Basic linear algebra topics, such as vectors, dot product, cross product, vector projection, are explored as well as the more advanced topics of rotations in space, rolling a circle along a curve, and the TNB Frame. Next, the authors explore linear systems of equations and matrices, applications of linear systems and matrices, determinants, inverses, and Cramer's rule. The book begins with an introduction to the commands and programming guidelines for working with Mathematica(r). This book introduces algebra topics which can only be taught with the help of computer algebra systems, and the authors include all of the commands required to solve complex and computationally challenging linear algebra problems using Mathematica(r). Computer algebra systems such as Mathematica(r) are becoming ever more powerful, useful, user friendly and readily available to the average student and professional, but thre are few books which currently cross this gap between linear algebra and Mathematica(r). Principles of Linear Algebra with Mathematica(r) uniquely addresses the quickly growing intersection between subject theory and numerical computation.
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