Logo

Linear algebra via exterior products

Linear algebra via exterior products
by

Publisher: Ludwig-Maximilians University
Number of pages: 82

Description:
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:
Download link
(1.6MB, PDF)

Similar books

Book cover: Linear Algebra: Theorems and ApplicationsLinear Algebra: Theorems and Applications
by - 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.
(4174 views)
Book cover: Linear Algebra Examples C-1: Linear equations, matrices and determinantsLinear Algebra Examples C-1: Linear equations, matrices and determinants
by - 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.
(10921 views)
Book cover: Linear Algebra, Infinite Dimensions, and MapleLinear Algebra, Infinite Dimensions, and Maple
by - 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.
(7489 views)
Book cover: n-Linear Algebra of Type IIn-Linear Algebra of Type II
by - 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.
(6488 views)