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 R n 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.
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This introduction to linear algebra focuses on dynamical systems -- continuous and discrete -- as a unifying theme, as motivation for eigenvectors, and in examples of major applications of linear algebra -- particularly systems of differential equations. Pedagogically strong ,it introduces abstract concepts gradually and gently -- without "spoon feeding" students. It uses visualization and geometrical interpretations extensively and features an abundance of both routine and thought-provoking problems and exercises involving abstract concepts and applications.
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