8.2 正交对角化

GeoGebra 命令及参数

1. ApplyMatrix(M, e_{1}) → t_{1}
2. ApplyMatrix(M, e_{2}) → t_{2}
3. ApplyMatrix(M, e_{3}) → t_{3}
4. Sequence(Sequence[Sequence[(x_{1}, x_{2}, x_{3}), x_{1}, -4, 4, 1], x_{2}, -4, 4, 1], x_{3}, -4, 4, 1) → l1
5. ApplyMatrix(M, l1) → l1'
6. Sequence(ApplyMatrix[M, (t, (-2 * t), t)], t, -5, 5, 0.2) → l4
7. Point(l1') → B
8. Point(l1') → C
9. Point(l1') → D
10. Point(l1') → E
11. Polygon(B, C, D, E) → q1, b_2, c, d_1, e_4
12. Point(l1') → F
13. Point(l1') → G
14. Point(l1') → H
15. Point(l1') → J
16. Polygon(F, G, H, J) → q2, f_1, g_1, h_1, j
17. ApplyMatrix(M, p1) → p1'
18. ApplyMatrix(M, p2) → p2'
19. ApplyMatrix(M, p3) → p3'
20. OrthogonalPlane((0, 0, 0), Vector[p1 ⊗ p2]) → a
21. Line((0, 0, 0), p3) → f