For courses in Introductory Linear Algebra and Matrix Methods. With the most geometric presentation now available, this text emphasizes linear transformations as a unifying theme, and enables students to 'do' both computational and abstract maths in each chapter. A second theme is introduced half way through the text - when eigenvectors are reached - on dynamical systems. It also includes a wider range of problem sets than found in any other text in this market. NEW - Earlier introduction to vector spaces ('linear spaces' ). Extensive visualization and geometrical interpretations throughout - E.g., the determinant; the Gram-Schmidt process; the singular value of decomposition; the QR-factorization; and the use of phase portraits for dynamical systems. Avoidance of the 'wall of vector spaces'. Early, strong introduction to linear transformation. This becomes an underlying theme of the text. All chapters have some theory. More and better problems and exercises than in any other linear algebra text. After Eigenvalue chapter, a running theme in applying dynamical systems. Extensive historical references throughout.
