Matrix Algebra An Introduction

Name: Matrix Algebra An Introduction
Price: 4.2 USD
Availability: InStock
ISBN: 9780803920521

ISBN-10: 0803920520

ISBN-13: 9780803920521

Edition: 1984

Authors: Krishnan Namboodiri

List price: $18.00

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Description:

Matrix algebra is a vital tool for mathematics in the social sciences, and yet many social scientists have only a rudimentary grasp of it. This volume serves as a complete introduction to matrix algebra, requiring no background knowledge beyond basic school algebra. Namboodiri's presentation is smooth and readable: it begins with the basic definitions and goes on to explain elementary manipulations and the concept of linear dependence, eigenvalues, and eigenvectors -- supplying illustrations through fully-worked examples of each.

Book details

List price: $18.00
Copyright year: 1984
Publisher: SAGE Publications, Incorporated
Publication date: 7/1/1984
Binding: Paperback
Pages: 96
Size: 5.50" wide x 8.75" long x 0.25" tall
Weight: 0.242
Language: English



Series Editor's Introduction



Introduction


Rectangular Arrays


Equality of Matrices


Addition and Subtraction of Matrices


Multiplication by a Scalar


Vectors


Vector Representation of a System of Linear Equations


Inner Products


Matrix-Vector Multiplication


Matrix Multiplication


Examples of the Use of Matrix Multiplication


The Identity Matrix



Elementary Operations and the Inverse of a Matrix


Elementary Operations


Echelon Matrices


The Inverse of a Square Matrix


A Procedure to Calculate the Inverse of a Matrix If It Exists


Application of the Inverse of a Matrix to the Solution of a System of Equations


Application in Regression Analysis


Application in Input-Output Analysis



More About Simultaneous Linear Equations


Linear Dependence Among a Set of Vectors


The Rank of a Matrix


Examples


Simultaneous Linear Equations


The Full-Rank Case


The Less Than Full-Rank Case and the Generalized Inverse


Homogeneous Equations



Eigenvalues and Eigenvectors


Determinants


Eigenvalues and Eigenvectors


Principal Components


Symmetric Matrices


References


About the Author