Presents the fundamentals of linear algebra in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. This substantial revision includes greater focus on relationships between concepts, smoother transition to abstraction, early exposure to linear transformations and eigenvalues, more emphasize on visualization, new material on least squares and QR-decomposition and a greater number of proofs. Exercise sets begin with routine drill problems, progress to problems with more substance and conclude with theoretical problems.
**** The first edition (1973) is cited in BCL3. A textbook that presents the fundamentals of linear algebra for students in their freshman or sophomore year. Calculus is not a prerequisite, but there are exercises and examples for students with a calculus background. This revised edition (sixth was 1991) implements a number of the recommendations of the Linear Algebra Curriculum Study Group. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Systems of Linear Equations and Matrices.
Vectors in 2-Space and 3-Space.
Euclidean Vector Spaces.
General Vector Spaces.
Inner Product Spaces.
Complex Vector Spaces.
Answers to Exercises.