This course is an introduction to linear algebra and matrices. Topics include computer arithmetic, systems of equations, determinants, vector spaces, subspaces, linear independence and bases, linear transformations and matrices, rank, nullity, diagonalization and quadratic forms.
Matrices are a tool used in many diverse fields to describe problems and formulate solutions.
Linear algebra provides the theoretical framework in which most numerical problems are expressed, particularly if the problem is to be solved by computer. The goal of this course is to provide the students an introduction to the concepts of linear algebra and to introduce some applications of linear algebra in computer science. Students are expected to come to class prepared to participate in the discussion. Homework problems will be assigned for completion outside of class. Students will be expected to present solutions of homework problems.