Basic Linear Algebra

Portada
Springer Science & Business Media, 2002 M06 26 - 232 páginas
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.
 

Páginas seleccionadas

Contenido

The Algebra of Matrices
Some Applications of Matrices
15
Systems of Linear Equations
25
Invertible Matrices
57
Vector Spaces
67
Linear Mappings
93
The Matrix Connection
111
Determinants
127
Eigenvalues and Eigenvectors
151
The Minimum Polynomial
173
Computer Assistance
181
Solutions to the Exercises
203
Index
229
Derechos de autor

Otras ediciones - Ver todas

Términos y frases comunes

Información bibliográfica