Power Method for Stochastic Matrices
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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
Intersect(xAxis, yAxis) → BVector(B, A) → u_0Point(u_0) → JVector(J, F) → u_2Vector(J, E) → u_1Vector(J, G) → u_3Vector(J, H) → u_4Vector(J, I) → u_5Textfield(a) → InputBox1Textfield(b) → InputBox2Textfield(c) → InputBox3Textfield(d) → InputBox4