This exercise book deals with vectors, matrices, and systems of linear equations. Vector calculus is developed from a three-dimensional perspective. The chapter on complex numbers aims to provide a solid foundation for complex vector spaces. Computer algebra systems facilitate routine calculations, but they also significantly contribute to conceptual and substantive understanding. Mathematica and Maple are the most widely used computer algebra systems. Of course, the calculations could have also been performed with another suitable system. The book consists of three components. Review: Each section begins with a brief overview of the theory. Definitions and theorems are not particularly highlighted. The aim is to provide a guide for review and to offer tools for specific tasks.