This volume explains how to use DERIVE software to simplify calculations and focus on the structure of linear algebra and its associated applications. The elementary properties of matrices, vector spaces, linear transformations and determinants are presented in a style that aims to promote an understanding and appreciation of the order and logic of the theory (without the unnecessary frustration of long, time-consuming calculations). Since this early material is covered more efficiently through DERIVE, more emphasis can be spent on the study of eigenvalues, eigenvectors, matrix analysis and applications in diverse areas such as least square approximations. Markof processes, difference equations and linear systems of differential equations with constant coefficients are also covered. In order to support the learner, the text includes 180 example problems worked in detail, almost 600 DERIVE statements illustrating the use of the software and more than 600 exercises with solutions.
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