Linear Algebra for Dummies

Linear Algebra for Dummies

PAPERBACK

01 Jul, 2009

<p><b><i>Learn to:</i></b> <ul> <li><b>Solve linear algebra equations in several ways</b></li>...

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ISBN-10:

0470430907

ISBN-13:

9780470430903

Publisher

Wiley

Dimensions

9.10 X 7.30 X 0.90 inches

Language

English

Description

<p><b><i>Learn to:</i></b> <ul> <li><b>Solve linear algebra equations in several ways</b></li> <li><b>Put data in order with matrices</b></li> <li><b>Determine values with determinants</b></li> <li><b>Work with eigenvalues and eigenvectors</b></li> </ul> <p><b>Your hands-on guide to real&#45;world applications of linear algebra</b> <p>Does linear algebra leave you feeling lost&#63; No worries &#151;this easy&#45;to&#45;follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you&#39;ll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction. <ul> <li><b>Line up the basics</b> &#151; discover several different approaches to organizing numbers and equations, and solve systems of equations algebraically or with matrices</li> <li><b>Relate vectors and linear transformations</b> &#151; link vectors and matrices with linear combinations and seek solutions of homogeneous systems</li> <li><b>Evaluate determinants</b> &#151; see how to perform the determinant function on different sizes of matrices and take advantage of Cramer&#39;s rule</li> <li><b>Hone your skills with vector spaces</b> &#151; determine the properties of vector spaces and their subspaces and see linear transformation in action</li> <li><b>Tackle eigenvalues and eigenvectors</b> &#151; define and solve for eigenvalues and eigenvectors and understand how they interact with specific matrices</li> </ul> <p><b>Open the book and find:</b> <ul> <li><b>Theoretical and practical ways of solving linear algebra problems</b></li> <li><b>Definitions of terms throughout and in the glossary</b></li> <li><b>New ways of looking at operations</b></li> <li><b>How linear algebra ties together vectors, matrices, determinants, and linear transformations</b></li> <li><b>Ten common mathematical representations of Greek letters</b></li> <li><b>Real&#45;world applications of matrices and determinants</b></li> </ul><b>Introduction.</b> <p><b>Part I: Lining Up the Basics of Linear Algebra.</b></p> <p>Chapter 1: Putting a Name to Linear Algebra.</p> <p>Chapter 2: The Value of Involving Vectors.</p> <p>Chapter 3: Mastering Matrices and Matrix Algebra.</p> <p>Chapter 4: Getting Systematic with Systems of Equations.</p> <p><b>Part II: Relating Vectors and Linear Transformations.</b></p> <p>Chapter 5: Lining Up Linear Combinations.</p> <p>Chapter 6: Investigating the Matrix Equation Ax = b.</p> <p>Chapter 7: Homing In on Homogeneous Systems and Linear Independence.</p> <p>Chapter 8: Making Changes with Linear Transformations.</p> <p><b>Part III: Evaluating Determinants.</b></p> <p>Chapter 9: Keeping Things in Order with Permutations.</p> <p>Chapter 10: Evaluating Determinants.</p> <p>Chapter 11: Personalizing the Properties of Determinants.</p> <p>Chapter 12: Taking Advantage of Cramer&#8217;s Rule.</p> <p><b>Part IV: Involving Vector Spaces.</b></p> <p>Chapter 13: Involving Vector Spaces.</p> <p>Chapter 14: Seeking Out Subspaces of Vector Spaces.</p> <p>Chapter 15: Scoring Big with Vector Space Bases.</p> <p>Chapter 16: Eyeing Eigenva

Product Details

ISBN-10

:0470430907

ISBN-13

:9780470430903

Publisher

:Wiley

Publication date

: 01 Jul, 2009

Category

: Mathematics

Sub-Category

: Algebra - Linear

Format

:PAPERBACK

Language

:English

Reading Level

: All

No. of Units

:1

Dimension

: 9.10 X 7.30 X 0.90 inches

Weight

:567 g

About the Author

Mary Jane Sterling is the author of numerous For Dummies books. She is a lecturer at Bradley University in Peoria, Illinois, where she has taught courses in algebra, calculus, and other mathematics topics for almost 30 years.

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