Fundamentals of Linear Algebra

(2 Credits)

In many applications of engineering and mathematics, a response of systems is a linear function of the input. These linear systems, which arise in elasticity, in circuits, and in numerical simulations, for example, involve linear equations in many unknowns. The associated matrix algebra is a rich field of mathematics. It is also central to the analysis and numerical solutions of linear ordinary and partial differential equations used in engineering and other fields. The topics include practical approaches to systems of linear equations, matrices, determinants, Gaussian elimination, basis and dimension, linear transformations, eigenvalues and eigenvectors.