/*  stepwise calculation of an inverse matrix, using matrix operations  */

matA : matrix([5, 4], [2, 1])$

matA . ident(2);
matA . invert(matA);

adjoint(matA);
invert(matA);

transpose(matA . matrix([0, -1], [1, 0])) . matrix([0, -1], [1, 0]);
(ident(2) / determinant(matA)) . adjoint(matA);