Notes on Linear Algebra by Peter J. Cameron
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About this book :-
This module is a mixture of abstract theory, with rigorous proofs, and concrete calculations with matrices. The abstract component builds on the notions of subspaces and linear maps to construct the theory of bilinear forms i.e. functions of two variables which are linear in each variable, dual spaces (which consist of linear mappings from the original space to the underlying field) and determinants. The concrete applications involve ways to reduce a matrix of some specific type (such as symmetric or skew-symmetric) to as near diagonal form as possible.
On the theoretical side, it deal with vector spaces, linear maps, and bilinear forms. On the practical side, the subject is really about one thing: matrices.
Book Detail :-
This book has following details information.
Title:
Notes on Linear Algebra by Peter J. Cameron by NA
Publisher:
Queen Mary, University of London
Series:
eBooksDir
Year:
2008
Pages:
124
Type:
PDF
Language:
English
ISBN-10 #:
0198527934
ISBN-13 #:
978-0198527930
Country:
Pakistan
License:
N\A
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Vector spaces
2. Matrices and determinants
3. Linear maps between vector spaces
4. Linear maps on a vector space
5. Linear and quadratic forms
6. Inner product spaces
7. Symmetric and Hermitian matrices
8. The complex case
9. Skew-symmetric matrices
A. Fields and vector spaces
B. Vandermonde and circulant matrices
C. The Friendship Theorem
D. Who is top of the league?
E. Other canonical forms
F. Worked examples
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