{"product_id":"linear-algebra-for-dummies-isbn-9780470430903","title":"Linear Algebra For Dummies","description":"\u003cp\u003e\u003cb\u003eAn easy-to-follow guide to practical, real-world applications of linear algebra\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eLinear algebra is a branch of mathematics that uses matrices to solve systems of linear equations; it has applications in many disciplines, from sociology and game theory to computer programming, engineering, and business. \u003ci\u003eLinear Algebra For Dummies\u003c\/i\u003e maps to a typical, college-level linear algebra course, in which students first study matrices and matrix operations, then apply those fundamentals to abstract topics such as vector spaces, linear transformations, determinants, and, finally, eigenvalues and eigenvectors. It gives students theoretical and practical ways of approaching various types of problems, presenting the information in a way that allows readers to fully digest not just the how of solving linear algebraic problems, but also the why.\u003c\/p\u003e \u003cp\u003eIntroduction 1\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I: Lining Up the Basics of Linear Algebra 7\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChapter 1: Putting a Name to Linear Algebra 9\u003c\/p\u003e \u003cp\u003eChapter 2: The Value of Involving Vectors 19\u003c\/p\u003e \u003cp\u003eChapter 3: Mastering Matrices and Matrix Algebra 41\u003c\/p\u003e \u003cp\u003eChapter 4: Getting Systematic with Systems of Equations 65\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II: Relating Vectors and Linear Transformations 85\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChapter 5: Lining Up Linear Combinations 87\u003c\/p\u003e \u003cp\u003eChapter 6: Investigating the Matrix Equation Ax = b 105\u003c\/p\u003e \u003cp\u003eChapter 7: Homing In on Homogeneous Systems and Linear Independence 123\u003c\/p\u003e \u003cp\u003eChapter 8: Making Changes with Linear Transformations 147\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III: Evaluating Determinants 173\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChapter 9: Keeping Things in Order with Permutations 175\u003c\/p\u003e \u003cp\u003eChapter 10: Evaluating Determinants 185\u003c\/p\u003e \u003cp\u003eChapter 11: Personalizing the Properties of Determinants 201\u003c\/p\u003e \u003cp\u003eChapter 12: Taking Advantage of Cramer's Rule 223\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart IV: Involving Vector Spaces 239\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChapter 13: Involving Vector Spaces 241\u003c\/p\u003e \u003cp\u003eChapter 14: Seeking Out Subspaces of Vector Spaces 255\u003c\/p\u003e \u003cp\u003eChapter 15: Scoring Big with Vector Space Bases 273\u003c\/p\u003e \u003cp\u003eChapter 16: Eyeing Eigenvalues and Eigenvectors 289\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart V: The Part of Tens 309\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChapter 17: Ten Real-World Applications Using Matrices 311\u003c\/p\u003e \u003cp\u003eChapter 18: Ten (Or So) Linear Algebra Processes You Can Do on Your Calculator 327\u003c\/p\u003e \u003cp\u003eChapter 19: Ten Mathematical Meanings of Greek Letters 339\u003c\/p\u003e \u003cp\u003eGlossary 343\u003c\/p\u003e \u003cp\u003eIndex 351\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eMary Jane Sterling\u003c\/b\u003e is the author of numerous \u003ci\u003eFor Dummies\u003c\/i\u003e 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.    \u003c\/p\u003e\u003cp\u003e\u003cb\u003e\u003ci\u003eLearn to:\u003c\/i\u003e\u003c\/b\u003e  \u003c\/p\u003e\u003cul\u003e \u003cli\u003e\u003cb\u003eSolve linear algebra equations in several ways\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003ePut data in order with matrices\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eDetermine values with determinants\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eWork with eigenvalues and eigenvectors\u003c\/b\u003e\u003c\/li\u003e \u003c\/ul\u003e  \u003cp\u003e\u003cb\u003eYour hands-on guide to real-world applications of linear algebra\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003eDoes linear algebra leave you feeling lost? No worries —this easy-to-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'll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction.  \u003c\/p\u003e\u003cul\u003e \u003cli\u003e\n\u003cb\u003eLine up the basics\u003c\/b\u003e — discover several different approaches to organizing numbers and equations, and solve systems of equations algebraically or with matrices\u003c\/li\u003e \u003cli\u003e\n\u003cb\u003eRelate vectors and linear transformations\u003c\/b\u003e — link vectors and matrices with linear combinations and seek solutions of homogeneous systems\u003c\/li\u003e \u003cli\u003e\n\u003cb\u003eEvaluate determinants\u003c\/b\u003e — see how to perform the determinant function on different sizes of matrices and take advantage of Cramer's rule\u003c\/li\u003e \u003cli\u003e\n\u003cb\u003eHone your skills with vector spaces\u003c\/b\u003e — determine the properties of vector spaces and their subspaces and see linear transformation in action\u003c\/li\u003e \u003cli\u003e\n\u003cb\u003eTackle eigenvalues and eigenvectors\u003c\/b\u003e — define and solve for eigenvalues and eigenvectors and understand how they interact with specific matrices\u003c\/li\u003e \u003c\/ul\u003e  \u003cp\u003e\u003cb\u003eOpen the book and find:\u003c\/b\u003e \u003c\/p\u003e\u003cul\u003e \u003cli\u003e\u003cb\u003eTheoretical and practical ways of solving linear algebra problems\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eDefinitions of terms throughout and in the glossary\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eNew ways of looking at operations\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eHow linear algebra ties together vectors, matrices, determinants, and linear transformations\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eTen common mathematical representations of Greek letters\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eReal-world applications of matrices and determinants\u003c\/b\u003e\u003c\/li\u003e \u003c\/ul\u003e","brand":"For Dummies","offers":[{"title":"Default Title","offer_id":47989531181285,"sku":"NP9780470430903","price":24.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470430903.jpg?v=1761784483","url":"https:\/\/k12savings.com\/es\/products\/linear-algebra-for-dummies-isbn-9780470430903","provider":"K12savings","version":"1.0","type":"link"}