Dive into a comprehensive 7-hour course on Linear Algebra, covering essential topics from prelinear algebra to eigenvalues and eigenvectors. Master fundamental concepts such as Gauss-Jordan Elimination, matrix multiplication, vector operations, and subspaces. Explore advanced topics including linear transformations, determinants, orthogonal complements, and the Gram-Schmidt process. Learn practical applications like solving systems of equations, finding areas using determinants, and applying the least squares method. Develop a strong foundation in linear algebra through a structured curriculum that progresses from basic principles to complex mathematical concepts, preparing you for advanced studies in mathematics, engineering, and related fields.