Lectures related to Linear Applications: Kernel

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

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers kernels and images of linear transformations between vector spaces.

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

Explores linear independence in vector spaces and the concept of bases.

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

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

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Covers the method to calculate the images of vectors in a given base.