Linear Applications: Kernel and Preimage (Part 2)

Related lectures (30)

Page 3 of 3

Covers the basics of linear mapping and coordinate systems.

Covers the main theorem of linear algebra and the conditions for injectivity.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Covers the Rank Theorem in linear algebra, focusing on vector spaces and linear applications.

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

Explores linear transformations, matrices, kernels, and images in algebra.

Covers kernels and images of linear transformations between vector spaces.

Explores linear applications, vector spaces, kernels, and invertibility in linear algebra.

Covers isomorphism, dimension, bases, and rank in linear transformations between vector spaces.

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