Synthesis of Bashkow´s a matrix for the general RC circuit

For many uses, a convenient formulation for solving a circuit is Bashkow´s A matrix. The circuit formulation then becomes x¿ = Ax. Given this circuit formulation, the synthesis of a circuit for a particular A matrix is of interest. Such a synthesis is accomplished by finding the diagonalising matrix for A, finding the form of the square incidence submatrix for a general tree in this case, and then using a linear-programming technique.