Vector Spaces: Basics

Related lectures (29)

Page 3 of 3

Explores vector space operations, linear transformations, matrix representation, and linear applications.

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

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.

Covers essential concepts of vectors, norms, and their properties in linear algebra.

Covers the basics of vector spaces, including addition, scalar multiplication, and zero vectors, with examples and applications.

Covers vector subspaces in R3, stability under operations, classification, and properties.

Covers the structure of vector spaces in R2 and R3, focusing on scalar multiplication and addition.