Linear Algebra: Systems and Subspaces

Related lectures (27)

Page 2 of 3

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

Covers linear applications, matrices, and vector spaces, emphasizing the concept of linear independence.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Covers linear independence, bases, change of basis, and vector representation.

Explores linear applications in 3D, emphasizing images, kernels, and solution uniqueness in systems.

Introduces the kernel of a linear application and its properties.

Explores unique solutions, linear dependence, canonical bases, and linear maps in linear algebra.

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

Covers the Rank Theorem in linear algebra, focusing on vector spaces and linear applications.

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.