9.1 Definitions and elementary matrix algebra

9.2 Further matrix algebra

9.3 Matrix inversion and simultaneous equations

9.4 Row operations

9.5 Consistency and rank

9.6 Eigenvalues and eigenvectors

9.7 Linearly independent and normalised eigenvectors

9.8 Characteristic properties and similarity transformations

9.9 Modal and spectral matrices

9.10 Symmetric matrices and quadratic forms