列空间A：向量空间的可视化

GeoGebra 命令及参数

1. Intersect(xAxis, zAxis) → A
2. PointIn(xOyPlane) → B
3. Vector(A, B) → u
4. Vector(A, C) → v
5. Vector(A, D) → w
6. Vector(C, D) → a
7. Angle(D, C, A) → α
8. Vector(B, D) → b
9. Segment(B, D) → f
10. Segment(C, D) → g
11. LaTeX(err1, true, true) → text1
12. Segment((0, 0, 0), C) → h
13. Surface(u_{1}, v_{1}, 0, u_{1}, -5, 5, v_{1}, -5, 5) → c
14. Text("$Col(\textit{A})$", E, false, true) → text3
15. Point(h) → G
16. Text("$\textit{A}\hat{\mathbf x}=\text{Proj}_{Col(\textit{A})}(\mathbf b)$", G + (-0, -0, 0.35), false, true) → text4