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Diagonalizing Matrices

Diagonalizing Matrices
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2020-03-24 16:29
MatrixTransformationOptimization
This GeoGebra applet aims to help understand what diagonalizing a matrix achieves. It uses commands like Polygon, ApplyMatrix, and Point to dynamically demonstrate the process of matrix diagonalization, allowing students to visually grasp the concept. Suitable for high school and above students learning linear algebra.

GeoGebra Commands & Parameters

  1. Polygon(B, C, D, E) → poly1, b, c, d, e
  2. ApplyMatrix(A, B) → B'
  3. ApplyMatrix(A, C) → C'
  4. ApplyMatrix(A, D) → D'
  5. ApplyMatrix(A, E) → E'
  6. Polygon(B', C', D', E') → poly1', b', c', d', e'
  7. Point(yAxis) → F
  8. Polygon(F, G, 4) → poly2, j, k, n, s, H, J