Linear Algebra: Theory and Applications

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Jones & Bartlett Publishers, Dec 29, 2010 - Computers - 624 pages
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Ward Cheney and David Kincaid have developed Linear Algebra: Theory and Applications, Second Edition, a multi-faceted introductory textbook, which was motivated by their desire for a single text that meets the various requirements for differing courses within linear algebra. For theoretically-oriented students, the text guides them as they devise proofs and deal with abstractions by focusing on a comprehensive blend between theory and applications. For application-oriented science and engineering students, it contains numerous exercises that help them focus on understanding and learning not only vector spaces, matrices, and linear transformations, but uses of software tools available for use in applied linear algebra. Using a flexible design, it is an ideal textbook for instructors who wish to make their own choice regarding what material to emphasis, and to accentuate those choices with homework assignments from a large variety of exercises, both in the text and online.
 

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Contents

Systems of Linear Equations
1
Vector Spaces
88
Matrix Operations
186
Determinants
243
Vector Subspaces
289
Eigensystems
367
InnerProduct Vector Spaces
404
Additional Topics
458
Deductive Reasoning and Proofs
563
Complex Arithmetic
581
AnswersHints for General Exercises
585
References
607
Index
611
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