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With the most geometric presentation now available, this reference emphasizes linear transformations as a unifying theme, and enables users to "do" both computational and abstract math 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 book in this market. Chapter topics include systems of linear equations; linear transformations; subspaces of Rn and their dimension; linear spaces; orthogonality and least squares; determinants; eigenvalues and eigenvectors; symmetric matrices and quadratic forms; and linear differential equations. For anyone seeking an introduction to linear algebra.
A text for undergraduates, stressing examples, exercises, history, and applications, and keeping abstract exposition to a minimum. Coverage includes linear equations and transforms, subspaces of Rn and their dimensions, orthogonality and least squares, determinants, eigenvalues and eigenvectors, coordinate systems, linear systems of differential equations, and linear spaces. Includes chapter exercises and selected answers. Annotation c. by Book News, Inc., Portland, Or.