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Some ancillaries, including electronic and print components, may not be available to customers outside the United States. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written consent of The McGraw-Hill Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or broadcast for distance learning. Copyright © 2009 by The McGraw-Hill Companies, Inc. INTRODUCTION TO LINEAR ALGEBRA WITH APPLICATIONS Published by McGraw-Hill, a business unit of The McGraw-Hill Companies, Inc., 1221 Avenue of the Americas, New York, NY 10020. INTRODUCTION TO LINEAR ALGEBRA WITH APPLICATIONS CHAPTER 1 Systems of Linear Equations and Matricesġ.2 Matrices and Elementary Row Operationsġ.7 Elementary Matrices and LU Factorizationġ.8 Applications of Systems of Linear EquationsĬHAPTER 2 Linear Combinations and Linear IndependenceĤ.4 Matrix Representation of a Linear Transformationĥ.3 Application: Systems of Linear Differential EquationsĦ.5 Application: Least Squares ApproximationĦ.6 Diagonalization of Symmetric MatricesĦ.8 Application: Singular Value Decomposition
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