Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.
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Sterling K. Berberian is Professor Emeritus of Mathematics at the University of Texas at Austin and is the author of several books, including Introduction to Hilbert Space, Fundamentals of Real Analysis, and Measure and Integration.
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