This book introduces the concepts of linear algebra through the
careful study of two and three-dimensional Euclidean geometry. This
approach makes it possible to start with vectors, linear
transformations, and matrices in the context of familiar plane
geometry and to move directly to topics such as dot products,
determinants, eigenvalues, and quadratic forms. The later chapters
deal with n-dimensional Euclidean space and other
finite-dimensional vector space.
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