Title: 22_3 Repeated Eigenvalues and Symmetric Matrices
Course: HELM Workbooks 2023-2024 > Section: HELM 22: Eigenvalues and Eigenvectors

We further develop the theory of eigenvalues and eigenvectors in two distinct directions. Firstly we look at matrices where one or more of the eigenvalues is repeated. We shall see that this sometimes (but not always) causes problems in the diagonalization process that was discussed previously. We shall then consider the special properties possessed by symmetric matrices which make them particularly easy to work with.