0.0 Introduction 0.1 Vector spaces 0.2 Matrices 0.3 Determinants 0.4 Rank 0.5 Nonsingularity 0.6 The Euclidean inner product and norm 0.7 Partitioned sets and matrices 0.8 Determinants again 0.9 Special types of matrices 0.10 Change of basis 0.11 Equivalence relations