Change of Basis, Passage Matrices

This lecture covers the concept of change of basis and passage matrices in linear algebra, focusing on endomorphisms, linear transformations, and operators. It explains how to define passage matrices between different bases, illustrating with examples in R³. Properties of passage matrices are discussed, including invertibility and their relationship with linear transformations. The lecture concludes with examples of orthogonal symmetry transformations, demonstrating the application of passage matrices in practical scenarios.