Now introduced in chapter 4. Allows students to see a visual depiction of equations and processes. Keeps students from becoming overwhelmed and confused, and prevents them from getting lost and discouraged early in the course. Early, strong introduction to linear transformation. This becomes an underlying theme of the text.
All chapters have some theory.
Makes the discussion of matrix manipulations more meaningful, and easier for students to visualize. More and better problems and exercises than in any other linear algebra text. After Eigenvalue chapter, a running theme in applying dynamical systems. Unifies the presentation and provides motivation for students. Extensive historical references throughout.