Vector Space over Fields

Part 1 of ebook "The linear algebra a beginning graduate student ought to know (Third edition)" provides readers with contents including: Chapter 1 - Notation and terminology; Chapter 2 - Fields; Chapter 3 - Vector spaces over a field; Chapter 4 - Algebras over a field; Chapter 5 - Linear independence and dimension; Chapter 6 - Linear transformations; Chapter 7 - The endomorphism algebra of a vector space; Chapter 8 - Representation of linear transformations by matrices; Chapter 9 - The algebra of square matrices; Chapter 10 - Systems of linear equations;...

233p mothoiphong 28-06-2024 4 1   Download

Ebook Linear Algebra: Part 1 presents the following content: Vector Space over Fields; Vector Subspaces; Bases and Dimensions of Vector Spaces; Summary of Row-Equivalence; Computation Concerning Subspaces; Representation of Transformations by Matrices;...Please refer to the documentation for more details.

193p chankora 16-06-2023 4 1   Download

Then we use modular symmetry classes of tensors to study the polynomial representations of GL(V ), where V is a vector space over a field of characterisitic p. At the end we introduce a non-degenerate bilinear form on a modular symmetry class. Some problems are also given.

17p tuongvidanh 06-01-2019 24 1   Download

Implementation of the cryptographic algorisms based on elliptic curves (ECs) over VFFs provides significantly higher performance than the implementation of the EC-based algorithms, in which the ECs are defined over the ground fields and extension finite fields of polynomials.

6p dunglh2013 02-04-2014 56 0   Download