Linear Maps: Dimension and Bases

Related lectures (30)

Page 2 of 3

Explores changing bases in vector spaces and matrix representation of linear transformations.

Explores the relationship between matrices under different bases in linear algebra.

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

Covers the concept of lines spaces and equivalent matrices in linear algebra.

Explores the concept of dual bases in linear algebra and their practical applications.

Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.

Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.

Explains kernel, image, and linear maps, illustrating concepts with examples.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers the reduction of a linear application and finding corresponding reduced forms and bases.