Linear Algebra For Dummies

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.