chapter  9
26 Pages

Additional Topics

In this chapter we first introduce some special matrix products (the tensor product and Hadamard product) and prove some of their properties. In Section 9.2, given a square matrix, we show how to determine regions in the complex plane that are sure to contain all of its eigenvalues. In Section 9.3, we introduce an important combinatorial counting function, called the permanent, which, although similar to the determinant in definition, is notoriously difficult to compute in general.