This course is an introduction to linear systems and their algebra, and generalizes the familiar operations of addition and scalar multiplication to more abstract sets of objects.  Students study systems of linear equations in various numbers of dimensions, vector spaces, linear dependence, linear transformations and matrix representations, determinants, eigenvectors and eigenvalues, and a variety of applications. It is equivalent to college linear algebra courses, which are sometimes also referred to as ‘matrix algebra’.   Dual enrollment at GMU is available for this course, but this option is not required.