Linear algebra via exterior products
by Sergei Winitzki
Publisher: Ludwig-Maximilians University 2010
Number of pages: 285
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.
Download or read it online for free here:
Download link
(1.6MB, PDF)
Similar books
Linear Algebra: Theorems and Applicationsby 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.
(14211 views)
Introduction to Linear Bialgebraby W.B.V. Kandasamy, F. Smarandache, K. Ilanthenral - arXiv
This book introduced a new algebraic structure called linear bialgebra. We have ventured in this book to introduce new concepts like linear bialgebra and Smarandache neutrosophic linear bialgebra and also give the applications of these structures.
(14872 views)
Linear Algebra C-2: Geometrical Vectors, Vector Spaces and Linear Mapsby Leif Mejlbro - 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.
(17429 views)
Linear Algebra C-4: Quadratic equations in two or three variablesby Leif Mejlbro - BookBoon
The book is a collection of solved problems in linear algebra, this fourth volume covers quadratic equations in two or three variables. All examples are solved, and the solutions usually consist of step-by-step instructions.
(17591 views)