Diagonalization of MatricesExplores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.
Advanced analysis IIDelves into eigenvectors, eigenvalues, extrema conditions, and saddle points in functions.
Linear Algebra: Canonical BasisExplores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.
Postulates of Quantum MechanicsExplores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.
Matrix Reduction: Part 1Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.