This supplement for linear algebra courses provides a hands-on lab manual that includes exercises, theorems, and problems. The exercises section integrates problems, technology, Mathematica visualization, and Mathematica CDFs, enabling students to discover the theory and applications of linear algebra in a meaningful way. The theorems and problems section presents the theoretical aspects of linear algebra. Each chapter also contains application-driven projects that students can use as the basis for further undergraduate research.

Matrix Operations. Invertibility. Vector Spaces. Orthogonality. Matrix Decomposition with Applications. Applications to Differential Equations. Mathematica Demonstrations and References. Index.