1 Matrices. - 2 Submatrices and Partitioned Matrices. - 3 Linear Dependence and Independence. - 4 Linear Spaces: Rowand Column Spaces. - 5 Trace of a (Square) Matrix. - 6 Geometrical Considerations. - 7 Linear Systems : Consistency and Compatibility. - 8 Inverse Matrices. - 9 Generalized Inverses. - 10 Idempotent Matrices. - 11 Linear Systems: Solutions. - 12 Projections and Projection Matrices. - 13 Determinants. - 14 Linear Bilinear and Quadratic Forms. - 15 Matrix Differentiation. - 16 Kronecker Products and the Vec and Vech Operators. - 17 Intersections and Sums of Subspaces. - 18 Sums (and Differences) of Matrices. - 19 Minimization of a Second-Degree Polynomial (in n Variables) Subject to Linear Constraints. - 20 The Moore-Penrose Inverse. - 21 Eigenvalues and Eigenvectors. - 22 Linear Transformations. - References. Language: English