Change of Frames in 2D

This lecture covers the concept of changing frames in 2D, starting with translations and rotations, leading to the introduction of a transformation matrix U. The lecture emphasizes the linear nature of the transformation, achieved by introducing homogeneous coordinates. The instructor explains the decomposition of U into block matrices and discusses key results related to determinants and transpositions. The lecture concludes by hinting at a more efficient method based on diagonalizing symmetric 2x2 matrices, promising a simpler approach for future applications.