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Matrices and Transformations

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Text stresses use of matrices in study of transformations of the plane. Familiarizes reader with role of matrices in abstract algebraic systems and illustrates its effective use as mathematical tool in geometry. Includes proofs of most theorems. Answers to odd-numbered exercises.

MATRIX ALGEBRA is a significant topic in contemporary mathematics curricula. This book presents the fundamental concepts of matrix algebra, first in an intuitive framework and then in a"more formal manner. A variety of interpretations and applications of the elements and operations considered are included. In particular, the use of matrices in the study of transformations of the plane is stressed. The purpose of this book is to familiarize the reader with the role of matrices in abstract algebraic systems, and to iI1ustrate its effective use as a mathematical tool in geometry.

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