This text introduces linear algebra from an intuitive and geometric viewpoint, creating a level of understanding that goes far beyond mere matrix manipulations. It covers computer graphics topics and numerical strategies, along with all the standard linear algebra material for a first-year course. Rather than use a theorem/proof style, the text provides hand-drawn sketches to encourage readers to create their own sketches when solving problems. Numerous examples also show applications to real-world problems and end-of-chapter problems allow readers to test their understanding of the material.