Endomorphisms: Matrix Equivalence

Related lectures (29)

Page 3 of 3

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Explores the properties of linear transformations through step-by-step calculations and matrix manipulations.

Introduces vector spaces, linear applications, generators, and dimensionality in mathematics.

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

Explains kernel, image, and linear maps, illustrating concepts with examples.

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

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

Covers the concepts of kernel and image of a linear application in linear algebra.