Dive into a comprehensive 4-hour video course on advanced linear algebra, exploring its fundamental role in mathematics, sciences, and engineering. Master least squares approximation, including data fitting and the inverse of transpose matrices. Delve into Hamming's error-correcting codes, examining Hamming matrices and parity bits. Explore the functional calculus, covering topics like polynomial interpolation and Van der Monde matrix determinants. Study affine subspaces and transformations, understanding combinations, subspaces, and compositions. Conclude with an in-depth look at stochastic maps, conditional probabilities, and Bayes' theorem. Enhance your understanding of this crucial mathematical field through lectures by Prof. Arthur Parzygnat, designed to equip you with advanced linear algebra concepts and applications.