Chapter 1 Introduction -- chapter 2 Vectors and Matrices -- chapter 3 Rank of Matrices -- chapter 4 Determinants -- chapter 5 Inverses -- chapter 6 Eigenanalysis of Real Symmetric Matrices -- chapter 7 Vector and Matrix Calculus -- chapter 8 Further Topics -- chapter 9 Key Applications to Statistics
Summary
A Thorough Guide to Elementary Matrix Algebra and Implementation in R. Basics of Matrix Algebra for Statistics with R provides a guide to elementary matrix algebra sufficient for undertaking specialized courses, such as multivariate data analysis and linear models. It also covers advanced topics, such as generalized inverses of singular and rectangular matrices and manipulation of partitioned matrices, for those who want to delve deeper into the subject