矩阵的PLU分解

GeoGebra 命令及参数

1. Random(-5, 5) → A6
2. Random(-5, 5) → B6
3. Random(-5, 5) → C6
4. Random(-5, 5) → A7
5. Random(-5, 5) → B7
6. Random(-5, 5) → C7
7. Random(-5, 5) → A8
8. Random(-5, 5) → B8
9. Random(-5, 5) → C8
10. Transpose({Sequence[abs(Element[A, i, 1]), i, 1, 3]}) → list2
11. Reverse(Sort[Sequence[(Element[list2, i, 1], i), i, 1, 3]]) → c
12. If(abs(Element[U_0, 1, 1]) ≟ Element[x(c), 1], {1, 2, 3}, list7) → list8
13. Sequence(Element[A, Element[list8, i]], i, 1, 3) → U_1
14. Sequence(abs(Element[U_2, i, 2]), i, 2, 3) → list13
15. Max(list13) → g
16. Sequence(Element[list2, i, 1], i, 1, 3) → list10
17. Max(list10) → e
18. IndexOf(e, list10) → f
19. Sequence(If[i ≟ f, 1, i], i, 2, 3) → list11
20. Append(f, list11) → list12
21. Transpose({Sequence[abs(Element[U_2, i, 2]), i, 2, 3]}) → list3
22. Reverse(Sort[Sequence[(Element[list3, i, 1], i + 1), i, 1, 2]]) → list4
23. Append(1, y(list4)) → list5
24. If(abs(Element[U_2, 2, 2]) ≟ Element[x(list4), 1], {1, 2, 3}, list5) → list9
25. Random(-5, 5) → C8_1
26. Random(-5, 5) → B8_1
27. Random(-5, 5) → A8_1
28. Random(-5, 5) → C7_1
29. Random(-5, 5) → B7_1
30. Random(-5, 5) → A7_1
31. Random(-5, 5) → C6_1
32. Random(-5, 5) → B6_1
33. Random(-5, 5) → A6_1
34. Random(-5, 5) → C8_2
35. Random(-5, 5) → B8_2
36. Random(-5, 5) → A8_2
37. Random(-5, 5) → C7_2
38. Random(-5, 5) → B7_2
39. Random(-5, 5) → A7_2
40. Random(-5, 5) → C6_2
41. Random(-5, 5) → B6_2
42. Random(-5, 5) → A6_2
43. Determinant(P_0) → D_1
44. Sequence(Element[P_0, Element[list12, i]], i, 1, 3) → P_1
45. Transpose({Sequence[abs(Element[U_1, i, 1]), i, 1, 3]}) → matrix1
46. Sequence(Element[I, Element[list5, i], 1], i, 1, 2) → list6
47. Sequence(Element[P_1, Element[list5, i]], i, 1, 3) → P_2
48. Sequence(Element[I, Element[list14, i]], i, 1, 3) → Ptemp
49. Element(list1, 1) → a
50. Element(U_0, 1, 1) → b
51. Element(c, 1) → B
52. Element(x(c), 1) → d