Finite Fields and Vector Spaces

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (27)

Page 1 of 3

Linear Algebra: Abstract Concepts

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Finite Fields and Vector Spaces

Explores finite fields, vector spaces, commutative groups, and field properties, highlighting their significance in coding theory and algebraic computations.

Linear Combinations and Vector Spaces

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Vector Spaces: Properties and Operations

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Vector Spaces: Definitions and Examples

Covers vector spaces, subspaces, linear independence, and spans in finite-dimensional spaces.

Vector Spaces: Definitions and Properties

Covers the definitions and properties of vector spaces, including axioms and examples.

Matrix Operations and Vector Spaces

Covers elementary matrix operations and vector spaces, including properties and conditions for invertibility.

Vector Spaces: Definition, R2

Introduces vector spaces with binary addition and scalar multiplication, exploring geometric examples in R2.

Introduction to Vector Spaces

Introduces the concept of vector spaces and covers properties of vectorial subspaces.

Introduction to Finite Fields

Covers the basics of finite fields, including arithmetic operations and properties.