Description
Linear algebra provides a prime example of a common phenomenon in mathematics, namely, a method for solving a particular type of problem blossoming into a large and fruitful theory with many powerful applications. Students will study linear systems of equations, linear transformations, linear independence and bases, matrix theory, determinants, vector spaces, eigenvectors and inner product spaces. As a result of completing this course, students will be able to determine if a (unique) solution to a system of linear equations exists, solve applied problems involving systems of linear equations using a variety of methods, and give a geometric interpretation for every major concept in the course. Prerequisite: A grade of C or better in UDMA 250, or departmental approval