Solving the matrix form of Prentice's equation for dioptric power.

The matrix form of Prentice's equation is solved completely for dioptric power. Solutions in matrix form are presented. For any specified position on a lens and any specified prismatic effect at that position one can calculate a particular power consistent with the specified information. One can also determine the complete set of consistent powers. The purpose of the paper is essentially theoretical: it is to complete the mathematical basis for answering any conceivable question concerning Prentice's equation.