Power Method for Stochastic Matrices

Power Method for Stochastic Matrices
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2017-11-24 06:05
This example demonstrates the power method for stochastic matrices. The power method is a technique used to find the largest eigenvalue and its corresponding eigenvector of a matrix. Through 49 iterations, the convergence of the eigenvector can be observed. The construction uses commands like Intersect, Vector, Point, Textfield, and objects such as d, c, b, a, n, p_1. Suitable for high school mathematics education, particularly in linear algebra and matrix theory.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → B
  2. Vector(B, A) → u_0
  3. Point(u_0) → J
  4. Vector(J, F) → u_2
  5. Vector(J, E) → u_1
  6. Vector(J, G) → u_3
  7. Vector(J, H) → u_4
  8. Vector(J, I) → u_5
  9. Textfield(a) → InputBox1
  10. Textfield(b) → InputBox2
  11. Textfield(c) → InputBox3
  12. Textfield(d) → InputBox4