Chapter 1: Vector Space Theory

Abstract

Contents

• 1.1. Vector Spaces

• 1.2. Linear Transformations

• 1.3. Inner Product Spaces

• 1.4. The Cauchy-Schwarz Inequality

• 1.5. The Space $\Lambda (V,W)$

• 1.6. Determinants and Eigenvalues

• 1.7. The Spectral Theorem

• Problems

• Notes and References