ABSTRACT
Exercise 5-18: Clearly the vector col(1,0) is an eigenvector. What is its eigenvalue? It is easy to show that there is no other eigenvalue. Show that there is no other eigenvector.
Because we deal mostly with symmetric matrices in this book, we may forget that the theorems we derive about these matrices do not necessarily apply to all matrices. Some of the properties of symmetric matrices are not properties of all matrices-like the property that an n×n symmetric matrix has n eigenvectors that span the vector space. As we have seen, this is not true in general.
