(%i1) "Mathe-Q4: Determinanten-Beispiel"$

(%i3) M1: matrix([1.0,2.0,3.0],[4.0,5.0,6.0],[7.0,8.0,9.0]);
                               [ 1.0  2.0  3.0 ]
                               [               ]
(%o3)                          [ 4.0  5.0  6.0 ]
                               [               ]
                               [ 7.0  8.0  9.0 ]

(%i4) determinant(M1);
(%o4)                                 0.0

(%i5) M2: matrix([5.0,6.0],[8.0,9.0]);
                                 [ 5.0  6.0 ]
(%o5)                            [          ]
                                 [ 8.0  9.0 ]

(%i6) M3: matrix([2.0,3.0],[8.0,9.0]);
                                 [ 2.0  3.0 ]
(%o6)                            [          ]
                                 [ 8.0  9.0 ]

(%i7) M4: matrix([2.0,3.0],[5.0,6.0]);
                                 [ 2.0  3.0 ]
(%o7)                            [          ]
                                 [ 5.0  6.0 ]

(%i8) determinant(M2);
(%o8)                                - 3.0

(%i9) determinant(M3);
(%o9)                                - 6.0

(%i10) determinant(M4);
(%o10)                               - 3.0

(%i11) - 1 * 3.0 - ( - 6.0 * 4) + 7 * (- 3.0);
(%o11)                                0.0

(%i12) "D = 0   => LGS nicht lösbar!"$