Linear algebra via exterior products
by Sergei Winitzki
Publisher: Ludwig-Maximilians University 2009
Number of pages: 82
A pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the elementary array-based formalism of vector and matrix calculations. In this book, the author makes extensive use of the exterior product of vectors. He shows how the standard properties of determinants, the Liouville formula, the Hamilton-Cayley theorem, and Pfaffians, as well as some results concerning eigenspace projectors can be derived without cumbersome matrix calculations.
Home page url
Download or read it online for free here:
by Hassan Abid Yasser (ed.) - InTech
This book contains selected topics in linear algebra, which represent the recent contributions in the field. It includes a range of theorems and applications in different branches of linear algebra, such as linear systems, matrices, operators, etc.
by Leif Mejlbro - BookBoon
The book is a collection of solved problems in linear equations, matrices and determinants. All examples are solved, and the solutions consist of step-by-step instructions, and are designed to assist students in methodically solving problems.
by James V. Herod - Georgia Tech
These notes are about linear operators on Hilbert Spaces. The text is an attempt to provide a way to understand the ideas without the students already having the mathematical maturity that a good undergraduate analysis course could provide.
by W. B. V. Kandasamy, F. Smarandache - InfoLearnQuest
This book is a continuation of the book n-linear algebra of type I. Most of the properties that could not be derived or defined for n-linear algebra of type I is made possible in this new structure which is introduced in this book.