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Graphically Find Eigenvectors of a Matrix

Graphically Find Eigenvectors of a Matrix
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2016-12-01 12:38
VectorCoordinate GeometryMatrix
In collections UNSW MATH1131/1231 Algebra material
This example demonstrates how to graphically find the eigenvectors of the matrix [[-1,2];[2,-1]]. Key mathematical concepts include matrices, eigenvalues, and eigenvectors. It uses GeoGebra commands such as Intersect, Point, and Vector for construction. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(c) → B
  3. Vector(A, B) → u
  4. Vector(((-x(u)) + (2 * y(u)), (2 * x(u)) - y(u))) → v