MATH 420 - Advanced Linear Algebra

Credit Hours: 4
Prerequisites: “C” or better in MATH 202 or equivalent (multivariable Calculus is recommended).
This course focuses on multidimensional vector and matrix methods for studying systems of linear equations and linear operators. Some of the main topics include matrix operations, Gaussian eliminations, vector spaces, determinants and conditioning, LU and singular-value decomposition, linear transformations, orthogonality, the Gram-Schmidt process, inner products, eigenvalue problems, existence and uniqueness, applications to differential equations, numerical methods, convergence, and integrative processes (Markov, Krylov, subspaces stochastic, fixed point, etc.).