Vector Spaces: Definitions and Examples

Related lectures (28)

Page 1 of 3

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

Explores polynomial operations, properties, and subspaces in vector spaces.

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

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

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

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

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

Explores the definition and properties of vector subspaces in linear algebra.

Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.