Each lesson includes, objectives, motivations, examples, exercises, a quiz, and a summary of the concepts and facts discussed. The lessons are informally developed and do include formal proofs. Proofs of the facts can be accessed from the Theory component of the GUI. Most lessons include a Learning the Process section where students choose their favorite examples to understand a procedure. Students can develop, to some extent, their own notebooks. Each lesson is carefully designed to incorporate the relevant automated linear algebra functions. The interactive computer lessons allow students self-pacing and electronic tutoring. Each lesson includes a collection of exercises. Solutions are provided in the software.

Each lesson includes a quiz. At the end of the quiz a report is provided that included the student's score, number of correct answers, and questions that have not been answered correctly.

Systems of Linear Equations	Matrix Algebra
Linear Spaces	Inner Product Spaces
Linear Transformations	Eigenspaces

We include material that is normally excluded from an introductory linear algebra course. For example, LU-decomposition is included in Unit Two, least squares, generalized inverses, and QR-decomposition are included in Unit Three and Four, and SVD-decomposition is included as an automated function.