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 SAS/IML

2.5 Linear dependence and independence

2.6 Determinants

2.7 Determinants and the theory of the inverse

Key-words

Linear model - method of least squares, normal equations

Inverse matrix

Rank

Non-singularity

Determinant