Basic Linear Algebra / Edition 2

Basic Linear Algebra / Edition 2

by T.S. Blyth, E.F. Robertson
     
 

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ISBN-10: 1852336625

ISBN-13: 9781852336622

Pub. Date: 08/26/2002

Publisher: Springer London

Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of

Overview

Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers: this will take the form of a tutorial on the use of the "LinearAlgebra" package in MAPLE 7 and will deal with all the aspects of linear algebra developed within the book.

Product Details

ISBN-13:
9781852336622
Publisher:
Springer London
Publication date:
08/26/2002
Series:
Springer Undergraduate Mathematics Series
Edition description:
2nd ed. 2002
Pages:
232
Product dimensions:
0.52(w) x 6.69(h) x 9.61(d)

Related Subjects

Table of Contents

Preface
Forward
The Algebra of Matrices
Some Applications of Matrices
Systems of Linear Equations
Invertible Matrices
Vector Spaces
Linear Mappings
The Matrix Connection
Determinants
Eigenvalues and Eigenvectors
The Minimum Polynomial
Computer Assistance
Solutions to the Exercises index

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