Lectures related to Linear Applications: Definitions and Properties

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

Revisits bases of the image and kernel in linear algebra, focusing on linear transformations between finite-dimensional vector spaces.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores the bijectivity criterion in linear algebra and its implications.

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

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.