Lecture
This lecture covers the concepts of projections and symmetries in 2D space. It starts by discussing projections on lines and their analytical expressions. The lecture then delves into symmetries with respect to parallel lines, exploring the properties of symmetric matrices. The instructor demonstrates how to find fixed points and axes of symmetry, emphasizing the role of projection matrices. The lecture concludes with geometric observations on reflections and orthogonal transformations, providing examples to illustrate the concepts.