This short book integrates the use of MATLAB in a unique, innovative way. Linear transformations are integrated throughout the book. The book uses MATLAB as the chosen computational software. It may be used without the need form machine computation, although exposure to some use of MATLAB is recommended. Worked examples illustrating every important concept or main point. At the end of each example the reader is asked to work one (or more) routine exercises which are of the same type. Although the book has been developed in the context of engineering and computer science, it is also suitable for other audiences.