  We express Maxwell's equations as a single equation, first using the
divergence of a special type of matrix field to obtain the four current, and
then the divergence of a special matrix to obtain the Electromagnetic field.
These two equations give rise to a remarkable dual set of equations in which
the operators become the matrices and the vectors become the fields. The
decoupling of the equations into the wave equation is very simple and natural.
The divergence of the stress energy tensor gives the Lorentz Law in a very
natural way. We compare this approach to related descriptions of Maxwell's
equations by biquaternions and Clifford algebras.
