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: Special Set Linear Algebra and Special Set Fuzzy Linear AlgebraSpecial Set Linear Algebra and Special Set Fuzzy Linear Algebra
by - CuArt
Special Set Linear Algebras introduced by the authors in this free book is an extension of Set Linear Algebras, which are the most generalized form of linear algebras. These structures can be applied to multi-expert models.
(6436 views)
Book cover: Linear Algebra C-2: Geometrical Vectors, Vector Spaces and Linear MapsLinear Algebra C-2: Geometrical Vectors, Vector Spaces and Linear Maps
by - BookBoon
The book is a collection of solved problems in linear algebra. The second volume covers geometrical vectors, vector spaces and linear maps. All examples are solved, and the solutions usually consist of step-by-step instructions.
(9063 views)
Book cover: n-Linear Algebra of Type I and Its Applicationsn-Linear Algebra of Type I and Its Applications
by - InfoLearnQuest
n-Linear Algebra of type I introduced in this book finds applications in Markov chains and Leontief economic models. Scientists and engineers can adopt this concept in fuzzy finite element analysis of mechanical structures with uncertain parameters.
(7037 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.
(11454 views)