Diagonalization of MatricesExplores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.
Stationary Distribution in Markov ChainsExplores the concept of stationary distribution in Markov chains, discussing its properties and implications, as well as the conditions for positive-recurrence.
Matrix Reduction: Part 1Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.
Eigenvalues and EigenvectorsExplores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.