elementary linear algebra by howard anton 10th edition-solution manual
elementary linear algebra by howard anton 10th edition-solution manual
This textbook is an expanded version of Elementary Linear Algebra, by Howard Anton. The first ten chapters ofthis book are identical to the first ten chapters of that text; the eleventh chapter consists of 21 applications of linear algebradrawn from business, economics, engineering, physics, computer science, approximation theory, ecology, sociology,demography, and genetics. The applications are, with one exception, independent of one another and each comes with a list ofmathematical prerequisites. Thus, each instructor has the flexibility to choose those applications that are suitable for his or herstudents and to incorporate each application anywhere in the course after the mathematical prerequisites have been satisfied.This edition of Elementary Linear Algebra, like those that have preceded it, gives an elementary treatment of linear algebra thatis suitable for students in their freshman or sophomore year. The aim is to present the fundamentals of linear algebra in theclearest possibleway; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercisesand examples for students who have studied calculus. Those exercises can be omitted without loss of continuity. Technology isalso not required, but for those who would like to use MATLAB, Maple, Mathematica, or calculators with linear algebracapabilities, exercises have been included at the ends of the chapters that allow for further exploration of that chapterscontents. SUMMARY OF CHANGES IN THIS EDITIONThis edition contains organizational changes and additional material suggested by users of the text. Most of the text isunchanged. The entire text has been reviewed for accuracy, typographical errors, and areas where the exposition could beimproved or additional examples are needed. The following changes have been made: Section 6.5 has been split into two sections: Section 6.5 Change of Basis and Section 6.6 Orthogonal Matrices. This allows for sharper focus on each topic. A new Section 4.4 Spaces of Polynomials has been added to further smooth the transition to general linear transformations, and a new Section 8.6 Isomorphisms has been added to provide explicit coverage of this topic. Chapter 2 has been reorganized by switching Section 2.1 with Section 2.4. The cofactor expansion approach to determinants is now covered first and the combinatorial approach is now at the end of the chapter. Additional exercises, including Discussion and Discovery, Supplementary, and Technology exercises, have been added throughout the text. In response to instructors requests, the number of exercises that have answers in the back of the book has been reduced considerably. The page design has been modified to enhance the readability of the text. A new section on the earliest applications of linear algebra has been added to Chapter 11. This section shows how linear equations were used to solve practical problems in ancient Egypt, Babylonia, Greece, China, and India.
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