Linear Algebra: Theorems and Examples

Related lectures (27)

Page 2 of 3

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

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.

Covers parametric to Cartesian representation, linear independence, bases, linear transformations, and linear applications.

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.

Explores linear algebra fundamentals, including key definitions, theorems, and practical applications in mathematics and technology.

Explores vector spaces, linear independence, and spanning sets in linear algebra.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Covers vector spaces, subspaces, linear combinations, and independence concepts with illustrative examples.

Explores vector space properties, operations, linear combinations, and subspaces construction.

Covers linear dependence, independence, and applications in vector spaces.