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: Applied Linear Algebra in ActionApplied Linear Algebra in Action
by - InTech
Topics: Matrices, Moments and Quadrature; Structured Approaches to General Inverse Eigenvalue Problems; Eigenvalue Problems; Nonnegative Inverse Elementary Divisors Problem; Some Recent Advances in Nonlinear Inverse Scattering in 2D; and more.
(3615 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.
(12026 views)
Book cover: Grassmann AlgebraGrassmann Algebra
by
The primary focus of this book is to provide a readable account in modern notation of Grassmann's major algebraic contributions to mathematics and science. It should be accessible to scientists and engineers, students and professionals alike.
(10942 views)
Book cover: Set Linear Algebra and Set Fuzzy Linear AlgebraSet Linear Algebra and Set Fuzzy Linear Algebra
by - InfoLearnQuest
Set linear algebras, introduced by the authors in this book, are the most generalized form of linear algebras. These structures make use of very few algebraic operations and are easily accessible to non-mathematicians as well.
(8426 views)