Using Maple(TM) throughout, this innovative text is based on the multiplication of partitioned matrices as opposed to the older, more traditional approach that becomes bogged down with summation formulas as special cases. Endorsed by the Linear Algebra Curriculum Study Group, the multiplication of partitioned matrices is considered an important idea in a first course on linear algebra. Each chapter contains pedagogical devices where readers can check their understanding of the material by performing basic computations or responding to short answer questions. The book also presents various activities for group assignments and in-class assessments of applications, such as game theory, breast cancer diagnosis, and waste management.