Lectures related to Linear Transformation: Matrix Determination and Subspaces

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

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

Discusses linear applications between vector spaces and properties of endomorphisms and automorphisms.

Covers the basics of linear mapping and coordinate systems.

Explores forming bases, dependencies, and relationships in linear applications using invertible matrices and canonical bases.

Introduces the kernel of a linear application and its properties.

Covers linear applications, matrices, transformations, and the principle of superposition.