This textbook introduces linear algebra and optimization in the context of machine learning. Examples and exercises are provided throughout the book. A solution manual for the exercises at the end of each chapter is available to teaching instructors. This textbook targets graduate level students and professors in computer science, mathematics and data science. Advanced undergraduate students ca…
Daftar isi: BAB 1 Matriks dan sistem persamaan linear BAB 2 Determinan BAB 3 Vektor-vektor di R2, R3, dan Rn BAB 4 Basis dan dimensi di Rn BAB 5 Transformasi linear dari ruang vektor BAB 6 Nilai eigen dan vektor eigen BAB 7 Terapan aljabar linear dalam berbagai bidang
Daftar isi 1. Matriks - Definisi matriks - Kesamaan matriks - Operasi-operasi matriks - Beberapa jenis matriks - Aturan-aturan ilmu hitung matriks - Pangkat suatu matriks - Matriks elementer dan metode untuk mencari A-1 2. Sistem persamaan linear - Pengantar sistem persamaan linear - Operasi baris elementer - Eliminasi Gauss dan Gauss-Jordan - Sistem persamaan linear h…
Table of contents: Solution for chapter 1 Solution for chapter 2 Solution for chapter 3 Solution for chapter 4 Solution for chapter 5 Solution for chapter 6 Solution for chapter 7 Solution for chapter 8
Table of contents: Preface ix 1. Linear Equations 1 1.1 Introduction 1 1.2 Gaussian Elimination and Matrices 3 1.3 Gauss–Jordan Method 15 1.4 Two-Point BoundaryV alue Problems 18 1.5 Making Gaussian Elimination Work 21 1.6 Ill-Conditioned Systems 3 2. Rectangular Systems and Echelon Forms 41 2.1 Row Echelon Form and Rank 41 2.2 Reduced Row Echelon Form 47 2.3 Consistencyof Linea…
Table of contents: Chapter 1: Systems of Linear Equations 1.1: Introduction to Systems of Linear Equations (43) 1.2: Gaussian Elimination and Gauss-Jordan Elimination (38) 1.3: Applications of Systems of Linear Equations (22) 1: Review Exercises (12) Chapter 2: Matrices 2.1: Operations with Matrices (45) 2.2: Properties of Matrix Operations (45) 2.3: The I…
Daftar isi: BAB 1. Matriks BAB 2. Operasi matriks BAB 3. Dekomposisi matriks BAB 4. Determinan matriks BAB 5. Invers matriks BAB 6. Rank dan trace matriks BAB 7. Akar karakteristik BAB 8. Persamaan linier BAB 9. Pemrograman linier BAB 10. Penyelesaian PL menggunakan metode simplex BAB 11. Penyelesaian PL menggunakan metode eliminasi gauss jordan
Linear algebra with applications 1. Matrices and Systems of Equations 1.1 Systems of Linear Equations 1.2 Row Echelon Form 1.3 Matrix Arithmetic 1.4 Matrix Algebra 1.5 Elementary Matrices 1.6 Partitioned Matrices 2. Determinants 2.1 The Determinant of a Matrix 2.2 Properties of Determinants 2.3 Additional Topics and Applications 3. Vector Spaces 3.1 Definition and Examp…