An Assay
Mathematics Background of the Maxwell equations Let us consider Maxwell equations system: (1) (2) This is a system of the two dependent variables, x and y, which generally depend on independent scalar, i. e. t (say, it be ‘time’).
In the matrix form it is:
dX/dt = A*X, (3) where X = (x; y) is a column of the two coordinates, x and y, on the Descartes’ plane;
A is a 2 x 2 matrix of scalars: a11, a12, a21, a22,
Where a11 = 0; a12 = –1; a21 = 1; a22 = 0. There we understand A*X as a product of matrices A (a 2 x 2 matrix) and X (a 1 x 2 matrix, or a column two-component vector of ...
