harville is a research staff member in the Mathematical Sciences Department of the IBM T.J.Watson Research Center. Prior to joining the Research Center he spent ten years as a mathematical statistician in the Applied Mathematics Research Laboratory of the Aerospace Research Laboratories (at Wright-Patterson, FB, Ohio, followed by twenty years as a full professor in the Department of Statistics at Iowa State University. He has extensive experience in the area of linear statistical models, having taught (on numberous occasions) M.S.and Ph.D.level courses on that topic, having been the thesis adviser of 10 Ph.D. students, and having authored over 60 research articles. His work has been recognized by his election as a Fellow of the American Statistical Association and the Institute of Mathematical Statistics and as a member of the International Statistical Institute and by his having served as an associate editor of Biometrics and of the Journal of the American Statistical Associatio
SKU Unavailable
ISBN 13 9780387953182
ISBN 10 0387953183
Title Matrix Algebra: Exercises and Solutions
Author David A Harville
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag New York Inc.
Year published 2001-09-06
Number of pages 271
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.