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Elementary Linear Algebra by Ron Larson This includes the chapter 8, 9 and 10 which doesn't come included originally. Cover IFC-1 IFC-2 Half Title Title Statement Copyright Contents Preface Instructor Resources Student Resources Acknowledgements Ch 1: Systems of Linear Equations 1.1: Introduction to Systems of Linear Equations 1.2: Gaussian Elimination and Gauss-Jordan Elimination 1.3: Applications of Systems of Linear Equations Ch 1: Review Exercises Ch 1: Projects Ch 2: Matrices 2.1: Operations with Matrices 2.2: Properties of Matrix Operations 2.3: The Inverse of a Matrix 2.4: Elementary Matrices 2.5: Markov Chains 2.6: More applications of Matrix Operations Ch 2: Review Exercises Ch 2: Projects Ch 3: Determinants 3.1: The Determinant of a Matrix 3.2: Determinants and Elementary Operations 3.3: Properties of Determinants 3.4: Applications of Determinants Ch 3: Review Exercises Ch 3: Projects Cumulative Test for Chapters 1–3 Ch 4: Vector Spaces 4.1: Vectors in Rn 4.2: Vector Spaces 4.3: Subspaces of Vector Spaces 4.4: Spanning Sets and Linear Independence 4.5: Basis and Dimension 4.6: Rank of a Matrix and Systems of Linear Equations 4.7: Coordinates and Change of Basis 4.8: Applications of Vector Spaces Ch 4: Review Exercises Ch 4: Projects Ch 5: Inner Product Spaces 5.1: Length and Dot Product in Rn 5.2: Inner Product Spaces 5.3: Orthonormal Bases: Gram-Schmidt Process 5.4: Mathematical Models and Least Squares Analysis 5.5: Applications of Inner Product spaces Ch 5: Review Exercises Ch 5: Projects Cumulative Test for Chapters 4 and 5 Ch 6: Linear Transformations 6.1: Introduction to Linear Transformations 6.2: The Kernel and Range of a Linear Transformation 6.3: Matrices for Linear Transformations 6.4: Transition Matrices and Similarity 6.5: Applications of Linear Transformations Ch 6: Review Exercises Ch 6: Projects Ch 7: Eigenvalues and Eigenvectors 7.1: Eigenvalues and Eigenvectors 7.2: Diagonalization 7.3: Symmetric Matrices and Orthogonal Diagonalization 7.4: Applications of Eigenvalues and Eigenvectors Ch 7: Review Exercises Ch 7: Projects Cumulative Test for Chapters 6 and 7 Ch 8: Complex Vector Spaces 8.1: Complex Numbers 8.2: Conjugates and Division of Complex Numbers 8.3: Polar Form and DeMoivre’s Theorem 8.4: Complex Vector Spaces and Inner Products 8.5: Unitary and Hermitian Matrices Ch 8: Review Exercises Ch 8: Projects Ch 9: Linear Programming 9.1: Systems of Linear Inequalities 9.2: Linear Programming Involving Two Variables 9.3: The Simplex Method: Maximization 9.4: The Simplex Method: Minimization 9.5: The Simplex Method: Mixed Constraints Ch 9: Review Exercises Ch 9: Project Ch 10: Numerical Methods 10.1: Gaussian Elimination with Partial Pivoting 10.2: Iterative Methods for Solving Linear Systems 10.3: Power Method for Approximating Eigenvalues 10.4: Applications of Numerical Methods Ch 10: Review Ch 10: Projects Appendix: Mathematical Induction and Other Forms of Proofs Answers to Odd-Numbered Exercises and Tests Index