This course is a branch of mathematics that is rich in theory and applications. It strikes a balance between theory and practice.

            Its contents cover techniques for solving systems of equations and some fundamentals of matrix theory. Determinants arose from the special patterns that occur in the solution to the systems of equations. Vector spaces and bases are introduced in their pure form followed by dot product on Rⁿ that leads to general inner product spaces and bases are introduced in their pure form followed by dot product on Rⁿ and extend to general vector spaces. Eigenvalues are presented in purely matrix formulation and these in turn are tied in with linear transformations.

            The study of this course arises in applications to such areas majoring in engineering, business, computer science, mathematics, economics and sciences.