Linear algebra, geometry and transformation / Bruce Solomon.

Includes bibliographical references and index.

CHAPTER 1 -- Vectors, Mappings, and Linearity;
CHAPTER 2 -- Solving Linear Systems;
CHAPTER 3 -- Linear Geometry;
CHAPTER 4 -- The Algebra of Matrices;
CHAPTER 5 -- Subspaces;
CHAPTER 6 -- Orthogonality;
CHAPTER 7 -- Linear Transformation;
APPENDIX A -- Determinants;
APPENDIX B -- Proof of the Spectral Theorem;
APPENDIX C -- Lexicon.

"Starting with all the standard topics of a first course in linear algebra, this text then introduces linear mappings, and the questions they raise, with the expectation of resolving those questions throughout the book. Ultimately, by providing an emphasis on developing computational and conceptual skills, students are elevated from the computational mathematics that often dominates their experience prior to the course to the conceptual reasoning that often dominates at the conclusion"--