Matrix Algebra for Applied Economics / Edition 1

Matrix Algebra for Applied Economics / Edition 1

ISBN-10:
0471322075
ISBN-13:
9780471322078
Pub. Date:
09/13/2001
Publisher:
Wiley
ISBN-10:
0471322075
ISBN-13:
9780471322078
Pub. Date:
09/13/2001
Publisher:
Wiley
Matrix Algebra for Applied Economics / Edition 1

Matrix Algebra for Applied Economics / Edition 1

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Overview

Coverage of matrix algebra for economists and students ofeconomics

Matrix Algebra for Applied Economics explains the important tool ofmatrix algebra for students of economics and practicing economists.It includes examples that demonstrate the foundation operations ofmatrix algebra and illustrations of using the algebra for a varietyof economic problems.

The authors present the scope and basic definitions of matrices,their arithmetic and simple operations, and describe specialmatrices and their properties, including the analog of division.They provide in-depth coverage of necessary theory and deal withconcepts and operations for using matrices in real-life situations.They discuss linear dependence and independence, as well as rank,canonical forms, generalized inverses, eigenroots, and vectors.Topics of prime interest to economists are shown to be simplifiedusing matrix algebra in linear equations, regression, linearmodels, linear programming, and Markov chains.

Highlights include:
* Numerous examples of real-world applications
* Challenging exercises throughout the book
* Mathematics understandable to readers of all backgrounds
* Extensive up-to-date reference material

Matrix Algebra for Applied Economics provides excellent guidancefor advanced undergraduate students and also graduate students.Practicing economists who want to sharpen their skills will findthis book both practical and easy-to-read, no matter what theirapplied interests.

Product Details

ISBN-13: 9780471322078
Publisher: Wiley
Publication date: 09/13/2001
Series: Wiley Series in Probability and Statistics , #349
Pages: 432
Product dimensions: 6.36(w) x 9.69(h) x 0.99(d)

About the Author

SHAYLE R. SEARLE, PhD, is Professor Emeritus of Biometry at CornellUniversity. He is the author of Linear Models, Linear Models forUnbalanced Data, Matrix Algebra Useful for Statistics, and also(with C. E. McCulloch) Generalized, Linear, and Mixed Models, allfrom Wiley.

LOIS SCHERTZ WILLETT, PhD, is Professor of Food and ResourceEconomics at the University of Florida. She is the author ofnumerous scientific publications on economic markets and priceanalysis and has won several teaching awards for her instruction ineconomics, econometrics, and other quantitative analysis courses.

Table of Contents

List of Chapters.

Preface.

BASICS.

Introduction.

Basic Matrix Operations.

Special Matrices.

Determinants.

Inverse Matrices.

NECESSARY THEORY.

Linearly (IN)Dependent Vectors.

Rank.

Canonical Forms.

Generalized Inverses.

Solving Linear Equations.

Eigenroots and Eigenvectors.

Miscellanea.

WORKING WITH MATRICES.

Applying Linear Equations.

Regression Analysis.

Linear Statistical Models.

Linear Programming.

Markov Chain Models.

References.

Index.
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