12、机器学习中的数学-381页 英文 文字版.pdf

4 Contents 5 List of illustrations vi 6 List of tables x 7 Foreword 1 8 Part I Mathematical Foundations 9 9 1 Introduction and Motivation 11 10 1.1 Finding Words for Intuitions 11 11 1.2 Two Ways to Read this Book 12 12 1.3 Exercises and Feedback 15 13 2 Linear Algebra 17 14 2.1 Systems of Linear Equations 19 15 2.2 Matrices 21 16 2.2.1 Matrix Addition and Multiplication 22 17 2.2.2 Inverse and Transpose 24 18 2.2.3 Multiplication by a Scalar 25 19 2.2.4 Compact Representations of Systems of Linear Equations 26 20 2.3 Solving Systems of Linear Equations 26 21 2.3.1 Particular and General Solution 26 22 2.3.2 Elementary Transformations 28 23 2.3.3 The Minus-1 Trick 32 24