The spirit of the book could never change. So many people have read this book, and taught from it, and even loved it. Preface Revising this textbook has been a special challenge, for a very nice reason. A.5 The Kronecker Product A ⊗ B of Two Matricesĭ Glossary: A Dictionary for Linear Algebra A.4 The Tensor Product of Two Vector Spaces. A.3 The Cartesian Product of Two Vector Spaces. Ī Intersection, Sum, and Product of Spaces A.1 The Intersection of Two Vector Spaces. 8 Linear Programming and Game Theory 8.1 Linear Inequalities. 7.2 Matrix Norm and Condition Number 7.3 Computation of Eigenvalues. 7 Computations with Matrices 7.1 Introduction. 6 Positive Definite Matrices 6.1 Minima, Maxima, and Saddle Points 6.2 Tests for Positive Definiteness. 5.3 Difference Equations and Powers Ak 5.4 Differential Equations and eAt. ĥ Eigenvalues and Eigenvectors 5.1 Introduction. 3.4 Orthogonal Bases and Gram-Schmidt 3.5 The Fast Fourier Transform. Orthogonality 3.1 Orthogonal Vectors and Subspaces. 2.3 Linear Independence, Basis, and Dimension 2.4 The Four Fundamental Subspaces. Vector Spaces 2.1 Vector Spaces and Subspaces. 1.4 Matrix Notation and Matrix Multiplication 1.5 Triangular Factors and Row Exchanges. Matrices and Gaussian Elimination 1.1 Introduction. Linear Algebra and Its Applications Fourth Edition
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