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矩阵理论入门

矩阵理论入门
几何画板及绘图内容加载中，请稍等……
2020-11-18 17:55
解析几何复数矩阵
①本范例演示矩阵的基本理论及操作；②涉及核心数学概念包括矩阵加法、减法、斜率、多项式函数、假设检验、复数、线性回归；③构造摘要中使用了Shuffle、If、Random等GeoGebra命令及对象如h、a、b_{7}等；④适合高中及以上数学学习者或教师用于教学演示。

GeoGebra 命令及参数

  1. Shuffle(lista1) → lista2, {"b_{12}", "b_{31}", "b_{11}", "b_{21}", "b_{22}", "b_{32}"}
  2. If(D3 > 2, A5, "") → E4
  3. If(D3 > 3, B5, "") → E5
  4. If(D3 > 4, A6, "") → F4
  5. If(D3 > 5, B6, "") → F5
  6. If(D3 > 0, A4, "") → D4
  7. If(D3 > 1, B4, "") → D5
  8. If(j > 6, "(" + A3 + ")+(" + A40 + ")", ".") → A44
  9. If(j > 7, "(" + B3 + ")+(" + B40 + ")", ".") → B44
  10. If(j > 8, "(" + C3 + ")+(" + C40 + ")", ".") → C44
  11. If(j > 0, "(" + A1 + ")+(" + A38 + ")", ".") → A42
  12. If(j > 1, "(" + B1 + ")+(" + B38 + ")", ".") → B42
  13. If(j > 2, "(" + C1 + ")+(" + C38 + ")", ".") → C42
  14. If(j > 3, "(" + A2 + ")+(" + A39 + ")", ".") → A43
  15. If(j > 4, "(" + B2 + ")+(" + B39 + ")", ".") → B43
  16. If(j > 5, "(" + C2 + ")+(" + C39 + ")", ".") → C43
  17. If(j > 0, A45 + "·(" + A1 + ")", ".") → A46
  18. If(j > 1, A45 + "·(" + B1 + ")", ".") → B46
  19. If(j > 2, A45 + "·(" + C1 + ")", ".") → C46
  20. If(j > 3, A45 + "·(" + A2 + ")", ".") → A47
  21. If(j > 6, A45 + "·(" + A3 + ")", ".") → A48
  22. If(j > 4, A45 + "·(" + B2 + ")", ".") → B47
  23. If(j > 7, A45 + "·(" + B3 + ")", ".") → B48
  24. If(j > 5, A45 + "·(" + C2 + ")", ".") → C47
  25. If(j > 8, A45 + "·(" + C3 + ")", ".") → C48
  26. If(m > 0, "(" + A4 + ")(" + A1 + ")+(" + B4 + ")(" + A2 + ")", ".") → D7
  27. If(m > 1, "(" + A4 + ")(" + B1 + ")+(" + B4 + ")(" + B2 + ")", ".") → E7
  28. If(m > 2, "(" + A5 + ")(" + A1 + ")+(" + B5 + ")(" + A2 + ")", ".") → D8
  29. If(m > 3, "(" + A5 + ")(" + B1 + ")+(" + B5 + ")(" + B2 + ")", ".") → E8
  30. If(m > 4, "(" + A6 + ")(" + A1 + ")+(" + B6 + ")(" + A2 + ")", ".") → D9
  31. If(m > 5, "(" + A6 + ")(" + B1 + ")+(" + B6 + ")(" + B2 + ")", ".") → E9
  32. Random(-5, 5) → F12
  33. Random(-5, 5) → E12
  34. Random(-5, 5) → F13
  35. Random(-5, 5) → E13
  36. Random(-5, 5) → F14
  37. Random(-5, 5) → E14
  38. Random(-5, 5) → F15
  39. Random(-5, 5) → E15
  40. Random(-5, 5) → E16
  41. Random(-5, 5) → E17
  42. Random(-5, 5) → F16
  43. Random(-5, 5) → F17

AI 绘图提示语参考

绘制一个3x3的矩阵，包含6个随机数，然后进行矩阵加法和数乘操作，最后展示矩阵相乘的结果。首先随机生成6个-5到5之间的整数，然后用这些数构建一个3x3的矩阵。接着，将矩阵中的元素进行加法和数乘操作，并展示结果。最后，计算两个矩阵的乘积，并展示乘积矩阵。
以上提示语为根据原始绘图命令整理而来，仅供参考。