Hermite Normal FormCovers the Hermite Normal Form, a method to transform a matrix into a specific form.
Change of Basis: MotivationExplores the motivation behind change of basis in linear algebra, emphasizing the importance of selecting the right basis.
Base Changes and RankExplores base changes, bijective linear applications, matrix transformations, and dimensions of kernel and image spaces.
Newton's Shell TheoremExplains Newton's shell theorem for Gravitation and Electrostatics, including potential concepts and spherical coordinates application.
Change of Frames in 2DExplores changing frames in 2D through translations, rotations, and the introduction of a transformation matrix U.