Change of Basis: MotivationExplores the motivation behind change of basis in linear algebra, emphasizing the importance of selecting the right basis.
Linear Algebra: Matrix OperationsExplores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.
Linear Algebra: IntegersExplores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.
Eigenvalues and Eigenvectors in 3DExplores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.
Base Changes and RankExplores base changes, bijective linear applications, matrix transformations, and dimensions of kernel and image spaces.