矩阵的四个子空间

GeoGebra 命令及参数

1. Segment(A, B) → a
2. Segment(A_1, B_1) → a_1
3. Segment(C, D) → b
4. Segment(C_1, D_1) → b_1
5. Segment(A_2, B_2) → a_2
6. Segment(A_3, B_3) → a_3
7. Segment(C_2, D_2) → b_2
8. Segment(C_3, D_3) → b_3
9. Segment(C_4, D_4) → b_4
10. Segment(C_5, D_5) → b_5
11. Segment(A_4, B_4) → a_4
12. Segment(A_5, B_5) → a_5
13. Segment(A_6, B_6) → a_6
14. Segment(A_7, B_7) → a_7
15. Segment(A_8, B_8) → a_8
16. Segment(C_6, D_6) → b_6
17. Segment(C_7, D_7) → b_7
18. Segment(E, F) → c
19. Segment(E_1, F_1) → c_1
20. Segment(E_2, F_2) → c_2
21. Segment(E_3, F_3) → c_3
22. Segment(E_4, F_4) → c_4
23. Segment(E_5, F_5) → c_5
24. Segment(G, H) → d
25. Segment(G_1, H_1) → d_1
26. Vector(I, J) → u
27. Segment(E_6, F_6) → c_6
28. Segment(E_7, F_7) → c_7
29. Segment(K, L) → e
30. Segment(K_1, L_1) → e_1
31. Segment(M, N) → f
32. Segment(K_2, L_2) → e_2
33. Segment(K_3, L_3) → e_3
34. Segment(K_4, L_4) → e_4
35. Segment(E_8, F_8) → c_8
36. Circle(O, P) → g
37. Circle(O_1, P_1) → g_1
38. Segment(C_8, D_8) → b_8
39. Segment(C_9, D_9) → b_9
40. Segment(C_{10}, D_{10}) → b_{10}
41. Segment(C_{11}, D_{11}) → b_{11}
42. Segment(C_{12}, D_{12}) → b_{12}
43. Segment(C_{13}, D_{13}) → b_{13}
44. Segment(C_{14}, D_{14}) → b_{14}
45. Segment(C_{15}, D_{15}) → b_{15}
46. Segment(Q, R) → h
47. Segment(Q_1, R_1) → h_1
48. Segment(Q_2, R_2) → h_2
49. Segment(Q_3, R_3) → h_3
50. Segment(E_9, F_9) → c_9
51. Segment(E_{10}, F_{10}) → c_{10}
52. Segment(E_{11}, F_{11}) → c_{11}
53. Segment(E_{12}, F_{12}) → c_{12}
54. Segment(E_{13}, F_{13}) → c_{13}
55. Segment(E_{14}, F_{14}) → c_{14}
56. Segment(E_{15}, F_{15}) → c_{15}
57. Segment(E_{16}, F_{16}) → c_{16}