My original intent for undertaking the writing of this book was to create an electronic course in linear algebra that utilizes the computer to implement the tedious work associated with matrix and polynomial computations in linear algebra and matrix theory. In my zeal to computerize these computations, I unwittingly became part of the now-generation. With each chapter of the book, I designed a computer module for implementing the concepts taught in the chapter. Hence for each chapter, the user is empowered to instantly practice the lessons learned by using the Linear Algebra Learning Management System (LMS). The Linear Algebra LMS has two implementations. The first implementation is a personalized application that allows the student to perform linear algebra/matrix operations in a personal computer environment that is independent of the classroom setting. The personalized application provides a convenient aid for assisting with homework, take-home tests and independent research. The second implementation is a web-centric version of the LMS that facilitates teacher-to-student interaction. Both implementations have identical functionality, but the web-centric implementation is administered from a central computer under the control of the teacher or a school appointed administrator. This central control allows the teacher to record assigned lesson responses and the ability to evaluate and compare student responses. The web-centric version is not included with this textbook.