Elementary linear algebra

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Macmillan, 1991 - Mathematics - 487 pages
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This book presents the basic ideas of linear algebra in a manner that users will find understandable. It offers a fine balance between abstraction/theory and computational skills, and gives readers an excellent opportunity to learn how to handle abstract concepts. Included in this comprehensive and easy-to-follow manual are these topics: linear equations and matrices; solving linear systems; real vector spaces; inner product spaces; linear transformations and matrices; determinants; eigenvalues and eigenvectors; differential equations; and MATLAB for linear algebra. Because this book gives real applications for linear algebraic basic ideas and computational techniques, it is useful as a reference work for mathematicians and those in field of computer science.

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Contents

Real Vector Spaces
89
Inner Product Spaces
181
Linear Transformations and Matrices
245
Eigenvalues and Eigenvectors
337
Differential Equations
409
Preliminaries
431
Complex Numbers in Linear Algebra
443
Answers to OddNumbered Exercises
457
Index
480
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