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Chapter0. Welcome}

최용석 — 2014-12-19 00:00:00.0

- Course Description Chapter 0: Welcome Chapter 1: Review of Elementary Matrix Algebra Chapter 2: Solving Equations by Matrix Chapter 3: Optimization by Matrix Chapter 4: Special Topics - Required Textbooks Huh, M.H.(2010). Understanding and Calculation of Ma

Chapter 1 Introduction }

최용석 — 2014-12-19 00:00:00.0

Chapter 1 Introduction 1.1 Definition of a matrix 1.2 Necessity of matrix 1.3 Basic operations 1.4 Matrix Representation of Multivariate Data 1.5 Creating Matrix in R and SAS/IML Key-words Matrix Addition(Matrix sum)

Chapter 2 Equations and Algebra}

최용석 — 2014-12-19 00:00:00.0

Chapter 2 Equations and Algebra 2.1 Linear model, least squares method and normal equations 2.2 Solution of equations and inverse matrices 2.3 Conditions for existence of the inverse 2.4 Calculation of the inverse in R and

Chapter 3 Optimization }

최용석 — 2014-12-19 00:00:00.0

Chapter 3 Optimization 3.1 Dimensional reduction of the multivariate data 3.2 Eigenvalue and eigenvector 3.3 Spectral decomposition 3.4 Matrix decomposition in R and SAS/IML 3.5 Geometric concepts of positive definite

Chapter 4 Special Topics}

최용석 — 2014-12-19 00:00:00.0

Chapter 4 Special Topics 4.1 Multivariate normal distribution 4.2 Generalized inverse 4.3 QR factorization and Cholesky decomposition 4.4 Kronecker product and Vec operator Key-words g-inverse, Moore-Penrose invers