Linear Transformations: Dimension Theorems

Related lectures (27)

Page 2 of 3

Covers various examples and general concepts related to linear applications in algebra.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

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

Covers kernels and images of linear transformations between vector spaces.

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

Covers bijective linear maps, invertibility of matrices, isomorphisms, and the rank theorem.

Introduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.

Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.

Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

Explores the Kernel-Image Theorem, bijectivity conditions, linear forms, and surjectivity in linear algebra.