Kronecker Product

The Kronecker (direct) product of 2 matrices A, with p rows and q columns, and B, with m rows and n columns, is the matrix with pm rows and qn columns given by:

A Ä B = (aij B)

For example, if

and

then

Kronecker Product matrices have a number of useful properties (for a summary of these properties, see Hocking, 1985).