Provides information on the theoretical and practical solutions of linear algebra problems. Linear Algebra For Dummies serves as an easy-to-follow guide that introduces (or re-introduces) readers to key concepts such as matrices, vector spaces, and eigenvalues and eigenvectors. It presents the information in a way that allows readers to fully digest not just the how of solving linear algebraic problems, but also the why. Introduction. Part I: Lining Up the Basics of Linear Algebra. Chapter 1: Putting a Name to Linear Algebra. Chapter 2: The Value of Involving Vectors. Chapter 3: Mastering Matrices and Matrix Algebra. Chapter 4: Getting Systematic with Systems of Equations. Part II: Relating Vectors and Linear Transformations. Chapter 5: Lining Up Linear Combinations. Chapter 6: Investigating the Matrix Equation Ax = b. Chapter 7: Homing In on Homogeneous Systems and Linear Independence. Chapter 8: Making Changes with Linear Transformations. Part III: Evaluating Determinants. Chapter 9: Keeping Things in Order with Permutations. Chapter 10: Evaluating Determinants. Chapter 11: Personalizing the Properties of Determinants. Chapter 12: Taking Advantage of Cramer s Rule. Part IV: Involving Vector Spaces. Chapter 13: Involving Vector Spaces. Chapter 14: Seeking Out Subspaces of Vector Spaces. Chapter 15: Scoring Big with Vector Space Bases. Chapter 16: Eyeing Eigenvalues and Eigenvectors. Part V: The Part of Tens. Chapter 17: Ten Real World Applications Using Matrices. Chapter 18: Ten (Or So) Linear Algebra Processes You Can Do on Your Calculator. Chapter 19: Ten Mathematical Meanings of Greek Letters. Glossary. Index.