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TItle Preface Contents 1. Finite-dimensional Vector Spaces 1.1. Vector Spaces 1.2. Directed Line Segments as Vectors 1.3. Geometric Vectors and Coordinate Spaces 1.4. Subspaces 1.5. Solutions of Linear Equations: Gauss Reduction 1.6. Solutions of Linear Equations: Determinants 1.7. Linear Dependence of Vectors 1.8. Basis and Dimension 1.9. Two Important Theorems 2. Linear Transformations and Matrices 2.1. Linear Transformations 2.2. Properties of Linear Transformations 2.3. Operations on Linear Transformations 2.4. Linear Functionals 2.5. Annihilators 2.6. Nonsingular Linear Transformations 2.7. Matrices of Linear Transformations 2.8. Matrices as Multiplicative Systems 2.9. Change of Basis 2.10. Rank 2.11. An Important Note of Clarification 3. Determinants and Systems of Linear Equations 3.1. Matrices and Linear Systems 3.2. Elementary Matrices and lnverses 3.3. Determinants as Multilinear Functionals 3.4. An Alternative Method for Evaluating a Determinant 3.5. An Introduction to Alternating Multilinear Forms 3.6. Determinants Discovered Anew 4. Inner-Product Spaces 4.1. Inner Products in V_3 4.2. General Euclidean Spaces 4.3. The Gram-Schmidt Process of Orthogonalization 4.4. Orth

Who reads Elements of Linear Algebra and Matrix Theory?

Author

John T. Moore

Publisher

McGraw-Hill

Published

1968

Language

EN

Category

nonfiction

Subjects

Mathematics, Stem