Dive into a comprehensive 20-hour linear algebra course covering essential topics from Jordan normal form to singular value decomposition. Master concepts like eigenvalues, eigenvectors, matrix diagonalization, and linear transformations. Learn practical techniques such as LR decomposition, Gram-Schmidt orthonormalization, and Gaussian elimination. Explore complex numbers, vector spaces, and determinants. Engage with numerous example calculations and proofs to solidify understanding. Benefit from extensive classroom exercises covering a wide range of topics, including complex numbers, linear systems, vector spaces, and advanced matrix decompositions.