Linear Algebra

Catalog description

Linear Algebra delves into the study of linear systems, matrices, and vector spaces, forming a critical foundation for advanced mathematics. Students will begin by mastering matrix operations, including solving linear systems and finding determinants and inverses. As they progress, they will explore vector spaces, linear transformations, and inner product spaces, gaining the skills to work with higher-dimensional systems. The course also covers advanced topics such as eigenvalues, eigenvectors, diagonalization, and sophisticated techniques like the least squares method, linear programming, and singular value decomposition. This course is essential for those preparing for Multivariable Calculus and other advanced mathematical studies.