Matrix Algebra An Introduction

ISBN-10: 0803920520

ISBN-13: 9780803920521

Edition: 1984

Authors: Krishnan Namboodiri

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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.
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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
Rectangular Arrays
Equality of Matrices
Addition and Subtraction of Matrices
Multiplication by a Scalar
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
Simultaneous Linear Equations
The Full-Rank Case
The Less Than Full-Rank Case and the Generalized Inverse
Homogeneous Equations
Eigenvalues and Eigenvectors
Eigenvalues and Eigenvectors
Principal Components
Symmetric Matrices
About the Author
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