Dive into a comprehensive 7-hour course on Linear Algebra, covering essential topics from linear equations to advanced matrix operations. Master solving systems of linear equations, Gaussian elimination, and matrix multiplication. Explore vector operations, determinants, eigenvalues, and eigenvectors. Learn about orthogonality, Gram-Schmidt orthogonalization, and the Singular Value Decomposition. Gain a solid foundation in linear algebra concepts and techniques applicable to various fields of mathematics and science.