Dive into a comprehensive 14-hour course on Linear Algebra, covering fundamental concepts and advanced topics. Begin with elementary linear algebra and matrix operations, including addition, subtraction, multiplication, and transposition. Learn about Gauss elimination, row-echelon forms, and Gauss-Jordan elimination for solving systems of equations. Explore matrix inverses, determinants, and eigenvalues. Study vectors, including dot products, cross products, and orthogonal projections. Delve into plane geometry and equations of planes. Examine vectors in n-dimensional space and Euclidean geometry. Conclude with an introduction to complex numbers, their operations, and polar form representations. Master essential linear algebra skills through numerous examples and problem-solving exercises throughout the course.