矩阵作为线性变换

GeoGebra 命令及参数

1. Element(Reflections, (2 * indexreflection)) → reflectiony2
2. Element(Reflections, (2 * indexreflection) - 1) → reflectiony1
3. SelectedIndex(Listnames) → Indexnames
4. Intersect(xAxis, yAxis) → A
5. Circle(A, 1) → unitcircle
6. Intersect(unitcircle, xAxis, 1) → B
7. OrthogonalLine(B, xAxis) → f
8. Intersect(unitcircle, yAxis, 2) → C
9. OrthogonalLine(C, yAxis) → g
10. Intersect(unitcircle, yAxis, 1) → D
11. Intersect(unitcircle, xAxis, 2) → E
12. OrthogonalLine(E, xAxis) → h
13. OrthogonalLine(D, f) → i
14. Intersect(f, g) → F
15. Intersect(g, h) → G
16. Intersect(h, i) → H
17. Intersect(f, i) → I
18. Polygon(I, H, G, F) → poly1, i_1, h_1, g_1, f_1
19. Point(poly1) → P
20. Element(ListMatrix, Indexnames) → T
21. Vector((0, 0), P') → u
22. Vector(TP) → Tu
23. Determinant(T) → det
24. ApplyMatrix(Tanimated, I) → I'
25. ApplyMatrix(Tanimated, H) → H'
26. ApplyMatrix(Tanimated, G) → G'
27. ApplyMatrix(Tanimated, F) → F'
28. Polygon(I', H', G', F') → poly1', i'_1, h'_1, g'_1, f'_1
29. Element(ListMatrixtext, Indexnames) → Ttext
30. Flatten(T) → list1
31. ApplyMatrix(T, I) → I'_1
32. ApplyMatrix(T, H) → H'_1
33. ApplyMatrix(T, G) → G'_1
34. ApplyMatrix(T, F) → F'_1
35. Polygon(I'_1, H'_1, G'_1, F'_1) → poly1'_1, i'_2, h'_2, g'_2, f'_2
36. Element(list1, 1) → a
37. Element(list1, 2) → b
38. Element(list1, 3) → c
39. Element(list1, 4) → d
40. Textfield(scaling) → InputBox1
41. Textfield(k) → InputBox2
42. Textfield(θ) → InputBox3
43. Textfield(m) → InputBox4
44. ApplyMatrix(Tanimated, pic2) → pic2'
45. ApplyMatrix(T, pic2) → pic2'_1