(%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!"$