Abstract10.1 Why do we need numerical linear algebra?10.2 Computation error10.3 Algorithm stability10.4 Conditioning of a problem10.5 Perturbation analysis for solving a linear system10.6 Properties of the matrix condition number10.7 Matlab computation of a matrix condition number10.8 Estimating the condition number10.9 Introduction to perturbation analysis of eigenvalue problems10.10 Chapter summary10.11 Problems